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User Guide - Maplesoft

1. Can qu x y Requi a quired or include 5 a 3 stee optional HTML or Field Type Description Function MathML mode Required No Internal System command that identifies the question type directive type Required in No Internal Specifies subtype of Maple question For Maple Maple graded directive Syntax questions it is maple For Maple Formula questions questions it is formula name Optional Yes Display no Displays text that identifies individual question variables editing Optional No Internal Indicates use of HTML editing in the question Set directive directly or automatically by Question Bank Editor question Required Yes Display The question statement Can contain any can contain combination of text MathML HTML tables or variables references to images or objects algorithm Optional No Internal Contains variable definitions for use in the question directive Must conform to the system formula and variable syntax 11 3 Question Fields 131 Table 30 Maple T A Question Fields Can qu x y Requi equired or include z NE P Rea optional HTML or Field Type Description Function MathML answer Required No Internal Defines correct answer for use in grading If except in directive mathematical question must conform to the system essay math formula syntax matching and Maple graded questions answer number Opti
2. a Enter onty the expression for the function omitting fogs Click Plot to verify that your function increases Enter Maple code that evaluates to the correct answer The last line must evaluate to an expression that will be stored as the variable ANSWVER The variable SANSWER will be available when formulating the grading syntax e g evalb SANSWER RESPONSE 0 Enter Maple code to grade the student response The last line must evaluate to a Boolean value true or false or a floating point value between 0 and 1 The variable SRESPONSE is automatically initialized to the student s response assume x gt 0 x lt 1 verify diff RESPONSE x O greater_equal Select the type of expression you want to accept Formula e g x 2 sin x 2 v Optional Import a Maple repository You can import and link Maple repositories to the server Click Maple Repositiory to access files Maple Repositor LIB Location output fer Plotting Enter Maple code to plot the student response The variable SRESPONSE is automatically initialized to the student s response The last line must be a plot command plot RESPONSE x 0 1 v 7 The Plotting text region allows you to plot a student s response by entering a Maple plot command and including RESPONSE as the expression to plot In the Plotting text region enter plot RESPONSE x 0 1 When the student is answering the question they can click the Plot link to see a plot of their resp
3. Information Fields The info field allows you to add information subfields to a question to indicate subtopic learning objective level of difficulty authorship ownership or other information The information fields are defined as name value pairs and can be used for sorting and filtering during assignment creation When editing a question in the Question Editor you can add or edit information fields To add or edit information fields 1 On the New Question window click the Add or Edit button in the Information Fields area 2 Enter or edit field names and corresponding values in the Field and Value text boxes 3 Each question can contain any number of information fields To add rows click the More button 4 Click OK 5 To add your changes to the cached question bank proceed to the Question Display screen and then click Finish Hints You can enter hints that can be displayed when taking an assignment To use hints you must enable them in the Set Policies tab of the Assignment Editor When editing a question in the Question Editor you can add or edit hints To add or edit a hint 1 On the New Question window click the Add or Edit button in the Hints area 2 Enter or edit the hint in a text box Hints can include text HTML formatted text JavaScript code and variables 3 Each question can contain any number of hints To add hint boxes click the More button 4 Click OK 5 To add your changes t
4. Mastery assignments are similar to study session assignments except the results are recorded in the Gradebook These assignments usually draw from a large pool of assignment material often algorithmically generated to produce limitless question permutations The instructor chooses the questions to include and sets criteria for mastery These assignments are delivered one question at a time and the student submits each question for grading individually and immediately instead of having the entire test graded at the end For Mastery assignments instructors create carefully structured collections of questions grouped by learning objectives The default delivery is in sequential order You can specify additional criteria for your assignment by clicking the Edit mastery policies link For a summary of assignment attributes see the following table Table 1 Assignment Attributes Assignment Graded Recorded in Hints Solutions Type Gradebook Available Available Anonymous yes no yes no Practice 4 5 Setting Policies 45 Table 1 Assignment Attributes Assignment Graded Recorded in Hints Solutions Type Gradebook Available Available Homework yes yes yes no Quiz Mastery yes yes yes no Proctored yes yes yes no Exams Study Session yes no yes yes Feedback You can specify which feedback elements are displayed to students when they grade an assignment The defau
5. 8 7 07 2 25PM 15min Algebra Details 26 8 8 07 1 34PM 8 8 07 1 58PM 23 min Algebra Details 27 8 8 07 3 24PM 8 8 07 3 42PM 18min Algebra Details 28 8 10 07 1 34 PM 8 10 07 1 58PM 23min Best score 28 Avg score 25 75 Attempts 4 Class avg score 10 69 To change a student grade 1 N a w o O In the resulting report click the student name The student record opens as shown in Figure 5 C Beside each assignment is a link called Details Click this link to display the assignment results Edit the grade in the New Grade field Optional Add comments in the Comment on Grade box These comments are strictly for your records they are not visible to the student Optional Add comments in the Instructors Comment box Students see these comments when they review their performance on the test You can add personalized comments to help individual students understand their scores and master the material Click Update at the top of the page Click Submit to regenerate the statistical information 58 5 4 Assignment Statistics From the generated report you can view details about the assignments To view assignment details click on one of the assignment links at the top of the student report table Figure 5 D Assignment Link Item statistics Students Instructors Proctors Algebra LastName First Name Grade Total The following det
6. ccccccccccessssssceeceececececceessensssssaeeeseeseeesenes 56 Assignment Statistics sresisisrierrre krri tears stritter itane sE e EES EEEE ISE ie 58 Tern Statistics aa A N a A teal 59 Add External Assignment cccccccccssecssccceccecesceessssssseceeeeseeeecesesensrnssaees 59 Content Creation in the Question Editor seeeeeeeee 61 Question Types iane a a a a a aa i aaea 61 Enhancing Questions eleien aa a A a ATS 63 Feedback Arosio tit Fad EE RE E eE EEE E EANN 63 Information Fielda senodora a a A aE N aA 64 Hintsanen t nS N ee eee 64 DOLUtION kimelea aa a a lend saa notations 65 Including Formatted Math Expressions in Questions ccceeseeeees 65 Using the mathml Function ssssssesessssssssssossssssrseserereoresessssssssssssses 65 Using the Math Editor s sssssssnsnseseseesssesesssssssssssesessesrsrseeeesesesenssssssss 66 Using Maple s MathML ExportPresentation Function 005 67 Including Images in Questions cccececeessessesseceeeecececcesesenssstaeeeceeeeees 67 Static Imares diurai o a e a E a iS 67 Ma ple Plots 2 erna E OE Re sete 68 Algorithmic Variables viii iicesscccecicednsantesactte oa endaaads ceewusadnicannunccanuvons 71 Creating Algorithmic Variables in Maple T A cccecccccccceeeseteeeeeeesaes 71 Algorithm Design Tool cccccccccccccessssssssecceeesecceccsesessesssassaaeeeeeeeeees 72 Maple T A s Built in Functions and Constants c ccccccc
7. The last line must evaluate to a Boolean value true or false or a floating point value between 0 and 1 The variable RESPONSE is automatically initialized to the student s response evalb ANSWER RESPONSE 0 create a Maple graded question Select Questions then New Question Differentiate sin x x with respect to x Enter Maple code that evaluates to the correct answer diff sin x x x The following Maple code to grade the student response is provided automatically evalb RESPONSE ANSWER 0 9 3 3 Example Questions 31 RESPONSE is a system variable that corresponds to the response the student entered when completing the question and ANSWER refers to the correct answer you entered in step 6 By default the Maple graded question type accepts Formula expressions In Maple graded Formula question types students can enter a math formula that is an expression constructed of numbers variable names and the standard arithmetic expressions and functions The student must not use Maple commands in the response The instructor must write code such that the student does not have to use a trailing semicolon in the response For details refer to the Maple T A Help system Scroll to the top of the page and click Finish 10 Enter the correct answer cos x x sin x and click Grade Plotting the Student s Response Using the Maple graded question type you can generate a plot of the st
8. and those changes will be automatically propagated to all subscribers question groups 4 Clone a public question from repository This operation creates a local copy or clone of the public question and sets the owner to the instructor 11 12 gt who made the clone Only this subsequent instructor will be able to modify the cloned question All changes made to the original public question will not be visible in cloned questions The Inherit Shadow and Clone methods have disadvantages e When instructors Inherit or Shadow a public question they should expect it to be modified by the question owner at any time without notice however the question most probably will be a valid question with all resources images etc in place e When instructors Clone a question they can be sure that it will not be touched by anybody but there is a danger of losing resources images etc because the cloning process does not copy the resources to the instructor s web space therefore they can be deleted any time by the original author of the question To create a question 1 Click the Question Repository link from the menu bar 2 Click Questions then New Question 3 Create the question and add it to one or more Groups To share a question 1 Find the question that you wish to share 2 Click the share button i or click the checkbox beside the questions you wish to share and then click Make Public To shadow a question 1 Cl
9. ccccceecsessssseccececeececeeeeeesssssasecaeeeeeeeeess 123 OVEN VIC W iei macs ea Aa a 123 Plain text Question Files cccessssseeeeeeeeeeeeeseeeeeeeeeeeeeeeeeseaeeeeees 127 Question Tags o cccccccscsssssssecceceseccecceeeessesssasecaeceeeceecseeeesessessecaeeeeeceeess 128 Question Type Modes ccccccccccccccccceccsceessessessecsecececeeccseseseesssstsaeeaeeceeees 129 Question Fields siii nn else esas a a aa iad 130 Notesi aa eN e aaa e RER a aaea aE oiee Ea 132 Plain text File Question Enhancements c cccccccesscsceessssceeeeeeseeeeees 132 Response specific Feedback ccccccesssesseccecececceceseeessessssecseceeeeeeess 132 Key Word Questions cccccseessesscecceeeceeceeeseeeesssseaueeeeeeseceeeseneeneas 133 Preface Audience The information in this guide is intended for instructors using the Maple T A system for the first time Goals This guide serves as an introduction to the Maple T A system and is grouped into three parts Chapters One through Five provide information related to each component of the system Chapters Six through Eight provide instruction on basic question creation using the Question Editor Chapters Nine through Eleven provide instruction on advanced question creation including the use of Flash movies and Applets LaTeX and Plain text question creation Initially the chapters should be read in sequence This provides a linear introduction to the process of using the
10. code variablel code1l variable2 code2 var variable name Question displayed in Maple T A Find the solution of the linear equation 3x 12 2 This question accepts numbers or formulas Help Change Entry Style Preview 122 10 3 Placing Images in Questions Setting the Image Base To include graphics in your questions begin by specifying a location in Maple T A where your images reside 1 Select a location in your Maple T A web site for graphics files Upload the graphics to this folder Now click on the icon to the left of any of these graphics files to see its full path which will have the form http web Public_Html lt folder gt where lt folder gt is the folder that contains the images 2 Insert the setImageBase directive near the top of the LaTeX file to specify the path you determined in step 1 For example if the folder that contains your graphics is Images use the directive setImageBase web Public Html Images Note set ImageBase has a global effect on your document and grouping set ImageBase within braces will not localize its effect The image base defined within the group will apply to the remainder of your document You may temporarily override the image base with ignoreImageBase This macro takes no arguments Its effect is local so upon leaving the current group or environment the image base will revert to its previous value For further details see t
11. degree 3 set flav n A set containing n entries where the entries of the set are described by the given random flavor flav The final set can contain fewer than n entries if the same object is generated more than once truefalse opt Describes the values true or false By default the values true and false will be chosen with equal probability but you can modify this by using the probability option e g probability p where p is a numeric value between 0 and 1 that specifies the probability that the object will be true Some examples a maple randomize RandomTools Generate integer range 2 9 returns a random integer between 2 and 9 inclusive b maple randomize RandomTools Generate list rational denominator 30 10 returns a list of 10 rational numbers whose denominator is 30 They are returned in simplified form c maple randomize RandomTools Generate integer range 3 10 rational range 3 10 denominator 18 returns a list of two elements where the first element is an integer in the range 3 to 10 and the second element is a rational number between 3 and 10 whose denominator is 13 You can also include other Maple commands in the algorithmic variable definition d maple randomize Q seq RandomTools Generate integer distribution normald 3 5 1 5 i 1 10 creates a 10 item sequence of integers that follow a normal distribution 7 5 Examples of Randomizat
12. delete just the course module name from the list of course modules or delete the course module name from the list and all or part of its content from your class 2 3 Child Classes 15 To delete a course module 1 Log in as an instructor and click on the class name that has the course module Click Content Manager then Course Modules Select the checkbox beside the course module you want to delete and then click Delete This will remove the course module name from the list of course modules but it will not delete the content of the course module from your class You will receive a warning Click OK to delete the course module name from the list To delete course module content from a class 1 Log in as an instructor and click on the class name that has the course module Click Content Manager then Course Modules Select the checkbox beside the course module you want to delete and then click View Details Select the checkboxes beside the items that you want to remove from your class and click Delete You will receive a warning Click OK to delete the course module name from the list and the selected content from your class 2 3 Child Classes If you have a class that contains content that you want to share with other instructors at your institution you have the ability to share the entire class The benefit of sharing the class rather than providing a course module is that there is a l
13. indexof k a b the index of item k within a list where position numbering starts at 0 If k is not present in the list the returned value is 1 indexof 3 2 3 5 7 11 the nth smallest item from a list rank n a b c where position numbering starts at 1 rank 1 9 6 11 Table 9 Trigonometric and Hyperbolic Functions sin x cos x tan x arcsin x arccos x arctan x sec x csc x cot x sinh x cosh x tanh x sech x csch x coth x arcsinh x arccosh x arctanh x arcsech x arccsch x arccoth x Table 10 Statistical Functions Function Return Value Example Output binomial n r he rth binomial coefficient of degree n that is binomial 6 2 15 he number of ways of choosing r objects from a set of n ignoring order erf z he cumulative probability for a standard normal erf 0 0 5 distribution that is with mean 0 and variance 1 inverf p he inverse function of erf z inverf 0 5 0 studentst k x he cumulative probability distribution at x of the studentst 2 1 55 0 869362 Students t distribution with k degrees of freedom invstudentst k x he inverse function of invstudentst k x invstudentst 2 1 55 1 55 Table 11 More Functions Function Return Value sum var_name start stop expr between the values start and stop Sums the expression expr with respect to the dummy variable
14. var_name 7 3 Examples of Randomization Functions in Maple T A 77 Table 11 More Functions Function Return Value strcat a b c d The concatenation of the strings in the list mathml f A string consisting of the formula f typeset in MathML Note The system renders MathML the MathML tags do not appear on the screen when the value of the string is displayed See Section x x ca5 for more information on this function The arguments a b c d are passed to a custom Java evaluation engine that returns the result The first argument cn must be a string giving the fully qualified name of a Java class that implements the interface java cn a b c d gateway question random AlgorithmicFunction This interface has a single public method public String eval String args The arguments a b c d are passed to eval in a string array maple text The text is passed to the Maple kernel which returns the value of the last line processed See sections 7 4 and 7 5 Table 12 Examples Command Output sum i 1 20 i42 Evaluates 142 242 342 2042 and returns 2 870 strcat a and b Returns cats and dogs when a cats and b dogs mathml x n n x mathmI frac 4 6 2 3 java Com mycompany QuoteFunction A real time quote for Sun Microsystems Inc stock assuming that SUNW the class QuoteFuncti
15. width decimal 1 rand 2 5 6 5 length decimal 1 rand 4 5 10 0 condition not eq width length area width length 5 Click Save You return to the New Question window 6 Click Next The Question Editor gt Add Question window opens 7 In the Text of the question field enter the following 80 Given a rectangle with width of width meters and length of length meters calculate its area 8 In the Number text box of The correct answer area enter area 9 In the Units text box of The correct answer area enter m 2 10 In the Specify precision area select the radio button beside Require absolute accuracy 11 Click Finish The Question Editor gt Preview Question window opens displaying the question as it appears to the student Color Combinations This fill in the blanks example illustrates the use of the switch command to customize the question Given two lists of information one of three pairs of colors and one of the colors when the pairs of colors are mixed we can define a random index value and then base the question on one of these three pieces of matching information To create the question 1 In the New Question window select the Question Designer question type from the Question Type drop down list 2 Enter Color as a description in the Question Description field 3 In the Algorithm section click Add The Edit Algorithm window opens 4 Enter the following code in the text box index rint
16. x is selected Notice that the last line of Maple code uses the LinearAlgebra Equal command which takes two vectors or matrices and returns true if and only if they have the same entries The command evalb RESPONSE gradValue would not work in this example because the sign in Maple cannot be applied to Matrices or Vectors We set the type of expression to accept expressions as Maple syntax instead of Formulas because the Formulas option does not parse vector brackets lt gt 8 7 Allowing for Partial Grading This example asks for the zeros of an equation Denoting by R the set of values submitted by a student and S the actual solution set we will have Maple compute the grade as follows max S R S RI 0 Grade R This will produce a number between 0 and 1 1 In the New Question window add a new Maple graded question 2 Open the Algorithm screen and enter plot plotmaple plot x 3 x x 2 2 y 2 2 plotoptions width 200 height 200 3 Proceed to the Maple graded Question and Answer screen 4 Enter the question Solve the equation omitting x from your answer plot 102 If there are multiple solutions enter each separated by commas e g 3 2 5 Enter the Maple answer code solve x 3 x x 6 Enter the Maple grading code good nops RESPONSE intersect SANSWER bad nops RESPONSE minus SANSWER evalf max good bad 0 nops ANSWER 7 Ensur
17. 1 1 T i 1 1 1 T 1 1 1 a a 1 Shaw atherine 1 1 1 1 a 1 1 1 1 1 4 1 1 1 1 1 1 1 z 1 0 Redman Simon 144444994 4 4 4 4 4 4 a 4 4 4 gG a Graham Kerri 1 1 1 1 1 1 1 1 1 1 aT 1 1 1 1 1 4 1 1 1 0 Theron Denise 1 1 1 1 1 a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Patterson Jenn 1 1 aT 1 1 1 7 1 1 a 1 1 1 1 1 1 1 1 1 1 0 Douglas Grady 1 1 1 1 1 1 1 i 1 1 1 1 1 1 F 1 1 1 1 1 lt a Export options CSV Excel XML 5 5 Item Statistics 59 5 5 Item Statistics The system collects statistical data on the questions used in your assignments It can automatically produce various statistical analyses based on item usage and student performance View item statistics by clicking on the Item Statistics link below the View Panel Statistical information for each question includes the success rate p Value d Value number of times the question was answered the number of times the question was answered correctly and incorrectly and if any partial marks were given Additionally for non permuting non algorithmic multiple choice questions a chart is automatically displayed with the frequency each choice was selected Figure 5 F Item Statistics v Algebra Success rate Question Description p Value d Value Count Correct Partial Incorrect 1 v Linear equations 1 1 1 10 10 0 o Choices Frequency Chart 1 80 o 5 a 1 3 19 96 0 1 4 80 0 1 5 500 10 v Arithmetic of rational numbers order
18. Equation Vector of Formulas and Chemical Equation Maple graded Question Types Formula and Maple Syntax Multiple choice Non permuting Multiple choice displayed horizontally or vertically Numeric Question Types With and without required unit dimensions List Questions including text or menu input styles exact or relaxed graders multiple correct or incorrect responses can be specified partial credit can be defined for each response Essay Question The following provides instruction for creating a simple multiple choice question using the Question Designer In addition navigating previewing and enhancing the appearance of a question are discussed Multiple choice Question using the Question Designer To use the Question Designer 1 2 Select Questions then New Question Select the Question Designer question type from the Question Type menu Enter Multiple choice in the Question Description field Click Next The Question Editor opens the Question Designer In the Text of the question field enter the following Question What is 17 9 24 6 Click the Insert Edit Response Area button to launch the Edit Response Area window Figure 3 E Edit Response Area Edit Response Area X Edit Response Area Choose Question Type Multiple Choice Multiple Pemuting Horizontal Numeric List Essay ints Solution Edt
19. Help Preview 96 8 3 A Question with Infinitely Many Correct Answers Part of the power of using Maple in Maple T A is that you can ask questions that have an infinite number of correct answers and let Maple do the work of determining if the student s response is correct You don t have to provide a long list of possible answers to your markers In this example we build a question that asks for a function that is increasing on a given interval We will use a different verification routine verify and we also show the ability to plot the student s response 1 In the New Question window add a Maple graded question and enter the description Increasing function 2 Proceed to the Maple graded Question and Answer screen 3 Enter the question Give an example of a function f x that is increasing on the interval 0 1 Enter only the expression for the function omitting f x Click Plot to verify that your function increases In this question simple HTML tags are used to format the question nicely Since this problem has infinitely many correct answers we won t enter specific code in the Maple answer code text region Enter the Maple grading code assume x gt 0 x lt 1 verify diff RESPONSE x 0 greater_equal Ensure Formula e g x 2 sin x 2 is selected 8 3 A Question with Infinitely Many Correct Answers 97 Figure 8 G Including plotting code in a Maple graded question
