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<b><font size="4" color="#ff0000">

<p>A Collection of Java Websites to Support Mathematics Education</p>
</font><font color="#0000ff">

<p><br>
An Article on the Use of Java Applets in Mathematics Education</p>
</font></b>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.utc.edu/~cpmawata/instructor/tsukuba1.htm">Uses of Java Applets in
    Mathematics Education</a></td>
    <td width="58%" valign="TOP">http://www.utc.edu/~cpmawata/instructor/tsukuba1.htm</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A very readable overview of how Java applets can be used to
    enhance instruction in the mathematics classroom. The author is Chris Mawata, who visited
    Brisbane last year, and attended QAMT&#146;s 75<sup>th</sup> anniversary dinner.<br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>
<font color="#0000ff"><b>

<p>Archive Sites - Lots of Applets!</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="218" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/iesjava.html-ssi">Manipula
    Maths Collection</a></td>
    <td width="462" valign="TOP">http://www.ies.co.jp/math/java/iesjava.html-ssi</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">One hundred and fifty eight applets, all
    mathematical, from middle school to university. These applets are slick, and load very
    fast. You hardly need to go past this site to view the best applets to support mathematics
    education. There is a file containing nine applets that you can download.<br>
    </td>
  </tr>
  <tr>
    <td width="218" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://jars.developer.com/">JARS</a></td>
    <td width="462" valign="TOP">http://jars.developer.com/</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">The Java Applet Review Service. Click on Search,
    and type in your category. The applets are rated &#150; top 1%, top 5%, top 25%.<br>
    </td>
  </tr>
  <tr>
    <td width="218" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://209.249.14.50/index.html">Educational Object
    Economy</a></td>
    <td width="462" valign="TOP">http://209.249.14.50/index.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">A large collection of Java applets. Select Search
    for Applets, type in your category, and click on [Search].<br>
    </td>
  </tr>
  <tr>
    <td width="218" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.developer.com/directories/pages/dir.java.educational.math.html">Developer.Com</a></td>
    <td width="462" valign="TOP">http://www.developer.com/directories/pages/dir.java.educational.math.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">A website with over 200 Java applets for Maths
    education, from lower primary to tertiary level.<br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>
<font color="#0000ff"><b>

<p>Number</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.geocities.com/SiliconValley/7676/calculator.html">A Simple Calculator</a></td>
    <td width="58%" valign="TOP">http://www.geocities.com/SiliconValley/7676/calculator.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">This isn&#146;t actually a Java applet, but it is a handy
    little 4 function calculator that loads quickly.<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.geocities.com/SiliconValley/2548/BigCalculator.html">The Big Calculator</a></td>
    <td width="58%" valign="TOP">http://www.geocities.com/SiliconValley/2548/BigCalculator.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">Set the precision to as many decimal places as you wish. So
    you can show students, for example, that 1/97 is repeating decimal, with a period of 96.
    Or find pi to 2000 decimal places (it takes about 30 seconds).<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.csm.astate.edu/Nim.html">The Game of Nim</a></td>
    <td width="58%" valign="TOP">http://www.csm.astate.edu/Nim.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">Nim is a classic game of logic. Except, if you know the
    secret, you can usually win! And, surprisingly, the secret is based on binary arithmetic.<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.best.com/~ejad/java/patterns/patterns_d.shtml">Fractions &#150; The
    Patterns Program</a></td>
    <td width="58%" valign="TOP">http://www.best.com/~ejad/java/patterns/patterns_d.shtml</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A Java implementation of Pattern Blocks, which are common
    manipulatives for introducing fractions and fraction operations. The site includes
    instructions on how to use the applet, and exercises and activities for the students.<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.cut-the-knot.com/blue/Napier.html">Napier&#146;s
    Bones</a></td>
    <td width="58%" valign="TOP">http://www.cut-the-knot.com/blue/Napier.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A fast-loading Java implementation of this ancient
    calculating device. One feature is that you can choose bases other than 10. The topic is
    best taught with manipulatives, but this would be either a nice introduction to the topic,
    or an interesting way to wrap up the unit at the end.<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.cut-the-knot.com/SimpleGames/Calendar.html">Calendar Magic</a></td>
    <td width="58%" valign="TOP">http://www.cut-the-knot.com/SimpleGames/Calendar.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">Presents an interesting puzzle, based around a calendar. The
    puzzle can be presented to students using an actual calendar, though the website does
    allow the user to choose the month and the year.<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.learningkingdom.com/eleven/">Eleven Times</a><p><a href="https://web.archive.org/web/20040714085426/http://www.learningkingdom.com/five/">Blankety-Five Squared</a></td>
    <td width="58%" valign="TOP">http://www.learningkingdom.com/eleven/<p>http://www.LearningKingdom.com/five/</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">I&#146;ve always enjoyed mental arithmetic tricks. The first
    URL is a very nice implementation of mentally multiplying by 11, while the second presents
    a method of squaring numbers that end in 5. <br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.comcen.com.au/~adavie/javaslide/javaslide.html">JavaSlide &#150; A Java
    Slide Rule</a></td>
    <td width="58%" valign="TOP">http://www.comcen.com.au/~adavie/javaslide/javaslide.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A slide rule is useful as a calculator, for example
    multiplying 2 x 3, but the mathematics underlying its construction means it is even more
    useful in the study of logarithms. If you have tossed yours out, well, here is a very good
    Java implementation. And it even <i>looks</i> like my old slide rule.<br>
    </td>
  </tr>
</table>

