 Expository Papers from the Geometry Center
Documents written at the Geometry Center that take advantage of hypertext to present information about mathematics or the Geometry Center in a style accessible to a wide audience. Engineering Education at the Geometry Center (Keynes, Wicklin); Outside
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 EXTEND: Perspectives on Mathematics Education  Exxon Education Foundation
EXTEND is a national Internet forum on mathematics education intended to involve new constituencies, engage new voices, and examine new perspectives. Major topics are explored through forum reports, position papers, and reader commentary. Issues include
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 Extracts from Thomas Hirst's diary  MacTutor Math History Archives
Quotations from Thomas Hirst's journals concerning the following mathematicians: Bertrand, Boole, Brioschi, Cayley, Chasles, Chebyshev, Cremona, De Morgan, Dirichlet, Gauss, Kovalevskaya, Liouville, Maxwell, Poinsot, and Steiner.
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 The Eyeballing Game  Matthias Wandel
Test your ability to "eye up" geometric figures with this timed Flash challenge. First consult the help documentation to correctly calibrate your monitor resolution and aspect ratio; then click and drag the blue ray or point to accurately construct the
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 Eye on Education  WGBH Boston
An outreach effort by WGBH in Boston, including resource materials, broadcast specials, and an expanded Web site to help parents more actively advocate for their children. Resources for students, teachers, and parents, including lesson plans, Boston high
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 Eye Opener Series  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of Java applets that illustrate and thus help to solve or prove various math problems: Euclid's Proof of the Pythagorean Theorem; Construction problem; Disappearing Lines puzzle; Sam Loyd's fifteen; Sliders puzzle; Lucky 7 puzzle; Happy 8
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 Faceted Objects: Tanks to Teapots  Paul Flavin
A "Tiny Library of Faceted Surfaces." Cube, Venus de Milo Statue, Utah Teapot, M1 Tank, Ludwig Beethoven, magna Girl. For each object the format, number of vertices, number of facets, geometry (shape), bytes, and filename are listed.
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 FactMonster: 2006 Winter Olympics  FactMonster.com; the Learning Network
The Fact Monster site, created as part of Information Please from Pearson Education, offers a variety of interesting links for the Winter Olympics in Torino, Italy, taking place February 10  26. The site includes olympic history, sports previews, a timeline,
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 FactMonster: Math  FactMonster.com; the Learning Network
Almanac of information on numbers, measurement, tables and formulas, and money; with special features and online games and quizzes.
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 The Factor Game (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through
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 Factorials 1!  30!  Math Forum, Ask Dr. Math Common Question
A table of the factorials 1! through 30!
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 Factoring and Primes (High School Math)  Homeworkhelp.com, Inc.
The words "Product" "Factor," "Factoring," and "Prime"; How do I factor a natural number?; How do I know if a number is divisible by 2, 3, 4, 5, 9, 10, or 11?; How do I know whether a number is prime (i.e. can't be factored any further)?; Table of 1000
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 Factor Table, 160  Math Forum, Ask Dr. Math Common Question
A table of the factors for the numbers 1 through 60.
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 Fair Shares (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
The birthday party is over, and one chunk of thickly frosted, richly decorated cake is uneaten. Your mother insists that you and your sister slice the cake into two equal pieces, so that she doesn't have to listen to you fight over which is bigger. What
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 The Fall and Rise of StandardsBased Education  Marzano, Kendall; Midcontinent Regional Educational Laboratory (McREL)
A National Association of State Boards of Education (NASBE) Issues in Brief. A brief historical overview that puts the standards movement in the context of recent education reform efforts and surveys some of the problems that have arisen in the development
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 False Proofs, Classic Fallacies  Math Forum, Ask Dr. Math FAQ
What's wrong with proofs that say 1+1 = 1, or 2 = 1?