20. If you create your multiple choice questions in the Question Designer then you can add response specific feedback without having to edit the qu file This feature was added in Maple T A 3 0 Multiple choice Question The following example shows three possible answers each of which returns a different comment to the student if they choose it Example Question Script mode Multiple Choice name MC1 editing useHTML algorithm f mathml 2 x 2 10 x 12 0 g maple printf MathML ExportPresentation 2 x 2 10 x 12 0 question What is a solution to f in simplified form answer 1 choice 1 x 2 choice 2 x 4 2 choice 3 2 x 38 x 2 comment 1 Well done comment 2 Your answer should be in simplified form 11 4 Plain text File Question Enhancements 133 comment 3 Set one of the factors equal to 0 and solve for x List Question A basic List question can be created in the inline editor of the Question Editor You can add response specific feedback by editing the qu file and uploading the altered question file The following example shows four answers that each have feedback geared toward that question Example Question Script question Who first developed the General Theory of Relativity grader relaxed display text answer 1 Einstein credit 1 1 0 comment 1 Yes but you should use his full name answer 2 Albert Einstein credit 2 1 0 comment 2 Completely correct answer 3 Stephen Hawking credit 3 0 2
21. T A Questions 107 Example Consider the following question which uses the label image applet to add dynamic labels to points along the axes of a graph Figure 9 A The following image uses the labeling applet to incorporate algorithmically generated values for the axis labels Question Name Equilibrium price Assume that the equilibrium price of tennis raquets is 135 as shown in the graph below Price Supply Demand Quantity 0 830 1 660 2 490 f a law is passed that forces the sales price of tennis raquets to be 225 how many units will be sold Number Here is the applet code lt div align center gt lt applet code applets labellmage Labellmage width 316 height 258 codebase hittp localhost 8080 mapleta modules gt lt param name image value web mapledemo Public_Html sup_dem_graph gif gt lt param name size value 5 gt lt param name label 1 x value 15 gt lt param name label 1 y value 107 gt lt param name label 1 text value B gt lt param name label 2 x value 15 gt lt param name label 2 y value 159 gt lt param name label 2 text value A gt lt param name label 3 x value 76 gt lt param name label 3 y value 250 gt lt param name label 3 text value a gt lt param name label 4 x value 129 gt lt param name label 4 y value 250 gt lt param name label 4 text value b gt lt param name label 5 x value 184 gt lt param name lab
22. _ Feedback Algorithm info Ea 7 Select Multiple choice in the left pane 8 Select Permuting in the Permute Choices row 9 Highlight and delete choice 1 and enter 26 10 Highlight and delete choice 2 and enter 27 11 Press Enter to display a third multiple choice option 12 Enter 23 Now that you are finished entering choices click OK 13 Click the radio button beside the correct answer to mark this answer as correct and click OK 14 Click Finish The Question Editor gt Preview Question window opens displaying the question as it appears to the student 3 3 Example Questions 25 Figure 3 F Multiple choice Question Preview Window Question Name Multiple Choice Question vhatis 17 9 O 23 27 O 26 To test and review your question 1 In the Question Editor gt Preview Question window select the correct answer 26 and click Grade The Preview Grade window opens A Correct icon is displayed along with your answer matching the correct answer Click OK to close this window and return to the Preview Question window 2 Again in the Preview Question window select an incorrect answer 23 and click Grade The Preview Grade window opens An Incorrect icon is displayed along with your answer and the correct answer Click OK to close this window and return to the Preview Question window In the next example the Multiple choice question created in the previous example is extended
23. button 10 As you add possible answers the system assigns them a credit value of 0 0 in the right column Additional answers are graded as fully correct 1 or partially correct answers with any value between 0 and 1 assigned Edit the weight for Leonardo Fibonnaci and enter 1 0 11 Click OK to exit the Edit Response Area window 12 Click Finish to exit the Edit Response Area window 13 Click the Finish button at the top of the Question Designer The Question Bank Editor displays the question as it is viewed by students Numeric Question using the Question Designer 1 Select Questions then New Question 2 Select the Question Designer from the Question Type menu 3 Enter Question Designer Numeric as a description in the Question Description field 4 Click Next The Question Designer opens 5 In the blank text area enter the following question Round 2 76789 m to three significant digits Click the Insert Edit Response Area button check mark symbol to launch the Edit Response Area window In the Choose Question Type area select Numeric 8 Enter the correct answer 2 77 in the Numeric Part field Click the blank field next to the Units Part field and enter a required unit dimension for the correct answer in this case m for meters If you do not enter a required unit dimension the system displays only a single response cell that accepts only numbers for student answers If you do enter a re
24. by specifying algorithmic variables hints solutions and feedback Multiple choice Question with Randomly Determined Parameters Specifying algorithmic variables allows you to generate a question that changes each time you view it Because values in the question are randomly 26 determined for each instantiation students answer variations of the same question Figure 3 G Question Editor with Algorithmic Example To specify algorithmic variables 1 In the Preview Question window click Edit The New Question window opens Note This procedure will overwrite the first question and not create a new one 2 In the Question Description field change the description to Multiple choice Enhanced 3 Click Next The Question Designer window displays 4 Select the Algorithm tab and click Edit 5 Enter the following code in the text box a range 10 b range 10 condition ne a b sum a b product a b The range n function generates a random integer in the range 1 n inclusive There are n numbers in that range Hence it is a selection of one number from a choice of n The condition ne function ensures the two variables are not equal is required to indicate a variable The question variables are set to a and b These will range from 1 to 10 The answer is set to sum which is the integer value of at b As this question is multiple choice you must generate wrong answers to be disp
25. in the Feedback section 6 Enter the following A plot of the expression is plot1 7 Click Save Apply Partial Grading to Maple graded Questions You can modify Maple graded questions to allow grading between 0 0 and 1 0 for part marks The following is a simple application of partial marks In solving 3x 6 12 for x students may add 6 to 12 instead of subtracting it If they made this error but divided by 3 properly they would get a result of 6 In this case the instructor can give them half marks by using the grading code shown below Text for the Solve for x in the following equation 3x 6 12 question Maple code that solve 3 x 6 12 x evaluates to the correct answer Maple code to if SRESPONSE 6 then 0 5 else evalb RESPONSE grade the student ANSWER 0 end if response See Chapter 8 for more in depth coverage of the Maple graded question type List Question using the Question Designer To create a List question 1 Select Questions then New Question 3 3 Example Questions 33 2 Select the Question Designer from the Question Type menu 3 Enter List as a description in the Question Description field 4 Click Next The Question Designer window opens 5 In the Text in the question field enter the following question Who introduced the Arabic number system to Europe 6 Click the Insert Edit Response Area button to launch the Edit Response Area Figure 3 K Insert Edit Response Area Button Text o
26. of operations 1 1 1 10 10 0 0 Choices Frequency Chart 1 25 0 1 2 _ 13 0 1 3 3 10 1 1 47 0 5 23 o Radicals 1 1 1 10 10 0 0 Choices Frequency Chart 1 24 a ale o l D 4af biT o k D 24 at 2k o out 4at h o l 5 4af S3 10 I 1 5 6 Add External Assignment The Gradebook gives you the ability to add the marks of an assignment that is not in the system To add the marks of an external assignment From the Class Homepage click Gradebook and select Add External Assign Enter the assignment name total points and a passing score in the appropriate fields 60 gt Enter a score for each student and optionally a comment Click Save to finish or Save amp Add Another to add another external assignment External assignments are displayed in the gradebook with other assignments 6 Content Creation in the Question Editor 6 1 Question Types There are many different question types that you can choose The following table lists the most used question types and gives a brief description Blanks Blank questions are a type of free response question They present the student with a question and response object in which to enter their response The response object can either be a text region or a drop down menu of choices The blank question does not provide as many features as the list question Clickable imagemap A clickable image question presents an image wi
27. polynomial with specific properties The LinearAlgebra package contains the RandomMatrix and RandomVector functions The RandomTools package contains a variety of functions for creating random Maple objects from simple random integers or polynomials to lists of values that follow specific probability distributions In addition since Maple is a programming language you could write your own customized program in Maple to generate any type of variable or object that you need All random number generators use the same underlying random number sequence so when using Maple s randomization routines you must include randomize as the first part of the call This uses a number based on the system clock as the initial state instead of the default seed that is used in Maple If you don t include randomize each call will return the same 82 gt sequence of values since each call to Maple from within Maple T A starts a new Maple kernel and that will reset the default randomization seed Notes When entering multiple commands ensure that all except the last have a trailing colon The last command should have a trailing semi colon When referencing negative or possibly negative random variables in a maple variable definition be sure to place the negative variable in parentheses otherwise you may receive an error message Random Integers The rand function is a simple way to create random integers You can also use the Rando
28. random variables in the Maple code have a in front of them Check that all random variables in the Maple code have parentheses around them For example instead of p factor x 2 b you should use p factor x 2 b e Check the type of expression to accept If the correct answer is or contains an equation vector matrix unevaluated derivative or integral or a Maple command the type of expression must be set to Maple syntax not Formula Check that all instances of RESPONSE and ANSWER are in upper case letters I m seeing variable names instead of instantiated variable values in the question Make sure that all references to random variables have a character in front of them My random Maple variables have the same values at each question instance Make sure the Maple command that generates the random object has the prefix randomize The syntax is lt var name gt maple randomize lt maple command gt 9 Flash and Applet Questions Maple T A supports Flash movies and Java applets In fact you can include a Flash movie or Java applet in any question type as described in sections 9 1 and 9 2 In addition you have the ability to create a question where students are graded directly on their interaction with the Flash movie or Java applet This more advanced functionality is described in sections 9 3 and 9 4 9 1 Flash Movies in Maple T A Questions You can includ
29. rint m n A random integer among rint 3 6 3 4 or5 m m 1 n 1 74 gt Table 5 Random Number Generators Command Output Example Output rint m n k A random integer among rint 3 12 3 3 6 0r9 m m k m q k where q is the largest integer such that m q k n k Note that rint n rint 0 n rint 0 n 1 range n A random integer among 1 2 n range 3 1 2 0r3 range m n A random integer among m m 1 n range 3 6 3 4 5 or6 range m n k A random integer among range 3 12 3 3 6 9 or 12 m m k m q k where q is the largest integer such that mtq k n Note that range n range 1 n range 1 n 1 rand m n A random real number between m and rand 0 5 9 5 A real number between n inclusive 0 5 and 9 5 inclusive rand m n k A random real number between m and rand 0 5 9 5 3 Areal number between n inclusive expressed to k significant 0 5 and 9 5 inclusive digits expressed to 3 significant digits Note that in this definition k represents the number of significant figures not the step size as it indicates in defining range and rint You can place conditions on your variables For example you can specify that two variables are not to be equal or define a value for a specific variable based on the values of other variables Table 6 Conditions Command Effect condition x Imp
30. solution solution Use HTML editing All lines in the qu file must be prefaced by qu x y where x is the topic number and y is the question number The question elements in the following tables are specific to certain question types Table 26 Specific Elements to Multiple choice Multiple selection Questions Question Editor Plain Text qu file LaTeX Answer answer choice Choices choice x choice Table 27 Specific Elements to Formula Questions Question Editor Plain Text qu file LaTeX Answer answer answer 11 2 Question Type Modes 129 Table 28 Specific Elements to Maple graded Questions Question Editor Plain Text qu file LaTeX Question Sub type type type Answer Code maple_answer Not available Grading Code maple maple Repository libname Not available in question but lib can be used as an argument to an algorithmic variable Plot Code plot plot 11 2 Question Type Modes Every question has a mode element which identifies the question type Following are the values of the mode element for the various question types in Maple T A Table 29 Values of Mode Elements Question Type qu x y mode lt question_type gt Blanks text menu formula options qu x y mode Blanks Clickable imagemap qu x y mode Clickable Image Constant of integration Formula mod C q
31. subfolder if packages are used on the Maple T A server Step 2 Create and Deploy a Java Class for Grading This is a server side grader module that accepts the student response as prepared by the applet and compares it against the correct answer that you will set in Step 3 Your grader class should implement three methods 1 An init String paramName String paramValue method with void return type This method receives a set of name value pairs which it can use for initialization These are passed from the grader param fields in the question see Step 3 2 A grade String correctAnswerText String studentResponseText method with a double return type value between 0 0 and 1 0 where 1 0 is full credit The method should compare the text of the student response with text representing the correct answer Note The student response text is delivered from the applet s getResponse method In many cases grading will be performed by judging whether the response is the same as the correct answer text However in some cases the correct answer text may only provide general guidelines for grading For example the correct answer might be up and to the left and the student response might be a point 76 145 that the student clicked on 3 AgenerateResponseMatchingAnswer String correctAnswerText method with String return type This method is called to get a sample correct answer to display as student feedback The method must use the answ
32. system at once using a special type of import In this case only the Login column of the import file is used or required 1 From the System Homepage click Actions and select Administer Users 2 From the Actions menu select Roster and then Delete 3 Select the radio button to determine if the users will be permanently deleted cannot be restored or marked as deleted can be restored 4 To locate the roster for batch removal click Browse Navigate to the file and click Open 5 From the drop down menu select the type of file being submitted as either Comma separated or Tab separated 6 Click Submit A table is displayed that includes all information in the database for the users selected 7 Click Delete Roster A roster validation summary is displayed Users that are permanently deleted are removed from the entire system along with any assignment answers or grades owned by those users Users that are marked as deleted are moved to a separate database within the system and no longer have access to the system but all of their information is stored They can be restored later by doing a search for deleted users in the Administer Users page selecting the check boxes beside their names and clicking Restore Permanently deleted users will not show up on a search for deleted users Adding Individual Users You can also add users to the system individually This is useful for adding a small number of use
33. teh oa 16 Propagation of Material from Featured to Child Classes 16 Question REPOSItOly ii nnwcccsccdccccsscssecentedecncetensctecasceeeivevaonseevecctectdeeatve 19 OVERVICW ae e ban aa a rar a N eaa aaa Te Aa E EA aa 19 Question Editor morrir A A a AR RA 19 Example Questions ccccccccccccceccssssessnsecseceeeeceececesesesessssseeseeeseeeeeeseeenees 21 The Question Designer 0 cccccccesesssceececececcecceesenssssececeeeeeseeeseneees 22 Multiple choice Question using the Question Designer 06 23 Multiple choice Question with Randomly Determined Parameters 25 Multiple Choice Question Incorporating 2 D Math ccceeeeeees 27 Maple Graded Question cccececcsessscssceceececcecesesensssssseeeseeeeeesesenees 29 Plotting the Student s Response ccccceessssseccececeececeeesessesstseeeeeees 31 Inserting a Maple Plot in the Question Feedback cccceeseeees 31 Apply Partial Grading to Maple graded Questions ccceeeees 32 List Question using the Question Designer c ccccceeesseceeeeeteeeees 32 Numeric Question using the Question Designer cccsseeeeeee 34 Eg ation Editor sads enrere aaen a ae a eden tssubusaebugess Oaa a en aS 35 Downloading Questions ccccccccccccecescesseesessecseceeecceccseesesssssstecseeeeeeeeees 35 Ae aLL aa EE ETTA TE 37 Baa a AE vice E ENAN E A EA N NE E A 37 Assignment Editor Main Menu ssssssssssse
34. that criterion group The program deletes the last criterion from the group You may have to change the settings for the remaining criteria in the group to set the requirements that you want To delete an AND criterion group click the Remove criterion button at the bottom of the form below the last criterion group The program deletes the last group You may have to change the settings for the remaining groups to set the requirements that you want Save Changes to Criterion To close the Set Polices Advanced page and save changes made to the criteria click the Set Policies tab 4 6 Reviewing and Saving Assignments In the Review amp Finish tab of the Assignment Editor you can review assignment summary information including Assignment Type Questions Selected Scheduled Availability Rules and policies you established 4 7 Special Cases 51 To change settings in your assignment 1 In the Review amp Finish tab click the highlighted link in the category to be changed 2 A prompt appears asking whether to return to the tab where the option is set Click OK The appropriate Assignment Editor tab opens 3 Make changes and return to the Review amp Finish tab Finishing an Assignment To accept and publish the assignment you have created or modified Click Finish in the Review amp Finish tab You are returned to the Assignment Editor list of assignments for your class where your new assignment is displayed in
35. the question text itself the comments the hints or the solution To include a static image in a Maple T A question there are two steps Step 1 Upload the image to the class web site 1 Log in as an instructor and click on the class in which you want to use the image 2 Click on Content Manager then Web Site Editor 3 Create a subfolder where you can place the image It is possible to upload your image at this point but for maintainability it is recommended that you create a subfolder and place your images in it 68 a Click new subfolder b Enter a name for your subfolder in the text region and click OK You are returned to the Web Site Editor page with your subfolder expanded 4 Click upload file s to this point 5 Click Browse to locate the file on your computer 6 Select the radio button beside Single File Save As to use the same name that the image has on your computer or enter a name for the file in the text region The name must be alphanumeric and can contain _ or a single period It cannot start or end with a period and it cannot contain a space 7 Click OK If you click on the image in the class Web Site Editor you will be shown the URL for that image You can click on that link to see the image Step 2 Include an html reference to the image in your question or solution 1 Create or edit a question in the Question Editor 2 In the field where you want to include the ima
36. to the Maple T A Help System for detailed information about Maple T A s algorithmic capabilities Below we describe the LaTeX macros for algorithmic questions Defining the Algorithm Use the code macro to define the algorithmic variables used in the question Separate each variable with a semi colon exactly as if you were defining the variables in the Question Editor 10 2 Working with Algorithmic Variables 121 Referencing Algorithmic Variables To include a defined variable in the question text hint or answer region use the var macro var can also be used to create an inline variable expression a computed expression within a variable reference constructed from nested var macros Use inline variable expressions when one variable is derived from another for example a and 2a or a b and a2 b2 In this case there is no need to make a separate variable definition for each algorithmically generated quantity Inline variable expressions allow for a minimum of variables Not only does this benefit the author but it reduces the load on the servers when students are taking assignments Table 20 Example of Question in LaTeX Sample algorithmic question in LaTeX begin question Formula qutext Find the solution of the linear equation var a x var b var c answer var c var b var a code a rint 12 2 b rint 12 1 c rint 12 1 end question Additional notes
37. would normally Note You can include algorithmic variables in your math expressions If the variable name is alphabetic only you can enter var in the Math Editor and it will maintain the variable name as one unit If the variable name is alphanumeric you 6 4 Including Images in Questions 67 will have to use an alphabetic name in the editor and then replace it with the correct variable name in the question text area Using Maple s MathML ExportPresentation Function Maple s MathML ExportPresentation function can take any expression in Maple and convert it to presentation MathML for display purposes To use Maple s MathML ExportPresentation command 1 Create an algorithmic variable for the expression that you want to use 2 Create a second algorithmic variable for the MathML version of that expression using Maple s MathML ExportPresentation This variable will be used for presentation purposes only For example suppose we define an algorithmic variable z as follows z maple MathML ExportPresentation x 2 3 x 2 Then z will be rendered as x 3x 2 wherever it is referenced in the question statement comment and hints 6 4 Including Images in Questions You can include a number of different types of images in your questions static images Maple plots or animations and images with algorithmic variables overlaid Static Images You can include static images in all question types They can be included in
38. 3 choiceO red and blue choicel red and yellow choice2 blue and yellow mix switch index choiceO choice1 choice2 color switch index purple orange green 5 Click Save You return to the New Question window 6 Click Next The Question Editor gt Add Question window opens 7 In the Text of the question field enter the following When you mix mix you get color 8 Position the cursor after the word get but before the period and click the Insert Edit Response Area button 9 Choose List question for the question type 10 Leave the radio button beside Text field selected Add color as the first item and set the Weight to 1 0 11 Click OK to return to the Question Editor gt Add Question window 7 4 Randomization Routines in Maple 81 12 Click Finish The Question Editor gt Preview Question window opens displaying the question as it appears to the student Figure 7 C The Algorithmic Editor shows both the algorithmic commands and a sample value for the variables ndex purple orange green Variable Value 7 4 Randomization Routines in Maple In addition to Maple T A s built in functions you can access Maple routines as well from within Maple T A In particular Maple has many randomization routines that can be used in Maple T A This section discusses a subset of the available functions The function rand will generate a random integer while randpoly will generate a random
