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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). more>> 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; a monthly interactive column using Java applets for MAA Online; and the CTK Insights blog. The whole site is available on CD-ROM. more>> 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. more>> 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. more>> 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. more>>

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