 From Counting to Writing  Ivars Peterson (MathLand)
Abstract numbers are the product of a long cultural evolution. They also apparently played a crucial role in the development of writing in the Middle East. Indeed, numbers came before letters, contends archaeologist Denise SchmandtBesserat of the University
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 From Lewis Carroll to Archimedes  Cut the Knot!, Alexander Bogomolny
On March 29, 1879, Vanity Fair began offering its subscribers a new weekly puzzle invented by Lewis Carroll... on March 17, 1953 Frank Gray, a research scientist at Bell Labs, filed patent no. 2632058, for the Gray code encoding
the vacuum tube. An ndigit
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 From Number to Formula  Ivars Peterson (MathLand)
Given the number 1.6180339887, how can you find out whether this particular number is special in some way, as the output of a specific formula or the value of a familiar mathematical function? Do you have a favorite number: Pi, the golden ratio, e (Napier's
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 Funforms: a New Math Learning System  Joel S. Steinberg
An abacus or sliderulelike notation system, essentially binary (though a trinary system also exists). The web site includes a description of how to use it, and suggests that it might be taught to preschoolers as a game, or used to teach math concepts
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 Funny Arithmetic  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java game: using arithmetic, logical, and bitwise shift operators and parenthesis, build an arithmetic expression with as many Base digits as specified in the Number of occurrences. Your expression should evaluate to the specified Goal. For example,
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 Fun with maths!  Stuff Media, U.K.
Puzzles for which you need shockwave installed on your computer. (You can download it from this site.) Number Square (add numbers and see them grow, smash them with a fist, make patterns); Think of a number between one and nine, multiply it by 5... will
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 Gamco Education Materials: Educational Software for K12
Programs for Macintosh and Windows, with downloadable demo versions. Math programs include: Skillbuilders (perimeter, area, volume, whole numbers, fractions); Paws and Pyramids (perimeter/area/volume game); Word Problem Square Off Series; Touchdown Math
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 GEM: Gateway to Educational Materials  National Library of Education (NLE)
A database for education links, intended to be more useful for teachers than a search engine. It records the resources of its consortium members (information on joining the consortium is available onsite). Users are able to: browse through lists organized
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 Gerard M. Enright
The resume of a mathematics professor at Mary Immaculate College in Ireland. Articles on using BASIC programs in the classroom (to search for numbers that are both square and triangular and to investigate a conjecture about a function of the nonnegative
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 GoKidding  Sarveshwar Rao
Flash activities on counting, adding, subtracting, and naming shapes (polygons). Worksheets include circle mazes, fun with circles, and fun with triangles.
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 Greater Than, Less Than Symbols  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about "greater than" (>) and "less than" (<) symbols, such as memory aids for telling the difference between the two.
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 Greg Tang Math  Greg Tang
Educational materials that combine problemsolving and arithmetic, and integrate math with language and art, from the author of The Grapes of Math, Math For All Seasons, The Best of Times, Math Appeal, Mathterpieces, Math Fables, and Math Potatoes. In
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 Grid Puzzle  Rick Reed
A magic square Java applet that presents a 4x4 grid with mixedup numbers in it: drag individual numbers or flip, move, or swap rows and columns to make diagonals, rows, and columns add to 34.
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 Groups, Graphs, and Paul Erdös  Ivars Peterson (MathLand)
The relative isolation that Andrew Wiles sought in solving Fermat's Last Theorem is certainly not the rule in mathematical research. Doing mathematics is really a remarkably social process. The abundance of meetings, conferences, workshops, colloquia,
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 Hand Made Manipulative Instructions  Margo Lynn Mankus
Pattern block cutouts: triangles, squares, smaller and larger rhombuses, trapezoids, and hexagons. Baseten blocks in sets of ones, tens, and hundreds; and basefive blocks in sets of ones, fives, and twentyfives. XYblock sets of X, X2, XY, Y, and Y2
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 Hankies, Snarks, and Triangles  Ivars Peterson (MathLand)
Both Alice's Adventures in Wonderland and Through the LookingGlass and What Alice Found There contain many examples of Dodgson's passion for mathematical games, puzzles, logic paradoxes, riddles, and all sorts of word play. Indeed, his fascination with
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 Hebrew Letters / Consonants  Amerisoft Inc.