39. 5 comment 3 Partially correct Stephen Hawking helped extend Einstein s Theory of Relativity answer 4 Hawking credit 4 0 25 comment 4 Partially correct Stephen Hawking helped extend Einstein s Theory of Relativity but you should use his full name mode List name partial credit editing useHTML Key Word Questions A key word question looks in the student response for the specific words that you have listed If they appear anywhere in the response the student will receive credit This question type can only be created in plain text or LaTeX files mode key words question lt p class noindent gt Which two scientists independently discovered inductance lt p gt answer Michael Faraday and Joseph Henry 134 A assignment editor overview 37 assignment statistics overview 58 assignment tab choose name 39 select questions 39 set policies 40 assignments create new 39 introduction 1 locked 38 mastery 44 naming 39 study session 44 types 42 C changing grades 56 class create new 4 registration form 4 Class Homepage 3 instructor use of 3 links 3 menu items 3 E edit student information 59 G generating reports 54 gradebook add comments 57 add external assignment 59 edit student information 59 generating reports 54 introduction 1 overview 53 grouped questions 40 H headers advanced button 39 individual questions 40 instructor logging on 2 instructors introduction 1 item
40. 6 kg and the right hand ball has mass 273 kg The center of mass of the left ball is 25 meters above the ground Move the right hand ball to the height that gives it the same potential energy as the ball on the left Initially the red ball is at the bottom When the student moves the red ball to just the right height the student s response is graded as correct There are three steps involved in creating an Applet question Steps 1 and 2 require some familiarity with Java programming 1 Create and deploy the Java applet 2 Create and deploy a Java class grading 3 Author the question Step 1 Create and Deploy a Java Applet For this step you will need some familiarity with Java programming The applet is required to do three things 1 Provide a getResponse method which can be queried to find the current student response 2 Call method getParameter response to read the response parameter for a string containing any previous attempt at a response to this question and initialize the applet to display that state 3 Call method getParameter locked to read the locked parameter and disable user modifications if the flag is set You may also make additional getParameter paramName values to read any additional parameters for initialization These are passed from the param fields in the question see Step 3 9 4 Applet Question Type 113 After creating the applet place it in the applets folder or an appropriate
41. 88 8 Maple graded Questions Maple T A offers numerous question types to ensure you can present and properly grade your question The Maple graded question type connects to the Maple engine when grading students responses This will give credit for any response that is mathematically equivalent to the correct answer For example if your Maple graded question is sec x the system would accept tan x sin x cos x cos2 x asked for a set the system would accept any response that contained the correct elements regardless of the order in which the student gave them You can write questions that ask for differential equations unevaluated integrals and so on You can write questions that have more than one answer or infinitely many answers sec x tan x or anything equivalent as correct If your question This document will guide you through the creation of some example Maple graded questions The examples reflect only a small sampling of the possibilities 8 1 A Basic Maple graded Question In this first example we build a question that asks for the derivative of sec x and uses Maple to grade the response 1 Log in as an instructor and go to the Question Editor 2 Click Questions then New Question to start a new question 3 From the Question Type menu select Maple graded 89 4 In the Question Description text region enter the description Derivative of Secant as shown in Figure 8 A Figure 8 A Cr
42. A Content Center 126 11 Plain text Question Files There are several ways to create questions for use in Maple T A 1 Use the Question Editor as shown in the previous sections 2 Create a plain text file and upload it into the Question Repository 3 Create a LaTeX file convert it and then upload it into the Question Repository We explore the second option in this chapter Consider for example the following Formula type question in Maple T A Figure 11 A Formula Question Question Name Derivative Find the derivative of sin x SS This question accepts numbers or formulas Help Change Entry Style Preview Here is what the underlying plain text source for this question looks like mode Formula name Derivative comment lt p gt The derivative of sin x is cos x lt p gt question lt p gt Find the derivative of sin x lt p gt answer cos x 127 128 gt 11 1 Question Tags The following tables show the various tags that are used to create questions in the different formats The question elements in the first table are common across all question types Table 25 Common Question Elements Question Editor Plain Text qu file LaTeX Question Type mode begin question type Question Description name name Feedback comment comment Algorithm algorithm code a a var Information Fields info property name value Hints hint i hint Solution
43. A MapleT A User Guide Maplesoft a division of Waterloo Maple Inc 2009 No part of this book may be reproduced stored in a retrieval system or transcribed in any form or by any means electronic mechanical photocopying recording or otherwise Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor The software described in this document is furnished under a license agreement and may be used or copied only in accordance with the agreement It is against the law to copy the software on any medium except as specifically allowed in the agreement Copyrights Copyright Maplesoft a division of Waterloo Maple Inc 2009 Trademarks Maple Maple T A Maplesoft and Waterloo Maple are all trademarks of Waterloo Maple Inc Tomcat is a trademark of The Apache Software Foundation Firefox is a registered trademark of the Mozilla Foundation Red Hat is a registered trademark of Red Hat Inc Ubuntu is a registered trademark of Canonical Ltd SUSE is a registered trademark of Novell Inc Linux is a registered trademark of Linus Torvalds Microsoft Internet Explorer Windows and Windows Vista are registered trademarks of Microsoft Corporation Macintosh Mac OS and Safari are trademarks or registered trademarks of Apple Computer Inc Java all Java based marks Sun and Solaris are trademarks or registered trademarks of Sun Microsystems Inc in the Un
44. AF Maple T A Demonstration Class Question o SSS Maplesoft Repository System Homepage Class Homepage gt Question Repository New Question Welcome Maple TA Administrator My Profle Questions Content Manager System Admin Help Logout ET Finish Text ofthe question i E sorce A Bix OS B ABs vu wml SS c oe ES SS Ale Bei Fon gt Size X JOB OH lzre What is 17 99 Edit _ Feedback Aponte ra soman Done 4 Once you have completed the question click Finish 5 Choose the groups if any that you wish the question to belong to and click Submit 3 3 Example Questions 21 6 A preview of the question is displayed Provide an answer and click Grade to see how the question is graded Click Edit to continue refining the question as necessary Maple T A provides the following question types Mathematical amp Scientific Free Response Question Types 14 varieties including formula numeric and questions that use the Maplesoft Maple mathematical software to grade and plot student responses Multiple choice permuting and non permuting Multiple selection permuting and non permuting True or False Ungraded Essay Fill in the blank including text region or drop down menu Question Designer Key Word or Phrase List Clickable Image Short Phrase Matching Multipart Questions consisting of parts that
45. Generate set function to generate two unique sets and ask the student to determine the intersection This question is written as a Maple graded question because we want the student to enter a set as the answer 86 gt To create the question 1 Click Questions then New Question to create a new question The New Question window opens From the Question Type drop down menu select Maple graded In the Question Description field enter Intersection of sets In the Algorithm section click Add The Edit Algorithm window opens Enter the following code in the text box ao ek wo N setl maple randomize RandomTools Generate set pos int range 8 5 set2 maple randomize RandomTools Generate set pos int range 10 4 6 Click Save You return to the New Question window 7 Click Next The Question Editor gt Add Question window opens 8 In the Text of the question field enter the following What is the intersection of set1 and set2 Enclose your answer in braces 9 Enter Maple code that evaluates to the correct answer set1 intersect set2 10 Change the Maple code to grade the student response to is RESPONSE ANSWER 11 In the Select the type of expression you want to accept drop down list choose Maple syntax e g diff 2 f x x 12 Click Finish Matrix Determinant In this example we use Maple s LinearAlgebra RandomMatrix function to create a square matrix with entries be
46. Match This example tests students knowledge of the sum product identities in trigonometry We want to check that a response is not only mathematically equivalent to the correct answer but also has the right form and for that we will use Maple s patmatch function 1 In the New Question window add a new Maple graded question 2 Proceed to the Maple graded Question and Answer screen and enter the question Express sin x sin y as a product of the form c sin f cos g where f and g are expressions in x and y and c is a constant 3 Enter the Maple answer code 2 sin x y 2 cos x y 2 4 Enter the Maple grading code if is SRESPONSE ANSWER then patmatch RESPONSE a realcons sin f anything cos g anything else false end if 5 Ensure Formula e g x 2 sin x 2 is selected This problem will mark the expression 2 sin x y 2 cos x y 2 correct and the expression sin x sin y incorrect 104 8 10 Troubleshooting Maple graded questions Table 17 Troubleshooting Problem Solution Maple T A keeps grading correct responses as incorrect e Test your Maple code in a Maple worksheet on several forms of the correct response Ifyou used commands from a Maple package make sure you included the package name with the commands For example instead of evalb Norm lt a b gt 2 1 you should use evalb LinearAlgebra Norm lt a b gt 2 1 Check that all
47. Policies 49 In the Assignment Editor main menu click the show option available on mouse rollover of the assignment name Note that if the assignment is already visible for students the rollover menu will include hide instead of show Figure 4 F Setting Visibility of Assignments Assignment Nane Points Type Availabilty Modified Active YO eh copy deine gee prit semmary T eR 2 ted Advanced Policies Setting Assignment Requirements Limiting Student Access to Assignments You can restrict access to an assignment so that only students meeting certain criteria can take the assignment You can also create assignment requirements that refer to the current assignment even if you are working with a new assignment that has not yet been saved The assignment on which you are working is now listed along with all other available assignments in the Criterion specification box This is useful when you want to ensure minimum competencies in prerequisite topics For example you can limit access to students who have already passed an earlier assignment To restrict assignment access 1 From the Assignment Editor screen in the Set Policies tab click Advanced The Set Policies Advanced screen with a Requirements field is displayed 2 To set criteria click Design A Criterion 1 rule based field opens The program adds input fields for the first criterion as shown Figure 4 G Restricting Student Access has passed Assign
48. abs evalf RESPONSE ANSWER ANSWER lt 05 6 Ensure Formula e g x 2 sin x 2 is selected This problem will mark correct either the exact symbolic expression 27r or any numeric response that is within 5 of 27 r evaluated to four significant digits Notice that the radius r of the circle is randomly generated 8 6 Questions with Vectors and Matrices This example looks to determine the direction from a randomly generated point that the function xy is increasing fastest This question uses the VectorCalculus and LinearAlgebra packages to grade the response 1 In the New Question window add a new Maple graded question 2 Open the Algorithm screen and enter p1 range 3 3 p2 range 4 4 3 Proceed to the Maple graded Question and Answer screen 4 Enter the question In what direction from the point lt p1 p2 gt is the function f x y xy increasing the fastest Express your answer as a vector in the form lt a b gt Note Be sure to include a space between lt and a Otherwise Maple T A treats this as the beginning of an HTML tag and this will not be displayed correctly 8 7 Allowing for Partial Grading 101 5 Enter the Maple grading code gradientField VectorCalculus VectorField lt 2 x y 2 2 y x 2 gt cartesian x y gradient Value VectorCalculus evalVF gradientField lt p1 p2 gt LinearAlgebra Equal RESPONSE 6 Ensure Maple syntax e g diff 2 f x
49. ach assignment click the link to a particular assignment in the student results table From this view you can see summary statistics for each question on an assignment Figure 5 A Gradebook MaplelA Math 137 Gradebook a Maplesort System Homepage Class Homepage Gradebook Welcome Adam Brodie My Profile Actions Content Manager Gradebook Help Logout v Search Panel Assignment Name Assignment Type Show Results Completed4n Progress Date Range Assignment 1 Homework Quiz Proctored Best Completed Date from Homework Quiz Oaverage Oin Progress Maste Date to EEM O most recent OTo Be Reviewed Select All None Oal v View Panel Assignment Student Grade Style View Results For List Summary Data Startdate MiLastName Numeric Mstudents AIl users Weightings Starttime WI First Name O Percentage Proctors O only users with grades attempts End date MI O Letter Instructors Average attempts End time Login Total points attempts Email Average score Duration Student ID Sumit Item statistics Students Instructors Proctors No assignments selected Please refine your search Generating Reports You can change assignment weighting grades or add comments from within a generated report of an assignment or test To generate a report in
50. age by providing the URL Registration Locked Open registration allows students in the system to enroll themselves in your class The default setting is locked and students will not be able to enroll themselves into your class unless you unlock registration by clearing the check box Featured Class Marking the class as a Featured Class allows the creation of child classes based on this class This allows you to share assignments quizzes tests and other resources with other classes by adding an entry to the Inherited Content From drop down menu Inherit Content From You can inherit content from a parent class This gives you access to already created assignments quizzes tests and other resources 1 5 Adding Users tothe System 5 5 Click Submit A summary of the class details is displayed Creating a copy of a class 1 From the Class Homepage of the class you want to share select the Actions menu and then select Add Child Class 2 By default you are listed as the instructor for the new class Click the Change Instructor link to select a different instructor 3 Enter details of the instructor you are searching for and click Search Alternatively you can search for the instructor in the list of registered users 4 Select the instructor and click Update The name of the instructor should be displayed 5 Complete the Class Registration form and click Submit 1 5 Adding Users to the System System administra
51. ails are displayed original and current total points date last modified class average number of attempts average number of attempts and number of active assignments Details about the assignment setup are displayed as well A histogram of the assignment statistics is provided The student report table now displays the students performance on each question in the assignment Click on a question ii i the table to display the details of the question Figure 5 E Assignment Statistics Details for assignment Algebra v Algebra Original Total Points 32 0 Current Total Points 32 0 Last Modified 8 3 07 4 26 PM Class Average 12 Attempts 1 Average Attempts 1 0 Active Assignments 0 Histogram of Student Assignment Scores Assignment Type Homework or quiz Pass Fail Not passifail Display Show 1 question s per page Time Permitted Time limit is 45 minutes Start No start time specified End No end time specified Restrictions Astudent may take this assignment if he she has not made one or more attempts at Algebra Form 4Fy Feedbacic Never show correct answers Never show comments Do not show the final grade of the assignment Students Instructors Proctors Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 i 1 1 1 1 1 i 1 A 1 0 Yan an S ds aaa 4 4 amp 4 ia Tot th me at ao Jarger Rob nt 1 1 1 a 1 1
52. anced button Add assignment level page headers and text for the results page in the appropriate fields 3 Proceed to the instructions in Selecting Questions 4 4 Selecting Questions The Select Questions tab of the Assignment Editor allows you to select questions individually or as a group from the question repository assign question weighting scramble the sequence of delivery and merge individual questions to form specific question groups To select questions from the repository 1 In the Assignment Editor click the Select Questions tab 40 2 From the Question Group list select a source question bank 3 If required expand the topic lists and select the questions you want from the list on the left using the check boxes Click the Add button after selecting a question or complete the selection process and click the Add As Items button In either case individual questions are added to your assignment 4 Optional To add a selection of items as a group select questions using the check boxes Click Add As Group to include them as a pool of questions within your assignment 5 Optional Change the default question weighting one point per question to match your requirements Select Scramble questions to randomly order the questions when assignments are created e Reorder questions within your assignment by using the drop down lists Merge individual selected questions to form new question groups in your assignme
53. arch for questions This replaces the use of Question Banks and Topics used in Maple T A prior to version 5 0 There are three methods for authoring question banks in the system 1 Question Editor 2 Maple T A qu plain text script files 3 LaTeX files that can produce math intensive questions formatted to Maple T A specifications This document discusses using the Question Editor For information on authoring questions banks using the other two methods refer to the Maple T A help system 3 2 Question Editor To create a question using the Question Editor 1 Click the Question Repository link from the menu bar 2 Click Questions then New Question 19 20 Figure 3 A Question Editor New Question MapleTA Maple T A Demonstration Class Question Editor v Maplesoft System Homepage Class Homepage Question Repository New Question Welcome Maple T A Administrator My Profile Questions Content Manager System Admin Help Logout Cancel Edit source Next The Question Type Question Designer x The Question Description 4 Feedback Add There is no feedback Algorithm Add There is no algorithm Information Fields Mi There are no info fields set Hints Add There are no hints set Solution Add There is no solution set 3 Enter the content of your question Examples are provided in the Example Questions on page 21 Figure 3 B Entering a Question MapleT
54. are of any question type can be nested Palette Questions using a programmable palette of symbols for the entry of student responses Questions with applet interaction Questions using web references objects including plots 3 3 Example Questions This document discusses three question types Question Designer Maple graded and List You are guided through the process of designing a simple multiple choice question using the Question Designer followed by editing the previous question to incorporate randomly determined parameters You will also learn how to insert 2 D math into your question Creating a Maple graded question inserting plots into the Maple graded question and a creating List question will also be discussed 22 gt The Question Designer The Question Designer provides a flexible format for creating free response questions that can include multiple response cells These questions are similar to multipart questions in that they provide a shell structure in which to embed other questions The Question Designer is an authoring environment as familiar as your word processor Using the Question Designer you enter question text and the correct answers wherever they should appear Many formatting options such as bold italics and fonts are available through the text editor icons You can also insert images tables or links to other file resources When you are satisfied with the appearance of the question you defi
55. atrix Generates a random m x n matrix using the options specified m n density generator LinearAlgebra RandomVector o Generates a random vector using the options specified o dimension density generator can be used to specify a row vector instead of a column vector which is the default Some examples M maple randomize LinearAlgebra RandomMatrix 8 3 returns a random 3x3 matrix V maple randomize LinearAlgebra RandomVector row 6 generator rand 1 5 10 returns a row vector of 6 elements whose entries are rational numbers with a denominator of 10 and a numerator between 1 and 5 The elements are returned in simplified form RandomTools Functions There are many functions in the RandomTools package including subpackages that implement different pseudo random number generators There are several RandomTools Generate functions that can be used to create random objects a selection of which are included in the table below Each of the functions in the table below should follow RandomTools Generate as in RandomTools Generate choose a b c d e f Table 16 RandomTools Functions Function Return Value choose collection Select one of the entries in a non empty collection with equal probability complex flav A random complex number with real and imaginary parts described by the given random flavor flav exprseq flav n An expression sequence with n entries where each entry is
56. ble and review the results of assignments they have completed Once you log in to the Maple T A system you can access your Maple T A class or classes This is where all system interactions occur for instructors proctors and students A class contains questions assignments resource files and the class gradebook Assignments Maple T A has a variety of assignment types including Self study practice e Mastery Homework and quizzes e Proctored exams requiring student validation When an assignment is created you specify the questions to be used as well as assignment access and feedback parameters After determining the content questions rules and policies you publish an assignment to the class web site for use by students Students can review the results of any previously completed assignments Gradebook After students complete an assignment you can view the results in a Gradebook or create downloadable performance reports With Maple T A you can generate comprehensive performance reports for individual students and assignments classes or multiple assignments You can also perform statistical item analysis of questions 1 2 Logging On Log in to the system using the username and password your system administrator has provided The main system page is called the System Homepage The System Homepage provides access to the classes you are teaching and those in which you are a student or proctor If the s
57. ccepts a string and treating it as calculator style syntax transforms it into MathML For example suppose we define an algorithmic variable y as follows y mathml x n 66 Then y will be rendered as x wherever it is referenced in the question statement comment and hints This function is designed for small expressions and is limited in scope For full MathML functionality it is recommended that you use either the Equation Editor or Maple s MathML ExportPresentation function Using the Math Editor Maple T A provides a graphical equation editor for use with all question types except fill in the blank This editor is the same editor that is included with Maple and is used to translate the graphical form of your expression to MathML code To use the equation editor 1 Add a question 2 Click Next 3 Enter the text of your question When you get to the place where you would like to add a formatted expression click the Sigma button This brings you to the Equation Editor screen Figure 6 A The Equation Editor applet is used to create a nicely formatted expression Equation Editor Equation Editor MathML d re sec x 4 Create your expression Use keyboard shortcuts or right click in the region to get a palette from which you can choose 5 When you are finished creating your expression click OK The expression appears in the question text window 6 Finish creating your question as you