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 Famdays
A famday is a day on which the combined ages of family members add up to a whole number of years  in a sense, a family birthday, a reason for a celebration that contributes to strengthening family ties. Students can compute famdays for their families
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 FAME (Fractal Art Museum Enterprise)  Joseph Trotsky, Director
A display of fractals by hundreds of artists. The site hosts permanent expositions, along with thematic and periodic exhibitions, annual contests, papers on fractal theory, software and tutorials for making fractals, and more.
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 Family Economics & Financial Education  Take Charge America Institute, University of Arizona
Free, readytoteach classroom materials, teacher training, newsletters, grants and other activities for teachers to expand knowledge of family economics and to incorporate money management related lessons into their grade 7 through 12 classrooms. Family
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 Family Finance  Utah State University Family Finance
PowerPoint presentations for selfguided study: financial attitudes, values & goals; budgeting; creating your financial information binder; and how to budget your money. Other resources from the Utah State University Cooperative Extension agency include
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 Family or Child First?  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
In a twochild family, one child is a boy. What is the probability that the other child is a girl? Discusses the difference between choosing the child first and choosing the family first, and why they're mathematically different.
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 The Family Photo and Counting on One Hand (Math Chat)  Frank Morgan; Christian Science Monitor
From Norman Goodwin: A photographer wants to line up the 11 members of the Goodwin family from shortest to tallest (left to right), starting with anyone, adding someone else on either side, and continuing by always adding someone next to those already
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 Family Village School  Waisman Center, University of WisconsinMadison
Resources related to education for families with a child who has disabilities, plus additional resources JUST FOR KIDS. Pages with links to sites for: Advocacy and Public Policy; Assistive Technology for Students with Disabilities; "Disability Awareness"
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 Famous Equations and Inequalities  Peter Alfeld, University of Utah
An idiosyncratic and personal selection of particularly important or particularly intriguing mathematical equations, not all of them complicated. Mathematical Constants; The definition of Pi; The definition of e; A differential equation; The Pythagorean
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 Famous Paradoxes  Isaac Reed
Zeno's Paradox and Cantor's Infinities.
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 Famous Problems in the History of Mathematics  Isaac Reed
History of mathematics presented through some famous problems, with exercises and solutions. The problems include The Bridges of Königsburg; The Value of Pi; Puzzling Primes; Famous Paradoxes; The Problem of Points; A Proof of the Pythagorean Theorem;
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 The Famous Wonders of the Mind / Les Merveilles de l'Esprit  Nan Zhu, Yifei Zhu  ThinkQuest '99
Math and science stories teach students some famous tricks and formulae through history, games, and short essays on the golden section, the Fibonacci sequence, Pascal's triangle, logarithms, the Bridges of Konisberg, the binary system, etc. In English
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 FanGraphs
Major and minor league baseball statistics and analysis, including graphs, splits, game logs, play logs, spray charts, plate discipline, PITCHf/x, strike zone heat maps, and more for every ballplayer and team.
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 The FANS Project  The New Jersey Mathematics Coalition
"Families Achieving the New Standards" in Math, Science and Technology Education is a parent outreach project, with the goals of informing parents about the New Jersey standards in mathematics, science, and technology; involving parents in helping their
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 Fantastic Fractals  Sheu, Turvey
A comprehensive fractals site with tutorials for all ages, fractalgenerated music, and realistic landscapes. Download Fantastic Fractals 98 software; interact with others through the fractal workshop message boards, and discussion forum.
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 Fantastic Fractals  ThinkQuest 1997
All about fractals: including: fully interactive fractal tutorials, a gallery, landscapes, music, a reference desk and types of fractals, downloads, a fractal workshop (build your own fractals), a fractal challenge (test yourself  how much have you learned
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 Farmer and Wife to Catch Rooster and Hen: Sam Loyd's Puzzle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An entertaining Java implementation of a puzzle by Sam Loyd. A farmer and his wife try to catch a hen and a rooster. A good exercise in taxicab geometry.
