 Exemplars
Exemplars is meant to assist teachers, schools and districts implement authentic assessment and problem solving in their classrooms and to meet the challenging new standards developed in mathematics, science and humanities at the national, state and local
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 Exercices de Géometrie en Troisième  T. Touré
Révisions de vacances: de nombreux exercices de géométrie. Thalès/Droite des milieux; Pythagore; Sinus, cosinus, et tangente; Cercle et triangle rectangle; Droites remarquables; Distance et aire; Volume; Symétrie, rotation
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 Exercices on Mathematics  Luis Breda
Online math drills in English and Portuguese: lines, fractions, points and vectors, powers and radicals, firstdegree equations, seconddegree functions, trigonometry, circles, and derivatives.
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 Exercises in Imagination (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
How do you imagine geometric figures in your head? Most people talk about their threedimensional imagination as 'visualization', but that isn't exactly right. A visual image is a kind of picture, and it is really twodimensional. The image you form in
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 Exercises in Math Readiness for University (EMR)  Dept. of Mathematics and Statistics, University of Saskatchewan
A collection of exercises with solutions/tutorials for high school mathematics topics important for university study in mathematics, sciences, engineering and commerce. Exercises at three degrees of difficulty, covering graphing, solving inequalities,
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 Expanding Universe: a classified search tool for amateur astronomy  Daniels, Enright, Gliddon, & SenRoy
A collection of sites organized using a modified Dewey Decimal Classification, to make searching the web more like browsing a library shelf. Includes an alphabetical terms list for searching and a request for more sites.
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 Expectations of Mathematics Education  EXTEND  Perspectives on Mathematics Education
Links to articles about society's conflicting expectations for the goals (ends) and pedagogy (means) of school mathematics. Concerns about the relation of skills to understanding, about connections with other disciplines, and about preparation for employment.
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 Expected Value: Temperature of a Point on a 2D Plate (MSTE)  Ed Malczewski; University of Illinois at UrbanaChampaign (UIUC)
Find the temperature at a particular point of a rectangular plate using statistical methods. It is assumed that the temperature of the edges as well as the dimensions of the plate are known. The lesson includes a program that will run on Resampling Stats,
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 Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces  David W. Henderson; Cornell University
A book that presents a series of problems. Most of the chapters start intuitively and are accessible to a general reader with no particular mathematics background; however, the discussions were written for mathematics majors and mathematics teachers and
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 Experiment and Explore Mathematics  A. Dendane
Java applets to explore topics in mathematics: graphing linear equations, graphing systems of linear equations, polar equations, rational functions, exploring translations and scaling of graphs, and matrix multiplication.
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 Experimentation, Graphing, and Algebraic Derivation  R. H. Logan
A scientific graphing lesson that details the derivation of the slope intercept formula; the slopeintercept formula in Chemistry; and linear relations in Chemistry and Physics.
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 Experiments with the 3n+1 Sequence  Alfred Wasserman
An online program tests numbers for convergence under the 3n + 1 sequence. Also available in German.
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 Expert Math Tutoring in New York  Expert Tutor NY
Ivy League chemistry graduate and certified test prep course teacher offers private instruction for math at high school and college levels in metropolitan New York area  Regents, SAT, SAT II, algebra, geometry, trigonometry, calculus, precalculus.
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 Explaining Logarithms  Dan Umbarger
"Explaining Logarithms" is a free 109 page PDF which tries to explain the origin and use of logarithms in a different logical progression than exists in the traditional textbooks. Site includes philosophy behind the work, how to order multiple copies
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 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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 Ez Math Trix  J.R. Grandhe, MD
A video explaining: tips on addition, subtraction, multiplicaion, division, and squaring; tricks involving playing cards, dice, dominoes, and the calendar; an easy way to calculate time; and fun with numbers and math games. Available in DVD or VHS (2
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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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