 Proofs Without Words  Cut the Knot!, Alexander Bogomolny
Martin Gardner wrote, "There is no more effective aid in understanding certain algebraic identities than a good diagram. One should, of course, know how to manipulate algebraic symbols to obtain proofs, but in many cases a dull proof can be supplemented
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 Puzzle Choice
A wide choice of puzzles and games for all ages, including crosswords, wordsearches, brainteasers, number puzzles (a calculator is provided), logics, teacher resources and other online games, including mazes.
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 Puzzle explorer  Wade Philpott
Links to mathematical games invented by Philpott and now for sale: Multimatch and Leap (originally Sweep).
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 Puzzlemaker  Discovery Education
A puzzle generation tool for teachers, students and parents. Create and print customized puzzles, including math squares and number blocks, online, or buy a CD with editing tools and other extras.
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Puzzles/Oneplayer Games  Jürg Nievergelt
Rubik's Cube and its variants. The 3*3*3* cube; Rubik's Revenge (4*4*4 cube); Pyramix (tetrahedron); Rubik's Clock; Rubik's Magic. Also Cryptequations, polyominoes, and links to a list of similar puzzles.
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 Puzzles, & Riddles  The Contest Center  Frank Rubin
Hundreds of puzzles and mathematical problems ranging from kindergarten through postdoctoral levels. For the easier puzzles, answers are provided on the site; names of those who submit correct solutions to harder problems are posted. See also Puzzles
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 Puzzle Up  Binary Arts Corporation
A collection of others' Java puzzles, baffler and logic questions, "for serious puzzlers," best of the week, and mazes and mysteries, each organized into the three different skill levels of young, brisk, and expert. Also, information on the company's
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 Pythagoras Plays Ball  Ivars Peterson (MathLand)
Spring, baseball, statistics, math. In many ways, baseball is a numbers game: Strikeouts, home runs, batting averages, innings pitched, complete games, earned run averages, number of players left on base in scoring position in the bottom of the ninth
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 Quadramania  CleverMedia
Use tiles of different shapes to form rectangles and earn points  ten times the square of the total number of tiles in the rectangle. Requires the Flash plugin.
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 The Quadray Papers  Kirby Urner, 4D Solutions
An Introduction to Quadrays. The game of quadrays starts with a regular tetrahedron and four rays pointing from its center to the four corners; these or any ray built from these rays are labelled 4tuples  i.e. four numbers separated by commas and enclosed
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 Quia!  The Learning Group
Create your own Javaenabled quizzes, home pages, and learning games to play over the Internet: enter your material into a form, select a few options, and press a button. Games have been created and are available for browsing in mathematics, as well as:
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 Quiximity  CleverMedia
Race against the clock to find threeofakind that match in color or shape, earning point bonuses for objects adjacent to one another. Requires the Flash plugin.
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 QuizTree Math Games  Sierra Vista Software
A collection of online math quizzes in addition, subtraction, multiplication, and division.
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 Rainforest Maths  Jenny Eather
Flashbased interactive mathematics activities with an Australian rainforest theme, for grades K through 6. Topics include: Number & Number Systems; Operations & Calculations; Strategies & Processes; Patterns & Algebra; Measurement; Space & Geometry;
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 Rebecca Newburn
Links to this California teacher's Math 7 blog, and to her professional blog, a "fusion of best teaching practices, integrating technology and increasing compassion in and outside of the classroom." See also Newburn's select compilation of explanations,
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 Reflections on Deep Blue  Keith Devlin (Devlin's Angle)
We generally assume that the ability to play a good game of chess requires intelligence when it comes to people. Why not for chessplaying machines as well? Well, here is one argument that shows that things are not so simple. One aspect of human intelligence,
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 Reflex  ExploreLearning
This gamebased system helps students develop instant recall of basic math facts (addition, subtraction, multiplication, and division), continuously monitoring performance for individualized instruction. Download a trial, take tours of the software package,
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 Repeated Prisoner's Dilemma Applet  Mike Shor
A repeated prisoner's dilemma game in which the user plays for twentyfive
rounds against each of five different (unknown) 'personality types'. Demonstrates the value of cooperation and the ability to take advantage of
some simple rules.
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 The Review Corner
Reviews of educational products for children, including software, books, music, videos and DVDs, toys, and games. Most of the math items are in the software section.
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 Rigol'Math: énigmes, problèmes et curiosités mathématiques  JeanMarc Deleuze
Le calcul de Pi; le Jeu de Nim; Convertisseur base 10 > base 2; Multiplier sur les doigts; Multiplication égyptienne; Le carré magique; TicTacToe; Coloriage; et beaucoup plus.
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 Rolling and Learning® with trisquare dice  Creative Enterprises, Inc.
A book describing math games to be played with 14sided dice, suitable for grades K6 or 8. Order form available on the web.
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 Rolocu: the Colour Twist Puzzle  Charles Edge
Use logic and planning to put the pieces into place so that all rows and columns have all the colours in them.