A Hebrew letter and number chart from the At Home With Hebrew computer tutorial.
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 Heureka: páginas lúdicomatemáticas  Rodolfo Valeiras Reina
Home page of a Spanish math enthusiast from Cádiz, España. Calidociclos (a kaleidocycle is a ring of tetrahedra joined edge to edge; as you twist it inward or outward, the tessellations on the faces of the tetrahedra meet in new ways); Problemas
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 A history of Zero  MacTutor Math History Archives
Linked essay on the development of the concept of zero. There are two important but different uses of zero: one as a empty place indicator in our placevalue number system, and one as a number itself in the form we use it as 0. There are also different
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 Home Page for Laura Taalman  Taalman
Course materials, mentored projects, publications, and more from Taalman, a professor of mathematics at James Madison University. Taalman's interests range from singular algebraic geometry and knot theory to games, puzzles, and 3D printing. The Puzzles
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 Home Run Numbers  Ivars Peterson (MathTrek)
The integers 61 and 62 have been very much in the news this summer. On the majorleague baseball front, Mark McGwire hit his 62nd home run on Sept. 8, and Sammy Sosa matched that total on Sept. 13, surpassing the record of 61 home runs in a season held
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 iKodeko  iKodeko Software, Inc.
Free online math quizzes cover least common multiple (LCM), Roman numerals conversion, number to words, and algebra word problems. Review performance, and participate in discussions around individual test items. Download the iKodeko Worksheet Maker freeware
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 IMSA Math Journal  Michele Micetich; Illinois Mathematics and Science Academy
A journal published annually since 1993; each issue contains articles, problems, and activities spanning a wide variety of topics of interest to high school mathematics teachers and students. Articles are available in both online and downloadable versions.
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 Inspirational Mathematics for Interactive Whiteboards  PowerpointMaths.com
A large collection of Powerpoint resources for the mathematics classroom, for use with electronic whiteboards, in the categories: algebra, data handling, enrichment, measures, mental maths 5000, number, and shape and space.
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 Integers, Rational/Irrational Numbers  Math Forum, Ask Dr. Math FAQ
What is an integer? Are fractions rational numbers? What about .9999...? How about decimals? pi? the Golden Ratio?
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 Integer: TicTacToe Four In A Row! (SMILE)  Conchita A. Little, Terrell School
A lesson that employs a phenomenological approach to the introduction of integers using a coordinate plane and ordered pairs. From the Recreational and Creative Math section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 The IntegerZone  Philip Dorrell
A Java applet which presents the integers as a scrollable rectangular grid of cells, each cell displaying one number. Different modes illustrate different mathematical topics by defining the user's interaction with the grid in terms of response to mouse
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 Intelligent Tutor Math Educational Software, Inc.
The programs in the Intelligent Tutor software series contain tutorials designed to help students learn and master Grades 712 math subjects. The programs are designed with school versions for use in schools, and home versions for individuals in selfstudy
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 The Interactive Mathematics Classroom  Rex Boggs
A digital library of thirdparty technology resources for teaching mathematics, from kindergarten to calculus. Register to comment on interactive whiteboard files, Powerpoints, TINspire documents, Excel spreadsheets, and other digital resources. RSS
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 Introducing Mathematics
This website looks at some areas of mathematics that are not familiar to most people, such as Ramsey theory and set theory, but introduces them in an uncomplicated manner.
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 Investigating Patterns: Number Patterns Fun with Curves & Topology  Jill Britton
Annotated list of links within various number pattern, curve, and topology topics. Linked items feature activities for students. Topics include: prime numbers/magic squares, clock or modular arithmetic, the golden ratio, Fibonacci numbers, binary numbers/Pascal's
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 iPracticeMath
Type in your responses to iPracticeMath's online multiplechoice questions, and press the orange "submit" button to check your answers: addition, subtraction, multiplication, division, algebra, "word to number" (interpreting writtenout quantities), and
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 I Used To Believe  Mat Connolley
A collection of childhood beliefs, such as thinking that cats are female dogs, that seeds swallowed will sprout fruit from your ears, and a primal fear of toilets. "Some of the beliefs come from overactive imaginations, but a lot are the result of parental
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 janko.at  Angela and Otto Janko
Puzzles, games, and Java applets on logic, number, and chess. See also the Jankos' Retrograde Analysis Corner and analyses of legal moves in chess.
