 Invest Smart  David Leung, George Lee, and Andy Kim
Learn about the stock market and investment techniques. A Market Simulation lets classes, clubs, or individuals invest an imaginary $100,000 and track the results; includes a separate mutual funds simulation. Site also contains information about saving
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 Java Simulations of Cellular Automata Models  Ed Young and L. Charles Biehl
The Forest Fires simulation applet models the spread of fire as a function of the probability that a burning tree will set its neighbor afire, and can include factors of wind and obstacles. The Percolating Oil Spill simulation applet models the percolation
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 John Taylor's Home Page  John Taylor; University of Brighton
Taylor's other activities include Maple generated animations: vary gradients or intercepts in equations for a straight line, change coefficients of quadratic curves or cubic curves, draw tangents to conics, model a nondifferentiable surface, and construct
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 K3DSurf  Abderrahman Taha
Download a program for visualizing and manipulating mathematical models in three, four, five and six dimensions. K3DSurf features interactive visualization with mouse events, real time animation and morph, and mesh file generation.
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 Kangaroo Maths  Kangaroo Maths Ltd
Free maths resources to download in number, algebra, shape and space, and data handling. Assessments include homework sheets and "make the grade" tests; games and puzzles offer World Cup spreadsheet simulations. Kangaroo Maths also hosts Microsoft Word
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 Keep the Traffic Moving!  Dept. of Mathematics, University of Toronto, Canada
Be your own traffic engineer and use this computer simulation to find out how far apart to space the light changes for a given scenario. Includes mathematical models and related questions.
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 The komplex plane  Travis Kowalski
Kowalski's problems, animations, tutorials, and other "mathlets" focus on calculus. See also the jokes collected by this professor at South Dakota's School of Mines, and his blog of math musings that wonder at the mathematics in everything from quilts
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 Learning by Simulations  Hans Lohninger, Virtual Institute of Applied Science
Simulation software for Windows PCs, available free for noncommercial educational purposes. (The author requests a postcard describing your use of his programs.) Covered math topics include: Fourier Synthesis, Travelling Salesman Problem, Vector Fields,
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 LEDA Research  Michael Seel
LEDA is a library of the data types and algorithms of combinatorial computing. Try the OverTheNet Demo which allows you to play with some computational geometry algorithms provided by LEDA; download commercial or research packages and licenses; read
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 Let 'Em Roll™ Simulation  Matthew Carpenter
The goal of this activity is to demonstrate a real world situation where the probabilities of mutually exclusive and independent events occur. Each student is asked to calculate the experimental and theoretical probabilities of these events. Students
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 Liz's Research Interests  Liz Bradley, Department of Computer Science, University of Colorado
Artificial intelligence projects include Chaography, a pair of tools that use mathematics to generate choreographic variations: Chaographer, which uses a chaotic mapping to generate variations on a musical piece; and MotionMind, which uses machine learning
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 Loci  Mathematical Association of America (MAA)
Loci is a peerreviewed journal publishing articles, modules, applets, and reviews continuously as they are ready to be posted. Loci takes advantage of the World Wide Web as a publication medium for materials containing dynamic, fullcolor graphics;
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 Lorenz Attractor: Simulation/Plotter  John Brecht
This program is a threedimensional plotting package and a numerical integrator. As an example, it is set to integrate the Lorenz Attractor problem. The applet features userdefined rotations of the coordinate system, depthbased shading of the colors,
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 Mamikon  Mamikon Mnatsakanian
Thoughtprovoking Shockwave Flash animations of geometric constructions, graphs, games, and much more. Mnatsakanian's site http://www.mamikon.com/ links to dozens of the articles he has coauthored with Tom Apostol in journals such as American Mathematical
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 MASTER Tools: Modeling And Simulation Tools for Education Reform  Shodor Education Foundation, Inc.
Interactive models and curricular materials, including: a galaxy simulation, fractal modelling tools, an energy minimization program using simulated annealing, biomedical and environmental models, a graphing tool with animation option, and a simulation
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 Mathematical Ideas in Science  Seven Stones Multimedia
A series of tutorial modules using JavaScript, Shockwave for Director, or Shockwave Flash: sphere packings, shapes and lattices; waves described, longitudinal and transverse wave lab, 2dimensional harmonic disturbance; 2dimensional vector components
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 Mathematical Machines  Museum of Natural Science and Scientific Instruments of the University of Modena
Models of machines based on scientific and technical literature dating back to classical Greece. Among other didactic goals, La collezione di Macchine Matematiche aims to foster reflection on the historical relationships between mathematics, society,
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 Mathematical Sciences Digital Library (MathDL)  Mathematical Association of America (MAA)
The MAA's Pathway project within the National Science Digital Library, this site combines the earlier MathDL and Math Gateway sites. The online publication Loci continues the tradition of the three earlier online publications (JOMA, DCR, and Convergence).