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 RU4Math
Games and events for elementaryaged students from Pulaski and Montgomery counties, and Radford City schools, who participated in the RU4Math Fest of March 22, 2003, held at Radford University. Shockwave games about logic and simple equations, currency
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 Rubik's Cube Information  Michael Reid
All about Rubik's Cube  even a mailing list. Site contents include: the Nederlandse Kubus Club; Rubik's cube pages on the Web; Cube books; Sources of cubelike puzzles; the author's notes, including an optimal cube solver; other Cube solutions on the
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 Rubik's Cube Java Applet  Michael Schubart
To twist the cube, press the mouse button over a cubelet face that belongs to the slice you want to move. Keeping the button pressed, drag the mouse in the desired direction; then release the button. Moving the whole cube is done in the same way  just
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 Rubik's Games  Androsoft
Dedicated to the first PC CDROM game from Erno Rubik, Rubik's Games contains 5 subgames: Rubik's Classic, Cover Up, Paint War, Rubik's Playground and ZigThrough. Download the Rubik's Games Web Site Plugin plugin or a demo of the Rubik's Game CDROM.
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 Rubik's Online  Rubik/Seven Towns
The official online site for the Rubik's cube. Play with the cube and other Rubik's games and puzzles online; find information on where to buy Rubik's products; use the forum to exchange views, opinions, comments, suggestions and anecdotes related to
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 Rubix Corner  Duane Cash
The site includes information regarding the Duane Cash Cube Collection now featured at Hessport's Rubikshop in their "collectibles" section. New puzzles include the Rubik's Triamese, Fusion, Fusion+, SpeedFusion, 5x3, and 4x3 Cubes, which give those interested
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 Science Education at Jefferson Lab  Thomas Jefferson National Accelerator Facility (Jefferson Lab)
Educational resources for students (homework help links; programs and events; games and puzzles; internships) and teachers (summer programs; reference links; distance learning programs; activities, worksheets, and games). See, in particular, Jefferson
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 Second Grade (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering basic arithmetic
concepts and methods, for second grade.
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 Secret Millionaires Club  A Squared Entertainment LLC
Lessons, webisodes, and prime time specials that use reallife situations to teach young people how to succeed in life and in business. See, in particular, the free financial literacy classroom materials available through the Learn and Earn promotion.
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 Sense and Dollars  Maryland Public Television
The Sense and Dollars project helps middle and high school students learn about and practice effective ways of earning, spending, saving, and investing money in a safe, interactive environment. Activities include: Earning Money (All About the Benjamins,
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 Septangle  Paul Nahay
Play the game, Septangle, online! Septangle is copyrighted by Dr. Paul Nahay, (DMA, Stanford University 1983).
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 The Set Game Company  Set Enterprises Inc.
SetGame is a family game of visual perception. Take the Java tutorial; learn the math behind the game (create a 3x3 magic square with SET cards, learn why the largest possible "no set" contains 20 cards, explore set theory and set operations involved
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 The SET Home Page  Magliery, Weeks
A page "dedicated to the entertaining and highly addictive game of SET." The object of the game is to identify a 'Set' of three cards from 12 cards laid out on the table. Each card has a variation of the following four features: color, symbol, number
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 Shady Puzzles  LambdaMu Pte Ltd
A logic and elimination (disjunctive syllogism) puzzle: the column and row headers identify the number and spacing of shaded squares within a gridplace shaded squares where they belong according to those guides. The site includes a history of the puzzles,
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 Sheppard Software
Software for SAT, GRE, math, and more, including: Algebra  One On One (covers 21 functions), License Plate Math (puzzles for ages 9 and up), Brain Builder  Math Edition (over 500 million puzzles), Math Function Mania (a multimedia game for grades 712
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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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 Silicon Champions of the Game  Ivars Peterson  Science News Online
Deep Blue's triumph over Gary Kasparov in May of 1997 marked the first match victory by a chessplaying computer over a reigning world champion. Some of the world's top computer programs are also playing backgammon, bridge, checkers, chess, Go, Othello,
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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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 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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 Slinky Science  National Engineers Week Committee
Classroom activities include Racing Slinkys, which describes how inertia, gravity, potential energy, kinetic energy, and longitudinal waves are demonstrated when the Slinky "walks" down stairs or an incline; Slinky Waves, which outlines how Slinkys exhibit
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 Só Matemática  Só Matemática
Material para ensino fundamental, médio e superior, além de provas online, biografias de matemáticos, trabalhos de alunos, um acervo de softwares matemáticos, artigos, jogos, curiosidades, histórias, fóruns de
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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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 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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 Solitairey Sequences  Ivars Peterson (MathTrek)
Solitaire on the computer screen  called Klondike or Idiot's Delight, this form of solitaire has resisted mathematical analysis. Partly because Klondike involves player choice, no one has yet been able to construct a mathematical model of the game from
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 Solving the Rubik's Cube  Matthew Monroe
Instructions, popularized by Minh Thai, the National Champion cube solver, for solving a 3x3x3 Rubik's Cube. Also, instructions for how to solve a cube when it has oriented pictures on each face. Directions for solving a 2x2x2 Rubik's mini cube, the professor
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 Sommer Cube  Michael Sommer
The faces of the modular Sommer Cube (S3) feed into twisted conduits that comprise a threedimensional, tunnelling maze. The website provides example arrangements and construction questions such as "Given that a ball must exit at the lowest S3 level and
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 Sprouts for Spring  Ivars Peterson (MathLand)
The game of sprouts has a way of growing on you. This twoperson, pencilandpaper game is simple enough that children can play it. Yet its intricacies provide much food for mathematical thought. The players start with a certain number of dots scattered
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 Starship Maths  BBC Learning
Six different interactive games, with accompanying resources for teachers and parents, designed for students ages 57: Place the Penguins  Cross the Swamp  Calamity's Quest  Park the Pods  Alien Cookbook  Number Jumbler. Print and Do, Teachers, Parents.
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