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- A+ Math
A site developed to help elementary school students improve their math skills interactively, offering: educational math games (learn basic operations and geometry by playing MATHO - bingo and math combined; Hidden Picture; and Concentration), Web flash cards for practicing rounding, area, square roots, inequalities, fractions, counting money, geometric shapes; and Homework Helper, which lets you enter your addition, subtraction, multiplication or division problem and your answer, then checks to see if it's correct. Also Advanced Problems which allows you to select the kind of problem you want to practice and checks your answers.
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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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- Aunty Math - Angela Giglio Andrews; DuPage Children's Museum
An every-other-week math challenge for grades K-3 from "Aunty Math." Each challenge is presented in the form of a story taken from the life of Aunty Math, her two nephews, and her niece. Students with questions or suggestions can e-mail Aunty Math directly, and a Tips for the Current Challenge page provides suggestions for modifying or extending each problem. Students may also submit solutions and read what others have written from Aunty Math's Solutions page, and there are also recommended problem solving strategies described on the kids' "Find out about the challenge" page.
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- Fibonacci Numbers and the Golden Section - Ron Knott
Information about the Fibonacci series, including a brief biography of Fibonacci, the numerical properties of the series, and the ways it is manifested in nature. Fibonacci numbers are closely related to the golden ratio (also known as the golden mean, golden number, golden section) and golden string. Includes: geometric applications of the golden ratio; Fibonacci puzzles; the Fibonacci rabbit binary sequence; the golden section in art, architecture, and music; using Fibonacci bases to represent integers; Fibonacci Forgeries (or "Fibonacci Fibs"); Lucas Numbers; a list of Fibonacci and Phi Formulae; references; and ways to use Fibonacci numbers to calculate the golden ratio.
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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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- Kids' Place Brain Teasers - Houghton Mifflin Company
Math puzzles for grades 3-4, 5-6, and 7+. You don't need to be a math whiz to solve them, just to be patient and find different ways of looking at things. New puzzles and the answer to the previous week's puzzles are posted each Thursday. Helpful hints and an archive are included.
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- Magic Squares: Math, History, Geography - Suzanne Alejandre
Designed primarily for middle school and older elementary school students, this Math Forum Web unit includes classroom activities for four different squares: Lo Shu, Sator, Dürer, and Franklin, three of them demonstrating increasing complexity using numbers, and one made up of letters, with number and symmetry questions and links and suggestions for history / geography / writing activities for teachers interested in interdisciplinary work. Includes directions for building magic squares, definitions, discussion of some special properties of magic squares, a Java applet, and links to other magic square Web sites.
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- Mathematical Games and Recreations - MacTutor Math History Archives
Number games, geometrical puzzles, network problems and combinatorial problems by famous mathematicians, starting around 1850 B.C. and continuing on to the present, with links to biographies of mathematicians who invented the games, pictures, and graphs. Rhind papyrus, Fibonacci, Archimedes, Dodgson, Durer, Recorde, Cardan, Lucas, Tartaglia, Bachet, Euler, and many more. 13 references.
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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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- Math for Morons Like Us - ThinkQuest 1998
Students talk to students about math: a site designed to help you understand math concepts better. Tutorials, sample problems, and quizzes for Pre-Algebra, Algebra, Geometry, Algebra II, and Pre-Calc/Calculus, designed assuming you know some of the basic concepts but need reinforcement, or want to review things you learned in the past. Interactive resources include a message board, calculus board, formula database, quizzes, math links, and a place to send feedback.
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- Monthly Themes - NRICH Maths, Univ. of Cambridge
Past problems from the NRICH Online Maths Club, archived by month. Each problem has a symbol indicating the stage, which tells you how little or how much mathematics you need to know to solve the problem but is no indication of its difficulty. The five stages correspond to ages 5-7, 7-11, 11-14, 14-16 and 16-18, and indicate that students in the UK normally meet the maths required during that key stage.
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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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- Problem Solving in Mathematics - Jim Wilson; Univ. of Georgia
Problems in algebra, geometry, conversion, cryptarithm, "mean," trigonometry, and a mixture of all, many with comments and solutions, from a course given in the Dept. of Mathematics Education at the University of Georgia. The site also provides links to papers, including "Mathematical Problem Solving" (Wilson, Fernandez, & Hathaway), a synthesis of research on problem solving [published as ch. 4 in Wilson, P. S. (Ed.) (1993), Research Ideas for the Classroom: High School Mathematics, New York: MacMillan].
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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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- Tangrams - Tom Scavo
Tangrams, a puzzle that helps develop spatial-visualization skills, may also be used to introduce or reinforce geometric concepts such as congruence, similarity, symmetry, etc. This unit for grades 4 through 6 uses tangrams to compute the area of polygons without formulas, introducing the terms congruent and similar. Contents: Constructing Your Own Set of Tangrams; The Area of Tangram Pieces; More Tangram Activities. Links to other tangram resources on the Web are also provided.
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The Math Forum is a research and educational enterprise of the Drexel School of Education.