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Use of Canvas Elements in Maple Library Commands

 

In this page we will highlight a few of the commands that generate a Canvas suitable for use in both Maple and Maple Learn.

 

SolvePractice

PracticeSheet

Steps

Quiz

Next Steps

SolvePractice

The SolvePractice command generates a canvas with SolveFeedback as the command behind the button.

 

> 

with(Grading):

> 

SolvePractice(2*x + 3 = 4*x - 5, x);

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The canvas structure can be extracted directly by using the 'output'='canvas' option.  

> 

cv := SolvePractice(2*x + 3 = 4*x - 5, x, 'output' = 'canvas'):

> 

DocumentTools:-Canvas:-ShowCanvas(cv);

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 You can also specify 'output'='link' to create a shared Maple Learn Document.

> 

SolvePractice(2*x + 3 = 4*x - 5, x, 'output' = 'link'):

https://learn.maplesoft.com/#/?d=FGLRANBJJNLUKIKNEPJPKOEKJKBNEUDHEOLIERCQEINRDFORJNOTFRFUCODQDFHTOOMJOSHOOUJLDHGOFMHQFILTHJDJOHBKJPIQ

 

PracticeSheet

The PracticeSheet command allows for automatic pattern-based generation of many problems on a single sheet.  

> 

with(Student:-Basics):

> 

cv := Student:-Basics:-PracticeSheet("integer/integer(range=2..5)+integer/integer(range=2..5)",
 title = "Addition of Fractions",
 message = "Add and reduce each expression",
 output = canvas);

> 

with(DocumentTools:-Canvas):

> 

ShowCanvas(cv, entrybox = false);

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

> 

ShareCanvas(cv);

https://learn.maplesoft.com/#/?d=PGLIIMPNIKAMFHKPJSNIJHCGHUEKATBTNHCUOIJHEMKIFFHSLPFSJSONBKEKKNHUNQDPAPPSKLASHLJHPMMPDKAJEMNMGGAGBNMM

 

Steps

Maple has many algorithms for showing step-by-step methods explaining how to simplify, solve, integrate, etc.  These solution steps can be generated as a canvas.

   

> 

Student:-LinearAlgebra:-DeterminantSteps( <1,2,4; 3, 4, 5; 5,6,7> );

•Let's find the determinant124345567•Use cofactor expansion on the3by3matrix•Find the determinant of the 2 by 2 matrices by multiplying the diagonals•Evaluate inside the brackets•Multiply•Evaluate−2

(3.1)
> 

Student:-LinearAlgebra:-DeterminantSteps( <1,2,4; 3, 4, 5; 5,6,7>, 'output'='link' );

https://learn.maplesoft.com/#/?d=MSEOMPIUNLBQLSANIOCMKJIGCNLSGRPLJKBGMTCNGOCSGLHTNQFKKPJPMULFORMJPQATEGPRATDSNGJTLNKRJLDOIRHNLSEJCJOJ

 

Create Your Own Steps Output

All of the Steps routines generate a series of records with math and annotations, and possibly one level of sub-steps.  These are processed by the OutputStepsRecord command.  Here is an example of a record with math, annotations, and substeps:
   

> 

steps := [
  Record(math=<2*x+5*y=19,x-2*y=-4>,annotation="solve system"),
  Record(math=(x=2*y-4),annotation="solve equation 2 for x",
         substeps=[
             Record(math=(x-2*y=-4),annotation="equation 2"),
             Record(math=(x=-4+2*y),annotation=_MTEXT("add %1 to both sides",2*y))
         ]
  ),
  Record(math=(y=3),annotation="substitute value of x into equation 1 and solve",
         substeps=[
             Record(math=(2*x+5*y=19),annotation="equation 1"),
             Record(math=(2 %* (2*y-4)+5*y=19),annotation="sub in value for x"),
             Record(math=(4 %* y-8+5 %* y=19),annotation="expand"),
             Record(math=(9*y-8=19),annotation="collect"),
             Record(math=(9*y=27),annotation="add 8 to both sides"),
             Record(math=(y=3),annotation="divide both sides by 9")
         ]
  ),
  Record(math=(x=2 %* (3)-4),annotation=_MTEXT("substitute %1 into %2",y=3,x=2*y-4)),
  Record(math=(x=2),annotation="simplify"),
  Record(math=<x=2,y=3>,annotation="solution")
]:

> 

Student:-Basics:-OutputStepsRecord(steps);

> 

cv := Student:-Basics:-OutputStepsRecord(steps,output=canvas):

> 

DocumentTools:-Canvas:-ShareCanvas(cv);


The OutputStepsRecord command allows for different 'displaystyle' options.

> 

rec := Student:-Calculus1:-ShowSolution( Int(  x*sin(x), x ), output=record ):

> 

Student:-Basics:-OutputStepsRecord( rec, displaystyle=columns );

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This example generates a link to Maple Learn with animated steps:

> 

Student:-Basics:-OutputStepsRecord( rec, displaystyle=columns, animated=true, output=link );

https://learn.maplesoft.com/#/?d=OIBPKQNPNFARDJCMIQOMFLCPIJAKHTFTBQNSEJEQAJEKFFGRDIHGKRBFIJLTGSFLIFLREOELJSMGJNFGBULOCFEILKMGOHOHHGPM

Quiz

The Quiz command lets you create a variety of question types with options for custom grading procedures, feedback, and try-another generation.  Here are some samples:

True or False

> 

with(Grading): with(DocumentTools:-Canvas):

> 

cv := Quiz("Is 1 + 1 = 2? ", true, 'style' = truefalse, output=canvas):

> 

ShowCanvas(cv, entrybox=false);

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

> 

ShareCanvas(cv);

https://learn.maplesoft.com/#/?d=MNFHGFLQNPNIMOJNLFHOPGFQMKEPHLHNAHOUORFNHSOQAFJQNMNPDNDLOGNJIMPMITPSIKHGDRBPHLELEMGLCTKTLGGONSJOEKKH

 

Multiple Choice and Multiple Select

> 

cv := Quiz("Which of the following could be portions of the plot of sin(x)?", {1, 2}, [plot(sin(x), x = 0 .. rand(2 .. 3)()), plot(sin(x), x = rand(2 .. 3)() .. 5), plot(2*sin(x), x = rand(2 .. 3)() .. rand(4 .. 7)())], style = multipleselect, gradebyindex = true, size = [250, 150], output=canvas):

> 

ShowCanvas(cv, entrybox=false);

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

> 

ShareCanvas(cv);

https://learn.maplesoft.com/#/?d=ESMLJOEIKSPGKFPKOJDNJNJRFOFIDTINCJLPMKKLESNUCOFMMNKLKUGHMQDIOTPUBPMUNRGKBRPFCPJOEQOMHGOOHMBPNHNONLNO

> 

 

Free-Form Entry Box

> 

cv := Quiz("Factor the expression completely:",
  proc(Resp, Ans) evalb(factor(Ans) = Resp); end proc,
  proc() local r; r := rand(1 .. 3)(); expand( r()*x*(r()*x + r())*(r()*x + r())); end proc, output=canvas):

> 

ShowCanvas(cv,'entrybox'=false);

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

> 

ShareCanvas(cv);

https://learn.maplesoft.com/#/?d=MSPRDNNOOJASPPLIBJMKPGGPPILQALPMEHAHENIGEFATIQCPNFARDMAGONKOJJILAGDQGLCOHJDFKUNODKJSCLFOLKAPJMCODSHI

 

See the BinomiaQuiz example for a more in-depth sample with feedback and algorithmic variables.

 

 

Next Steps

Inspect and Annotate Math on a Canvas

Return to DocumentTools[Canvas] Overview Page