<p>&nbsp;&nbsp;</p>
<font color="#0000ff"><b>

<p>Number Patterns and Algebra</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="213" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://forum.swarthmore.edu/~morton/java/jam/Jam.html">Traffic Jam</a></td>
    <td width="467" valign="TOP">http://forum.swarthmore.edu/~morton/java/jam/Jam.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">Traffic Jam is a puzzle in which people try to
    swap places following certain proscribed rules. It is best solved using real people, or
    manipulatives, but for those that prefer it, the above URL is a Java implementation of the
    game. The instructions can be found at <a href="https://web.archive.org/web/20040714085426/http://forum.swarthmore.edu/workshops/sum96/traffic.jam.html">http://forum.swarthmore.edu/workshops/sum96/traffic.jam.html</a>.<br>
    </td>
  </tr>
  <tr>
    <td width="213" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.cut-the-knot.com/ctk/pww.html">The Sum of
    the First N Numbers</a></td>
    <td width="467" valign="TOP">http://www.cut-the-knot.com/ctk/pww.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">A &quot;proof without words&quot; that the sum of
    the first N whole number is given by N(N+1)/2. This can be done with coins on an overhead
    projector, but the Java implementation is fast and colourful.<br>
    </td>
  </tr>
  <tr>
    <td width="213" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.learningkingdom.com/math/demo/">Math in
    the Kingdom demonstration</a></td>
    <td width="467" valign="TOP">http://www.learningkingdom.com/math/demo/</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">This is an interesting site from two viewpoints
    &#150; it is a demonstration of a commercial site that uses Java as its teaching engine,
    and it is a very slick bit of programming that shows what is possible with Java. It is
    probably a good example of the direction that on-line tuition is heading. The applets are
    large, and take quite a while to load.<br>
    </td>
  </tr>
  <tr>
    <td width="213" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.idbsu.edu/people/jbrennan/algebra/lines/graph_applet.html">Line Graphs</a></td>
    <td width="467" valign="TOP">http://www.idbsu.edu/people/jbrennan/algebra/lines/graph_applet.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">The Graphing Applet allows students to move a
    linear graph with their mouse, and see the effects of their actions on the <i>y</i>=<i>mx</i>
    + <i>c</i> rule. This is &quot;backwards&quot; from a graphing calculator where they
    change the y=mx+b rule, and see changes happen to the graph. <br>
    </td>
  </tr>
  <tr>
    <td width="213" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.cut-the-knot.com/pythagoras/tricky.html">An
    Eye-Opener</a></td>
    <td width="467" valign="TOP">http://www.cut-the-knot.com/pythagoras/tricky.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">A puzzle that can be used to introduce or
    reinforce the fact that (n+1)(n-1) = n<sup>2</sup> &#150;1. Or maybe it is just a nifty
    puzzle.<br>
    </td>
  </tr>
  <tr>
    <td width="213" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://domino.psy.cmu.edu/patonline.html">PAT Online</a></td>
    <td width="467" valign="TOP">http://domino.psy.cmu.edu/patonline.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">A Java implementation of an intelligent algebra
    problem tutoring system being developed at Carnegie-Mellon University. The web interface
    is quite slow, but the project has great potential, and it is worth the wait. <br>
    </td>
  </tr>
  <tr>
    <td width="213" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.cs.washington.edu/homes/jbaer/classes/blaise/blaise.html">Pascal&#146;s
    Triangle</a></td>
    <td width="467" valign="TOP">http://www.cs.washington.edu/homes/jbaer/classes/blaise/blaise.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2" width="698">Pascal&#146;s Triangle is rich in patterns. This
    applet generates some fractal patterns that can be found in the triangle. A very useful
    applet when studying modulo arithmetic.<br>
    </td>
  </tr>
</table>

