 Shedding Light on the Subject: Function Models of Light Decay (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation in which students develop and analyze exponential models for the behavior of light passing through water. Accompanying video clips show the iMath in action in real classrooms.
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 The Shikaku Room  Paul Hutchinson
Given a few numbered squares in a larger grid, block out rectangular and square sections so that each component piece contains the one number that represents its area. Randomly generate or create your own grids — from 4 × 4 up to 20 ×
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 Shmuzzle Puzzle  Sam Savage
Inspired by M.C. Escher's famous tessellation drawings, these salamanders interlock in multiple ways. Physical and online puzzles, a contest, history of the shmuzzle, resources for teachers, and other shmuzzle products.
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 A Short Course in Trigonometry  David Joyce; Dept. of Mathematics & Computer Science, Clark University
An introduction and a guide to trigonometry, with hints and answers to exercises, and Java applets as illustrations. Contents include applications of trigonometry, angle measurement, chords, sines, cosines, tangents and slope, the trigonometry of right
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 Show N Tell Multiplication Table Tutor  Sheela Belur
Audiovisual practice in the multiplication tables. For Internet Explorer on Windows only.
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 ShowTheMath.org  Alan Degener
Enter an algebra equation and then solve it, step by step  manually: use the pulldown menu to describe steps as combining like terms, distributing, expanding, factoring, adding to both sides, subtracting from both sides, dividing both sides, multiplying
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 Sierpinski Shapes  Rick and Donna Joi
An interactive Java applet that allows you to create hundreds of fractal shapes using a variation of the Sierpinski triangle algorithm. Includes a page that provides a nontechnical explanation (with pictures) of the fractal math.
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 Sieve of Eratosthenes  Interactive mathematics Miscellany and Puzzles, Alexander Bogomolny
Sieve of Eratosthenes with an interactive Java illustration. A slight
modification of the Eratosthenes' algorithm leads to a different sieve
that leaves out square numbers. The latter is also accompanied by a Java
illustration.
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 Signing Apps  Vcom3D
Illustrated, interactive 3D sign language dictionaries and pictionaries. Vcom3D developed the Signing Math Dictionary (SMD), Signing Math Pictionary (SMP), and other apps for Deaf or HardofHearing students who use American Sign Language (ASL) or Signed
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 Simeon's World of Magic  Bob Fay
Interactive card tricks on the Web. Pick a card; whisper it out loud; Simeon will always remove it on the next page.
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 Simplex Place  Moshe Sniedovich; Dept. of Mathematics & Statistics, Univ. of Melbourne
An introductory discussion of the Simplex Method used in linear programming problems, with a JavaScript "Simplex Machine" for you to experiment or solve a problem with. Also check out the DP Virtual Studio for a variety of wellknown dynamic programming
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 Simulating Probability Situations Using Box Models (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. Investigations that allow students to explore the relationship between theoretical and experimental probabilities are important in the study of probability and statistics. A "box model" can help students
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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; ttests; Correlation and regression; ANOVA). Simulations include Java applets that
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 SISA: Simple Interactive Statistical Analysis  Daan Uitenbroek
SISA is a collection of procedures for performing simple statistical calculations online, using HTML Forms. SISA's statistical tools include statistical procedures: (sequential probability, ratios, ttest, Fisher exact, two by two table, ordinal tests,
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 Skillswise  BBC Online
Factsheets, worksheets, quizzes, and Flash games on whole numbers; measures, shape and space; fractions, decimals and percentages; and handling data. Resources for tutors include lesson plans, printable tracking sheets, a newsletter, and an expert column
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 Skimming A Century of Calculus  Cut the Knot!, Alexander Bogomolny
A comprehensive effort is under way to modernize instruction in undergraduate mathematics. In the November issue of the FOCUS newsletter, MAA has announced a twoyear $900,000 grant from the NSF to construct the Mathematical Sciences Digital Library (MATHDL).