58. components in the Maple T A system However this guide can be used as a quick reference or as a launching point for the Help system vii viii 1 Getting Started 1 1 System Overview Maple T A uses questions found in the Question Repository as the basis for constructing assignments The Question Repository is the location of all questions for class homework test items or other class problem material Four types of users interact with Maple T A System administrators manage classes and users Instructors create questions and assignments e Proctors validate student identity and grant assignment access Students complete assignments created by instructors System administrators can create modify and delete classes They can also create modify and delete users individually or by uploading a roster Instructors control the rules and policies for assignments which can range from self study and homework sessions to proctored exams Once satisfied with the questions and rules in the assignment it can be published for use by students Instructors control availability and due dates and set grading parameters Grades are automatically recorded in the system Gradebook and if necessary these grades can be changed Proctors can log in to validate a student s identity prior to administering a proctored exam Students logged in to the system are allowed to register in your class take assignments as you make them availa
59. coord Sketched function must pass through the point xcoord ycoord increasing Sketched function must be increasing decreasing Sketched function must be decreasing concave_up Sketched function must be concave up concave_down Sketched function must be concave down linear Sketched function must be linear In addition you can perform many other checks for example evaluating the slope of the student s response at a given x value For a complete list along with detailed examples visit the Graph Sketching Question in LaTeX page in the Maple T A Help System 10 4 Graph Sketching Questions 125 Table 24 Example of Sketching Question in LaTeX Sample graph sketching question in LaTeX begin question sketch qutext Sketch the graph of the function y x 1 begin sketch 4 2 2 2 2 example 2 1 1 2 check linear check goes_ through 0 1 end sketch end question Additional notes begin sketch gridlines xMin xMax yMin yMax example point list check criterion check criterion check criterion end sketch Question displayed in Maple T A Sketch the graph of the function y x 1 Delete Selected Clear This section described how to author a graph sketching question in LaTeX To see examples of other question types please consult the Creating Maple T A Questions Using LaTeX article which can be downloaded from the Maple T
60. creen by selecting Edit beside each field For all other question types the New Question window is the only place to add these fields The following example provides instruction for creating a multiple choice question using the question designer to determine a square root Multiple Choice Question Incorporating 2 D Math 1 Select Questions then New Question 2 Select the Question Designer question type from the Question Type menu 3 Enter Multiple choice with 2 D Math as a description in the Question Description field 28 4 Click Next The Question Designer window displays 5 In the Text of the question field enter the following What is 6 Click the Sigma button to insert 2 D math The Equation Editor opens 7 Right click in the Equation Editor field From the displayed palettes select a square root symbol The symbol is displayed in the Equation Editor Figure 3 H Equation Editor Equation Editor x Equation Editor Equation Editor MathML 8 Replace the a in the square root with 144 and click OK The square root of 144 is now displayed in the text region in the Question Designer 9 After adding a question mark to complete the question click the Insert Edit Response Area icon 10 Select Multiple choice in the left pane 11 Select Permuting in the Permute Choices row 12 Enter 12 14 72 13 and 15 as possible answers one for each field 18 Click OK 14 Cl
61. described by the given random flavor flav float opts A random floating point number in a particular range The options can include a range e g range 2 532 7 723 and the number of digits e g digits 4 identical expr Describes the object expr itself 84 gt Table 16 RandomTools Functions Function Return Value integer opts negint opts nonnegint opts nonposint opts nonzeroint opts posint opts A random integer in a particular range The options can include a range e g range 0 10 and a statistical distribution from where the integer is chosen e g distribution poisson 5 list flav n A list with n entries where each entry is described by the given random flavor flav listlist flav m n A list of m lists each with n entries where each entry is described by the given random flavor flav In the case where only m is given n is assumed equal to m rational opts negative opts nonnegative opts nonpositive opts nonzero opts positive opts A random rational number in a particular range The options can include a range a statistical distribution from where the rational number is chosen or a denominator polynom coeffs x opts A random polynomial in a given number of variables x with coefficients coeffs of a given random flavor The default degree of the polynomial is 5 but you can specify the degree of the polynomial by using the degree option e g
62. e Flash movies in your Maple T A questions similar to the way you would add an image to the question First you would upload the Flash movie to a folder on your class web site see Including Images in Questions in section 6 4 for details Next you would include a reference to the Flash movie in your question as follows 1 Create or edit a question in the Question Editor 2 In the field where you want to include the image question text feedback hints or solution click the Insert Edit Flash button 3 Under the Flash Info tab click Browse Server and select the movie you had uploaded You will be shown a preview of the movie 4 Click OK and the movie will be added Note The Browse Server screen also allows you to upload a Flash movie to the server in case you had not previously uploaded the movie using the Web Site Editor 105 106 9 2 Java Applets in Maple T A Questions Maple T A has a couple of built in applets that you can use to dynamically label a static image or create a graph of a specific function Dynamic Labels on an Image Maple T A includes a labeling applet that allows you to include an image and then place labels on it This provides the ability to use the same underlying image for your questions but position algorithmic variables on the image to generate variations To dynamically label an image 1 Upload an image to a folder on your class web site and take note of its exact location se
63. e Maple syntax e g diff 2 f x x is selected Recall that in general the Maple grading code must always evaluate to either a boolean true or false or a decimal number between 0 and 1 We set the type of expression to accept expressions as Maple syntax instead of Formulas because the Formulas option will not parse a sequence of values 8 8 Performing a String Match This example looks to find the set theoretic difference between two sets We will need to set the type of expressions to accept as Maple syntax instead of formulas because the Formulas option does not parse set notation However we need to be careful not to accept a response that calls Maple s minus operator for sets That we can achieve by searching the response string for the word minus 1 In the New Question window add a new Maple graded question 2 Open the Algorithm screen and enter plot plotmaple plot x 3 x x 2 2 y 2 2 plotoptions width 200 height 200 3 Proceed to the Maple graded Question and Answer screen 4 Enter the question Find the set theoretic difference a b c d e minus c a Enclose your response in braces 5 Enter the Maple answer code 8 9 Performing a Pattern Match 103 a b c d e minus c a 6 Enter the Maple grading code evalb RESPONSE ANSWER and evalb StringTools Search minus RESPONSE 0 7 Ensure Maple syntax e g diff 2 f x x is selected 8 9 Performing a Pattern
64. e familiar with Maple T A s syntax for designing random variables you can simply type the randomization code into the text region and skip the Show Designer step a Here we will define three random coordinates for the third point In this example we call the coordinates a b and c Enter the name of the variable in the first text box a b Select the data type from the adjacent menu whole number c Enter the lower and upper bounds of the variable in the next two text boxes 2 and 5 respectively d Ignore the final text box since we want the increments of this vari able to be in steps of one the default e Click OK and the random variable is added to the text region below the variable regions as shown in Figure 8 D f Repeat these steps for b and c When referring to the random variables use the names a b and c Figure 8 D Defining algorithmic variables using the algorithm designer idom whole number v betweer equals v a Optional Upload Maple rep Y an unload and link iia f Maple Repos tory LIB Location out Ensure the variables always satisfy the dit equals v Notes 94 You can also create random Maple variables Enter these variables in the third row of the Algorithm Designer or directly in the algorithm text region as lt var name gt maple lt maple command gt We recommend wrapping random variables inside parentheses when referring to them inside a Maple statemen
65. e section 6 4 for details Create or edit a question in the Question Editor In the field where you want to include the image question text feedback or solution click the Source button to view the html source Paste the following applet code into the source html where you want the labeled image to appear lt div align center gt lt applet code applets labellmage Labellmage width 316 height 258 gt lt param name image value classes classname imagename gt lt param name size value numberoflabels gt lt param name label 1 x value x position of first label gt lt param name label 1 y value y position of first label gt lt param name label 1 text value text for first label gt lt param name label 2 x value x position of second label gt lt param name label 2 y value y position of second label gt lt param name label 2 text value text for second label gt lt applet gt lt div gt Modify the applet code to reflect the actual image and values you want to include In particular The value of image parameter should be set to the path to the image you uploaded in step 1 The value of size parameter is the number of labels to be added to the image For each label specify the x and y pixel coordinates as well as the text that should appear Note that the text can be a variable from your question s algorithm thereby creating a dynamic label 9 2 Java Applets in Maple
66. e that passes through lt 1 0 0 gt lt 0 1 0 gt and lt a b c gt Write your answer in the form Ax By Cz D 0 using lower case x y and 2 Enter Maple code that evaluates to the correct answer The last line must evaluate to an expression that will be stored as the variable ANSWER The variable ANSWER will be available when formulating the grading syntax e g evalb ANSWER RESPONSE 0 n LinearAlgebra CrossProduct lt a b c gt lt 1 0 0 gt lt 0 1 0 gt lt 1 0 0 gt nl x 1 n 2 y n 3 z 0 Enter Maple code to grade the student response The last line must evaluate to a Boolean value true or false or a foating point value between 0 and 1 The variable RESPONSE is automatically initialized to the student s response levalb lhs RESPONSE Lhs ANSVER or lhs RESPONSE 1 Lhs ANSWER Select the type of expression you want to accept Maple syntax e g dintz y 11 Click Finish to preview the question as shown in Figure 8 F Figure 8 F The question as it would appear to the student Notice that the third point has been randomly generated by Maple T A Grade Edit Topics in this i Question Bank Question Name Equation of a plane Find the equation of the plane that passes through lt 1 0 0 gt lt 0 1 0 gt and lt 2 1 1 gt Write your answer in the form Ax By Cz D 0 using lower case x y and 2 This question accepts formulas in Maple syntax Plot
67. eating a Maple graded question Cancel Editsource Next Topics in this Question Bank The Question Type V Maple Questions Maple graded v The Question Text Format Use HTML formatting for the question text 0 Feedback Add There is no feedback Algorithm Add There is no algorithm Information Fiels Add There are no info fields set Hints Add 5 Click Next to proceed to the Maple graded Question and Answer screen This screen displays regions to enter the question text the Maple code for calculating the correct answer the Maple code for grading the student response and more 6 In the first text region enter the question text as shown in Figure 8 B Compute the derivative of sec x 7 In the second text region enter the Maple code that will compute the correct answer The system stores this result in the variable ANSWER which can then be used in the grading routine diff sec x x 3 8 The third text area includes Maple code to grade the student response The last line of your Maple code must evaluate to true for a correct response false for an incorrect response or a floating point value between 0 and 1 for partial credit available as of Maple T A 2 5 Maple s evalb command is frequently the best way to do this but any Maple command that returns a boolean is allowed This region already contains the code evalb SANSWER SRESPONSE 0 For this example alter the line of code to evalb
68. ecant es Add 2 questiona B cotete the tonic Re Aenawe the topic O BD 1 Derivative of Secant Compute the derivative of sec This question accepts numbers or formulas Help Change Math Entry Mode Preview 2 Click Grade to check that Maple is correctly assessing the response 3 Click OK and you will return to the Preview screen Try a variety of student responses to convince yourself that the Maple code for grading the question is adequate 4 If the question or the Maple code needs revision click Edit 8 2 A Randomized Question To provide multiple problems of the same form or to hinder cheating during exams you can include random parameters such as random problem data or coefficients into math questions In this example we build a question that asks for the equation of a 3 D plane that passes through the points lt 1 0 0 gt lt 0 1 0 gt and a third point picked at random This example will also show how to use multiple lines of Maple code to grade a more complicated question 8 2 A Randomized Question 93 1 Click Questions and then New Question Select Maple graded as the question type 2 Enter the description Equation of a plane 3 Click Add next to the Algorithm heading This will take you to an Algorithm screen in which you define the random variables 4 Click Show Designer This will take you to a point and click interface for designing random variables Note Once you becom
69. eed to host the Flash movie in a Maple T A question using our Flash question type To do this you need to create a source question bank file Note that Flash questions must be authored outside of the question editor Here is what the question source for Cartesian coordinates question looks like Note that the value of the movie field should be set to the actual path to the Flash movie you would have uploaded to your class web site question Move the red disk to the point x y answer x y movie lt path to your swf file gt width 400 height 400 bgcolor 4 FFFFFF mode Flash name Graph Coordinates editing useHTML algorithm x range 1 8 y range 1 8 For full details and to see the Flash source code for the Cartesian coordinates example please download the Creating Flash Questions for Maple T A zip file from the Maple T A Content Center on our web site 9 4 Applet Question Type With Maple T A s Applet question type you can create a Java applet and integrate it into a Maple T A question which grades students directly on their interaction with the applet Students use the mouse and or keyboard to alter the applet or identify hot spots in the applet in order to produce the correct 112 answer For example the question in Figure 9 D asks students to move the red ball to a height that gives the desired potential energy Figure 9 D An Applet question in Maple T A The left hand ball has mass of 65
70. egister for your class using the Find classes open for registration link on the System Homepage The student selects the class he or she wants to enroll in and clicks Register The student then clicks Confirm and must complete the form on the Student Registration screen You can lock access to this form of registration from your class homepage From the Actions menu select Class Info click Edit and select the Registration Locked check box Class Rosters Creating a Class Roster A class roster has the same format as a user roster See User Rosters on page 5 Uploading a Class Roster You can upload a class roster from your Class Homepage This will register users in the system as students in your course If you have create privileges and the user is not already in the system a new account will be created 1 From the Class Homepage click Actions and select User Manager From the Actions menu select Roster and then Import 2 To locate your class roster click Browse Navigate to the file and click Open 3 From the drop down menu select the type of file being submitted as either Comma separated or Tab separated 4 Click Submit A table is displayed that includes all columns and information in the file 5 Click Enroll Roster A roster upload summary is displayed As discussed in the User Rosters section system administrators and instructors with create privileges can also import users from the System Homepage This
71. el 5 y value 250 gt 108 lt param name label 5 text value c gt lt applet gt lt div gt In this example an image file sup_dem_graph gif from the class web site is added to the question and dynamically labeled with values a b and c along the horizontal axis and A and B along the vertical axis The variables themselves are defined in the question s algorithm x rand 100 900 2 y sig 2 5 rint 19 1 a int x b int 2 x c int 3 x A int 3 y B int 5 y Interactive Plots The graph plotting applet is an interactive plot that is added to a question type for dynamic plotting The applet displays axes for the graph even when the axes lie outside of the viewable area You can shift click and drag the graph area to shift the viewable area or you can ctrl click and drag to rescale the image To add a graphing applet to your question 1 Create or edit a question in the Question Editor 2 In the field where you want to include the image question text feedback or solution click the Source button to view the html source 3 Paste the following applet code into the source html where you want the graph to appear lt div align center gt lt applet code applets grapher Graph archive graphing jar width 250 height 250 gt lt param name y1 value an expression in x gt lt param name xMin value position of smallest x coordinate gt lt param name xMax value posi
72. elete the assignment a copy is made Also results continue to be available through individual student records Shared Assignments Saving Your Changes Inheritance has changed slightly so that now you only inherit the content groupings of questions and their weightings When you edit an inherited assignment only the options in the policy tab can be changed Assignments can still be copied to make a local assignment that can then be fully edited 5 Gradebook 5 1 Overview Maple T A automatically stores assignment session scores in the Gradebook The Gradebook stores information for each student such as the assignment start time the time spent on the assignment and the individual assignment question performance The Gradebook allows you to View analyze and report scores and statistics for students assignments and question items e Review and edit student results Create reports organized by student assignment or by question Export grades to comma delimited Microsoft Excel or XML files To access the Gradebook From the Class Homepage click Gradebook and select Open 5 2 Gradebook Views The Gradebook provides three views of assignment data by student by assignment and by assignment item or question To view the grades for an assignment select an assignment in the search panel and select Submit The results are displayed below the Search and View panels 53 54 To view summary statistics for e
73. ent Properties Passing score out of 32 0 Edit feedback messages Ifyou have set a passing score the defined feedback will be displayed to the student Time limit 40 minutes Questions per page 1 Max atternpts allowed 1 Scheduling Eastern Standard Time O start End leai Visibility Y visible Assignment is visible to students when this boxis checked Assignment Types You can create graded assessments Homework or Quiz and Proctored Exam ungraded practice tests Anonymous Practice or assignments with set criteria Mastery and Study Session To take any assignment the student must be logged in and registered in the class 4 5 Setting Policies 43 To set the assignment type 1 2 Select one of the options in the Type of Assignment group box in the Set Policies tab of the Assignment Editor Homework or Quiz is the system default assignment type For any assignment type you can click the Advanced button to set prerequisite conditions Homework or Quiz assignments have the following format Students are presented with an assignment consisting of any number of instructor selected questions Questions are delivered either in an instructor specified or random sequence Student responses during sessions are recorded after every question so assignment sessions can be interrupted and continued upon next login By default Homework or Qu
74. enter 10 4 Graph Sketching Questions Overview The Sketch question type displays introductory text accompanied by a set of axes The student draws a graph on the axes by clicking points to be used as interpolation nodes Use the sketch environment to configure the applet and to declare the ranges of the axes a sample correct response and a list of criteria that the student answer must meet The begin sketch macro takes one option and four required arguments in the following format begin sketch gridlines xMin xMax yMin yMax example point list check criterion 124 check criterion check criterion end sketch Table 22 Sketch Values gridlines Number of horizontal and vertical gridlines in addition to the axes default is 10 xMin Minimum x value displayed on the x axis xMax Maximum x value displayed on the x axis yMin Minimum y value displayed on the y axis yMax Maximum y value displayed on the y axis The example lt point list gt macro describes a sample correct answer that is displayed if the student gives an incorrect response The sketch is given as lt point list gt a space delimited set of coordinates of the form x y The resulting sketch is a single curve interpolated from these points The check criterion macro sets a criterion that the student s sketch must satisfy Available criteria include Table 23 Sketch Criteria goes _through xcoord y
75. enu select the type of file being submitted as either Comma separated or Tab separated Click Submit A table is displayed that includes all columns and information in the file Click Enroll Roster A roster upload summary is displayed 1 5 Adding Users tothe System 7 Updating a Roster User rosters can be updated by importing rows with Login values that are already present in the Maple T A database If an import row specifies a Login that already exists and an LDAP system is being used to maintain the database then the user profile attributes are refreshed from the LDAP system In this case the only column required in the import row is the Login column In other cases the behavior is as follows The imported attributes overwrite the corresponding attributes in the Maple T A database Empty attributes are ignored and do not overwrite existing information An attribute is empty if it is delimited by successive commas or tabs with no intervening character An attribute may be overwritten to null by providing the special Maple T A string lt Null gt as its import value An attribute that is specified as one or more spaces will be trimmed and will overwrite the database attribute with an empty string different from a null value Attribute values not included in the import that is with no column in the import are not modified in the database Batch Removal Large groups of students can be removed from the
