Difference between revisions of "MultipleSelectProblems"

From WeBWorK_wiki
Jump to navigation Jump to search
m
(link to forum thread with method to give partial credit)
(24 intermediate revisions by 3 users not shown)
Line 6: Line 6:
   
 
<p>
 
<p>
Note that in this example we use old-style checkbox multiple choice answer objects. The new-style MathObjects do not yet have a checkbox multiple choice answer object yet.
+
Note that in this example we use old-style checkbox multiple choice answer objects. The new-style MathObjects do not yet have a checkbox multiple choice answer object.
 
</p>
 
</p>
   
Line 24: Line 24:
   
 
loadMacros(
 
loadMacros(
"PG.pl",
+
"PGstandard.pl",
"PGbasicmacros.pl",
 
 
"PGchoicemacros.pl",
 
"PGchoicemacros.pl",
"PGanswermacros.pl",
 
 
"PGcourse.pl",
 
"PGcourse.pl",
 
);
 
);
Line 35: Line 34:
 
<td style="background-color:#ccffcc;padding:7px;">
 
<td style="background-color:#ccffcc;padding:7px;">
 
<p>
 
<p>
Initialization: We must load <code>PGchoicemacros.pl</code> and <code>PGanswermacros.pl</code>.
+
<b>Initialization:</b> We must load <code>PGchoicemacros.pl</code> and <code>PGanswermacros.pl</code>.
 
</p>
 
</p>
 
</td>
 
</td>
Line 42: Line 41:
 
<td style="background-color:#ffffdd;border:black 1px dashed;">
 
<td style="background-color:#ffffdd;border:black 1px dashed;">
 
<pre>
 
<pre>
# Make a new checkbox multiple choice
 
  +
$mc = new_checkbox_multiple_choice();
$cmc = new_checkbox_multiple_choice();
 
  +
$mc -> qa (
# $cmc now "contains" the checkbox multiple choice object.
 
  +
"Select all expressions that are equivalent to
 
  +
\( e^{x^2 + 1/x} \). There may be more than
# Insert a question and matching answers in the q/a list
 
  +
one correct answer.",
$cmc -> qa (
 
  +
"\( e^{x^2} e^{1/x} \)$BR",
"Please select all expressions that are equivalent to \(e^{x^2 + 1/x}\).", # question
 
  +
"\( e^{x^2} e^{x^{-1}} \)$BR",
"\( e^{x^2} e^{1/x} \)", # a correct answer
+
"\( e^{ (x^3+1) / x } \)$BR",
"\( e^{x^2} e^{x^{-1}} \)", # another correct answer
 
"\( e^{ (x^3+1) / x } \)", # Use " ... " to enter a string and \( \) for math
 
# "All of the above",
 
# "None of the above",
 
 
);
 
);
# If the only correct answer is "All of the above"
 
  +
$mc -> extra(
# or "None of the above", uncomment the
 
  +
"\( \displaystyle \frac{ e^{x^2} }{ e^x } \)$BR",
# "All of the above" or "None of the above" string
 
  +
"\( e^{x^2} + e^{1/x} \)$BR",
# above and remove all other correct answers from the list
 
 
 
# Insert some incorrect answers
 
$cmc -> extra(
 
"\( e^{ (x^2+1) / x } \)",
 
"\( e^{x^2} e^{-x} \)",
 
"\( e^{x^2} e^{-x} \)",
 
"\( \displaystyle \frac{ e^{x^2} }{ e^x } \)",
 
"\( e^{x^2} + e^{1/x} \)",
 
"\( e^{x^2} + e^{-x} \)",
 
 
);
 
);
 
  +
$mc -> makeLast("None of the above");
# The next line can be uncommented.
 
# $cmc->makeLast("All of the above");
 
 
# Note that unlike match lists and select lists, you cannot call qa() again
 
 
</pre>
 
</pre>
 
</td>
 
</td>
 
<td style="background-color:#ffffcc;padding:7px;">
 
<td style="background-color:#ffffcc;padding:7px;">
 
<p>
 
<p>
Setup: Create a new checkbox multiple choice object with <code>new_checkbox_multiple_choice</code>, and then store the question and correct answer with the <code>qa</code> method. Other answers are specified as a list of arguments to the <code>extra</code> method. To force an answer (either a new extra answer, or the correct answer) to appear last in the list of options, use the <code>makeLast</code> method. All other answers will be scrambled when the multiple choice problem is shown to students.
 
