 Explorations of a Problem with Two Squares  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Given a square of side s and segments drawn from each vertex to the midpoint of the second side, counting counterclockwise, the segments intersect to form a new square. What is the ratio of the area of the shaded square to the area of the original square?
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 The Exploratorium
Home page of San Francisco's museum of science, art and human perception. Online exhibits, cool sites, archives, sport and science, and the digital library (the Exploratorium AtoZ).
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 Exploratorium's Complexity  The Exploratorium
A collection of information related to the Turbulent Landscapes exhibit at the Exploratorium museum in San Francisco. Includes a timeline of important developments in the study of chaos, complexity, and dynamics, and CompLexicon, a guide to key concepts,
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 Exploratorium's Science of Baseball  The Exploratorium
Interactive (Shockwave) exhibits from San Francisco's science museum include Fastball Reaction Time (can you hit a 90mph fastball?) and Scientific Slugger (see what makes a home run: vary the angle of the ball, bat speed, and pitch speed, then watch
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 Exploratorium's Science of Cycling  The Exploratorium
Organized into seven sections. Introduction: What is the Science of Cycling? The wheel: Why do road bikes have thin tires, while mountain bikes have fat tires? Drives and gears: What is a gear ratio? And how do gears help make the bicycle so efficient?
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 Exploratorium's Science of Hockey  The Exploratorium
This site takes you inside the game: you'll hear from National Hockey League players and coaches, as well as leading physicists and chemists. Divided into seven main sections: the ice (why is ice slippery?), skating (what are the mechanics involved in
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 Exploratorium's Skateboard Science  The Exploratorium
Watch a webcast (RealPlayer) of professional skateboarders performing as an Exploratorium staff physicist explains the physics behind this extreme sport; also, an interview with a skateboard designer, and a Flatland Freestyle demo. "Trickscience" looks
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 ExploreLearning.com  ExploreLearning
A library of virtual manipulatives called "Gizmos", primarily for grades 312, in math and science. Math topics include the major strands of instruction according to national standards, as well as developmental math, college algebra and collegelevel
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 ExploreMath.com  Third Millennium Press
Shockwave activities illustrating realtime correlations between equations and graphs to help students visualize and experiment with concepts from elementary algebra through precalculus: experiment with the graphs of functions, systems, and complex numbers.
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 Explore Patterns in Pascal's Triangle  Jeremy Baer
In 1653, a French mathematician named Blaise Pascal described a triangular arrangement of numbers corresponding to the probabilities involved in flipping coins, or the number of ways to choose n objects from a group of m indistinguishable objects. It
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 Exploring Algebra With Creative Designs  Iftikhar Husain
A workbook intended to teach algebraic concepts through creating designs on a graphing calculator using equations of mathematical functions. Examples of designs and instructions are available on the site, as well as ordering information, and a description
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 Exploring Chaos and Fractals  RMIT Publishing
An electronic textbook on CDROM which covers the subject of chaos theory and fractal geometry and includes text, worksheets, sound, video, and animation. Course material is presented with multiple entry points and themes, and can be used within a single
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 Exploring Data  Math Forum/USI
Pages for finding and displaying data sets, designed to support workshops on statistics given by the Math Forum for the Urban Systemic Initiative in Philadephia and San Diego. Included are: links by level to relevant statistics Standards (NCTM, California,
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 Exploring Emergence  Resnick, Silverman; Epistemology and Learning Group, Massachusetts Institute of Technology (MIT)
An active essay that uses Java applets to explore the idea of emergence, examining how objects and patterns can arise from simple interactions in ways that are surprising and counterintuitive. Examples with simple squares that turn on and off and give
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 Exploring Fractals  Mary Ann Connors, Dept. of Mathematics & Statistics, Univ. of Massachusetts at Amherst
Exploring Fractal Dimensions of Strictly SelfSimilar Fractals: Cantor Dust to the Fractal Skewed Web: what are fractals? selfsimilar shapes; what is dimension; a mathematical interpretation; noninteger and integer fractal dimensions; generating fractals;
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 Exploring Gravity  Becky Magan
A weeklong lesson plan for high school students and above, involving an experiment with dropped balls of different weights. Includes video, worksheets, grading rubric, experiment instructions, regression analysis, etc. Sample test data is supplied for
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 Exploring Parabolas (JavaSketchpad) (MSTE)  James P. Dildine; University of Illinois at UrbanaChampaign (UIUC)
Directions and descriptions for creating and simulating the creation of a parabola. The creation takes place within a Java Window in the browser and allows the user to interact with the sketch of a parabola he or she creates. The page includes tips and
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 Exploring Precalculus  William Mueller
A lively and intuitive introduction to precalculus. Materials center on three themes: functions, rates of change, and accumulation. Showing the subject from many angles, illustrations include algebraic, graphbased, and realworld examples, and feature
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 Exploring Your Future in Math and Science  Andrew FrankLoron, Jennifer Handrich, ChiaChen Wu
Encouraging Women in the Sciences: the Women and Science page of the WWW. As part of the final project for a Women's Studies course at the University of WisconsinMadison, students explored reasons why women are less likely to enter professions in math
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 The Exponential Curve  Dan Greene
A blog by a math teacher at Downtown College Prep charter high school (San Jose, California), where the students "... are primarily Latino, are far below grade level in their math and reading skills, and will be the first in their families to go to college.