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 Sliders  Cut the Knot!, Alexander Bogomolny, with Don Greenwell
A variation of the Fifteen puzzle invented by Sam Loyd in the early 1870's: puzzles on graphs, including a proof independent of Wilson's theorem that all Lucky 7 permutations are possible; and variations of Sliders, a Fifteenlike puzzle that can be played
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 Smartkiddies Mathematics  Andy Hobeika
Free interactive lessons, number challenge exercises, worksheets  and visual reporting for instant feedback. To begin, select a year (one through seven, corresponding to Australia's curriculum), then a module, ranging from whole number to position &
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 Smartkiddies Mathematics  Smartkiddies Mathematics
Video lessons, interactive activities, maths games, number challenge drills, worksheets, assessments. Developed by experienced Australian teachersall content is based on the Australian curriculum. Free to all schools and teachers during school hours;
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 SmartZoid
SmartZoid provides online math evaluation and tutoring with a comprehensive free assessment for grades K9.
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 Smith's Stuff: Resources  Mark Smith
Mark Smith shares resources that he has created as a high school teacher: games, mnemonics, activities, sketches, and more. Sign up for a free account if you'd like to share activities here as well.
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 Snap Math  John and Eva McKendrick; Teilhard
A version of the children's game, but to win the cards, you have to do the math. Click on the pack at the left to start; when your card matches the computer's card, you are set a series of math problems. If you answer correctly, you win the cards.
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 Snow Day Calculator  David Sukhin
Enter a ZIP code and number of school days already canceled there due to inclement weather, and the Snow Day Calculator predicts the probability of an early dismissal or no school the following day. Sukhin originally developed his predictive calculator
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 Snowdays  Popular Front
Make your own snowflakes online: point and click to cut anywhere around or inside the folded piece of virtual paper. Preview the unfolded results in real time; when ready, save your design to the searchable gallery, where you may view and download plans
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 Softmath  Neven Jurkovic
Developers of Algebrator, an automated tutor based on Maxima CAS that provides stepbystep solutions to algebra, trigonometry, and statistics problems, and exports answers to MathML. Demo and purchase Algebrator; use Softmath's free online software to
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 SoftSchools.com  Mani Gudavalli
Free math worksheets and interactive online games for practicing times tables, adding, subtracting, telling time, and more. Organized into prek, kindergarten, grades 12, grades 34, grade 5, measurement, and fun games.
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 Software and Animations (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of pointers to specialized software, Java applets, video sequences, and other forms of interactive or animated geometry.
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 Software  Bill White
These Flash apps provide online practice deriving some unknown property of a figure given its other measures. Find the area of a trapezoid given its two base lengths and height; find one of its bases given its area and height; find its height given its
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 Software by Al Jarnow  ProtoZone Interactives
Webbased interactive software excerpted from pattern exhibits at the Long
Island Children's Museum, the National Museum of Science and Industry (London),
and the Brooklyn Childrens's Museum. Introductions to art and math with many patternmaking
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 Solve for n  NASA Lewis Learning Technologies Project
Solve for n: 3/n = 7/12. A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Solve for y  NASA Lewis Learning Technologies Project
Solve the following for y: 12y  16 = 20y. A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 SolveMe Mobiles  Education Development Center, Inc. (EDC)
Colorful interactive hanging sculpture puzzles that challenge prealgebra and algebra students to balance equations by solving for unknown values. Freely solve over a hundred prehung mobiles or build your own and then contribute them to the SolveMe community.
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 Solve My Math  Solvemymath
Online math integrals calculator, derivative calculator, function grapher, math formulas and facts, math quizzes and puzzles.
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 Solve This!  ThinkQuest 2003
Information about eight famous mathematicians, with interactive quizzes, static problems and games.
