[ Guidelines
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Links ]
Mathematics Interactive Websites
Algebra (I and II)
http://members.tripod.com/~gvogl/graph/graph.htm
A function plotter for exploring composite functions.
http://www.math.unl.edu/~jorr/java/
Applets at this site include:
 Grapher: A general purpose function graphing program.
 ZoomGrapher: A general purpose graphing program, with facility
for zooming in on specified points.
Calculators
http://wwwsci.lib.uci.edu/HSG/RefCalculators2.html
Contains links to many online calculators.
Calculus Concepts
http://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/
The Living Mathematics Project at UBC Mathematics is working to
apply recent advances in computer programming languages and the
technology of the World Wide Web to construct a new medium for
the communication of mathematics.
http://www.ma.utexas.edu/users/kawasaki/mathPages.dir/index.html
Selected topics in Calculus I: introduction to derivatives, maxmin
problems, a function and its derivatives, and estimating definite
integrals.
Selected topics in Calculus II: plane vectors I and Taylor polynomials.
http://www.math.unl.edu/~jorr/java/
Applets at this site include:
 Grapher: A general purpose function graphing program.
 ZoomGrapher: A general purpose graphing program, with facility
for zooming in on specified points.
 IntegGrapher: A graphing program which demonstrates the definition
of the integral in terms of successive approximations by Riemann
sums.
 SecantGrapher: A program to demonstrate the definition of
the derivative in terms of the slope of approximating secant
lines.
http://www.geocities.com/SiliconValley/2902/math.htm
This site links a set of mathematical utilities:
 Evaluate a mathematical expression in n variables z1,z2,z3.
 Solve a single dimensional function f(z)=0 by Newton_raphson
method.
 Minimize a function f(z0,z1,z2..) of n variables by a random
search method.
 Minimize a function f(z1,z2,z3..) of n variables by simplex
method. This method is efficient near the optimal region.
 Fit a curve to a set of data points.
 Integrate a function by Simpson's rule.
http://www.simcalc.umassd.edu/
Part of the SimCalc website. This curriculum offers several "MathWorlds"
that can be downloaded for free. The goal of the program is to
make the big ideas of mathematics (and calculus) accessible to
a wider range of students.
http://www.ies.co.jp/math/java/calc/perime/perime.html
An applet to explore the fundamental theorem of calculus.
http://www.ies.co.jp/math/java/calc/rolhei/rolhei.html
An applet to explore Roll’s theorem and the Mean Value theorem.
http://archives.math.utk.edu/visual.calculus/
Visual Calculus. A website offering tutorials and interactive
java applets to explore a wealth of calculus concepts.
Chaos and Fractals
http://math.bu.edu/DYSYS/applets/index.html
Applets at this site include:
 The chaos game. Yes, this is a game. Try to beat the computer
by hitting specific targets via the moves of an iterated function
system. This game allows students to understand the construction
of the Sierpinski triangle via the chaos game.
 Fractalina. This applet allows you to set up the vertices,
compression ratios, and rotations associated to an iterated
function system and then compute and view the resulting fractal.
 Fractanimate. This applet allows you to string together a
collection of fractal images generated by Fractalina into a
movie.
http://darkwing.uoregon.edu/~koch/java/Fractal.html
Fractal: a program that allows the user to generate their own
fractals, stepby step!
http://www.unca.edu/~mcmcclur/java/Julia/
Java Julia Set Generator
http://www.mindspring.com/~chroma/mandelbrot.html
Explore the Madelbrot Set!
Financial
http://www.intrepid.com/~robertl/index.html
Online Applications that include many applets for stock market
investing:
 A Commissions Pricer
 A Derivatives Pricer
 A Loan Pricer
 An Option Pricer
 An Option Strategy Visualizer
 A Portfolio Pricer
 A Quote Sheet
 An online Spreadsheet
 Stock Volatility Charts
 A Tax Pricer
Games and Puzzles
http://www.cuttheknot.com/games.html
A large collection of interactive mathematics puzzles and games.