76. eploy a Java Applet sssssosssesssssssssssesseseseeeseese 112 Step 2 Create and Deploy a Java Class for Grading 0005 113 Step 3 Author the Maple T A Question ssssssssssssessessssssssessesrsreseese 113 Question Authoring in LaTeX cceeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeennneeees 115 Writing Questions in LaTeX ooo cceccccssssssseceeceeeeeecceeesesessessaaeaeeess 115 Re Quire ments 135 a g esgied se a asda eee aa eas 115 Authoring Process iid tins a EE bon deta ae yea etna 116 LaTeX Document Structure cccccccccceccccecccccccccsceceseseueseueueeereseeeees 116 Question Structure o cccccccccccsccsssssssceeeececeecseseesessessssseeeeeeeeeseeeenes 117 Sample Question File ccccccccccccccccecesceeseessnsseceeeceeceeeseesensesssssaaees 117 Converting into a Maple T A Script ccc ccc ccccccccceeeeseessesssneeeeees 118 Samplecgu Pleasonton et taa A 119 Working with Algorithmic Variables ccccccccecceeesseececesesseeeeeneeaaes 120 Defining the Algorithm 2 0 0 0 cecceccessssseccecececceceseeessessssecseeeeeeeeess 120 Referencing Algorithmic Variables cccceeceessessecceeeeeececeeeeeenes 121 Placing Images in Questions ccecceesssssececeeceececesesensesssasseceeeeeeeeeeess 122 Setting the Image Base ou ccccccccccccceccecesceessensecseceeeceeceeeseneessentsaeeas 122 Inserting ian Image nean ei ta a stan eese E a a ede DE cee teses 122 Graph Sketching Questions
77. er text provided to generate a string which the applet will display as the correct answer when passed the string as a response parameter Note In many cases it will be enough to simply return the answer text in unmodified form However when the answer text only provides qualitative grading criteria up and to the left it s more difficult to generate a sample response In that case it may be a good strategy to provide an example answer as a grader parameter in the testbank E g set the answer text to be up and to the left and set grader param example 140 27 After your grader class is created create a JAR file and place it in the WEB INF lib folder so that it is accessible to the class loader Then restart the Maple T A server Step 3 Author the Maple T A Question The last step is to host your Java applet in a Maple T A question using our Applet question type 114 To do this you need to create a source question file Note that Applet questions must be authored outside of the Question Editor Open a text editor enter and fill in the following lines and save the file with the name filename qu where filename is the name you choose to assign to the source question file qu 1 1 question __ qu 1 1 answer _ qu 1 1 applet __ qu 1 1 width _ qu 1 1 height __ qu 1 1 param _ _ qu 1 1 grader class __ qu 1 1 grader param _ __ qu 1 1 mode Applet qu 1 1 name _ qu 1 1 editing useHTML qu 1 1 algorithm _ For t
78. eseccecceceessestsaseceeeseeeecesesensntssaaees 92 A Question with Infinitely Many Correct Answers ccccccsssseeeeerees 96 Testing your QUESTION ceceeccesesesesssseseeseseeececeeecceceeceeeecesesaaaeaeasaeesees 98 Another Question with Infinitely Many Correct Answers 008 99 Accepting Approximations of Exact Symbolic Answers cceeee 99 Questions with Vectors and Matrices cccccccccccccecceeeeesessrsecseeeeeceeees 100 Allowing for Partial Grading ccccccccsesssssecseceeeeeeeeseesenensesteaaeess 101 Performing a String Match o cceccccceessssscccceccececesceeeeesssssaseeeeeeeeeeeess 102 Performing a Pattern Match o cccccecssessssccceccececescesesensnsssaeeeeeeeeeeeens 103 Troubleshooting Maple graded questions cccsccsccccecceceeeeeseesenteeaeees 104 Flash and Applet Questions 2 c ecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeees 105 Flash Movies in Maple T A Questions cccccccccccecceeesssessessseeeeeeeeees 105 Java Applets in Maple T A Questions ccccccscscccececceceseesssensrseeaeecs 106 Dynamic Labels on an Image cccccscsssescecececcececeeceecenecaaaeaeaeaeees 106 Interactive Plots orere ia aa einer a Eei AE EE ESS ies 108 Flash Question Type ccccccccccsceccccsccssssssesssnsecaeceseccecesessessssesseaeeaseessecs 110 Applet Question Type eseesssssesesssseerecsssssssssseesereceresesssssessreserecssessssseseese 111 Step 1 Create and D
79. essseeeeseeeteeeees 72 Examples of Randomization Functions in Maple T A oo eres 77 Basic Arithmetic epea a levee E jedteaved dacacevssesscteakoe ss 78 Caleulating Area misne tise Has dieoeed eka Mateteseah eee ed Hees 79 Color Combinations cccscccccessssececceesseeeeccsesseeeeceseseseseesessseeeensesaes 80 Randomization Routines in Maple 0 cccsessssseseeeececceceeeeeeeeeeeeeeaeaeaes 81 Random Integers aano dete cute da seidee dvs seedd a tdeBecsevedeaevencss 82 Random Polynomials ccccccecessesssesesescececcecececeeeeeeececececuaaeasasaeeeeeees 82 LinearAlgebra Functions ccccceceessscssceccecececceessnsesseceeeeeeececesesenees 83 RandomTools Functions cccceeceessensececeeceeeeeneeecnenneneeeeeeeeeeneenenees 83 Examples of Randomization Functions in Maple cccccesssceeeeeenees 85 Degree of polynomial eccecccceessesseccecececceeceeeessessesseceeeeeeceeeeseeenees 85 Intersection of Sets ccccccccccccssssssecescsenseecescsecsaeeeseseaeeeeecseseeeeeenesaees 85 Matrix Determinant cccccececcsessccteceecececeeeneeeeseecneaeceeceeeeeeseneeeenees 86 Maple graded Questions ceecccceeeeeeeeeeeeeeeeeeeeeeneeeeeeeeeeeeeeeeeeeneees 89 A Basic Maple graded Question ccccccccccecceessssssececeeseceecesesensnttsaees 89 Testing Your Question ccceceeceessssseccecececcecceeeensensesseeeeeeseeeeeseneeees 92 A Randomized Question ccccceecssssecsee
80. estion Maple animations can only be displayed as animated GIFs 2 You can define the height and width of the image without losing any quality in the image 3 You can see the plot immediately in the algorithm editor There is no need to finish the question before being able to tell if you used the correct plot command or if you need to change it slightly to improve the presentation The format of the plotmaple command in the algorithm editor is as follows myplot plotmaple plot sin x x Pi Pi plotdevice gif plotoptions height 250 width 250 myanimation plotmaple plots animate sin a x x Pi Pi a 1 4 plotdevice gif plotoptions height 200 width 200 Figure 6 B Using the plotmaple command you can include algorithmic variables in your plot statement You will see a preview of the image in the algorithm editor Here the algorithm editor text region and the corresponding image are shown Variable Value a 4 70 7 Algorithmic Variables You can use algorithmic variables to randomize your questions in Maple T A These algorithmic variables can use the built in algorithmic generator or can use any of Maple s randomization routines 7 4 Creating Algorithmic Variables in Maple T A To create an algorithmic variable in Maple T A use the algorithm designer in the Question Editor Algorithmic variables can be used in any question type and can be used in the question text the answer region as well as in t
81. example the question in Figure 9 C asks students to move the disk to a specific point in the Cartesian plane Figure 9 C A Flash question in Maple T A Move the red disk to the point 4 3 Je IT 1 2 3 4 5 6 7 8 To create the Flash movie you will need Flash development software for example Adobe Flash CS3 and some familiarity with Flash programming Your Flash movie must implement the following features A pair of variables called response and locked should be declared e Whenever a student interacts with the movie and brings it to a new state that state should be translated into a text string and assigned to the variable response You are free to decide for yourself how this translation is done When the Flash movie starts up it reads the variable response and finds a string that was returned by a previous call to GetVariable response 9 4 Applet Question Type 111 You must program the movie to initialize its appearance to the state consistent with that response The Flash movie also reads the variable locked This variable determines when a student is allowed to modify his her response When the value of locked is equal to true this signals to the Flash movie that the question is in feedback mode in this case the movie should present in a form suitable for feedback After creating the Flash movie you would upload it to a folder on your class web site as described in section 6 4 Finally you n
82. f the question BBio o ti A Bz U j A 2 Tgr Qyr Font 7 Size bd Insert Edit Response Area Who introduced the Arabic number 7 In the Choose Question Type area click List Figure 3 L List question type using the Question Designer Edit Response Area j Al Choose Question Type Formula List Maple Multiple Choice Weighting y Numeric Matching Type Ignore case text match v List Essay Display Type Drop downMenu Textfield Z Permute list Choices ltem item Weight Item Rene Descartes 0 0 Leonardo Fibonacci 1 0 Marcel Duchamps 00 _ Feedback Algorithm into Hints Solution Ea aal 8 The default Matching Type is set to Exact text match which applies strict grading case sensitive literal string matching as your grading mode To invoke a less stringent grader that ignores case sensitivity and 34 9 punctuation select Ignore case text match The List mode also provides a regular expression matching grader useful for customization of the grading routine These fields are applicable when the Display mode is set to Text Field which presents students with a blank response area For this example select Drop down Menu Ensure the Permute list check box is selected Enter answer choices in the Item fields To add additional items click the Add Item
83. fic in multiple choice questions The values of i in a question must start at 1 and be consecutive hint i Optional Yes Display Contains a hint The values of i in a question must can contain start at 1 and be consecutive variables solution Optional Yes Display Contains worked solution Shown only in Study can contain Session assignments variables info Optional No Internal Contains descriptive information about the question user specified directive Multiple user specified fields and corresponding values can be contained in this statement 132 Notes 1 Internal Directive fields are commands that are evaluated and performed by the system They cannot contain HTML or MathML tags and must conform to the system syntax for algorithms formulas math expressions or command switches 2 Display fields hold question information that is used in displaying the question or related feedback hints or solutions The topic and name fields cannot contain variable values because algorithmic variables are set at the level of the question 11 4 Plain text File Question Enhancements There are some question types in Maple T A that can be enhanced by editing the qu file There are also some question types that can only be created or edited by using plain text files or LaTeX files Response specific Feedback You can add response specific feedback to multiple choice and list questions by editing the qu file Note
84. ge question text feedback hints or solution click the Insert Edit Image k button 3 Under the Image Info tab click Browse Server and select the image you uploaded in Step 1 You will be shown a preview of the image 4 Click OK and the image will be added Note The Browse Server screen 3 above also allows you to upload an image to the server in case you had not previously uploaded the image through the Web Site Editor Maple Plots There are two ways to include a Maple generated plot in Maple T A the drawMaplePlot script and the plotmaple command The plotmaple command was added in Maple T A 2 5 and is now the recommended way to include Maple plots in questions The drawMaplePlot script is still available but does not provide the same functionality as the plotmaple command plotmaple command The plotmaple command was introduced in Maple T A 2 5 With it you create algorithmic variables that contain your plots You can then reference these algorithmic variables in your questions feedback hints or solutions Some of the benefits of using the plotmaple command are as follows 1 You can specify in the command whether you want the image to be saved as a GIF or JPEG This is important if you want to display most of your 6 4 Including Images in Questions 69 images as JPEGs so you set the default image type to be JPEG but occasionally want to add an animation to a question and thus require a GIF image for one qu
85. he Maple T A Help System Inserting an Image To include graphics in a question use the image macro The format for the image macro is image extension filename The extension argument is optional It specifies the extension to be appended to the filename when the question bank is converted to Maple T A format The default value is jpg Table 21 Example of Question with Image Sample question with image in LaTeX begin question Numeric qutext Quadrilateral SABCDS is circumscribed about a circle as shown with SABS var a cm and CD var b cm Find the perimeter of the quadrilateral image InsertImage gif code a range 5 25 b range Sa 1 a 5 ans 2 a b answer ans cm end question 10 4 Graph Sketching Questions 123 Table 21 Example of Question with Image Additional notes image extension filename Question displayed in Maple T A Quadrilateral ABCD is circumscribed about a circle as shown with AB 21 cm and CD 24 cm Find the perimeter of the quadrilateral B Number Units You can also use the LaTeX macros for dynamically labeled images and graph plotting applets rather than working with the applet code that we used in section 9 2 For complete details on images and plots in LaTeX questions please consult the Creating Maple T A Questions Using LaTeX article which can be downloaded from the Maple T A Content C
86. he example of the slider balls a detailed explanation of these lines of code is given below qu 1 1 question The left hand ball has mass of m1 kg and the right hand ball has mass m2 kg The center of mass of the left ball is h1 meters above the ground Move the right hand ball to the height that gives it the same potential energy as the ball on the left qu 1 1 answer h2 qu 1 1 applet applets sliderBall SliderBall qu 1 1 width 100 qu 1 1 height 200 qu 1 1 param right 2 qu 1 1 param left h1 qu 1 1 grader class gateway question grader StringMatch qu 1 1 grader param ignoreCase true qu 1 1 mode Applet qu 1 1 name Physics Applet Question qu 1 1 editing useHTML qu 1 1 algorithm h1 int rint 35 5 h2 int rint 35 5 m1 rand 10 70 38 m2 sig 3 m1 h1 h2 10 Question Authoring in LaTeX There are some question types for example graph sketching questions and matrix questions which cannot currently be created within Maple T A s question editor These questions would have to be authored either in LaTeX or in plain text script files In fact you can author and edit all question types using LaTeX to generate plain text script files that can be imported into Maple T A Of course it is recommended that you write and edit question banks using LaTeX only if you are an experienced LaTeX user 10 1 Writing Questions in LaTeX Requirements To use LaTeX to author Maple T A questions you need ed sty the LaTeX
87. he hints and feedback sections Algorithmic variables are denoted by a dollar sign for example var To create an algorithmic variable Upload an existing question or create a new one Click Questions then New Question Choose the question type from the drop down menu In the Algorithm field click Add If you know the format of the command you can type it in the text box and proceed to Step 7 Otherwise click Show Designer to load the algorithm designer tool a F WN 6 Type the required information in the algorithm designer template Note that you do not need to use the to denote variables in the template Click OK to add the command to the algorithm text box and display a possible value for the variable 71 72 7 Click Refresh to have Maple T A generate another possible value for the variables 8 Click Save to return to the main page for the question You can now continue creating your question and can use the variables that you created Algorithm Design Tool Figure 7 A You can use the algorithm designer to create simple random integers set conditions on the variables or enter a Maple command that will generate a random object whole number v betwee equals v 4 LIB Location output feid 7 2 Maple T A s Built in Functions and Constants Maple T A contains several functions for creating algorithmic variables You can create random integers or real numbers perform operations o
88. ic grading Figure 4 B Assignment Editor Set Policies Tab o _Eeeeeeeeeeeeee OH MapleT A Math 137 Assignment Editor wa Maplesort System Homepage Class Homepage Assignment List Assignment Editor Welcome Adam Brodie My Profile Help Logout 1 Choose Name 2 Select Questions 3 SetPolicies 4 Review amp Finish Advanced Results Anonymous practice No session results are recorded Not recorded Homework or Quiz All session results are recorded Recorded LU Always rework the same assignment on return Offer printable version of assignment Proctored Exam Requires proctor authorization to grade Recorded Also require proctor sign in to start session Mastery dialog Control progress question by question Recorded Edit mastery policies Study session dialog Flashcard style learning Not recorded Feedback During the assignment Show hints Allow students to check grades and feedback Foreach question Never show the correct answer Never show the question comment After the assignment is graded Show the final grade Foreach question Never m show the correct answer Never show the question comment Send email reports to C Restrict feedback until clear Ifyou have chosen to display feedback details this option will delay their display until the specified date Assignm
89. ick the Public Questions link 2 Use the search methods available to find the public questions that you wish to use 3 Add the question to one or more of your question groups by clicking the modify button or by clicking the checkbox beside the questions you wish to use and then clicking Add To Groups To clone a question 1 Use the search methods to find the questions Public or Private that you wish to clone 2 Click the clone button or click the checkbox beside the questions you wish to share and then click Clone Inherited questions automatically appear in a class repository as they are created 2 2 Course Modules 13 2 2 Course Modules If you want to share not just your questions but also images and assignments that you have created based on those questions you should use course modules Once you create a course module you can send it to other instructors who can upload it into their classes and use it as is or alter it to better suit their needs Course modules can be uploaded to other installations of Maple T A not just the one at your institution Note Only local content can be included in a course module If you are inheriting content from another class you will not be shown the inherited content in the course module creation screen Figure 2 A The Course Module main menu screen enables you to create import export or delete course modules and their contents OOO S MapleT A Demonstration Clas
90. ick the radio button beside the 12 to mark this as the correct answer and click OK 3 3 Example Questions 29 15 Click Finish The Question Editor gt Preview Question window opens displaying the question as it appears to the student Figure 3 1 Multiple choice question incorporating 2 D math preview Question Name Multiple Choice Whatis y 144 15 12 14 13 72 0000o Maple Graded Question The Maple graded question type uses Maple to evaluate a student response and to render a plot of the student s response The Maple graded question type gives you access to the computational power of Maple It includes facilities for algebra calculus differential equations discrete mathematics graphics numerical computation and many other areas of mathematics You can also use Maple to create questions whose responses require sets differential equations unevaluated integrals and many other types of mathematical data You can find common errors and reward partial marks With the Maple graded question type you also have access to the plotting capabilities of Maple You can use Maple to plot a student response or a function derived from a student response such as the definite integral of the student response for a Maple graded question type You can also use Maple to display a plot for any question type You must adhere to the following guidelines when using Maple code for Maple graded questions A Maple graded question must u
91. ink between a parent class and any child class Child classes will automatically get any changes that you make to the parent class content With a course module there is no link between your class content and the class in which the course module is uploaded Creating a child class can be done by an instructor or an administrator To create a Child Class 1 Log in and click on the class you want to share 2 Click Actions and then Add Child Class 16 gt 3 Click Change Instructor and then browse the user list or use the search panel to find the user who will be the instructor for the child class Select the radio button beside the user and click Update to change the instructor 4 Enter the information in the registration form and click Submit You will get a notice that the class was created 2 4 Featured Classes If you have a class that will be used by many instructors or from year to year you may want to create a featured class A featured class is similar to a shared class as described in the previous section The main difference is that a featured class will appear in the drop down list of classes from which you can inherit content when a new class is created To create a Featured Class 1 Log in as a system administrator Click Actions and then Administer Classes If the tree view is showing click Table View Click the Open link for the class that you want to make a featured class Click Edit On the Class De
92. ion Functions in Maple 85 7 5 Examples of Randomization Functions in Maple The following examples include the Maple T A source code required to generate the question Degree of polynomial This numeric question uses Maple to generate a random polynomial and Maple s MathML ExportPresentation function to generate a nicely formatted version of it We then ask the student to determine the degree of the polynomial To create the question 1 Click Questions then New Question to create a new question The New Question window opens From the Question Type drop down menu select Numeric In the Question Description field enter Degree of polynomial In the Algorithm section click Add The Edit Algorithm window opens ao A wo N Enter the following code in the text box a range 0 2 b range 2 5 poly maple randomize randpoly x degree b displaypoly maple printf MathML ExportPresentation poly 6 Click Save You return to the New Question window 7 Click Next The Question Editor gt Add Question window opens 8 In the Text of the question field enter the following What is the degree of displaypoly 9 In the Number text box of The correct answer area enter b 10 Leave the Units text box of The correct answer area blank 11 In the Specify precision area select the radio button beside Require absolute accuracy 12 Click Finish Intersection of Sets Here we use the RandomTools
93. ited States and other countries Waterloo Maple Inc is independent of Sun Microsystems Inc All other brand names or product names are trademarks or registered trademarks of their respective companies ISBN 978 1 897310 83 0 Contents Getting State sssini nnne nic datas sainatanewadarstd atnssarndstnveateataneeiwdde 1 System OVErviewe sisi aen a t Se a ani a aaa tenaaa ee Eae EEEa 1 PNTA abaa TES Ei A ETES TA AE 2 Gradebook sree ra raaa A A E A 2 TOROS OD A aE A e E AEEA T aaie 2 The Class Homepagina ni iiaiai r a e aE Eais 3 Creating a Class dmnn a a a ea RO a aa a 4 Adding Users to the System sessssssssssssesessessresssssssessesseorrssesssssssenseseeseess 5 US r ROSters soideioc piparisi e i a E e aa TERE ierat 5 Adding Individual Users cccccececcsessesseccececeececceceeesessessssseceseeseeeeees 8 Registering Users in a Class cccccecccccessssssssecceeeceececcseesesensessseeeeeseeeeens 8 The User Manager oise e a a e E a E ES 8 Student Self Registration s sseessseeseessesssssosresrreecsessssssssossesereeeseesessss 9 Class Rosters hrnie eane eta tn ee ee eee aa 9 Sharing Contents scsisscantenccasacsnseataassanyccnsnneediineantecaseaseredceweatentansetce 11 Sharing Questions arsen oina a aaan a a aa iaaa anaa aa S Mead 11 Course Modules ornis a N A E EE ne Sea 13 Child C lasden anie a ing aaee teed leche AE 15 Featured Classes evesssicvaassclasaasiierd saves lcsacPaavobetacteeh ects Livia wining las ee be E
94. iz assignments can be attempted multiple times for credit To limit the number of attempts a student can make on a particular assignment use Assignment Properties of the Set Policies tab in the Assignment Editor Results for every attempt at a Homework or Quiz assignment are recorded in the Gradebook for the class Proctored Exams are similar to Homework or Quiz assignments but with an additional security measure to confirm the identity of the student taking the test All Proctored Exams require a proctor to authorize students submitting their test for grading You can require proctor authorization to validate student identity and grant assignment access at the start of a proctored exam Students must be registered in your class They are required to provide their student login and password to access assignments in addition to proctor authorization There are two types of proctors Global and Local Global proctors are defined by the System Administrator and can give authorization for any class Local proctors are defined by the Instructor and can only give authorization for a particular class To set up a local proctor navigate to the Class Homepage From the Actions menu select User Manager From Actions menu select Register Users In the User Role row select the Proctor radio button Select or search for a user from the list of registered users and click Register Proctors can give authorization directly at the student s compu