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 Mathematics  Centre for Educational Technology (CET)
A research and development center for math education. Read descriptions of CET's programs and workbooks, including One, Two and Three (Aahat, Shtayim, Ve Shalosh), for grades K6; and Visualizing Mathematics, for grades 712. Learn about and download
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 Mathematics Task Centre  Black Douglas Professional Education Services
Over 200 tasks that "invite students to work like a mathematician." Conceiving of a task as "the tip of a learning iceberg," each freely viewable lesson plan includes a summary, a list of materials required, the "Iceberg," and a description of whole class
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 mathlab.com  Mehrdad Simkani
A Java applet of unmarked straightedge and collapsible compass tools to virtually draw the lines and circles fundamental to Euclidean geometry. The help page explains how to use the Euclid applet, and contains descriptions for constructing found in propositions
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 Math Machines  Math Machines, Ltd.
Workshops for building control devices and performing classroom activities with calculator programs in order to explore relationships between math and science. Simple devices that give an immediate, physical, dynamic expression to abstract mathematical
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 Math Open Reference  John Page
Page's free online geometry textbook provides interactive animations of geometry topics to enliven the teaching process and give students a deeper level of comprehension. With a glossary, quizzes, simulations such as "how to read a protractor," a graphing
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 Math  PhET Simulations  University of Colorado
Dozens of free interactive, researchbased simulations of mathematical phenomena, from arithmetic, estimation, graphing lines, and Plinko probability, to projectile motion, wave on a string, Fourier (making waves), and blackbody spectrum. PhET's Java
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 The MathServ Project  Dept. of Mathematics and Owen Graduate School of Management, Vanderbilt Univ.
Software tools and information to facilitate the creation of instructional
materials that can be accessed through the World Wide Web and that require the interactive use of mathematical concepts. Examples include a Calculus Toolkit (algebra, functions,
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 MathWorlds  SimCalc: Simulations for Calculus Learning
MathWorlds enables students to learn through exploration of animated worlds and dynamic graphs. The worlds present moving objects and characters in a variety of settings, such as elevators in a building or duckies on a pond. Manipulable graphs control
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 Matthew Conroy's Page of Mathematics  Matthew Conroy
An analytic number theorist's mathematical notes on the p + 1 problem, dice problems, a sequence related to a conjecture of Schinzel, statistics connected to the Grand Tours (Tour de France, Giro, and Vuelta), integer sequence noise, a Javabased dictionary
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 Misunderstood Minds  PBS
The science behind learning difference, and strategies to aid success in school, are available on this companion Web site for the Misunderstood Minds PBS documentary. The site includes profiles of the students in the documentary, as well as sections on
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 MLAB  Civilized Software, Inc.
An advanced mathematical and statistical modeling system running on PC, Mac, SUN, RS600, DECAlpha, Convex, SGI, NeXT (Motorola, Intel, and HP). A tool for mathematical and statistical exploration, and for solving simulation and modeling problems such
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 Modeling and Simulation (Graphics Archive, Special Topics)  The Geometry Center
Research involving the use of computer programs to model the real world, for example, the way that light reflects off a curved surface, or the way a
diver rotates and flips during a dive.
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 The Monkey Shakespeare Simulator  AardAsNails Software
Simulating monkeys typing randomly on typewriters, this Java applet displays output that matches text from any of Shakespeare's plays in realtime. To raise the chances of "interesting results within our lifetimes," this simulation runs at an accelerated
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 Monte Carlo Simulation  National Physical Laboratory
This online MonteCarlo simulator accepts parameters, then generates results for each run and a summary output.
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 The Music of the Primes  Marcus du Sautoy
An article on the Riemann Hypothesis, "the greatest unsolved problem of mathematics."
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 Napier Bones  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java simulation of the Napier bones, simple device for multiplying numbers, here used to demonstrate multiplying in bases other than ten.
