- 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 non-commercial 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 Over-The-Net 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 peer-reviewed 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, full-color graphics;
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- Lorenz Attractor: Simulation/Plotter - John Brecht
This program is a three-dimensional plotting package and a numerical integrator. As an example, it is set to integrate the Lorenz Attractor problem. The applet features user-defined rotations of the coordinate system, depth-based shading of the colors,
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- Mamikon - Mamikon Mnatsakanian
Thought-provoking 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 co-authored 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, 2-dimensional harmonic disturbance; 2-dimensional 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 K-6; and Visualizing Mathematics, for grades 7-12. Learn about and download
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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 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, research-based 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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- 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, DEC-Alpha, 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 real-time. 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
Distance-Rate-Time Problems in Air Traffic Control for Grades 5-9. Six rich, standards-linked 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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- 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
Out-of-the-ordinary probability problems. The site focuses on using methods of probability to solve counter-intuitive 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 straight-in 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 DARPA-funded 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 Online--an introductory-level hypertext statistics book, with links to other statistics resources on the Web; simulations/demonstrations--Java 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, t-intervals 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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- Science Buddies - Kenneth Lafferty Hess Family Charitable Foundation
Science Buddies supports hands-on scientific investigations by providing free science fair project ideas, answers, and tools to teachers, parents, and students. Programs focus on involving science and technology professionals to interact directly and
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- Simulations & Demos - Rice Virtual Lab in Statistics
An integrated set of simulations, demonstrations, and case studies from the Data Analysis Lab (choose statistical analyses: Descriptive; Histogram; Boxplot; Stem and Leaf; t-tests; Correlation and regression; ANOVA). Simulations include Java applets that
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- Soliton Lab Art Gallery - Kanehisa Takasaki, Takasaki Lab, Kyoto University
The site contains a soliton-lab as well as links to mathematics galleries. The special exhibition section contains links to related sites from around the world while the permanent exhibition section is an explanation of solitons with more
links to other
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- Soroban in Various Number Systems - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java simulation of Soroban--the Japanese analogue of the traditional abacus and the Chinese Suan Pan. This is the most economical tool of the three.
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- Space Time Travel - Ute Kraus and Corvin Zahn (Theoretische Astrophysik Tübingen)
Black holes and travel at nearly the speed of light: Visualization of the theory of relativity. Online papers, images, movies and paper models. English version of the German site.
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- Spatialised Prisoner's Dilemma: Evolution Simulator - Wayne Davis
Spatialised version of the Iterated Prisoner's Dilemma game theory that allows the users to set their own strategies and simulate evolution of strategies: Coded in Javascript by Wayne Davis.
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- stella2java - Shodor Education Foundation, Inc.
Use Stella2java to make Java applets out of the modeling software package Systems Thinking Experimental Learning Laboratory with Animation (STELLA). Copy and paste your equations from Stella into a web form, answer a few questions, and download your applet.
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- The Stock Market Game (SMG2000) - Securities Industry Foundation for Economic Education (SIFEE)
The Stock Market Game (SMG2000) is an electronic simulation of Wall Street
trading, designed to help students and adults understand the stock market, the
costs and benefits involved in decision-making, the sources and uses of capital
and other related
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