95. layed alongside the correct answer For variation the wrong answer variable product is set to the randomly generated variable a b 3 3 Example Questions 27 All lines end with a semicolon Click Save The Question Designer window is displayed Select the Feedback tab and click Edit The Edit Feedback window opens Enter the following text in the feedback text field con O The sum of a and b is sum Note As the instructor you can choose to have this information shown to students when they view their graded assignments 9 Click Save The Question Designer window is displayed 10 You must now edit the text of the question and the answer choices to use the variables In the Text of the question field replace What is 17 9 with What is a b 11 Double click Edit below the multiple choice options and replace the previous answers with the variables sum and product 12 Delete the third option by clicking the Back Space key 13 Click OK 14 Ensure that the sum variable is selected to be the correct answer 15 Click OK to return to the Question Designer window 16 Click Finish The Preview Question window opens Test the question by selecting an answer and clicking Grade Note Using the Question Designer you can add feedback algorithms hints solutions and information fields in the same interface as the question text as illustrated in this example You can also add these fields in the New Question s
96. lect the checkboxes next to the questions 36 3 Click Export The files are saved as testbank qu 4 A message is displayed indicating the download is complete Click Close You can import the saved question bank file plain text script file and then continue editing or install it in your class To open a question bank file that was downloaded to your hard drive 1 From the Question Repository click Questions then Import Question Bank 2 To locate your file click Browse 3 Navigate to the source file on your hard drive and click Open The path and filename are displayed in the Question Bank field 4 Select how the questions will be organized when importing 5 Click Import The topics are displayed in the left panel of the Question Bank Editor 6 Save your imported question bank From the Actions menu select Save Question Bank When you upload a question bank file into the system it performs a set of validation routines to ensure that the questions function Occasionally you may encounter an error with a variable name or definition upon uploading The following is a summary of the system s analysis of variables upon initial loading of a question bank file For variables displayed within HTML text for example in a question statement or feedback area a problematic variable does not produce a data value generated from its definition Instead its variable name is displayed highlighted in red For variable
97. led Select the type of expression you want to accept ensure Formula e g x 2 sin x 2 is selected Note The Formula option accepts basic algebraic expressions either by entering them in standard calculator syntax for example 2x y sin x y 4x 2 1 or by using the symbol palette When the student submits a response with this option selected the system translates it into Maple syntax so that the Maple engine can apply your Maple code to it If you want the student to enter equations differential operators integral signs summations vectors matrices DEs or other advanced mathematical expressions select the Maple syntax e g diff 2 f x x option This option allows a much wider range of student response types However it requires the student to enter the response using proper Maple syntax because the system runs your Maple code directly on what the student types Also this option 92 gt allows the student to enter Maple commands for example diff sec x x so you need to be careful when you choose it 10 Click Finish This will take you to the Preview screen in which you can test your question or start a new one Testing Your Question 1 Now pretend you are a student doing the assignment and enter a typical response in the text area as shown in Figure 8 C Figure 8 C A preview and test of the question Grade Edit Topics in this Question Bank V Maple Questions Question Name Derivative of S
98. lt system behavior is to show the final assignment grade as well as question feedback but you can switch either of these elements on or off control access to hints during assignment sessions before grading or allow students to check grades while taking an assignment Figure 4 C Feedback Feedback During the assignment I Show hints I Allow students to check grades and feedback For each question Never x show the correct answer fi lever x show the question comment After the assignment is graded ae V Show the final grade Edit grading message For each question If incorrect Y show the correct answer Always gt show the question camment I Send email reports tof I Restrict feedback until clear Ifyou have chosen to display feedback details this option will delay their display until the specified date Hints You can allow access to question hints if they exist in any assignment type Hints will appear as hyperlinks below the question answer region and the student can click on the link to display the hint if they want To display hints during an assignment select the Show hints check box Feedback You can show feedback during the assignment or after it is graded for example displaying the grade correct answer or comment for each question In the drop down lists of the Feedback group box select from Always If correct If incorrect or Never condition options for displaying the correct 46 answer and question com
99. mTools Generate command as shown in the RandomTools section below Table 13 Random Integers Function Return Value rand Generates a 12 digit non negative integer rand n Generates a random integer between 0 and n 1 inclusive rand a b Generates a random integer between a and b inclusive Random Polynomials The randpoly function is the most straightforward way to create random polynomials You can also use the RandomTools Generate command as shown in the RandomTools section below Function Table 14 Random Polynomials Return Value randpoly variables options Generates a random polynomial in terms of variables using the options specified The most common options are used to specify the type of coefficients and exponents the degree of the polynomial and the number of terms in the polynomial These options are specified as follows coeffs rand a b the default is rand 99 99 degree n the default is 5 expons n the default is rand 6 terms m the default is 6 but this value is overridden by the degree option if there is a conflict 7 4 Randomization Routines in Maple 83 LinearAlgebra Functions The two most common random objects that can be created using the LinearAlgebra package are Matrices and Vectors You can create both row and column vectors Table 15 LinearAlgebra Functions Function Return Value LinearAlgebra RandomM
100. may contain as many questions as you like end question end topic End of topic end document End of document The region between the begin question and end question macros is where you include the question details 10 1 Writing Questions in LaTeX 117 Question Structure Each question in a topic has the following basic structure Mandatory items are bolded Table 19 Questions Structure Code Description begin question question type Beginning of question name question name A name given to the question in the Maple T A question bank property name1 value1 Information fields useful when sorting property name2 value2 questions in the assignment editor hint first hint Hints available to students when taking an hint second hint assignment comment feedback text Feedback to students on the question qutext question text Text of the question body additional question type Each question type has its own required specific macros macros end question End of question In addition to what is listed in the table each question type has its own set of LaTeX macros For example many math question types have a required answer macro for specifying the correct answer Sample Question File You can copy the text of the sample question file below and save it into a LaTeX file on your local computer Then go to the Maplesoft web site run the file th
101. me limit for Homework or Proctored assignment types If you set a limit the program shows the student the time remaining during the course of the test If the time limit expires during the test the system informs the student and does not allow the student to enter responses to any more questions Note The timer does not stop until the student runs out of time or clicks Grade The timer will continue to run even if the student clicks Quit and Save Setting the Number of Questions per Page By default the program displays one question per page when presenting an assignment to students You can use this option to deliver more than one question per page If you have used question annotations and set the annotations to display at the top or the bottom of the page in which the 48 question is loaded your annotations appear as a page level header or footer rather than immediately before or after the question Note Mastery and Study Session assignments automatically serve one question at a time This is part of their instructional design and this setting cannot be changed for these assignment types Tip If you are concerned about a student s ability to assess complicated questions over a slower online connection it is recommended that you accept the default setting of one question per page Loading one question at a time usually allows a student to move through the assignment effectively but also saves each question response as it is com
102. ment You can also restrict feedback until a certain date To allow students to display a grade for each question while they are taking the assignment select the Allow students to check grades and feedback check box To display the final grade after the assignment is graded select the Show the final grade check box You can customize the message students receive by clicking the Edit grading message link and modifying the default messages To restrict the feedback to a certain date select the Restrict feedback until check box and enter in the date This is very useful if you give students a certain amount of time to do a homework assignment and you don t want to the students who finish early from giving answers to other students Hints and Question Feedback contained in the Comment field of a question are not always present in the source question bank content You can add hints or comments by using the Question Editor and editing these fields for individual questions If you choose to display hints and comments and your source questions lack them the system simply ignores the display settings Sending Email Maple T A can send you an email whenever a student completes an assignment in Homework and Proctored mode The email will contain the name of the class assignment student and their grade To receive email notification select the Send email reports to check box and enter your email address Note To use this feature your s
103. ment 1 or has made one or more attempts at Assignment 2 Criterion 4 a has vj passed xjjAssignment 1 7j or b has made one or more attempts at _ Assignment 2 Remove criterion Add alternative criterion Remove criterion Add additional criterion 50 The program automatically propagates the settings in the Criterion panel to the Requirements panel and updates the criteria in this field as soon as you select a different option from the list You do not need to take any action to add the criterion to the text area Note You can also enter the criterion directly in the Requirements field but using the Designer is recommended Criterion Options The first drop down list gives a choice between has and has not The drop down list in the middle lists a range of states and actions as shown The drop down list on the right lists all of the assignments for the class including the assignments whose restrictions you are defining Adding an OR Criterion Click the Add alternative criterion button immediately below the list of assignments The program adds the list fields for another criterion Adding an AND Criterion Click the Add additional criterion button at the bottom right of the form below the frame that encloses the criterion fields The program adds another criterion group in a separate frame Deleting a Criterion To delete an OR criterion click the Remove criterion button inside the frame for
104. n lists of items or set conditions on variables It is important to note that the algorithm generator in Maple T A works linearly This means you must be careful to define variables before referencing them in other variable definitions Table 2 Numbers and Constants e 2 71818 7 2 Maple T A s Built in Functions and Constants 73 Table 2 Numbers and Constants pi T 3 14159 2 9E8 Scientific Notation 290 000 000 Table 3 Arithmetic Operators Operation Description Addition Subtraction Multiplication Division x Exponential Table 4 Assorted Math Functions Function Return Value Example Output abs x Absolute value of x abs 2 2 sqrt x Square root of x sqrt 9 3 In x Natural base e logarithm of x In 1 0 log x Common base 10 logarithm of x log 10 1 exp x Base e exponential function of x exp 1 2 71818 fact n Factorial n fact 4 24 gcd a b Greatest common divisor of a and b gcd 4 6 2 frac a b A string that expresses the fraction a b in its lowest terms frac 4 6 213 This function can be combined with function mathml to produce nicely typeset fractions Random numbers can be generated with the following functions Table 5 Random Number Generators Command Output Example Output rint n A random integer among 0 1 n 1 rint 3 0 1 or2
105. n the Gradebook or is currently in use by a student Note The number of students currently using the assignment is displayed in the Active field of the Assignment Editor main menu Ifthe assignment is currently in use the questions in the assignment are locked so that an instructor cannot edit them You can edit some of the policies of the assignment like the time limit for example Ifthe assignment is not currently active the assignment is locked for editing so that new active tests cannot be started during the editing process Students who try to start the assignment while it is locked are notified with a warning message 4 2 Creating Assignments 39 4 2 Creating Assignments The Assignment Editor organizes assignment creation into a four step process 1 Naming your assignment 2 Selecting questions 3 Establishing rules and policies 4 Reviewing finishing and publishing assignments to your class To start a new assignment 1 From the Assignment Editor screen click New to begin a new assignment The Assignment Editor displays four tabs Choose Name Select Questions Set Policies and Review amp Finish 2 Proceed to the instructions in Naming Assignments 4 3 Naming Assignments The assignment name is displayed to students on the Class Homepage To name your assignment 1 In the Choose Name tab enter a name for your assignment in the Choose A Name For Your Assignment field 2 Optional Click the Adv
106. ne answer regions or Response Areas and then apply grading and other behaviors Like all questions in Maple T A you can insert algorithmic variables and inline math expressions as required Figure 3 C Question Designer Use the function 2x4 4x and the following plot of the function to answer the questions below Splott 41 Determine the first derivative ofthe function Maple Exit 2 Identity the maximum point s 1 6 O B54 115 338 Edit Feedback Algorithm info Hints Solution Splott plotmaple plot 2e 4 493 1 3 5 10 From the Question Designer you can launch the Response Area window which allows you to define the question type weighting grading behaviors display behaviors and correct answers You can define additional behaviors according to the individual question mode you select Additionally you can add feedback algorithms hints and solutions At the top of the Question Designer is the toolbar which includes the unique Insert Edit Response Area button that you use to activate the Response Areas defined in your question 3 3 Example Questions 23 Figure 3 D Insert Edit Response Area Text of the question E Source i oO G Ai BZ umj x The Question Designer supports the following question types Formula Question Types Formula Formula Mod C Restricted Formula
107. notation is used to display the value Isu n x The unit in the nth significant place of x Isu 3 20 8571 0 1 This operation is designed to be used when setting the tolerance for correct answers For example to accept an answer to within a tolerance of one unit in the third significant digit use ans lt formula gt tol Isu 3 ans and set the answer field to ans tol numfmt fmt x x formatted according to the template fmt numfmt 00 20 9 20 90 There are several functions in Maple T A that operate on lists These allow you to choose an item out of a list based on a property or a value They are very useful if you want to create a question with the same stem or base information but have answers with different properties Table 8 List Operations Function Return Value Example Output min a b c d the smallest element from a list min 2 1 3 5 4 1 76 gt Table 8 List Operations Function Return Value Example Output max a b c d the largest element from a list max 2 1 3 5 4 switch n a b the nth item from a list where position numbering in the list starts at 0 switch 1 red green yellow green switch rint n a b the nth item from a list where n is a random integer from the given list switch rint 5 2 3 5 7 11 either 2 3 5 7 or 11
108. nt 6 Proceed to the instructions in Setting Policies Individual Versus Grouped Questions Individual Questions If you add selected questions to your assignment as individual questions each one is included in every version of the assignment served to a student and you control question weighting individually Question Groups Adding questions in question groups provides you with the added option of selecting a group of questions and having the system select from the questions at random according to criteria you specify for example choosing three of seven questions from the group each time a new assignment is created for a student You set a single point value that is applied to every question in the group 4 5 Setting Policies In the Set Policies tab of the Assignment Editor window you can Select the type of assignment Set feedback options for the assignment 4 5 Setting Policies 41 Decide when to make it available to your class e Establish other grading policies You can configure the number of questions on a page create test instruction sheets and headers and set policies for restricted access repeated attempts and other options Students answer questions one page at a time and the system records their responses between pages Jumping from question to question within an assignment is allowed until students complete all questions or choose to ignore the warnings to do so and submit their responses for automat
109. nt preview of the assignment You then have the option to print the assignment or click Back to return to the Assignment Editor View a summary of the assignment by clicking summary Figure 4 A Assignment Editor O MapleTA Math 137 Assignment Editor s amp Map Maplesoft System Homepage Class Homepage Assignment List Welcome Adam Brodie My Profile Actions Content Manager Gradebook Help Logout New Synchronize Select an assignment name link to edit that assignment While an assignment is being edited it will be locked Please ensure that you exit the assignment editor by using the page navigation buttons Failure 3 will leave the assignment in a locked state Assignment Name Points Type Availability Modified Active B 1 oo Demonstration of the Maple graded Question Type 25 0 Practice Unlimited 6 20 05 0 A 2 fg Demonstration of question Types 63 0 Practice Unlimited 6 20 05 0 3 m Assignment1 21 0 HomeworkiQuiz Unlimited 8 9107 a The Assignment Editor main menu lists assignments created for your class These assignments may be populated with a series of assignments based on testing materials or other shared questions If not you initially see a blank list here For more information on shared classes see Chapter 2 Warnings and Locking Mechanism When an assignment is opened for edit the system checks and warns the instructor whether the assignment has associated student records i
110. o the cached question bank proceed to the Question Display screen and then click Finish 6 3 Including Formatted Math Expressions in Questions 65 Solution In the solution field you can enter a worked solution that is displayed in Study Session assignments In these sessions the student can view the solution before entering an answer or after submitting the question to be graded When editing a question in the Question Editor you can add or edit the solution To add or edit a solution 1 On the New Question window click the Add or Edit button in the Solution area 2 Enter or edit the solution in the text box 3 Click OK 4 To add your changes to the cached question file proceed to the Question Display screen and then click Finish Note The solution field is only shown in study session assignments To include a solution that can be used in other assignment types you should use the feedback field 6 3 Including Formatted Math Expressions in Questions Maple T A renders the question text as HTML MathML if the Use HTML check box has been selected This allows you to include formatted math expressions in questions There are three ways to create nicely formatted expressions in Maple T A 1 The built in mathml function 2 The built in Equation Editor 3 Maple s MathML ExportPresentation function Using the mathml Function Maple T A contains a built in mathml function This is an algorithmic function that a
111. of the function f x x sin x 3 Since this problem has infinitely many correct answers we won t enter specific code in the Maple answer code text region 4 Enter the Maple grading code is diff RESPONSE x x sin x 5 Ensure Formula e g x 2 sin x 2 is selected The system will mark correct any response of the form sin x xcos x C where C is a constant because we are asking Maple to differentiate the response The code evalb simplify RESPONSE int x sin x x 0 is not appropriate here as it would mark incorrect any response in which C 0 We use Formula as the type of expression to accept in order to prevent Maple savvy students from entering int x sin x x as the response 8 5 Accepting Approximations of Exact Symbolic Answers This example asks to find the perimeter of a circle where the radius is selected at random The student s response is graded correct if it is within 5 of the correct answer 1 In the New Question window add a new Maple graded question 2 Open the Algorithm screen and enter r range 2 5 100 This function generates a random integer in the range 2 to 5 inclusively 3 Proceed to the Maple graded Question and Answer screen and enter the question Find the perimeter of the circle with radius r correct to four significant digits 4 Enter the Maple answer code exact 2 Pi r evalf exact 4 5 Enter the Maple grading code evalb
112. on had been suitably programmed maple diff x 3 x 3 x 2 7 3 Examples of Randomization Functions in Maple T A The following examples demonstrate some of the randomization routines that are available in Maple T A 78 Basic Arithmetic In this example we use a multiple choice question and ask the student to add two numbers In the algorithm designer we define two integer variables a and b and then define a third variable ans which is the sum of a and b In the choices to be displayed we create an inline algorithmic variable that is the product of a and b by using the format expression To create the question 1 In the New Question window select the Multiple Choice question type from the Question Type drop down list 2 Enter Addition as a description in the Question Description field 3 In the Algorithm section click Add The Edit Algorithm window opens 4 Enter the following code in the text box a range 2 10 b range 3 15 condition not eq a b ans at b Click Save You return to the New Question window 6 Click Next The Question Editor gt Add Question window opens 7 In the Text of the question field enter the following What is a b In the Choices for the answers section enter a b ans as possible answers one for each field We can also define an algorithmic variable on the question screen To do this enter a b in the four
113. onal No Internal Defines correct number and units of answers in or answer unit directive numeric questions Required in numeric questions maple Required in No Internal Maple code to grade student responses and prevent Maple graded directive cheating questions plot Optional No Interna Maple plot command that plots a student response directive or related function Available in all Maple graded questions grading Optional No Interna Defines grading mode in numeric questions directive Required in numeric questions units Optional No Interna Reference to a customized table of units directive digit Optional No Interna Number of significant digits Required for exact_sigd directive and toler_sigd grading modes in numeric questions perc Optional No Interna Percentage error or tolerance Required for directive toler_perc grading mode in numeric questions err Optional No Interna Absolute error or tolerance Required for directive toler_sigd and toler_abs grading modes in numeric questions tolerance Optional No Interna Absolute tolerance for formula questions including directive subtypes choice i Optional Yes Display Contains the ith choice in a multiple choice or can contain multiple selection question The values of i in a variables question must start at 1 and be consecutive comment or Optional Yes Display Contains feedback provided to students upon comment i can contain grading The comment i field provides response variables speci
