Difference between revisions of "Invaders Sample Problem"

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<em>This sample problem shows how to use the invaders applet.</em>
 
<em>This sample problem shows how to use the invaders applet.</em>
 
</p>
 
</p>
<p>
 
  +
<p style="background-color:#93BED2;border:black solid 1px;padding:3px;">This applet and WeBWorK problem are based upon work supported by the National Science Foundation under Grant Number DUE-0941388.</p>
  +
<p style="background-color:#ffccff;border:black solid 1px;padding:3px;">Click here to see a problem like this in action: [https://testcourses.webwork.maa.org/webwork2/FlashAppletDemos/variousAppletProblems/15/?user=practice1&effectiveUser=practice1&key=GR2uPvmajnoZz2cVTtrdBXsMFiO2C4k7&displayMode=MathJax&showOldAnswers=0 testcourses.webwork.maa.org/webwork2/FlashAppletDemos]</p>
  +
[[File:invaders.jpg|300px]]
 
A standard WeBWorK PG file with an embedded applet has six sections:
 
A standard WeBWorK PG file with an embedded applet has six sections:
</p>
 
 
<ol>
 
<ol>
 
<li> A <em>tagging and description section</em>, that describes the problem for future users and authors,</li>
 
<li> A <em>tagging and description section</em>, that describes the problem for future users and authors,</li>
Line 17: Line 18:
 
</ol>
 
</ol>
 
<p>
 
<p>
The sample file attached to this page shows this; below the file is shown to the left, with a second column on its right that explains the different parts of the problem that are indicated above. The flash applet below illustrates how the applet would work within WeBWorK. The homework question below the applet is a screenshot of the WeBWorK problem created by the pg file documented below. <br>
+
The sample file attached to this page shows this; below the file is shown to the left, with a second column on its right that explains the different parts of the problem that are indicated above. The flash applet below illustrates how the applet would work within WeBWorK. The homework question below the applet is a screenshot of the WeBWorK problem created by the pg file documented above. <br>
<flash>file=Graph_limit1derWiki.swf|height=653px|width=467px</flash>
 
<br>
 
***page under construction ***<br>
 
 
[[Derivative Graph Matching Flash Applet Sample Problem]]<br>
 
[[Derivative Graph Matching Flash Applet Sample Problem]]<br>
 
[[trigwidget Applet Sample Problem]]<br>
 
[[trigwidget Applet Sample Problem]]<br>
Line 101: Line 102:
 
|- style=" background-color:#ccffff;"
 
|- style=" background-color:#ccffff;"
 