<p>&nbsp;&nbsp;<b>&nbsp;</p>
<font color="#0000ff">

<p>Geometry</p>
</font></b>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="543" valign="TOP" colspan="3"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/angle.html">Angles and Parallel Lines</a></td>
    <td width="178" valign="TOP">http://www.ies.co.jp/math/java/angle.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="4" width="739">Six applets on this topic, and all very good.
    Find the angle sum of a triangle, and the sum of the exterior angles of a polygon, and
    more.<br>
    </td>
  </tr>
  <tr>
    <td width="543" valign="TOP" colspan="3"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/quadri.html">Quadrilaterals and Conservation of Area</a></td>
    <td width="178" valign="TOP">http://www.ies.co.jp/math/java/quadri.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="4" width="739">There are some interesting applets in this
    collection of 10 applets. <i>Changing Border Line</i> is a good example of an applet that
    should only be used after students have tackled the problem themselves. <br>
    </td>
  </tr>
  <tr>
    <td width="543" valign="TOP" colspan="3"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/similar.html">Similar Figures</a></td>
    <td width="178" valign="TOP">http://www.ies.co.jp/math/java/similar.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="4" width="739">The Pantagraph is my personal favourite, from
    this collection of nine applets<br>
    </td>
  </tr>
  <tr>
    <td width="543" valign="TOP" colspan="3"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/geomisc.html">Miscellaneous</a></td>
    <td width="178" valign="TOP">http://www.ies.co.jp/math/java/geomisc.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="4" width="739">The Solid of Solomon is a delightful diversion. <br>
    </td>
  </tr>
  <tr>
    <td width="103" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/pythagoras.html">Pythagoras&#146; Theorem</a></td>
    <td width="618" valign="TOP" colspan="2">http://www.ies.co.jp/math/java/pythagoras.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="4" width="739">How many ways do you have to prove
    Pythagoras&#146; Theorem before the kids say, &#145;Enough already! I believe it!&quot;
    Will eight visual proofs be enough? My favourite is the applet simply labelled Pythagorean
    Theorem. Also check out rhe Pythagorean Tree, and Origami.<br>
    </td>
  </tr>
  <tr>
    <td width="133" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.html">Pythagoras&#146;
    Theorem</a></td>
    <td width="593" valign="TOP" colspan="3">http://SunSITE.UBC.CA/LivingMathematics/V001N01/UBCExamples/<br>
    UBCExamples/Pythagoras/pythagoras.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="4" width="739">This Java applet was written by Jim Morey. It won
    grand prize in Sun Microsystem's Java programming contest in the Summer of 1995. All that
    students need to know to follow the proof is that triangles of equal height drawn on the
    same base have equal areas.<br>
    </td>
  </tr>
  <tr>
    <td width="543" valign="TOP" colspan="3"><a href="https://web.archive.org/web/20040714085426/http://math.ucsd.edu/~dlittle/java/Spirograph.html">Spirograph Applets (1)</a><p><a href="https://web.archive.org/web/20040714085426/http://www.csm.astate.edu/spirotest/spirotest.html">Spirograph Applets (2)</a></p>
    <p><a href="https://web.archive.org/web/20040714085426/http://www.csm.astate.edu/wheels/wheels.html">Spirograph Applets (3)</a></td>
    <td width="178" valign="TOP">http://math.ucsd.edu/~dlittle/java/Spirograph.html<p>http://www.csm.astate.edu/spirotest/spirotest.html</p>
    <p>http://www.csm.astate.edu/wheels/wheels.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="4" width="739">Spirographs can be studied as an application of
    modulo arithmetic, as just a bit of geometric fun in junior school mathematics, as an
    application of parametric equations or an application of complex numbers in Maths C. The
    first applet is the one to use when introducing the topic, as it demonstates how the
    spirographs are made. The second one generates the final pattern must faster. The third
    extends the idea to a wheel travelling around a wheel travelling around a wheel. Some
    fascinating patterns emerge.<br>
    </td>
  </tr>
</table>