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 J. Frederic Teubner, The Toymakers of JTEU  J. Frederic Teubner
See, in particular, the Reut·Reut 12x12 Transmagic Square. Also board, card, and dice games, magnets, tshirts, books and tapes, coloring books, an art gallery, and a millennium 2000 computer art calendar.
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 John and Betty's Journey into Complex Numbers  Matt Bower
A children's bookontheWeb from Australia, designed to introduce complex numbers in story form in a way that is intuitive and enjoyable for students. John, Betty, and their dog Trevor solve a series of problems designed to introduce integers, fractions,
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 K12 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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 KidsPsych  Magination Press
Flash games to help young children develop cognitive thinking and deductive reasoning: Oochina on the Farm, Rotating Faces, Oochina in Space, I Spy, Oochina the Archeologist, Oochina's Doughnut Dilemma, Oochina the Treasure Hunter, Oochy's Cube Adventure,
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 The Knight's Tour  Dan Thomasson
The Knight's Tour web site shows various ways to solve open and closed knight tours. The site also offers several animated tours, artwork, and new concepts (magic squares, tessellations, and conjectures about prime numbers) derived from knight moves on
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 Know Your Roman Numerals  George W. Metz
"What a Roman Legionary needs to know in order to count in Ancient Rome": a chart of numbers, with their names in Latin and the corresponding Roman numerals.
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 KRN Software
Free online games for Javaenabled browsers. Java Edutainment games require matching shapes and colors in Space Cargo and Cargo Bay, simple addition in Numeric Defenders, and odd and even number identification in Even Steven, Jr.
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 KryssTal: Mathematics  Kryss Katsiavriades and Talaat Qureshi
Essays with worked examples: numbers, algebra, Pascal's Triangle, trigonometry, logarithms, graphs, calculus (differentiation), and more.
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 LatticeWork Software, Inc.
Shareware for Windows, both educational and entertainment. Includes three math programs, plus various familyoriented strategy/logic games. Available for personal or school use.
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 Lavarand  LavaLite
Lavarand is a system by which a pseudorandom number generator is seeded by the digital output of a photograph of six Lava Lite® lamps.
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 The Learning Box: K5 Math Software
Developer of elementary mathematics software for students in grades K5. Featured titles include The Manipulative Math Series: Logic Blocks, Base Ten Blocks, and the Peg Board (learning about sets). Shockwave Flash activities include Flowering Fractions
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 Learning Games and Activities for K12  Creative Teaching Associates
Over 200 nonelectronic learning games and activities for ages 4 through adult. Math products include flash cards, activity cards, board games, math chips, cards, books, cassettes for basic math facts drill, and many more. Products are also listed by
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 Learning Planet  Michael Schipper
A site that offers online interactive learning games, in Shockwave, stressing basic math (and other) skills for preschool to sixth grade. Games include Number Train, 123 Order, Count Your Chickens (all number learning games); Spacey Math (four basic operations);
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 Learning to Learn: Problem Solving  Greg Gay, Learning Disabilities Resource Community (LDRC), University of Toronto
Find out about your learning style by solving challenging arithmetic, logic, and mathematical story problems. Puzzles include analogy exercises which reveal our abilities to infer, map meaning, classify, and alter knowledge in the face of novel learning;
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 Lee's Roman Numeral Converter  Lee K. Seitz
Convert a number into Roman numerals and back again online. Site also includes a brief introduction to Roman numerals, a FAQ, and some comments on the structure of the converter program.
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 Le site des maths à petites doses  SaintMartin Arnaud
Supplementary information and explanations of various mathematical topics, often illustrated with figures and JavaScript, as well as some sample problems and multiplechoice quizzes. In French.
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