| <pre>
 
| <pre>
############################################
 
# How to use the Graph_Test applet.
 
# Purpose: The purpose of this applet
 
# is to ask graphical limit questions
 
# Use of applet: The applet state
 
# consists of the following fields:
 
# qType - question type:
 
# limits, continuity,
 
# first_derivative,
 
# second_derivative
 
# hintState - context sensitive
 
# help is either on or off.
 
# Generally turned on before
 
# dueDate
 
# problemSeed - the seed sets
 
# the random parameters that
 
# control which graph is chosen.
 
# If the seed is changed, the
 
# graph is changed.
 
############################################
 
# qType = first_derivative
 
# get_interval_info - given a type of
 
# interval returns a list of intervals
 
# with that characteristic
 
# Valid types are - increasing,
 
# decreasing, constant, up, down,
 
# straight
 
# up, down and straight pertain to
 
# the concavity of the function
 
# on the interval
 
# sample function call:
 
# get_interval_info("increasing")
 
# describe_interval - given an interval
 
# and a type, the function returns
 
# information about the interval.
 
#
 
# Valid types are -
 
# updown (for concavity information),
 
# posneg1 (for sign of first derivative),
 
# posneg2 (for sign of second derviative),
 
# incdec (for whether function is
 
# increasing or decreasing on the
 
# interval.
 
# sample function call:
 
# describe_interval($x1,$x2,"updown")
 
# right_limits - returns a list of
 
# points (a,b) such that
 
# lim_{x\to a^-}f(x)=b,
 
# but lim_{x\to a^+}f(x)\= b
 
# left_limits - returns a list of
 
# points (a,b) such that
 
# lim_{x\to a^+}f(x)=b,
 
# but lim_{x\to a^-}f(x)\= b
 
# neither_limits - returns a list
 
# of points (a,b) such that
 
# lim_{x\to a^-}f(x)\=
 
# lim_{x\to a^+}f(x)\= f(a)=b
 
# get_intervals returns a list of
 
# intervals on which f(x) is continuous.
 
# get_f_of_x - given x value, returns f(x).
 
# returns NaN for x notin [-10,10].
 
# getf_list - given x value and string returns
 
# "function" - returns f(x)
 
# "leftlimit" - returns lim_{x->a^-}f(x)
 
# "rightlimit" - returns lim_{x->a^+}f(x)
 
# "limit" - returns lim_{x->a}f(x) or "DNE"
 
#
 
# What does the applet do?
 
# The applet draws a graph with jumps,
 
# a cusp and discontinuities
 
# When turned on, there is context
 
# sensitive help.
 
##############################################
 
 
###################################
 
###################################
 
# Create link to applet
 
# Create link to applet
 
###################################
 
###################################
$appletName = "Graph_Limit";
+
$appletName = "invaders";
 
$applet = FlashApplet(
 
$applet = FlashApplet(
 
codebase
 
codebase
Line 189: Line 117:
 
setConfigAlias => 'setConfig',
 
setConfigAlias => 'setConfig',
 
maxInitializationAttempts => 10,
 
maxInitializationAttempts => 10,
height => '475',
+
height => '600',
width => '425',
+
width => '360',
 
bgcolor => '#ffffff',
 
bgcolor => '#ffffff',
debugMode => 0,
+
debugMode => 0,
submitActionScript => qq{
+
submitActionScript =>
getQE("inc").value=getApplet
+
qq{getQE("answerBox").value=getApplet("$appletName").getAnswer() },
("$appletName").get_interval_info("increasing");
 
getQE("dec").value=getApplet
 
("$appletName").get_interval_info("decreasing");
 
getQE("constant").value=getApplet
 
("$appletName").get_interval_info("constant");
 
},
 
 
);
 
);
 
 
###################################
 
###################################
 
# Configure applet
 
# Configure applet
 
###################################
 
###################################
# configuration consists of hintState,
 
# question type, and random seed,
 
# and x-coordinates of four points
 
# where jumps, discontinuities or cusps
 
# occur.
 
$applet->configuration(qq{<xml>
 
<hintState>$showHint</hintState>
 
<qtype>$qtype</qtype>
 
<seed>$problemSeed</seed>
 
<xlist x1='$x1' x2='$x2'
 
x3='$x3' x4='$x4' /></xml>});
 
$applet->initialState(qq{<xml>
 
<hintState>$showHint</hintState>
 
<qtype>$qtype</qtype>
 
<seed>$problemSeed</seed>
 
<xlist x1='$x1' x2='$x2'
 
x3='$x3' x4='$x4' /></xml>});
 
   
TEXT( MODES(TeX=>'object code',
 
HTML=>$applet->insertAll(
 
debug=>0,
 
includeAnswerBox=>0,
 
)));
 
   
  +
$applet->configuration(qq{<xml><high>$high</high><baseSpeed>$baseSpeed</baseSpeed></xml>});
  +
$applet->initialState(qq{<xml><high>$high</high><baseSpeed>$baseSpeed</baseSpeed></xml>});
   
TEXT(MODES(TeX=>"", HTML=><<'END_TEXT'));
 
<input type="hidden" name="inc" id="inc" />
 
<input type="hidden" name="dec" id="dec" />
 
<input type="hidden"
 
name="constant" id="constant" />
 
END_TEXT
 
 
$answerString1 = $inputs_ref->{inc};
 
my $correctAnswer1 = List($answerString1);
 
 
$answerString2 = $inputs_ref->{dec};
 
my $correctAnswer2 = List($answerString2);
 
 
$answerString3 = $inputs_ref->{constant};
 
my $correctAnswer3 = List($answerString3);
 
   
  +
TEXT( MODES(TeX=>'object code', HTML=>$applet->insertAll(
  +
debug=>0,
  +
includeAnswerBox=>1,
  +
# reinitialize_button=>$permissionLevel>=10,
  +
)));
   
 
</pre>
 
</pre>
Line 249: Line 146:
 
Those portions of the code that begin the line with <code>#</code> are comments and can be omitted or replaced with comments appropriate to your particular problem.
 
