Scaffolding1

Sequentially Revealed (Scaffolded) Problems

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This PG code shows how to create multi-part questions that hide from students parts that have not yet been answered correct.

• File location in OPL: FortLewis/Authoring/Templates/Misc/Scaffolding1.pg

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PG problem file	Explanation
Problem tagging data	Problem tagging:
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "compoundProblem5.pl", "PGcourse.pl", ); TEXT(beginproblem()); $showPartialCorrectAnswers = 1; $scaffold = Scaffold(); INITIALIZE_SCAFFOLD('$scaffold'); $isInstructor = 0; # = 0 when students use it TEXT(MODES( HTML=>'Clicking on a section opens it provided that you have answered previous sections correctly.', TeX=>''));	Initialization: Use the compoundProblem5.pl macro to provide scaffolding (this macro may be renamed to Scaffolding.pl or sequentiallyRevealed.pl in the future). We initialize the scaffolding with the name $scaffold. Set $isInstructor = 0; when the problem is available to students, or set to 1 when debugging. Alternatively, we could set $isInstructor = ($envir{effectivePermissionLevel} >= $envir{ALWAYS_SHOW_SOLUTION_PERMISSION_LEVEL}); to ensure that only users that always have permission to show correct answers can open all of the sections of the scaffolding without needing to enter correct answers.
Context("Numeric"); $answer1a = Compute(11); $answer1b = Compute(12); Context()->texStrings; DISPLAY_SECTION({ section=>1, name=>"1: Antiquated ideas (a descriptive title)", canshow =>1, iscorrect=>$scaffold->requireCorrect(1,2), } , <<'END_SECTION'); Continue the pattern: 7, 8, 9, 10, \{SECTION_ANS($answer1a->cmp), $answer1a->ans_rule(3) \}, \{SECTION_ANS($answer1b->cmp), $answer1b->ans_rule(3)\}. END_SECTION SECTION_SOLUTION({section=>1},<<'END_SOLUTION'); $PAR Put some text here for the solution to section 1. END_SOLUTION Context()->normalStrings;	Section 1: Use DISPLAY_SECTION to set the parameters for the first section. Use section=>1 to set the section number. Use name=>"1: Descriptive title" to give a title for the section. Since the first section should always be available to students, we set canshow=>1. Use iscorrect=>$scaffold->requireCorrect(1,2) to specify that this section will be marked all correct when the answers in answer boxes 1 and 2 are both correct. The text that gets displayed to students starts at "Continue..." Use SECTION_ANS() to record the correct weighted score into the grade book (i.e., database of scores). Note that we use SECTION_ANS($answer->cmp) before $answer->ans_rule(width), which is a bit different from how things are usually done. It is also possible to provide a solution for each section.
Context('Matrix'); $M = Matrix([[1,2],[3,4]]); $v = Matrix([[5],[6]]); $answer2 = $M * $v; Context()->texStrings; DISPLAY_SECTION( { section=>2, name=>"2: Bungling", canshow =>$scaffold->requireCorrect(1,2). " or $isInstructor", iscorrect=>$scaffold->requireCorrect(3), }, <<'END_SECTION'); \( $M $v = \) \{SECTION_ANS($answer2->cmp()), $answer2->ans_array()\} END_SECTION SECTION_SOLUTION({section=>2},<<'END_SOLUTION'); Put solution text here. END_SOLUTION Context()->normalStrings;	Section 2: For kicks, we change to the matrix context. Use canshow =>$scaffold->requireCorrect(1,2). " or $isInstructor" to specify that this section (section 2) can be revealed if answer boxes 1 and 2 are both correct (from section 1) or if the permission level of the user is high enough. Use iscorrect=>$scaffold->requireCorrect(3) to specify that this section (section 2) will be marked correct when the third answer (the entire matrix) is marked correct. We used $answer->ans_array(width) to generate an array of answer boxes with the same size as the correct answer that are treated as a single entity when grading.
$answer3a = Compute("NONE"); $answer3b = Compute("DNE"); Context()->texStrings; DISPLAY_SECTION({ section=>3, name=>"3: False concepts", canshow =>$scaffold->requireCorrect(3). " or $isInstructor", iscorrect=>$scaffold->requireCorrect(4,5), }, <<'END_SECTION'); Enter ${BTT}NONE${ETT}: \{SECTION_ANS($answer3a->cmp), $answer3a->ans_rule(10)\} $BR Enter ${BTT}DNE${ETT}: \{SECTION_ANS($answer3b->cmp), $answer3b->ans_rule(10) \}. END_SECTION SECTION_SOLUTION({section=>3},<<'END_SOLUTION'); Solution text goes here. END_SOLUTION Context()->normalStrings;	Section 3: Same syntax as before. Since the third section is revealed only after the section section is correct, we can use canshow =>$scaffold->requireCorrect(3) to specify that this section (section 3) will be revealed only when answer blank 3 (the matrix from section 2) is correct. This section will be marked correct only when answer boxes 4 and 5 are both correct, as specified by iscorrect=>$scaffold->requireCorrect(4,5).
foreach my $i (1..5) { $answer4[$i] = Compute($i); } Context()->texStrings; DISPLAY_SECTION({ section=>4, name=>"4: Superstition", canshow =>$scaffold->requireCorrect(5). " or $isInstructor", iscorrect=>$scaffold->requireCorrect(6..10), }, <<'END_SECTION'); Enter 1, 2, 3, 4, 5: \{$answer4[1]->ans_rule(3)\}, \{$answer4[2]->ans_rule(3)\}, \{$answer4[3]->ans_rule(3)\}, \{$answer4[4]->ans_rule(3)\}, \{$answer4[5]->ans_rule(3)\}. END_SECTION foreach my $i (1..5) { SECTION_ANS($answer4[$i]->cmp) } SECTION_SOLUTION({section=>4},<<'END_SOLUTION'); It's a little known fact that antiquated ideas, bungling, false concepts, and superstition are the labels on the file drawers inside of Donald Duck's brain in the movie Donald Duck in Mathmagic Land. END_SOLUTION Context()->normalStrings;	Section 4: We use for loops to deal with the five answers and answer checkers in this section. Note that in the code we have pulled the SECTION_ANS() commands away from the ans_rule(width) answer boxes, which is to say that we're using the "standard approach" to formatting our code, which helps us use the for loops. The solution gives an answer to the question, "Where did the section titles come from?"

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