  +
<b>Setup:</b>
  +
Create a new checkbox multiple choice object named <code>$mc</code> with <code>$mc->new_checkbox_multiple_choice();</code>.
  +
</p>
  +
<p>
  +
Use the question and answer method <code>qa( )</code> to store the question string and correct answer strings in <code>$mc</code>. For example, <code>$mc->qa("question","correct answer 1","correct answer 2");</code>. Note that unlike match lists and select lists, you cannot call the <code>qa( )</code> method again. If you include math symbols you should switch to LaTeX mode
  +
<code CLASS="tex2math_ignore">\( \)</code>, and use <code>\displaystyle</code> with extra spacing <code>$BR</code> after each entry, if necessary. For example, <code CLASS="tex2math_ignore">$mc->qa("question", "\( x^2 \) $BR", "\( \displaystyle \frac{x^2}{4-x} \) $BR" );</code>
  +
</p>
  +
<p>
  +
Incorrect answers are specified as a list of string arguments to the <code>extra( )</code> method.
  +
</p>
  +
<p>
  +
The arguments of the <code>makeLast( )</code> method will appear at the end of the list and will not be shuffled, unlike the arguments of <code>extra( )</code>, which are shuffled. The arguments to <code>makeLast( )</code> can either be a new extra answers or only the correct answer. For example, if the only correct answer is "None of the above", use
  +
<pre>
  +
$mc->qa("question","None of the above");
  +
$mc->extra("very wrong","distractor","red herring");
  +
$mc->makeLast("None of the above");
  +
</pre>
  +
</p>
  +
<p>
  +
To make answers appear in a certain order (e.g., Yes followed by No and Maybe), use <code>$mc->qa("question","Yes"); $mc->makeLast("Yes","No","Maybe");</code> and do not use <code>extra( )</code> at all. In this case, to randomize the question and answer, where the answer to question 1 is Yes and the answer to question 2 is No, use
  +
<pre>
  +
@quest = ("question 1","question 2");
  +
@ans = ("Yes","No");
  +
$pick = random(0,1,1);
  +
$mc->new_checkbox_multiple_choice();
  +
$mc->qa($quest[$pick],$ans[$pick]);
  +
$mc->makeLast("Yes","No","Maybe");
  +
</pre>
 
</p>
 
</p>
 
</td>
 
</td>
Line 82: Line 93:
 
<td style="background-color:#ffdddd;border:black 1px dashed;">
 
<td style="background-color:#ffdddd;border:black 1px dashed;">
 
<pre>
 
<pre>
# Print the text using $cmc->print_q() for the questions and
 
# $cmc->print_a() to print the answers.
 
 
BEGIN_TEXT
 
BEGIN_TEXT
   
This is a place to insert additional text if you wish.
 
  +
\{ $mc -> print_q() \}
$PAR
 
  +
$BR
\{ $cmc -> print_q() \}
+
\{ $mc -> print_a() \}
$PAR
+
\{ $cmc -> print_a() \}
 
 
END_TEXT
 
END_TEXT
 
</pre>
 
</pre>
 
<td style="background-color:#ffcccc;padding:7px;">
 
<td style="background-color:#ffcccc;padding:7px;">
 
<p>
 
<p>
Main Text: Print the question and answers.
+
<b>Main Text:</b> Print the question and answers. Print the question text using <code>$mc->print_q()</code> and
  +
the list of all answers using <code>$mc->print_a()</code>.
 
</p>
 
</p>
 
</td>
 
</td>
Line 105: Line 114:
 
$showPartialCorrectAnswers = 0;
 
$showPartialCorrectAnswers = 0;
   
ANS(checkbox_cmp($cmc->correct_ans));
+
ANS( checkbox_cmp( $mc->correct_ans() ) );
   
 
ENDDOCUMENT();
 
ENDDOCUMENT();
Line 111: Line 120:
 
<td style="background-color:#eeccff;padding:7px;">
 
<td style="background-color:#eeccff;padding:7px;">
 
<p>
 
<p>
Answer Evaluation: Grade the problem with <code>checkbox_cmp</code>. We use the standard problem grader and set <code>$showPartialCorrectAnswers = 0;</code> to withhold credit and hide the correct answers until all answers are correct. Otherwise, students can guess and check their answers by the partial credit or feedback received.
+
<b>Answer Evaluation:</b> We use the standard problem grader, an all-or-nothing grader that gives no partial credit, and set <code>$showPartialCorrectAnswers = 0;</code> to withhold credit and hide the correct answers until the student answers everything correctly. Otherwise, the student can use a guess-and-check method to find the correct answers by the partial credit and feedback received. Use the <code>checkbox_cmp</code> answer checker.
 