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 Exponential Fit: Running to Conclusions (MSTE)  Ed Malczewski; University of Illinois at UrbanaChampaign (UIUC)
A lesson that explores the process of finding the best fitting exponential curve to sets of data like the world record times for running the mile. Requires Internet access, a bag of Skittles, and Microsoft Excel. Analyze exponential fit for population
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 Exponential Functions  Jim Rahn
Links to selected sites, projects, and graphing calculator explorations designed to foster understanding of the family of functions known as exponential functions, useful in such applications as population growth, compound interest, radioactive decay,
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 Exponential Sketch  Finzer, Berkelman, Bennett; Key Curriculum Press
A sketch that draws the exponential function and lets you change the base dynamically.
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 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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 Expression Calculator  D. Block, Vestris, Inc.
A calculator for Windows 95/98/NT that does 2D plots and financial functions, constants, operators, logical functions, dozens of common functions, primes and hyperbolic functions, students and Gauss integrals, Fresnel, elliptic integrals, trigonometric
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 Expressionism  Aleksey Onopriyenko, MathDonalds.com
A WYSIWYG browserbased editor (MathML + JavaScript) of mathematical expressions which is also capable of rendering images (e.g. in PNG format).
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 Extended Concurrencies of a Triangle  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
An exploration: take any triangle ABC. Construct equilateral triangles externally on each side and locate the center of each equilateral triangle. Label these centers A', B', and C' for the triangle centers opposite angles A, B, and C. Construct lines
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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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 EZ Learning Solutions
EZ Learning Solutions Study Guides are part of a family of study aids designed with a "backtobasics" approach in mind. They are intended for use by students, parents, or teachers, and should be especially useful for the new math curriculum in Ontario.
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 Faces of Mathematics  Marc Atkins, Nick Gilbert; HeriotWatt University, Edinburgh
Portraits of twenty living influential mathematicians, each with a textbased display panel on the subject's research interests and personal viewpoint on mathematics and a video of the subject in conversation about their research and other mathematical
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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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 Factasia: Mathematics  Roger Bishop Jones
Math essays organized into three categories: general (threads in the web of mathematics and reuse and abstraction); real numbers (a logical development, some history, and computing with reals); and history (a short history of rigour in mathematics, classical
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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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 Factoids  Susan Stepney
An "uneven collection of facts, quotations, and other miscellaneous scraps, that don't naturally fit anywhere else," listed alphabetically from abstract data type to zeldagon and zeugma, including figures of speech, inheritance (in classes), laws, prime
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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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 Factorization using the Elliptic Curve Method  Dario Alejandro Alpern
A Java applet that factors numbers up to 1000 digits long, outputting their number of divisors, sum of divisors, Euler's totient, Moebius number, and sum of squares. Also accepts numerical expressions.
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 Factors of 1000 numbers starting from googolplex  Dario Alejandro Alpern
Known prime factors of numbers in the range 10^(10^100) to 10^(10^100)+999.
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 Fagnano's Problem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An interactive discussion of H. A. Schwarz's and L. Fejér's solutions to Fagnano's problem: inscribe in a given acuteangle triangle the triangle of a minimum perimeter.
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 Fail Early and Often  Andy Pethan
Blog by a Rochester (Minnesota) teacher. Posts, which date back to December, 2013, have included "Mindset on failure," "Moneyballing employee hiring," "Cutting down feedback cycles," "Seeking in the MTBoS," and "TMC folks like to play." Pethan also offers
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 A Fair Deal For Housemates  Ivars Peterson (MathTrek)
Four friends move into a house and find they must choose among four rooms of different size and quality. Instead of sharing the rent equally, they decide to divide the total so that each person ends up satisfied with his or her combination of room and
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 The Fair Division Calculator  Francis Su
An interactive Java applet designed to help you determine how to divide among n people: a desirable object (such as a cake); an undesirable object (such as a set of chores); or a set of indivisible objects (rooms, desirable) with payments (rent, undesirable).
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 Fair Play and Dreidel  Ivars Peterson (MathLand)
For centuries, Jews have played the game of dreidel as part of the festivities associated with Hanukkah. Surprisingly, it turns out that this ancient game is also an unfair game. In 1976, Robert Feinerman of Herbert H. Lehman College (CUNY) in Bronx,
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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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