114. onse For this example if they understand the con cept of an increasing function seeing the plot allows them to verify that they have entered a correct function This feature is only available using the Maple graded question type 8 Click Finish to see a preview of the question as shown in Figure 8 H 98 Figure 8 H The increasing function question preview Grade Edit Topics in this Question Bank SES a a Question Name Increasing function Give an example of a function f that is increasing on the interval 0 1 O B 1 Darivative of Secant BB 2 coustion ot a plane B 2 inceeasing tunction Enter onty the expression for the function omitting fo0 Click Plot to verify that your function increases sings This question accepts numbers or formulas Help Change Math Entry Mode Preview Testing your question Now enter a response say sin x and click the Plot link as shown in Figure 8 H Figure 8 I shows the result Figure 8 1 A plot of the student s response g coe 038 06 OA 02 8 4 Another Question with Infinitely Many Correct Answers 99 8 4 Another Question with Infinitely Many Correct Answers This example asks for an antiderivative of the function f x x sin x 1 In the New Question window add a new question and proceed to the Maple graded Question and Answer screen 2 Enter the question Use integration by parts to give an antiderivative
115. oses the condition defined by statement x which is typically constructed using one or more of the functions below if a b c If statement a is nonzero returns b Otherwise returns c Typically a is constructed using one or more of the functions below Function Return Value eq a b 1 0 if a is equal to b 0 0 otherwise ne a b 1 0 if a is not equal to b 0 0 otherwise gt a b 1 0 if a is greater than b 0 0 otherwise It a b 1 0 if ais less than b 0 0 otherwise not a 1 0 if a is equal to 0 0 0 0 otherwise Example 7 2 Maple T A s Built in Functions and Constants 75 The following code generates a non zero integer variable a between 10 and 10 inclusive and a string variable b that reads either positive or negative depending on the sign of a a range 10 10 condition ne a 0 b if gt a 0 positive negative Numbers can be manipulated and or displayed in a specific format with the following functions Table 7 Number Formatting Functions Function Return Value Example Output int x The integer part of x int 20 8571 20 decimal n x x as a floating point number rounded to n decimal 3 20 8571 20 857 decimal places Trailing zeros are truncated and not displayed However see numfmt function below sig n x x expressed as a floating point number sig 3 20 8571 20 9 rounded to n significant digits In cases of possible ambiguity scientific
116. ou want changed In most cases the default URLs are the only ones that need to be updated Click OK Once the course module is created and ready for download you will see a link click here to start the download Click that link to open the file download dialog Click Save then browse to the location where you want to save the file Enter a new file name or use the existing name of the course module and click Save Once the download is complete click Close You are returned to the download screen Click Return to go back to the Course Modules menu When you receive a course module you need to import and install it or pieces of it to the desired class To import a course module 1 ao fF wo N Log in as an instructor and click on the class in which you want to import the content Click Content Manager then Course Modules Click Import Click Browse to locate the course module file zip on your computer Click Import The system will display the question banks assignments and web resources from the course module If there are items that use the same name as those in your class they will be highlighted in yellow on the upload screen Select the checkboxes beside the items you want to install and click Install The selected items are installed in your class If you have uploaded a course module and decide that you no longer want to keep it you can delete it You can do one of two things
117. palette for student response entries True or false True or false questions are treated as a class of multiple choice question featuring only two choices In Example Questions on page 21 we explored the Question Designer as a container for authoring multiple choice Maple graded list and numeric type questions Examples of formula questions essay questions and other question types can be found in Maple T A s built in help system In Chapter 8 we take a closer look at the Maple graded question type 6 2 Enhancing questions You can enhance your questions by including feedback or comments that a student will see when they finish their assignment information fields hints and even a fully worked solution Feedback To return custom feedback when a student enters an incorrect response each question type supports a feedback field The comment in this field is displayed after grading In the comment field you can include additional explanations about solution method or final answer When editing a question in the Question Editor you can add or edit the comment To add or edit a comment 1 On the New Question window click the Add or Edit button in the Feedback area 2 Enter or edit the comment in the text box Comments can include HTML formatted text JavaScript and variables 64 gt 3 Click OK 4 To add your changes to the cached question bank proceed to the Question Display screen and then click Finish
118. pleted Setting the Maximum Number of Attempts You can set the maximum number of times a student can take an assignment If the student attempts more than the maximum amount a message is displayed indicating the restriction In this case the student can click the Exception button displayed in the restriction message screen A proctor or the instructor can then provide authorization Scheduling Using the calendar function under Scheduling you can set Start and End times for each assignment These times govern the availability of the assignment to students in your class Scheduled times refer to your server clock and system s time zone set by your system administrator Figure 4 E Scheduling Scheduling Greenwich Mean Time M Start Mar 16 2009 12 00 PM clear M End Mar 20 2009 05 00 PM clear Before and after the indicated availability window the assignment is still displayed in the list viewable by students on your Class Home Page but it cannot be selected Note that unavailable assignments will continue to be listed on the Assignment Editor Main Menu page Additionally unavailable assignments will appear in the student s past results page if the student completed them Visibility Check the Visible check box to include the assignment in the list of assignments displayed to students on your Class Home Page Alternatively you can select the assignments to display to students by doing the following 4 5 Setting
119. quired unit dimension students are presented with two cells one for the number part and one for the unit dimension The student must enter correct values in both cells to receive full marks for the question 10 To set the margin of error click the Required with menu which is set to Absolute Accuracy by default You can specify absolute precision student 3 4 Downloading Questions 35 answers must match the defined answer exactly or a significant figure precision for an exact answer match 11 Modify the tolerance by choosing one or more of the numeric formatting options The available options are Absolute Accuracy Set figures Margin of error e Margin in n th digit e Percentage margin 12 Click OK and then Finish to save and preview the question Equation Editor You can enter symbolic math in any question type In the Add Question Text window this window usually displays after the Question Editor gt New Question window for each question type click the Sigma button in the toolbar The Equation Editor dialog opens Right click to access the palettes Figure 3 M Enter symbolic math 6 Equation Editor Equation Editor Equation Editor MathML a lt a gt E Eee lal a la llall a 3 4 Downloading Questions To back up questions by downloading to your hard drive 1 From the Question Repository find the questions you wish to save 2 Se
120. r example time limit Click the listed assignment name to launch the assignment The following menu items are available from the Class Homepage Actions gt Class Info Add Child Class User Manager and Proctor Tools Content Manager gt Assignments Question Repository Course Modules and Web Site Editor Gradebook gt Open Add External Assign Help gt Instructor Other Help gt Proctor Other Help gt Student Getting Started and About e Logout 1 4 Creating a Class Both instructors and administrators have sufficient privileges to create unique new and empty classes or ones based on shared material Creating a new class 1 Start at the System Homepage 2 From the Actions menu select Administer Classes System Administrators only 3 From the Actions menu select Add Class 4 Complete the class registration form Detailed information on available fields is provided here Course ID Select a unique string of letters and or numbers as the Course ID Class Name Select a unique name for your class This name is displayed as the link to your Class Homepage The class name should be between 5 and 50 characters long It cannot contain the characters lt gt or amp Instructor Your name will be automatically entered in this field School Enter the name of your school Description URL Optional If you have created a web page with additional information for your class you can link to the p
121. rios for different types of assessment and learning Although the multipart mode is a question type its component question parts can be of any question type including multipart This allows nested multipart questions You must create the question parts in a separate topic and then create the multipart question that combines all the parts Multiple choice Multiple choice questions in the system can have any number of choices but there is only one correct answer You can add incorrect choices after questions are initially created You can deliver the question with the choices permuting or remaining static Multiple selection Multiple selection questions are similar to multiple choice questions The key difference is that they can contain more than one correct answer You can deliver the question with the choices permuting or 6 2 Enhancing questions 63 remaining static The grading for a multiple selection question is as follows with the exception that if the numerator is less than 0 it is set to 0 selected correct answers selected incorrect answers Total of correct answers Numeric The numeric question type compares a student s response to a given number with or without units You have the ability to set a tolerance in the answer that you will accept from a certain number of significant digits to a percentage Palette Palette questions enable you to use an Equation Editor to create your own customized
122. rough the LaTeX conversion feature and import the resulting question file into Maple T A See below for detailed instructions documentclass 12pt article usepackage ed set ImageBase web myfolder Public Html Images begin document begin topic Arithmetic Question 1 begin question Numeric name Addition 118 code a range 1 10 b range 1 10 qutext What is var a var b answer var var a var b end question Question 2 begin question Formula name Multiplication code a range 1 10 b range 1 10 qutext What is var a times var b answer var var a var b end question end topic end document Converting into a Maple T A Script Once you have written your question file you can process it with LaTeX to preview your questions Once you are satisfied with the content use the LaTeX to Maple T A conversion service to convert your LaTeX file into a Maple T A qu question file The converter is located at http latex2ta mapleserver com Figure 10 A LaTeX Conversion LaTeX to Maple T A Conversion Step 1 Select your LaTex file for upload to the server Press the Browse button to find the file on your computer Browse Optionally select a LaTeX style file to upload as well The system will only process style files that have names of the form xxx sty where XXX is 3 to 15 alphanumeric characters B
123. rowse Step 2 Press the button below to submit your file for processing Processing may take up to a minute 10 1 Writing Questions in LaTeX 119 In the first entry cell you may either enter the absolute path to your LaTeX file or click the first Browse button to choose the file by browsing your computer If you have a separate style file that you have used in your question file enter its path in the second entry cell or use the second Browse button You do not need to upload ed sty The converter always has the current release of the ed sty macros Click Send File to upload your files for processing A successful conversion will result in a screen similar to the following Figure 10 B Completed LaTeX Conversion LaTeX to Maple T A Conversion Conversion Successful Click to Download File Note Successful conversion from LaTeX to QU does not guarantee that your testbank will load into Maple T A correctly Please examine the contents of the box below for any additional errors that may be generated when your testbank is loaded into Maple T A Filename qu 0X A response of Ox indicates that there should be no problems uploading your converted testbank file to Maple T A Click the Click to Download File link to download the Maple T A qu file to your computer Then from Maple T A you can import the question bank to your class site If there is an error during conversion you will be shown the conver
124. rs 1 From the System Homepage click Actions and select Administer Users 2 From the Actions menu select Add User 3 Fill in the form 4 Click Submit 1 6 Registering Users in a Class Before the Gradebook can begin tracking student performance it must have students registered in the course You can register students in a class by e Using the User Manager Allowing students to register themselves for your course Creating and uploading a class roster To register students in your course they must have an account in the system Creating user accounts is usually done by the system administrator although the administrator can give instructors the ability to create user accounts In addition the system administrator can set up the system to allow students to create their own user accounts The User Manager You can select students to register in your class from a list of system users All the students you want to register must already have an account in the system You can search the list for a user that satisfies particular criteria 1 From the Class Homepage click Actions and select User Manager From the Actions menu select Register Users 2 Enter search criteria to narrow the list of users down or to search for a particular student 3 Select the checkbox beside the students you want to register in your class 4 Click Register 1 6 Registering Users in a Class 9 Student Self Registration Students can r
125. s Course Modules System Homepage Class Homepage Course Modules Actions Content Manager Gradebook Help New View Details Import Export Delete The following course modules are installed in your class m Course Module i Description E interval Questions ch 2007 08 10 E Demo Module QBs and Assignment for demos To share content using course modules first create a course module by choosing the items you want to include Once you have created the course module you can save the course module file zip to your computer and then send that file to other instructors To create a course module 1 Login as an instructor and click on the class that contains the content you want to share 2 Click Content Manager then Course Modules 3 Click New 4 Select the question banks assignments and web folders that you want included in the course module Click OK 5 Enter a name for the module Optionally enter a description for any of the items you have included in the module Click OK The course module now appears in the list of course modules for your class 14 To export a course module 1 8 Log in as an instructor and click on the class name that has the course module you want to export Click Content Manager then Course Modules Select the checkbox beside the course module you want to download and then click Export The following screen allows you to add URLs that y
126. s appearing in non displayed field parameters for example the answer to a question the variables ANSWER and RESPONSE default to 0 All others have the variable name passed 4 Assignments 4 1 Overview Assignments are created by selecting questions from the Question Repository The assignments you create can be organized such that Maple T A reorders questions generates questions or displays a subset of questions Each student viewing your assignment can potentially complete a unique set of questions The Assignment Editor allows you to create new assignments edit the content properties and appearance of existing assignments delete assignments and change the order of existing assignments Assignment Editor Main Menu From the Class Homepage click Content Manager and select Assignments From the Assignment Editor main window you can Click New to create a new assignment Reorganize the order of displayed assignments using the numbered list beside each assignment Open assignments for editing by clicking the assignment name link To activate other options hover your mouse over the assignment name Six option buttons are displayed e Edit assignments by clicking edit Copy assignments by clicking copy Delete assignments by clicking delete Hide show assignments from student view in the Class Homepage by clicking hide show 37 38 gt Print assignments Clicking the print link displays the pri
127. se valid Maple code to evaluate the answer Complete each line of code with a semicolon For information on Maple code refer to your Maple system documentation The grading code must evaluate to a Boolean value or a floating point number between 0 and 1 Use the long form name for all package commands for example VectorCalculus ArcLength Maplet applications are not presently accessible in Maple T A 30 Figure 3 J Question Editor Maple Graded Question i eee MapleTA Maple T A Demonstration Class Question Editor Maplesoft a gt L To L From the Question Type menu select Maple graded In the Question Description field enter Differentiation Click Next Enter the text of the question field ao F WwW N System Homepage Class Homepage Question Repository New Question Welcome Maple T A Administrator My Profile Questions Content Manager System Admin Help Logout Finish Enter the text for the question 2 E Source Ol BAIA EAB Uw Bi Tay Be Fon Size odoo g Differentiate singd x with respect to x Enter Maple code that evaluates to the correct answer The last line must evaluate to an expression that will be stored as the variable ANSWER The variable SANSWER will be available when formulating the grading syntax e g evalb ANSWER SRESPONSE 0 diff sin x x x Enter Maple code to grade the student response
128. simplify ANSWER SRESPONSE 0 The system stores the student response in the variable RESPONSE which you can use as a Maple variable anywhere inside your Maple code 8 1 A Basic Maple graded Question 91 Caution We strongly recommend that you test your Maple code in a Maple worksheet Frequently you will find that your first version of Maple code is inadequate to give credit for all correct answers In this example if we had just used evalb SANSWER RESPONSE 0 the system would only give credit for sec x tan x and reject all other responses even if they are algebraically equivalent to sec x tan x The reason is that evalb does not perform any simplification Figure 8 B The Maple grading Question and Answer screen Finish Enter the text for the question amp AiE ALB zu wl E mle BI Te Be Fon Size Compute the derivative of sect Enter Maple code that evaluates to the re The last line must evaluate to an expres wi a mut diff sec x x 7 ariable SANSWER The variable SANSWER R RESPONSE 0 Enter Ma ae note to grade the student response e te to a Boolean value true o utomatic ally initialized to the studeni floating point value between 0 and 1 The variable evalb simplify ANSWER RESPONSE 0 Select the type of expression you want to accept Formula e g x 2 sin x 2 v lt gt 9 From the drop down menu tit
129. sion log to help you identify the problem Sample qu File The file created by the conversion process is a Maple T A qu question file The text of the qu file created from the sample LaTeX file above is shown here Some authors prefer to create or edit qu files directly using a text editor We will explore the structure of qu files in the next chapter qu 1 topic Arithmetic qu 1 1 mode Numeric qu 1 1 name Addition qu 1 1l algorithm S a range 1 10 120 b range 1 10 qu 1 1 question lt p class noindent gt What is lt math xmlns http www w3 org 1998 Math MathML display inline gt lt mn gt a lt mn gt lt mo gt lt mo gt lt mn gt b lt mn gt lt math gt lt p gt qu 1 1 answer num a Sb qu 1 1 answer units qu 1 1 showUnits false qu 1 1 info qu 1 1 grading exact_value gu 1 2 mode Formula qu 1 2 name Multiplication qu 1 2 algorithm S a range 1 10 b range 1 10 qu 1 2 question lt p class noindent s gt What is lt math xmlns http www w3 org 1998 Math MathML display inline gt lt mn gt a lt mn gt lt mo gt amp times lt mo gt lt mn gt b lt mn gt lt math gt lt p gt qu 1 2 answer a Sb qu 1 2 info 10 2 Working with Algorithmic Variables One of Maple T A s key features is its support for algorithmic question generation Authors can write questions that use randomly generated values in different assignment attempts Refer
130. ssssessesssessssssssssesersressessssens 37 Warnings and Locking Mechanism ccccccccccececeesseeeeseseeeeeeeseees 38 Creating Assignments esesssesressercrieeseresssssresiecerreesesessssstevettesseeserssssesreset 39 Naming ASsignment eines e n e n a a ri iin 39 Selecting Questions eeseeessssssssseeserecreecsessssssseesreccseesssssssesseeeereesessssssseose 39 Individual Versus Grouped Questions cecceceessesseceeeeeeceeeeeeeenees 40 Settings Polieves a eso sh ps ae kate aan tes Seb sees A eN 40 ASSISn Ment Types onea a a A cocker t becessves a sa 42 HGS AC KE areno rena oia ee a laen a ea a e aa 45 Assignment Properties cccccccccccccccecesssesssseseceeeesecsscesesenssssaeeeeeeeeees 46 Advanced Policies saien n n TLLA E Ai aR 49 Reviewing and Saving Assignments ccccccccccssscceccescsesersessssseeeeeeeeeeeees 50 Special Cases cesictsieedivesideeewsesdasseacetsd ous loktahcaeesdochdeventede a ae 51 Deleting Assignments 0 ccccccceesssssecceccecececceeeessensssseseseeeeceeeseneeees 51 Shared Assignments Saving Your Changes ccccccesseesssnseeeeees 52 Grade book iicie ce co cece hii ieee dese Aides dette ade 53 OVER VIC We aa a a Te a ahah abd st Ea EAEAN a 53 Gradebook Views setier S ATEA N EAE E A E aa 53 Generating Reports ccecccesesssssecceceecececceseensssseceeeeeeeeseseeeetssstaeees 54 Sdent Statishies cg i erne E E EREE EE RNE REESE e T EEEE REA 55 Assignment Weighting 0
131. statistics overview 59 mastery assignment 44 merge questions 40 N naming assignments 39 new assignment 39 P proctors introduction 1 Q question repository introduction 1 questions selecting 39 S scramble questions 40 selecting questions 39 setting policies 40 student statistics add comments 57 assignment weighting 56 changing grades 56 overview 55 students class homepage 1 study session 44 system administrators introduction 1 system homepage 2 T types of assignments 42
132. style file for Maple T A question authoring Download this file from http www maplesoft com products mapleta latex2ta index aspx and place it in the same location as your other LaTeX style files A text editor e LaTeX installed on your system e Internet access 115 116 Authoring Process To author in LaTeX 1 Write your question in LaTeX using a text editor 2 Run LaTeX on your question file and preview the output to ensure it is correct You may perform multiple iterations of steps 1 and 2 3 Use the web based conversion service at http latex2ta mapleserver com to convert your LaTeX format question file to Maple T A qu format 4 Save the qu file when the conversion is complete 5 Import and save the question file in your Maple T A class LaTeX Document Structure The structure of the LaTeX file must be as follows Mandatory items are bolded Table 18 LaTeX Document Structure Code Description documentclass 12pt article Beginning of document usepackage ed The ed package is required setImageBase Location of the folder in Maple T A where your graphics will reside begin document Beginning of document begin topic topic name Beginning of topic Beginning of first question begin question question type end question End of first question begin question question type end question begin question question type Your document