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 Fascinating Flat Facts about Phi  Ron Knott
Phi and twodimensional geometry  constructing the golden section: phi, Phi; Phi and the root5 rectangle; the shape of a piece of paper; Phi and the pentagon triangles; Penrose tilings; a rectangle/triangle dissection problem; the Golden Spiral; trigonometry
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 Fascinating Folds: Origami
A premier supplier for Origami and the Paper Arts with books, papers, and related products. Online ordering of supplies is available. Origami and Paper Products for sale include books, papers, videos, CDs, related products (cards, bookmarks, tshirts),
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 Fast Arithmetic Tips  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Specific tips for three broad categories of rapid math: offensive (for the purpose of getting a result fast), defensive (for the purpose of discounting a result fast), or entertaining (for stunning your friends with math magic!). The entertaining category
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 FasterThanLight Math!
Free animated 3D math videos in algebra, geometry, trigonometry, word problems on related rates, and more. FasterThanLight (FTL) Math tailors courses or tutoring sequences based on student needs and math skill levels. It guarantees improvements on SAT
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 Fast Facts (Math On Line)  D. Kell; Mercer County Community College
Link listings for math concepts, from whole numbers and fractions to advanced equations, logic, and probability.
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 Fast Food Combinations  Math Forum, Ask Dr. Math FAQ
How many possible combinations can be made from a special menu of eight items?
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 Fathom and Tinkerplots  Math Forum
A discussion group to foster communication within the Fathom and Tinkerplots user community. Topics appropriate for discussion include how to use Fathom and Tinkerplots effectively in teaching mathematics, statistics, and data analysis; problems (both
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 A Faulty Dissection  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A deceptive dissection implemented in Java. Two different rearrangements of the same four plane pieces result in rectangles of different area. A very entertaining introduction into the subject of Fibonacci numbers.
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 The Feeling of Power  Isaac Asimov
Science fiction that explores a time when only computers know how to multiply. "...seven times three is twentyone." "And how do you know that?" asked the congressman. "I just remember it. It's always twentyone on the computer. I've checked it any number
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 Fermat's room  Javier Martín
Solve puzzles playing this Java math adventure game, also available in Spanish. Based on a film by the same name.
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 FermiEffect.com  Alice Caton
Links to biographies of Enrico Fermi and his granddaughters, computers and chaos theory, Fermi questions, and the Fermi paradox.
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 Fermi Questions  Sheila Talamo
Fermi questions emphasize estimation, numerical reasoning, communicating in mathematics, and questioning skills. Students often believe that "word problems" have one exact answer and that the answer is derived in a unique manner. Fermi questions encourage
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 A Few Aspects of Cryptology  David Hamer
Read about cipher machines such as Enigma, Geheimschreiber, NEMA, SIGABA and others; visit the gallery showrooms of the Crypto Simulation Group (CSG), a group of historians and researchers in the field of cryptology; download sample simulators and published
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 Fibonacci  James Grant
Pages about Fibonacci the mathematician, the sequence that bears his name and its relationship to the Golden Ratio, as well as how the Fibonacci numbers occur in nature.
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 Fibonacci Numbers and Nature  Ron Knott
Fibonacci and his original problem about rabbits that gave the series its name; the family trees of bees; the golden ratio and the Fibonacci series; the Fibonacci Spiral and sea shell shapes; branching plants; flower petal and seedheads; and the leaf
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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,
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 Fibonacci Numbers and the Pascal Triangle  Radoslav Jovanovic
Brief articles about Pascal's triangle, Fibonacci numbers, Lucas numbers, and the golden section, including the relations between Fibonacci numbers and Pascal's triangle, and Fibonacci numbers and the golden section. In English, German, or Serbian.
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 The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean  Don Cohen (The Mathman)
Mathematics from a Pineapple: Infinite sequences, limit of a sequence, ratios, fractions, and decimals. Also Looking at a Regular Pentagon. Sample problems with some answers from Chapter 7 of Don Cohen's worksheet book.
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