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- AMOF: The Amazing Mathematical Object Factory - Frank Ruskey
Combinatorial objects are everywhere. How many ways are there to make change for $1 using unlimited numbers of coins of all denominations? Each way is a combinatorial object. AMOF is part encyclopedia and part calculator, a teaching tool that generates mathematical permutations for such combinatorial objects as subsets and combinations, partitions, magic squares, and Fibonacci sequences by allowing the user to define the parameters of discrete objects. The Object Factory returns a list of all objects that satisfy those parameters. The site can be used to learn more about many types of discrete mathematical structures; descriptions of objects progress in complexity for students at different levels. For more advanced materials, see the Combinatorial Object Server (COS).
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- Interactive Mathematics Miscellany and Puzzles - Alexander Bogomolny
"The peculiar beauty of Mathematics lies in deduction, in the dependency of one fact upon another. The less expected a dependency is, the simpler the facts on which the deduction is based - the more beautiful is the result." This award-winning site offers games and puzzles, quotes, and much more on a variety of topics from arithmetic and algebra to geometry and probability, and includes solutions and the mathematical theory behind each puzzle. There are also the CTK Exchange (a small discussion group for questions and answers about math problems); the Eye Opener Series (Java applets that illustrate and help solve or prove math problems); a math bookstore; a glossary; and a monthly interactive column using Java applets for MAA Online. The whole site is available on CD-ROM.
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- K-12 Math Problems, Puzzles, Tips & Tricks - Math Forum
Links to calculation tips (Beat the Calculator, Divisibility Rules, Multiplication Tips), Math Problem sets, and math number and line puzzles.
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- K-12 Teaching Materials (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
An extensive list of Internet sites with significant collections of materials that can be used in the teaching of mathematics at the K-12 level. Organized into categories: lesson plans, schools, software and other K-12 Internet math sites.
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- Mathematics Problem Solving Task Centres (PSTC) - Mathematical Association of Victoria, Australia
A site devoted to all aspects of math problem solving. Includes problems of the month for lower primary, upper primary / lower secondary and upper secondary students; also a "Challenging problem of the month." All have archived solutions. An e-mail list helps teachers and students communicate about problem solving. Links to other problem-solving sites, and an extensive reference section.
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- problemcorner.org - Mark Bowron
An online reference to mathematical problems, comprising a searchable database of 20,000+ math problems from journals and contests including the American Mathematical Monthly, Journal of Recreational Mathematics, Mathematical Questions and Solutions from the Educational Times, and several national and international mathematical olympiads. Search for problems by keyword, source, problem number (requires publication source), year, proposer, solver, or author; or request a randomly-served problem. Search or view comments, search commenters, and post your own comments on problems. Contribute problems through the Web site or by email. The site also outlines technical details of database publishing with TeX. Compiled by MathPro Press and located in the Department of Mathematics and Statistics at the University of Missouri - Rolla.
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- The rec.puzzles Archive
The index of the rec.puzzles archive. Puzzles are categorized by subject area and include solutions compiled from various sources and supposed to be definitive. Subjects include: analysis, arithmetic, combinatorics, competition, decision, geometry, group, induction, language, logic, physics, pickover, probability, real-life, references, series, trivia.
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The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.