Those portions of the code that begin the line with <code>#</code> are comments and can be omitted or replaced with comments appropriate to your particular problem.
 
</p>
 
</p>
<p>You must include the section that follows <code># Create link to applet</code>. If you are embedding a different applet, from the Graph_Limit applet, put your applet name in place of 'Graph_Limit' in the line <code>$appletName = "Graph_Limit";</code>. Enter the height of the applet in the line <code>height => '475',</code> in place of 475 and the width in the line <code>width => '425',</code> in place of 425.
 
  +
<p>You must include the section that follows <code># Create link to applet</code>.
  +
If you are embedding a different applet, from the invaders applet, put your applet name in place of 'invaders' in the line <code>$appletName = "invaders";</code>. Enter the height of the applet in the line <code>height => '600',</code> in place of 600 and the width in the line <code>width => '360',</code> in place of 360.
 
</p><br>
 
</p><br>
<p> The lines <code>$applet->configuration</code> <code>(qq{<xml></code> <code><hintState>$hintState</hintState></code> <code><qtype>$qtype</qtype></code> <code><seed>$problemSeed</seed></code> <code><xlist x1='$x1' x2='$x2'</code> <code>x3='$x3' x4='$x4' /></xml>});</code> and <code>$applet->initialState</code> <code>(qq{<xml><hintState>$hintState</hintState></code> <code><qtype>$qtype</qtype></code> <code><seed>$problemSeed</seed></code> <code><xlist x1='$x1' x2='$x2'</code> <code>x3='$x3' x4='$x4' /></xml>});</code> configure the applet. The configuration of the applet is done in xml. The hintState is set to the variable <code>$hintState</code>, the question type is set to <code>$qtype</code> and the problem seed is the WeBWorK environmental variable <code>$problemSeed</code>. The variables <code>$x1</code>, <code>$x2</code>, <code>$x3</code> and <code>$x4</code> are also passed to the applet.
+
<p> The lines <code>$applet->configuration</code> <code>(qq{<xml><high>$high</high></code><code><baseSpeed>$baseSpeed</baseSpeed></xml>});</code> and <code>$applet->initialState</code> <code>(qq{<xml><high>$high</high></code><code><baseSpeed>$baseSpeed</baseSpeed></xml>});</code> configure the applet. The configuration of the applet is done in xml.
</p><br>
 
<p>The code <code>qq{ </code><code>
 
getQE("inc").value=getApplet</code> <code>("$appletName")</code> <code>.get_interval_info</code> <code>("increasing");</code><code>
 
getQE("dec").value=getApplet</code> <code>("$appletName")</code> <code>.get_interval_info</code> <code>("decreasing");</code> <code>
 
getQE("constant").value=getApplet</code> <code>("$appletName")</code> <code>.get_interval_info</code> <code>("constant");</code> <code>
 
}</code>
 
is called when the 'Submit Answers' button in the problem is pressed. There is an external interface function designed inside the applet. The function name is 'get_interval_info'. These lines of code call the function with javascript. <code>get_interval_info</code>, takes one argument: a string value. The string may be any of the following alternatives: "increasing", "decreasing", "constant", "up", "down" or "straight". <code>get_interval_info</code> returns a list of open intervals with the specified characteristic. The line <code>
 
getQE("inc").value=getApplet</code> <code>("$appletName").get_interval_info</code> <code>("increasing");</code> gets the value of the function <code>get_interval_info</code> and stores this value in the hidden javascript form field named "inc". Note that although we have carriage returns after each of the 'getQE' statements, you should <em>not</em> have these carriage returns in your pg file. They are here so that the text line will allow display of the code next to the explanation. You will get error messages if you have the carriage returns in your pg file.</p>
 
<p>
 
The hidden form fields are created in the code block:
 
<code>
 
TEXT(MODES(TeX=>"", HTML=><<'END_TEXT'));
 
<input type="hidden" name="inc" id="inc" /></code> <code>
 
<input type="hidden" name="dec" id="dec" /></code> <code>
 
<input type="hidden" name="constant" id="constant" /></code> <code>
 
END_TEXT
 
</code>
 
The line <code>TEXT(MODES(TeX=>"", HTML=></code> <code><<'END_TEXT'));</code> prevents the hidden fields from appearing in the hard copy.
 