133. t Otherwise if the random variable turns out to be negative Maple will generate a syntax error and every response will be marked wrong This is due to the fact that Maple is unable to parse statements like 5 2 When you are finished click Save to return to the New Question window Click Next to go to the Maple graded Question and Answer screen Enter the question text Find the equation of the plane that passes through lt 1 0 0 gt lt 0 1 0 gt and lt a b c gt Write your answer in the form Ax By Cz D 0 using lower case x y and z Enter the Maple code for calculating the correct answer n LinearAlgebra CrossProduct lt a b c gt lt 1 0 0 gt lt 0 1 0 gt lt 1 0 0 gt n 1 x 1 n 2 y n 3 z 0 Enter the Maple code for grading the student response evalb Ihs RESPONSE Ihs ANSWER or lhs RESPONSE 1 hs ANSWER 10 Set the expression type as Maple syntax e g diff 2 f x x because students will be entering an equation 8 2 A Randomized Question 95 Caution If this option is set to Formula e g x42 sin x the system will not parse the equal sign in the equation the student enters and will grade the response as incorrect Figure 8 E The question definition and Maple syntax to grade the response Finish Enter the text for the question jt B Souce D OI ee iA iE A Bz u aja x GE ce oe LS BI a W Fon See I BAD six Find the equation of the plan
134. t least one alphabetical character Email addresses must be unique Student IDs must be unique Student ID must be at least five alphanumeric characters Password must be at least five alphanumeric characters If no password is provided the system generates one which is displayed on the next page You can print or save this page If it is not printed or saved the automatically generated login and passwords will be lost Role can be Administrator Instructor Proctor or Student The role specified cannot exceed the level of the user who is creating the roster The default is Student Validate is a yes no field and determines whether students have to review their data on first login and validate it The default setting is yes If you have a null field for example a student did not provide a middle initial use two consecutive delimiters Note If the header row includes Email and Student ID you cannot have empty values for those fields in the rows of student data If there are some students who do not have either an email or a student ID you should use the value lt Null gt Uploading a Roster You upload a user roster from the System Homepage This will register users in the system 1 From the Actions menu select Roster and then Import From the System Homepage click Actions and select Administer Users To locate your class roster click Browse Navigate to the file and click Open From the drop down m
135. t with respect to the cumulative grade for the class Enter the weighting for each assignment with the total for all assignments equal to 100 You can Lock individual assignments to prevent their weighting from being adjusted Additionally you can change the total points of the assignment If for example one question was clearly too difficult in comparison to the rest of the assignment you can override the total points making the assignment out of 9 instead of 10 points The Zero button sets all weightings to 0 and the Reset button resets the weightings to the original settings Changing Grades From a generated report you can change a student s grade You may change a student s grade for several reasons The system does not automatically grade essay questions so you must enter a grade for any essay questions included in your assignment You might choose to raise a student s grade based on effort improvement or other subjective measures You might choose to apply a curve based on the performance of the entire class 5 3 Student Statistics 57 Figure 5 C Student Record Results for Anna Roberts v Anna Roberts Login aroberts Email aroberts maplesoft com Student ID 94109910 Assignments completed 4 Assignments active 0 Algebra Class best score 28 Class Attempts 13 Total Points Available 32 Assignment Name Score Start End Duration Algebra Details 22 8 7 07 2 20PM
136. tails page select the checkbox beside Featured Class Click Submit rn oF WO WD Propagation of Material from Featured to Child Classes The relationship between featured and child classes allows for quick and easy propagation of material while still allowing certain features within the child classes to be customized Details of this relationship are as follows When an assignment is created in a featured class all child classes will receive only a copy of all assignment attributes names policies restrictions etc The content of the assignment will not be copied to the child classes instead inherited assignments will point to one copy of the assignment content stored in the featured class All changes made to the assignment content in the featured class will be immediately visible in all child classes All changes made to the assignment attributes names policies etc in the featured class will not be propagated to child classes allowing them to have their own customized set of attributes 2 4 Featured Classes 17 Instructors of child classes will be allowed to modify all attributes of the inherited assignments but will not be able to modify assignment content If instructors of child classes wish to customize the content of an inherited assignment they will have to make their own copy of the assignment 18 3 Question Repository 3 1 Overview The Question Repository is used to create organize and se
137. ter or remotely through the Proctor Tools menu In both cases the proctor must sign in by giving a login name and password To give authorization remotely 44 the proctor must login select the class and from the Actions menu select Proctor Tools Anonymous Practice assignments are similar to Homework or Quiz assignments however the students results are not recorded Any number of questions can be included and the assignment is delivered in an instructor specified sequence or scrambled Graded assignment reports are produced upon conclusion of the assignment but results are not recorded in the Gradebook Students can view their results at the end of the session no permanent record is maintained Results can be printed but are only available for as long as a student displays them Study Session assignments usually draw from a large pool of assignment material often algorithmically generated to produce limitless question permutations The instructor chooses the questions to include but these assignments are delivered one question at a time and the student submits each question for grading individually and immediately instead of having the entire test graded at the end For Study Sessions students control the study process by practicing question after question You can provide hints and full solutions for questions to students while they work Results are displayed one question at a time and are not recorded in the Gradebook
138. th a number of hot spots Students are required to identify the correct image element by clicking the appropriate hot spot Essay An essay question provides a text region for the student to enter their response It is not automatically graded by the system Student responses are sent to you the instructor who scores them traditionally and assigns a grade in the system Gradebook No answer or feedback is available to the student Formula The formula question allows instructors to compare student results to a specified answer It has several variants that can be accessed as a drop down menu in the formula question creation screen Formula mod C accept answers within an additive constant Formula with physical units requires units as well as a numeric value List ordered or unordered accept answers as lists of values Restricted the correct answer only uses basic operations Equation the correct answer contains an equal sign Chemistry the correct answer must match the given formula 61 62 gt Question Designer The Question Designer is a powerful and flexible question container that can hold multiple response areas i1 e answer regions supporting various question types including formula Maple graded numeric multiple choice multiple selection essay and list types all in a single question Note The Question Designer supersedes the Inline question type Key words Key word or key phrase q
139. th choice box 10 Select the radio button beside ans to mark this as the correct answer 11 Select Yes for Change the order of answers Select No for Allow more than one selection 7 3 Examples of Randomization Functions in Maple T A 79 12 Click Finish The Question Editor gt Preview Question window opens displaying the question as it appears to the student Figure 7 B One of the features of Maple T A is the ability to define inline algorithmic expressions directly in questions by using the format expression Text of the question E Source L LA Ac Al Bz y a n i El EEA Ta Oye Font Anal Size JG BAO alr Whatis a b Click on the box bes Choices for the answers id an answer to mark it as correct s a Sb Calculating Area In this example we use a numeric question and ask the student to calculate the area of a rectangle given two algorithmically generated values for the width and length This example shows that you can combine commands such as decimal x n and rand m n We ve also added a condition on the variables width and length so that they will not be equal To create the question 1 In the New Question window select the Numeric question type from the Question Type drop down list 2 Enter Area as a description in the Question Description field 3 In the Algorithm section click Add The Edit Algorithm window opens 4 Enter the following code in the text box
140. the Gradebook 1 In the Search Panel select the assignment s to include in the report To include more than one assignment press the CTRL key and click the assignments To include all assignments select All Specify the search criteria from the following options Assignment Type To specify a single type of assignment from Proctored Homework Quiz Mastery and External Show Results To display results for example best or most recent Completed In Progress To display only Completed In Progress or To Be Reviewed assignments Date Range To specify date range Assignments completed within that date range will be included in the report In the View Panel select the data to include in the report from the following options 5 3 Student Statistics 55 Assignment To display the date and time the assignment was started and finished the time required to complete and the number of attempts Student To display student information such as first and last name middle initial login and password email address and student ID Grade Style To indicate presentation style for the grade View Results for To display statistics for student proctors or instructors multiple items can be selected simultaneously e List To display all users or only users with grades Summary Data To display the weightings information number of attempts and average number of attempts total number of poin
141. the list of all class assignments Assignment Status Consider the following information regarding your assignment status If you have scheduled the assignment for immediate availability your new assignment is available for students in the Class Homepage The system does not save partially completed assignments until you click Finish in the Review amp Finish tab of the Assignment Editor If you begin to create an assignment and then abandon it without clicking Finish your additions and changes are lost If you need to leave the Assignment Editor without finishing the assignment it is recommended that you mark the assignment as hidden so that students cannot access it Hide assignments from student view in the Class Homepage by hovering the mouse over the assignment name in the class assignment list and then clicking hide Ifthe server shuts down before you click the Finish button your editing changes will be lost When the server restarts it uses the last saved version of your assignment data To reduce the risk of this during long assignment editing sessions it is recommended that you periodically click the Finish button then select your assignment from the main Assignment Editor list of assignments to start a new editing session 4 7 Special Cases Deleting Assignments You can select and delete assignments in the main Assignment Editor window If there are grades associated with an assignment and you rename 52 or d
142. tion of largest x coordiante gt lt param name yMin value position of smallest y coordinate gt lt param name yMax value position of largest y coordinate gt lt param name gridLines value number of gridlines gt lt applet gt lt div gt 4 Modify the applet code to reflect the actual function plot window and number of gridlines 9 2 Java Applets in Maple T A Questions 109 Example Consider the following question which uses the graphing applet to display a plot of the function y x 1 x 3 x 5 Figure 9 B The graph of y x 1 x 3 x 5 generated with the graphing applet What are the x intercepts of the graph shown Here is the applet code for this example lt div align center gt lt applet height 400 archive graphing jar width 400 code applets grapher Graph gt lt param name y1 value x 1 x 3 x 5 gt lt param name xMin value 0 gt lt param name xMax value 6 gt lt param name yMin value 6 gt lt param name yMax value 6 gt lt param name gridLines value 12 gt lt applet gt lt div gt 110 9 3 Flash Question Type With Maple T A s Flash question type you can create a Flash movie and integrate it into a Maple T A question which grades students directly on their interaction with the movie Students use the mouse and or keyboard to alter the movie or identify hot spots in the movie in order to produce the correct answer For
143. tors and instructors that have create privileges can add users to the system Users can be created from a roster to add a large number of users at once or individually The system administrator can set up the system to allow students to create user accounts for themselves but you have more control and the data will be more consistent if user accounts are created by a few chosen individuals User Rosters User rosters are a convenient method to add a large number of users at once Rosters are easily created and updated Large numbers of users can also be removed using batch removal Creating a Roster The user roster must be a comma separated file for example csv or tab separated file for example tsv that has one line for each user The first line must be a header row that specifies the data contained in each column The headers can be in any order to make it easy to match your existing format The acceptable fields in the roster are as follows Login First Name Middle Initial Last Name Email Address Student ID Password Role Require User Validation The corresponding header row values for these are as follows login first initial last email student password role validate The fields that are underlined are required Login must be at least one alphanumeric character First Name must be at least one alphabetical character Middle Initial must be no more than one alphabetical character Last Name must be a
144. ts and average score 4 Click Submit to generate the report 5 3 Student Statistics Figure 5 B Student Statistics Item statistics Students Instructors Proctors Algebra Average Score 3 67 Total Points 32 Roberts Anna Van Schepan Craig Jarger Rob Shaw Catherine Redman Simon 8 fo Ri ee 3 pa a PRR RRR RRR BRR RR RRR EE Bishop Nicole Export options CSV Excel XML From the generated report you can view a student record report change the weighting for assignments and change grades To view a student record report click on the first or last name of a student in your generated report The student record report contains the following details about the student login email student ID number of completed assignments and number of active assignments The student s best and average scores are displayed for each assignment as well as the number of attempts The overall class best score average score and number of attempts 56 gt are displayed for comparison purposes as well as the total points for the assignment Additional information about each assignment session is displayed start and end time and date and duration Assignment Weighting To set weightings for each assignment generate a report with the Weightings option selected and then click the Weighting link in the report You can set weighting for each assignmen
145. tween 9 and 10 Again we use MathML ExportPresentation to generate a nicely formatted version for display To create the question 1 Click Questions then New Question to create a new question The New Question window opens From the Question Type drop down menu select Maple graded In the Question Description field enter Determinant In the Algorithm section click Add The Edit Algorithm window opens Enter the following code in the text box n int rand 2 4 a A WwW N 7 5 Examples of Randomization Functions in Maple 87 matrix maple randomize LinearAlgebra RandomMatrix n n gen erator rand 9 10 m maple printf MathML ExportPresentation matrix 6 Click Save You return to the New Question window 7 Click Next The Question Editor gt Add Question window opens 8 In the Text of the question field enter the following Calculate the determinant of the following matrix m 9 Enter Maple code that evaluates to the correct answer LinearAlgebra Determinant matrix 10 The following Maple code to grade the student response is provided automatically evalb ANSWER RESPONSE 0 11 In the Select the type of expression you want to accept drop down list choose Formula e g x 2 sin x 2 12 Click Finish Figure 7 D Two Maple commands are being used one to create the matrix construct and one to generate a nicely formatted version for display Vartable Value
146. u x y mode Formula Mod C Customized symbolic palette qu x y mode palette Equation qu x y mode Equation Essay qu x y mode Essay Formula qu x y mode Formula Formula with physical units qu x y mode Dimensioned formula Inline qu x y mode Inline Key words qu x y mode Key Words List qu x y mode List Maple graded qu x y mode Maple Matching qu x y mode Matching Matrices with numeric formula entries qu x y mode Matrix Multipart qu x y mode Multipart Multipart formula qu x y mode Multipart Formula 130 Table 29 Values of Mode Elements Question Type qu x y mode lt question_type gt Multiple choice qu x y mode Multiple Choice Multiple selection qu x y mode Multiple selection Non permuting multiple choice qu x y mode Non Permuting Multiple Choice Non permuting multiple selection qu x y mode Non Permuting Multiple Selection Numeric with or without units qu x y mode Numeric Ordered list of formulas Restricted formula qu x y mode Formula List qu x y mode Restricted Formula Short phrase True or false qu x y mode Short phrase qu x y mode True False Unordered list of formulas Vector qu x y mode Multi Formula qu x y mode Ntuple 11 3 Question Fields Following are descriptions Maple T A question fields Table 30 Maple T A Question Fields
147. udent s response This allows students to visually check their response before proceeding To plot the student s response 1 2 Click Edit and then Next The Question Editor gt Edit Question gt Maple Graded window opens Scroll to the bottom of the question Using a standard plot command in Maple enter the student s response as well as the derivative of the question If the student is correct the plot region will display a plot with a single curve In the Plotting field enter plot SRESPONSE diff sin x x x x 10 10 RESPONSE is a system variable that corresponds to the student s response Scroll to the top of the screen and click Finish 4 Test the question by entering a response and selecting the Plot link The plot is displayed in a separate window Inserting a Maple Plot in the Question Feedback You can also insert a Maple generated plot in the question text hints or feedback of any type of question To insert a Maple plot as an algorithmic variable 1 Click Edit to edit the current question 32 gt 2 Click the Add button in the Algorithm section Algorithm Add There is no algorithm 3 Enter the following plot1 plotmaple plot sin x x x 10 10 4 Click Save You can use the algorithmic variable plot1 to display the Maple plot in all question types anywhere algorithmic variables can be used that is in the question text hints and feedback 5 Click the Add button
148. uestions search the student s response for specified key words or phrases but ignore other text This question type is not supported by the Question Editor List List questions are a type of free response question They present the student with a question and response object in which to enter their response The response object can either be a text region or a drop down menu of choices With list questions you have the ability to give partial credit to certain answers Maple graded The Maple graded question type uses the Maple computer algebra system to generate algorithmic variables in questions generate plots and evaluate student responses The Maple graded question type gives you access to the computational power of Maple You have access to many different kinds of mathematical objects not just simple expressions The Maple graded question type allows for questions with complicated answers questions with different possible answers and questions requiring a powerful answer equivalence checker You can even find common errors and assign partial grades Matching Matching questions display two lists A student must match each element of the first list with an element in the second list Matching question types allow only 1 to 1 matches in the correct answer Matches of 1 element to many are not available in the system Multipart A multipart question can contain a variety of related question materials data even case scena
149. will add students into the Maple T A system but you will still need to register the students into a course 10 2 Sharing Content Sharing content is an important part of using a system like Maple T A effectively Sharing content makes a wider range of questions and assignments available to all users You can share questions assignments and resources in a variety of ways from choosing specific content to providing access to all the content in a class 2 1 Sharing Questions Questions are owned by a class The creator of a question becomes the default owner of the question Questions can only be modified by the owner Child classes automatically inherit questions from their ancestors Instructors can obtain question material for their groups in one of three ways 1 Create a question The instructor becomes the owner of this question 2 Inherit a public question from an ancestor class Instructors can use the question in their assignments but cannot modify the question Only the original owner creator of the question will be able to modify the question and those changes will be automatically propagated to all subscribers question groups This is similar to the Question Bank inheritance rules in Maple T A 4 0 3 Shadow a public question from another class Instructors can use the question in their assignments but cannot modify the question Only the original owner creator of the question will be able to modify the question
150. ystem administrator has created a class for you your class will be listed under the Classes Am Instructing section on your system homepage You can click on the class name to navigate to the Class Homepage If your system administrator has not created a class for you you can create a class 1 3 The Class Homepage 3 1 3 The Class Homepage Instructors access the Class Homepage to Create and edit questions Create publish and manage assignments Access a gradebook that records student work and assignment results Figure 1 A Class Homepage MapleTA Math 137 Class Homepage J Manlesort System Homepage Class Homepage Welcome Adam Brodie My Profile Actions Content Manager Gradebook Help Logout Math 137 Maplesoft University Adam Brodie abrodie maplesoft com Select the link for an assignment to begin Assignment Name Points Type Availability Assignment 21 0 Homework Quiz Unlimited Demonstration of the Maple graded Question Type 25 0 Practice Unlimited Demonstration of Question Types 63 0 Practice Unlimited From the System Homepage click the link to your class to open the Class Homepage The Class Homepage displays the class and instructor name and the list of assignments quizzes and tests that you have posted The assignment list displays the name and type of assignment associated points availability that is scheduled dates and times and specific policies in the assignment fo
151. ystem administrator must have an SMTP server configured Assignment Properties In the Assignment Properties section you can set the following information e Passing score Time limit Number of questions on a page Maximum number of times an assignment may be taken Scheduling e Visibility 4 5 Setting Policies 47 Figure 4 D Assignment Properties Assignment Properties Passing score out of 25 0 Edit feedback messages Ifyou have set a passing score the defined feedback will be displayed to the student lf the final grade is shown 7 Time limit minutes Questions per page 1 Max attempts allowed es Scheduling Greenwich Mean Time I Start l clear I End E o clear Visibility M visible Assignment is visible to students when this boxis checked Setting a Passing Score You can set a passing score for the assignment If you set a score the system assesses each attempt as either Pass or Fail and records this information in the Gradebook automatically The field shows the total available score for the assignment for example out of 10 which varies according to the composition of your assignment You can customize the message students receive by clicking the Edit feedback messages link and modifying the default messages You can use the drop down menu to specify when to display the feedback Always Never or If the final grade is shown Setting a Time Limit You can set a ti

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