<p>&nbsp;&nbsp;</p>
<font color="#0000ff"><b>

<p>Fractals</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="40%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.best.com/~ejad/java/fractals/intro.shtml">An
    Introduction to Fractals</a></td>
    <td width="60%" valign="TOP">http://www.best.com/~ejad/java/fractals/intro.shtml</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">This is not just a Java applet, it is an entire unit on
    fractal geometry with interactive applets included as needed. <br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>

<p>&nbsp;<font color="#0000ff"><b>Statistics</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.stat.sc.edu/~west/javahtml/Histogram.html">Histogram Applet</a></td>
    <td width="62%" valign="TOP">http://www.stat.sc.edu/~west/javahtml/Histogram.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">This applet is designed to teach students how bin widths (or
    the number of bins) affect a histogram. <br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.stat.wisc.edu/p/stat/course/st201-limt/public/html/">Centres applet</a></td>
    <td width="62%" valign="TOP">http://www.stat.wisc.edu/p/stat/course/st201-limt/public/html/</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">A neat little applet that demonstrates how the mean and the
    median are affected by outliers. Very simple, and very effective.<br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.ruf.rice.edu/~lane/stat_sim/sampling_dist/index.html">Sampling
    Distribution Simulation</a></td>
    <td width="62%" valign="TOP">http://www.ruf.rice.edu/~lane/stat_sim/sampling_dist/index.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">Choose the parent population &#150; normal, skewed, uniform
    or custom. Then create a sampling distribution of the mean, or one of many other choices
    of summary statistics.<br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.ruf.rice.edu/~lane/stat_sim/binom_demo.html">Normal Approximation to the
    Binomial</a></td>
    <td width="62%" valign="TOP">http://www.ruf.rice.edu/~lane/stat_sim/binom_demo.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">Vary n and p in a binomial distribution, and investigate how
    the binomial distribution approaches the normal approximation as p approaches 0.5 and n
    increases.<br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.stat.sc.edu/~west/javahtml/ConfidenceInterval.html">Confidence Interval
    Applet</a></td>
    <td width="62%" valign="TOP">http://www.stat.sc.edu/~west/javahtml/ConfidenceInterval.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">This applet helps students understand confidence intervals.<br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.stat.sc.edu/~west/javahtml/CLT.html">Central Limit Theorem</a></td>
    <td width="62%" valign="TOP">http://www.stat.sc.edu/~west/javahtml/CLT.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">This applet demonstrates the central limit theorem using
    simulated dice-rolling experiments. <br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html">The Monty Hall Game</a></td>
    <td width="62%" valign="TOP">http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">As a motivating example behind the discussion of probability,
    an applet has been developed which allows students to investigate the Let's Make a Deal
    Paradox. <br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://abacus.maths.uq.edu.au/~mrb/java/CircleZap/">Circle Zap</a></td>