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 Solving Quadratic Equations  Prakash Sukhu
Introduces the general form of the quadratic equation, and shows how to solve the quadratic equation step by step. Includes methods of factorisation and completing the square, questions to test your knowledge, and an online equation solver with which
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 Some Variations on the Theme of Polyominos  Recmath
Patterns that illustrate how the squares of polyominos are connected to each other. Examples of polyominos with a grid superimposed to illustrate the individual squares; with a line that joins the midpoint of two adjacent square if the squares are connected.
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 So Much Data  William D. May
Based on the book So Much Data, So Little Math, tools for learning to do simple data analysis on data sets. Features the online calculation tools "Easy Correlation Calculations" and "Easy Trend Prediction," with explanations, as well as an example of
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 Soroban in Various Number Systems  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java simulation of Sorobanthe Japanese analogue of the traditional abacus and the Chinese Suan Pan. This is the most economical tool of the three.
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 Source Panel Integrals / Java Matrix Solver  Marc Gerritsma, Jamie Grier
The source panel integrals Javascript can be used to calculate the integrals and the matrix elements of the source panel method (see sec 3.17 of Fundamentals of Aerodynamics, 2nd edition, by J.D. Anderson, jr.). The Java matrix solver can be used to solve
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 SpaceTime  Chris and Stephen DeSalvo
SpaceTime develops mathematics software for personal digital assistants (PDAs) and other mobile devices such as Pocket PCs, Palm Pilots, and smartphones. Play JavaScript and Flash games in the arcade: ArithmeTick, Math Scramble, Math Mountain, Snake,
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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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 Special Functions in WolframAlpha  Michael Trott
Special functions describe a large number of phenomena in mathematical physics and other disciplines. Michael Trott posts here about WolframAlpha's treatment of these functions. In particular, there are some with two forms: a simpler version that makes
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 Speed Math Trainer  Jimmy Ruska
Flashbased, very tiny file size, speed math program including a Google video tutorial. Watching the video tutorial is highly recommended as the program can be tricky to use. Free for redistribution and potentially useful for anyone wishing to increase
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 Spherical Geometry Demo  John M Sullivan, University of Illinois
An applet demonstrating several features of spherical geometry, among them the parallel transport of tangent vectors, and the fact that the angles of triangles may not sum to 180 degrees.
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 SPIMSOW: Swarthmore Summer Project for the Implementation of Mathematical Software on the Web  Bouttenot, Parlikar; Mathematics & Statistics Dept., Swarthmore College & Math Forum
The product of a 1998 summer project investigating current Weboriented mathematical software. The site explores the capabilities of the new Web versions of Mathematica, Maple, and MathView, offering tutorials on configuring the software and creating
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 Spirograph  Anu Garg
A Spirograph is formed by rolling a circle inside or outside of another circle. The pen is placed at any point on the rolling circle. This applet has changeable colors as well.
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 Spliddit  Procaccia, Ariel; Goldman, Jonathan
Provably fair solutions to the everyday dilemmas of splitting rent, dividing goods, and sharing credit. Spliddit's algorithms account for individual rationality, efficiency, maximin share, proportionality, the highest feasibility level of fairness, impartiality,
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 Spreading Memes  Cut the Knot!, Alexander Bogomolny
First of a series of interactive columns for MAA Online that use Java applets to simulate a puzzle or mathematical problem, one not stated directly since the applets are intended to be such that the right answer to an as yet unstated problem should be
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 Spy Guys: Online Elementary Mathematics Resource  Mathematics 6  LearnAlberta.ca
This Flash 5 site includes lessons (Decimals; Improper Fractions and Mixed Numbers; Ratio; Percent; Solving Problems with Decimals; Understanding Integers; Factors, Multiples, and Prime Factorization; Summarizing and Extending Patterns; Rounding Numbers;
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 Square Root Calculator  Chris Misenheimer
This interactive square root calculator calculates the square root of positive, negative, imaginary, and complex numbers, rounded to seven decimal places. Short articles include "Square roots and area," "Square roots without a calculator," and "What does
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