 
</p><br>
 
</p><br>
<p>
 
The applet is configured in the code line:
 
<code>$applet->configuration(qq{<xml></code> <code><hintState>$hintState</hintState></code> <code><qtype>limits</qtype></code> <code><seed>$problemSeed</seed></code> <code><xlist x1='$x1' x2='$x2'</code> <code>x3='$x3' x4='$x4' /></code> <code></xml>});</code> and the similar line below it.
 
The variables $hintState, $problemSeed, and $x1, $x2, $x3, and $x4 are defined within WeBWorK and used by the applet to set the problem up.
 
</p><br>
 
 
<p>
 
<p>
 
<code>TEXT( MODES(TeX=>'object code',</code> <code>HTML=>$applet->insertAll(</code> <code>
 
<code>TEXT( MODES(TeX=>'object code',</code> <code>HTML=>$applet->insertAll(</code> <code>
Line 265: Line 158:
 
)));</code> actually embeds the applet in the WeBWorK problem.
 
)));</code> actually embeds the applet in the WeBWorK problem.
 
</p><br>
 
</p><br>
<p>When the submit button is pressed, the hidden form fields defined in this block are filled with information from the applet.
 
</p>
 
<p>
 
The data from the hidden form fields is used in these simple perl subroutines to define the correct answers to the four questions that are part of this WeBWorK problem.</p><br>
 
<p>The WeBWorK variable $answerString1 is the content of the hidden form field "inc". $correctAnswer1 is the solution to the first question. The solutions for the next two questions are defined in a similar way.</p>
 
 
|- style=" background-color:#ccffff;"
 
|- style=" background-color:#ccffff;"
 
| <pre>
 
| <pre>
Line 292: Line 180:
 
$BR
 
$BR
   
$BR list all intervals for which
 
$BR
 
a)
 
\(f^\prime(x)>0\)
 
\{ans_rule(35) \}
 
$BR
 
b)
 
\(f^\prime(x)<0\)
 
\{ans_rule(35) \}
 
   
$BR
 
  +
$BR Click or tap first the function then its derivative for high score.
c)
 
  +
$BR When the game ends, press 'submit answers'.
\(f^\prime(x)=0\)
 
  +
$BR If your score is high enough, you'll get credit.
\{ans_rule(35) \}
 
 
$BR
 
   
 
END_TEXT
 
END_TEXT
Line 324: Line 200:
 
|- style=" background-color:#eeccff;"
 
|- style=" background-color:#eeccff;"
 
| <pre>
 
| <pre>
######################################
+
###########################################
 
#
 
#
 
# Answers
 
# Answers
Line 330: Line 206:
 
## answer evaluators
 
## answer evaluators
   
ANS( $correctAnswer1->
 
  +
NAMED_ANS('answerBox'=>$ans->cmp());
cmp(strings=>['None']) );
 
#checks AnSwEr00001
 
ANS( $correctAnswer2->
 
cmp(strings=>['None']) );
 
#checks AnSwEr00002
 
ANS( $correctAnswer3->
 
cmp(strings=>['None']) );
 
#checks AnSwEr00003
 
   
   
ENDDOCUMENT();
+
ENDDOCUMENT();
  +
 
</pre>
 
</pre>
 
| <p>
 
| <p>
This is the <strong>answer</strong> section of the problem. The problem answer is set by the <code>ANS( $correctAnswer1-></code> <code>cmp(strings=></code> <code>['None']) );</code>, <code>ANS( $correctAnswer2-></code> <code>cmp(strings=></code> <code>['None']) );</code>, <code>ANS( $correctAnswer3-></code> <code>cmp(strings=></code> <code>['None']) );</code> lines. These compare the student's answer with the answers returned from the applet. The answers allow for either a list of intervals answer or the string 'None' for empty lists.
 
