 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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 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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 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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