</p>
 
</p>
  +
<p>See
  +
[https://webwork.maa.org/moodle/mod/forum/discuss.php?d=4999 the linked forum discussion thread] for a technique to give partial credit on such questions.</p>
 
</td>
 
</td>
 
</tr>
 
</tr>

Revision as of 04:53, 17 January 2021

Multiple Select Problems (or Checkbox Multiple Choice or Select All That Apply)

This code snippet shows the essential PG code to include multiple select question (or checkbox multiple choice or select all that apply) in a problem. A multiple choice question has only one correct answer, whereas a checkbox multiple choice question may require several items to be selected at the same time to be correct.

Note that in this example we use old-style checkbox multiple choice answer objects. The new-style MathObjects do not yet have a checkbox multiple choice answer object.

Problem Techniques Index

PG problem file Explanation
DOCUMENT();  

loadMacros(
"PGstandard.pl",
"PGchoicemacros.pl",
"PGcourse.pl",
);

TEXT(beginproblem());

Initialization: We must load PGchoicemacros.pl and PGanswermacros.pl.

$mc = new_checkbox_multiple_choice();
$mc -> qa (
"Select all expressions that are equivalent to  
\( e^{x^2 + 1/x} \).  There may be more than
one correct answer.", 
"\( e^{x^2} e^{1/x} \)$BR",
"\( e^{x^2} e^{x^{-1}} \)$BR",                
"\( e^{ (x^3+1) / x } \)$BR",
);
$mc -> extra(
"\( \displaystyle \frac{ e^{x^2} }{ e^x } \)$BR",
"\( e^{x^2} + e^{1/x} \)$BR",
);
$mc -> makeLast("None of the above");

Setup: Create a new checkbox multiple choice object named $mc with $mc->new_checkbox_multiple_choice();.

Use the question and answer method qa( ) to store the question string and correct answer strings in $mc. For example, $mc->qa("question","correct answer 1","correct answer 2");. Note that unlike match lists and select lists, you cannot call the qa( ) method again. If you include math symbols you should switch to LaTeX mode \( \), and use \displaystyle with extra spacing $BR after each entry, if necessary. For example, $mc->qa("question", "\( x^2 \) $BR", "\( \displaystyle \frac{x^2}{4-x} \) $BR" );

Incorrect answers are specified as a list of string arguments to the extra( ) method.

The arguments of the makeLast( ) method will appear at the end of the list and will not be shuffled, unlike the arguments of extra( ), which are shuffled. The arguments to makeLast( ) can either be a new extra answers or only the correct answer. For example, if the only correct answer is "None of the above", use

$mc->qa("question","None of the above");
$mc->extra("very wrong","distractor","red herring");
$mc->makeLast("None of the above");

To make answers appear in a certain order (e.g., Yes followed by No and Maybe), use $mc->qa("question","Yes"); $mc->makeLast("Yes","No","Maybe"); and do not use extra( ) at all. In this case, to randomize the question and answer, where the answer to question 1 is Yes and the answer to question 2 is No, use

@quest = ("question 1","question 2"); 
@ans = ("Yes","No"); 
$pick = random(0,1,1);
$mc->new_checkbox_multiple_choice();
$mc->qa($quest[$pick],$ans[$pick]);
$mc->makeLast("Yes","No","Maybe");

BEGIN_TEXT

\{ $mc -> print_q() \}
$BR
\{ $mc -> print_a() \}

END_TEXT

Main Text: Print the question and answers. Print the question text using $mc->print_q() and the list of all answers using $mc->print_a().

install_problem_grader(~~&std_problem_grader);

$showPartialCorrectAnswers = 0;

ANS( checkbox_cmp( $mc->correct_ans() ) );

ENDDOCUMENT();

Answer Evaluation: We use the standard problem grader, an all-or-nothing grader that gives no partial credit, and set $showPartialCorrectAnswers = 0; to withhold credit and hide the correct answers until the student answers everything correctly. Otherwise, the student can use a guess-and-check method to find the correct answers by the partial credit and feedback received. Use the checkbox_cmp answer checker.

See the linked forum discussion thread for a technique to give partial credit on such questions.

Problem Techniques Index