  +
This is the <strong>answer</strong> section of the problem. The applet returns a 1 if the student gets a score of 30,500 or more. The student can earn this score by pausing the applet and restarting it. To earn a higher score, the applet must be played without pause.
</p>
 
<p>
 
The solution is embedded in the applet and becomes available when the due date has passed.
 
 
</p>
 
</p>
 
<p>
 
<p>

Latest revision as of 09:59, 31 July 2013

Flash Applets embedded in WeBWorK questions invaders Example

Flash applet with game like interface Sample Problem

This sample problem shows how to use the invaders applet.

This applet and WeBWorK problem are based upon work supported by the National Science Foundation under Grant Number DUE-0941388.

Click here to see a problem like this in action: testcourses.webwork.maa.org/webwork2/FlashAppletDemos

Invaders.jpg A standard WeBWorK PG file with an embedded applet has six sections:

  1. A tagging and description section, that describes the problem for future users and authors,
  2. An initialization section, that loads required macros for the problem,
  3. A problem set-up section that sets variables specific to the problem,
  4. An Applet link section that inserts the applet and configures it, (this section is not present in WeBWorK problems without an embedded applet)
  5. A text section, that gives the text that is shown to the student, and
  6. An answer and solution section, that specifies how the answer(s) to the problem is(are) marked for correctness, and gives a solution that may be shown to the student after the problem set is complete.

The sample file attached to this page shows this; below the file is shown to the left, with a second column on its right that explains the different parts of the problem that are indicated above. The flash applet below illustrates how the applet would work within WeBWorK. The homework question below the applet is a screenshot of the WeBWorK problem created by the pg file documented above.
Derivative Graph Matching Flash Applet Sample Problem
trigwidget Applet Sample Problem
Hint Applet (Trigonometric Substitution) Sample Problem
uSub Applet Sample Problem

PG problem file Explanation
##DESCRIPTION
##  derivatives practice 
##ENDDESCRIPTION

##KEYWORDS('derivatives', 'Flash applets','NSF-0941388')

## DBsubject('Calculus')
## DBchapter('Limits and Derivatives')
## DBsection('Derivatives')
## Date('1/12/2012')
## Author('Barbara Margolius')
## Institution('Cleveland State University')
## TitleText1('')
## EditionText1('2012')
## AuthorText1('')
## Section1('')
## Problem1('')
########################################
# This work is supported in part by the 
# National Science Foundation 
# under the grant DUE-0941388.
########################################

This is the tagging and description section of the problem. Note that any line that begins with a "#" character is a comment for other authors who read the problem, and is not interpreted by WeBWorK.

The description is provided to give a quick summary of the problem so that someone reading it later knows what it does without having to read through all of the problem code.

All of the tagging information exists to allow the problem to be easily indexed. Because this is a sample problem there isn't a textbook per se, and we've used some default tagging values. There is an on-line list of current chapter and section names and a similar list of keywords. The list of keywords should be comma separated and quoted (e.g., KEYWORDS('calculus','derivatives')).

DOCUMENT();        

loadMacros(
  "PGanswermacros.pl",
  "PGstandard.pl",
  "AppletObjects.pl",
  "MathObjects.pl",
);

This is the initialization section of the problem. The first executed line of the problem must be the DOCUMENT(); command. Note that every command must end with a semicolon.

The loadMacros command loads information that works behind the scenes. For our purposes we can usually just load the macros shown here and not worry about things further.

# Set up problem
TEXT(beginproblem());
$showPartialCorrectAnswers = 1;
Context("Numeric"); 

$high = 0;
$baseSpeed = 0.25;

$ans =Compute("1");

This is the problem set-up section of the problem.

The invaders.swf applet will accepts a $basespeed setting that determines the initial speed of the descending tiles. The default is 0.5. The setting here of 0.25 is a fairly slow initial speed. As the student matches function/derivative pairs, the tiles descend more quickly.