    <td width="62%" valign="TOP">http://abacus.maths.uq.edu.au/~mrb/java/CircleZap/</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">An applet that allows students to gather data on their
    ability to use a mouse.<br>
    </td>
  </tr>
  <tr>
    <td width="35%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.stat.uiuc.edu/~stat100/java/GCApplet/GCAppletFrame.html">Correlation</a></td>
    <td width="65%" valign="TOP" colspan="2">http://www.stat.uiuc.edu/~stat100/java/GCApplet/GCAppletFrame.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">Match the scatterplot with its correlation coefficient. Quite
    a neat little game.<br>
    </td>
  </tr>
  <tr>
    <td width="35%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.mste.uiuc.edu/reese/cereal/cereal.html">The
    Cereal Box Problem</a></td>
    <td width="65%" valign="TOP" colspan="2">http://www.mste.uiuc.edu/reese/cereal/cereal.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">The Cereal Box problem gives rise to an exponential
    distribution. After reading about the problem, follow the link to &quot;Go on a simulated
    shopping trip to get the prizes&quot; to run the Cereal Box applet. <br>
    </td>
  </tr>
  <tr>
    <td width="38%" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://polymer.bu.edu/~trunfio/java/montepi/MontePi.html">Monte Carlo Simulation</a></td>
    <td width="62%" valign="TOP">http://polymer.bu.edu/~trunfio/java/montepi/MontePi.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">This applet simulates throwing darts at random towards a
    board that consists of a circle inside a square. How can we use this experiment to
    estimate Pi?<br>
    </td>
  </tr>
  <tr>
    <td width="35%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.stat.sc.edu/~west/javahtml/Regression.html">Regression Applet</a></td>
    <td width="65%" valign="TOP" colspan="2">http://www.stat.sc.edu/~west/javahtml/Regression.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="3">The applet below is designed to teach students the effect of
    influential points on a regression line. <br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>

<p>&nbsp;<font color="#0000ff"><b>Calculus</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/calcjava.html">A
    Collection of Calculus Applets</a></td>
    <td width="58%" valign="TOP">http://www.ies.co.jp/math/java/calcjava.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A marvelous collection of 23 applets to support the teaching
    of calculus. The ones that I feel are most useful for Maths B and C are:<p>Surfing
    (Derivatives) Secant Line and Tangent Line</p>
    <p>Derivatives of Cubic Functions Rectangle Approximation Method</p>
    <p>The Number e (1) Limit of sin(x) / x<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://user.tninet.se/~jml288p/derive.html">The
    Little Deriver</a></td>
    <td width="58%" valign="TOP">http://user.tninet.se/~jml288p/derive.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">Type in an expression, and the Little Deriver will find its
    derivative symbolically. A great way to check homework!<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.cacr.caltech.edu/~roy/Caustic/">The
    Coffee Cup Caustic</a></td>
    <td width="58%" valign="TOP">http://www.cacr.caltech.edu/~roy/Caustic/</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">Not calculus, but I didn&#146;t know where else to put it.
    Have you ever seen a strange cresent of light in a cup of coffee that is held in bright
    sunlight? This applet will show you how it is formed. It is simple, and effective.<br>
    </td>
  </tr>
</table>
<font color="#0000ff">