Geometry
http://aleph0.clarku.edu/~djoyce/java/elements/usingApplet.html
This geometry applet is used to illustrate Euclid's Elements.
An
Interactive Proof of Pythagoras' Theorem
This is an interactive proof of the Pythagorean Theroem.
http://www.ies.co.jp/math/java/
Contains several dynamic proofs of the Pythagorean Theroem!
http://www.keypress.com/sketchpad/java_gsp/
Info on how to publish Geometer Sketchpad sketches on the web
 plus several demos!
Number Theory & Discrete Mathematics
http://www.cs.washington.edu/homes/jbaer/classes/blaise/blaise.html
Explore patterns in Pascal’s triangle (through the 121st row)!
http://www.math.ohiostate.edu/~btk/Pascal/
Explore patterns in Pascal’s triangle (through the 650th row)!
Probability and Statistics
http://www.stat.uiuc.edu/~stat100/cuwu/
Applets include:
 DATA lets you do some simple statistical data analysis.
 CORRELATIONS asks you to match correlation coefficients with
scatter plots.
 PUT POINTS lets you create your own scatter plot.
 BOX MODELS will perform simple simulations of drawing random
samples from several types of known distributions (or define
your own distribution).
 CHISQUARE lets you input the observed and expected counts
in a simple chisquare table, will simulate the distribution
of the chisquare statistic & estimate the PValue.
 MONTY HALL  simulates the "Let’s Make A Deal" problem
http://www.math.uah.edu/stat/
The Virtual Laboratories in Probability and Statistics provides
interactive, webbased modules and applets for students and teachers.
Modules include:
 Buffon's Experiments
 Card Experiments
 Bernoulli Trials
 The Ball and Urn Experiment
 The Matching Experiment
 Ball and Cell Experiments
 The Poisson Process
 Red and Black
 Probability Spaces
 Combinatorics
 Distributions
 Expected Value
 Descriptive Statistics
 Special Distributions
 The Sample Meam
 Interval Estimation
 Sample Correlation and Regression
 Goodness of Fit
 NonParametric Methods
http://www.stat.sc.edu/rsrch/gasp/
Links to several Applets including:
 A Regression Applet
 A Confidence Interval Applet
 The Let's Make a Deal Applet
 A Histogram Applet
 A Central Limit Theorem Applet
 Interactive Demonstration of the Power of a Hypothesis Test
 A Survival Analysis Applet
 A Normal Approximation to the Binomial Distribution
 A "Small" Effect Size Can Make a Large Difference
 Statiscope
http://members.aol.com/Trane64/java/CardPowersim.html
A Monte Carlo Power Simulation! The Power Simulation applet uses
a Monte Carlo algorithm to generate simulated answers to a hypothetical
survey question.
http://www.math.csusb.edu/faculty/stanton/m262/
Demo Applets include:
 Intro to Probability Models
 Hypergeometric Distribution
 Poisson Distribution
 Normal Distribution
 Proportions
 Confidence Intervals for Means
 The Central Limit Theorem
 Bivariate Normal Distribution
 Linear Regression
 Buffon's Needle
http://www.usfca.edu/histogram_explorer/he.html
Histogram Explorer. The user can view different distributions
(normal, uniform, symmetric, skewed, etc.) and analyze the descriptive
statistics associated with the data shown in the histogram.
http://peabody.vanderbilt.edu/depts/tandl/mted/Proj6_CMT/6MiniTools.html
Computer MiniTools For Exploratory Data Analysis. Includes the
Value Bar MiniTool and the Line Plot MiniTool. ** Excellent
for use with middle school students!
Sites with Comprehensive Lists of Java Links
http://www.useekufind.com/learningquest
http://mathforum.org/library/resource_types/applets/
http://www.ies.co.jp/math/java/index.html
http://www.cuttheknot.com/ctk/index.html