###################################
# Create  link to applet 
###################################
$appletName = "invaders";
$applet =  FlashApplet(
  codebase              
    => findAppletCodebase("$appletName.swf"),
  appletName            
    => $appletName,
  appletId              
    => $appletName,
  setStateAlias         => 'setXML',
  getStateAlias         => 'getXML',
  setConfigAlias        => 'setConfig',
  maxInitializationAttempts => 10,   
  height                => '600',
  width                 => '360',
  bgcolor               => '#ffffff',
 debugMode             =>  0,
       submitActionScript  =>  
  qq{getQE("answerBox").value=getApplet("$appletName").getAnswer() },
     );
###################################
# Configure applet
###################################


$applet->configuration(qq{<xml><high>$high</high><baseSpeed>$baseSpeed</baseSpeed></xml>});
$applet->initialState(qq{<xml><high>$high</high><baseSpeed>$baseSpeed</baseSpeed></xml>});


TEXT( MODES(TeX=>'object code', HTML=>$applet->insertAll(
  debug=>0,
  includeAnswerBox=>1,
#   reinitialize_button=>$permissionLevel>=10,
   )));

This is the Applet link section of the problem.


Those portions of the code that begin the line with # are comments and can be omitted or replaced with comments appropriate to your particular problem.

You must include the section that follows # Create link to applet. If you are embedding a different applet, from the invaders applet, put your applet name in place of 'invaders' in the line $appletName = "invaders";. Enter the height of the applet in the line height => '600', in place of 600 and the width in the line width => '360', in place of 360.


The lines $applet->configuration (qq{<xml><high>$high</high><baseSpeed>$baseSpeed</baseSpeed></xml>}); and $applet->initialState (qq{<xml><high>$high</high><baseSpeed>$baseSpeed</baseSpeed></xml>}); configure the applet. The configuration of the applet is done in xml.


TEXT( MODES(TeX=>'object code', HTML=>$applet->insertAll( debug=>0, includeAnswerBox=>0, reinitialize_button=>$permissionLevel>=10, ))); actually embeds the applet in the WeBWorK problem.


TEXT(MODES(TeX=>"", HTML=><<'END_TEXT'));
<script>
if (navigator.appVersion.indexOf("MSIE") > 0) {
    document.write("<div width='3in' 
    align='center' style='background:yellow'>
    You seem to be using Internet Explorer.
    <br/>It is recommended that another 
    browser be used to view this page.</div>");
}
</script>
END_TEXT

The text between the <script> tags detects whether the student is using Internet Explorer. If the student is using this browser, a warning is issued and the student is advised to use another browser. IE mis-sizes the applets. Some will work correctly when displayed at the wrong size, but others will fail. We do not recommend using IE with WeBWorK problems with Flash embedded.

BEGIN_TEXT

$BR


$BR Click or tap first the function then its derivative for high score.  
$BR When the game ends, press 'submit answers'. 
$BR If your score is high enough, you'll get credit.

END_TEXT
Context()->normalStrings;

This is the text section of the problem. The TEXT(beginproblem()); line displays a header for the problem, and the Context()->texStrings line sets how formulas are displayed in the text, and we reset this after the text section. Everything between the BEGIN_TEXT and END_TEXT lines (each of which must appear alone on a line) is shown to the student.

Mathematical equations are delimited by \( \) (for inline equations) or \[ \] (for displayed equations); in these contexts inserted text is assumed to be TeX code.

There are a number of variables that set formatting: $PAR is a paragraph break (like \par in TeX). This page gives a list of variables like this. Finally, \{ \} sets off code that will be executed in the problem text. Here, ans_rule(35) is a function that inserts an answer blank 35 characters wide.

###########################################
#
#  Answers
#
## answer evaluators

NAMED_ANS('answerBox'=>$ans->cmp());


ENDDOCUMENT(); 

This is the answer section of the problem. The applet returns a 1 if the student gets a score of 30,500 or more. The student can earn this score by pausing the applet and restarting it. To earn a higher score, the applet must be played without pause.

The ENDDOCUMENT(); command is the last command in the file.