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 NASA Smart Skies FlyBy Math  NASA Airspace Systems: Ames Research Center
DistanceRateTime Problems in Air Traffic Control for Grades 59. Six rich, standardslinked problems, each with student worksheets and teacher guides and related materials. Each features a guided experiment for students to carry out. Worksheets provide
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 ncase  Nicky Case
Interactive projects that illuminate principles of game theory, logic, and other topics, such as the parable of the paragons (with Vi Hart), coming out simulator (a halftrue game about halftruths), and sight & light (how to create 2D visibility/shadows
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 Numeracy Works  David Hartmann, Numeracy Works LLC
Numeracy Works is a commercial software company which sells Tabula, a new tool for math education. Use Tabula to create, construct, cut, tape, fold, and transform. Make fold patterns, tiling patterns, tessellations, and perspective drawings. Also on
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 Numerical Integration Tutorial  Joseph L. Zachary
A tutorial that explores rectangular and trapezoidal methods for numerical integration. Includes a Java applet that opens in a separate window, for use alongside the tutorial. From a Computer Science course at the University of Utah, and the book Introduction
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 Optimization Technology Center  Argonne National Laboratory and Northwestern University
A research center dedicated to optimization problems. The "optimization tree," with descriptions of the different subfields of numerical optimization; interactive demonstrations and case studies, including the diet problem and minimum surface area; linear
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 Physics Simulation in Java  Erik Neumann
Physics simulations, including springs and masses (various configurations), pendulums (single, double, chaotic), and roller coasters. You can move objects or change parameters like gravity, friction, etc.
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 Place Value Chart  Ulrich Kortenkamp
Tap below this interactive place value chart app's headers labeled "ones," "tens," and "hundreds" to create tokens and begin experiencing bundling and debundling in our decimal number system. Compatible with the Apple iPhone, iPod, and iPad; also available
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 Planetqhe (Probabilistic Learning Activities Network)  David Kay Harris
Outoftheordinary probability problems. The site focuses on using methods of probability to solve counterintuitive problems and deepen students' understanding and competence in the domain. Sections include: a brief history and rationale of the site;
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 PolygonFlux  John Miller
An iPad app for exploring the path taken by a point bouncing around inside a regular polygon of 3 to 14 sides. Set the initial angle and starting location, the number of bounces, and the number of sides for the polygon; collect an album of resulting "fluxagons"
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 PolygonTrix  John Miller
A "polygon billiards" app for the iPad. Sink simple straightin shots, without any deflections; challenge yourself to bank the cue ball into the pocket after as many as ten caroms off the bumpers; or explore the developer's exercises. Switch amongst a
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 Powersim
A simulation software development company, offering consultant and support services for simulator design, construction, and use as well as the complementary software needed to build models and simulators. The site offers discussion groups, products, newsletters,
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 The Quake Project  The Department of Civil and Environmental Engineering and the School of Computer Science at Carnegie Mellon University; and the University of Southern California's Southern California Earthquake Center (SCEC)
An NSF and DARPAfunded project developing the capability for predicting, by computer simulation, the ground motion of large basins during strong earthquakes, and using this capability to study the seismic response of the Greater Los Angeles Basin. Research
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 Quite BASIC  Nikko Strom
A JavaScript environment for coding in the classic BASIC programming language. Math projects include the Fibonacci Sequence, Fibonacci Squares, the Sieve of Eratosthenes, and Mandelbrot; puzzles include the Towers of Hanoi and variations of the Eight
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 Rational Number Tutorial  Joseph L. Zachary
A tutorial that explores the nature of rational numbers, the significance of the minimum and maximum integers in a rational number system, and the meaning of overflow. Includes a Java applet that opens in a separate window, for use alongside the tutorial.
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 Rice Virtual Lab in Statistics  David M. Lane, Rice University
A comprehensive interactive resource for studying statistics, in four modules: HyperStat Onlinean introductorylevel hypertext statistics book, with links to other statistics resources on the Web; simulations/demonstrationsJava applets that display
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 Rossman/Chance Applet Collection  Franciso Garcia, Carlos Lima, and Beth Chance
Applets for simulating confidence intervals for population parameter, tintervals for different population shapes, behavior of regression line, histogram bin width, sampling Reeses Pieces, sampling 2002 U.S. Senators, sampling pennies, sampling words
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