<p>&nbsp;<b></p>
</b></font>

<p><font color="#0000ff">&nbsp;<b>Trigonometry</b></font></p>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/trigjava.html">Trigonometry
    Applets</a></td>
    <td width="58%" valign="TOP">http://www.ies.co.jp/math/java/trigjava.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A comprehensive collection of applets on Trigonometry. The
    Sine Box, Cosine Box, Tangent Box and the Six Trig Funtions are particularly neat.<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.angelfire.com/wa/hurben/buff.html">The
    Buffon Needle Problem</a></td>
    <td width="58%" valign="TOP">http://www.angelfire.com/wa/hurben/buff.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">It is a rather remarkable fact that we can estimate the value
    of pi by repeatedly dropping a needle onto some lined paper. This applet simulates the
    experiment, and provides an experimental value of pi. You will have to go elsewhere to
    find the mathematics.<br>
    </td>
  </tr>
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.frontiernet.net/~imaging/play_a_piano.html'">Play a Piano</a></td>
    <td width="58%" valign="TOP">http://www.frontiernet.net/~imaging/play_a_piano.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">Set the frequency and the fade, play a note, and see the
    waveform. Lots of trigonometry to be explored.<br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>
<font color="#0000ff">

<p>&nbsp;<b>Complex Numbers</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="42%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/misc.html">Five
    applets for complex numbers</a></td>
    <td width="58%" valign="TOP">http://www.ies.co.jp/math/java/misc.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">This is part of the Manipula Maths collection of Java
    applets, in my opinion the best collection on the web.<br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>

<p>&nbsp;<font color="#0000ff"><b>Parametric Equations and Polar Equations</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="356" valign="TOP" colspan="2"><a href="https://web.archive.org/web/20040714085426/http://www.ies.co.jp/math/java/param/param.html">Parametric Equations</a></td>
    <td valign="MIDDLE" width="367"><font size="3">http://www.ies.co.jp/math/java/param/param.html</font></td>
  </tr>
  <tr>
    <td width="741" valign="TOP" colspan="3">A wonderful visual explanation of how the graph
    of a pair of parametric equations is produced.<br>
    </td>
  </tr>
  <tr>
    <td width="448" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www-history.mcs.st-and.ac.uk/~history/Java/">Famous
    Curves Applet Index</a></td>
    <td width="275" valign="TOP" colspan="2">http://www-history.mcs.st-and.ac.uk/~history/Java/</td>
  </tr>
  <tr>
    <td width="741" valign="TOP" colspan="3">A very slick and very comprehensive website.
    Choose your curve &#150; the Pursuit Curve, the Lemniscate of Bernoulli, Neile&#146;s
    Parabola, and many, many others.<br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>

<p>&nbsp;<font color="#0000ff"><b>Functions</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="29%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://science.kongju.ac.kr/phys/shin/experiment/kjh/pendulum/index.html">The
    Pendulum</a></td>
    <td width="71%" valign="TOP">http://science.kongju.ac.kr/phys/shin/experiment/kjh/pendulum/index.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A nice little applet that simulates the swing of a pendulum.
    The viewer can set values for the mass, the angle and the length of the string, using
    slider bars. If time is pressing this is a pretty good alternative to the real thing.<br>
    </td>
  </tr>
</table>

<p>&nbsp;</p>
<font color="#0000ff">

<p>&nbsp;<b>Mathematical Fun</p>
</b></font>

<table border="1" cellspacing="1" bordercolor="#000000" cellpadding="7" width="100%">
  <tr>
    <td width="29%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://science.kongju.ac.kr/phys/shin/experiment/kjh/pendulum/index.html">Find the
    Apple applet</a></td>
    <td width="71%" valign="TOP">http://science.kongju.ac.kr/phys/shin/experiment/kjh/pendulum/index.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">An enjoyable little logic game, for kids of all ages.<br>
    </td>
  </tr>
  <tr>
    <td width="29%" valign="TOP"><a href="https://web.archive.org/web/20040714085426/http://www.sover.net/~manx/necker.html">The Animated
    Nekker Cube</a></td>
    <td width="71%" valign="TOP">http://www.sover.net/~manx/necker.html</td>
  </tr>
  <tr>
    <td valign="TOP" colspan="2">A wonderful, whimsical implementation of the &#145;wire
    cube&#146; optical illusion.&nbsp;<br>
    </td>
  </tr>
</table>
</body>
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