 ERIC Digests  Educational Resources Information Center (ERIC)
Digests are short reports on topics of prime current interest in education, targeted specifically for teachers, administrators, policymakers, and other practitioners, but generally useful to the broad educational community. Each offers an overview of
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 Erich's Combinatorial Geometry Page  Erich Friedman
Famous and infamous problems with diagrams and some solutions and proofs. Includes: tree planting problems; circles through points; maximizing squares; triangulating squares; triangulating triangles; lines avoiding squares; lines avoiding points; points
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 Erich's Packing Center  Erich Friedman
A huge collection of packing problems, each explained with graphics. 2D examples include Triangles in Squares, Circles in Squares, Squares in Squares, Triangles in Triangles, Circles in Triangles, Squares in Triangles, Triangles in Circles, Circles in
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 Erich's Puzzle Palace  Erich Friedman
Mathematical puzzles, with solutions, in the following categories: mirror puzzles, number puzzles, hex loop puzzles, path puzzles, battleship puzzles, triangulation puzzles, grid puzzles, criscross puzzles, weight puzzles, and logic puzzles. In particular,
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 Eric's Treasure Trove of Life  Eric Weisstein
A description of John Conway's Game of Life, with a searchable database of definitions and animated examples of possible patterns.
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 Eric Weisstein's World of Scientific Biography  Eric Weisstein. Wolfram Research
The World of Biography briefly outlines the discoveries and advances of over 250 mathematicians, and includes links to publications with more historical details about the individuals. Each notecardlike bio puts a face to the entries in MathWorld, Weisstein's
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 Escape Velocity Calculator  Brian Martin
This minimal javascript tool calculates the escape velocity of a body given the body's mass and radius (sample data are provided for the Earth, the Moon, Jupiter, and the Sun).
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 Escher and the Droste effect  B. de Smit and H. W. Lenstra Jr., Mathematisch Instituut, Universiteit Leiden, the Netherlands
Applying mathematics to Escher's Print Gallery. A mathematical analysis of Escher's "The Print Shop," including an image of the original print. See the article (PDF format) Artful Mathematics: The Heritage of M.C. Escher in the Notices of the AMS, bringing
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 Escher Tiles  Hop David
Tessellations that resemble recognizable objects, created by the author in the style of M. C. Escher.
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 Escher Web Sketch  Wes Hardaker, Gervais Chapuis; Univ. of Lausanne, Switzerland
A Java applet that allows you to draw repeating patterns. With documentation on how to use the applet, a pattern archive, the authors' favorite patterns, a link to download Escher Web Sketch, the program's source code, and interesting crystallographic
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 Escuela Virtual
From Mexico, a nonprofit organization offering a collection of links and documents in Spanish for students and teachers in secondary school. You can also write to someone who can answer your questions about homework or anything about school. Look for
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 Eskimo Pi  Keith Devlin (Devlin's Angle)
"As everyone knows, in the last century, the State of Indiana passed a law legislating the value of pi to be 3. Well, perhaps it's a bit of an exaggeration to say that everyone knows it, but most people do. But that alone is very odd, since it is not
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 Esri
Developers of geographic information systems (GIS). Math education books include GIS Tutorial, Fun with Global Positioning Systems (GPS), and the series Our World, which features software, lessons, data, and assessments. ESRI's ArcLessons library freely
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 Essay Ideas  Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia
For a course on Using Computers in Mathematics Instruction. Friday the 13th (show there are at most three and at least one Friday the 13th in each year, consider when two consecutive months can be have Friday the 13th); Gingerbread Man (a Microsoft Excel
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 Essays on Constructivism and Education  Tom O'Haver; Maryland Collaborative for Teacher Preparation
An extensive collection of articles on constructivist teaching strategies, change in education, technology in the classroom, hypertext and cognitive flexibility, constructivist pedagogy readings, and more.
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 Estimation 180  Andrew Stadel
A new estimation challenge every day of the school year, with accompanying video answers. Join the number sense challenge online by submitting your own estimates, explaining your reasoning ("What context clues did you use?") and rating your accuracy ("How
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 Estimation of Pi (MSTE)  Nicholas Exner; University of Illinois at UrbanaChampaign (UIUC)
A Java applet that estimates the value of pi by firing random data points at a circle inscribed within a square. The probability of a data point landing within the circle is a ratio of the circle's area to the area of the square.
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 Ethics in Science  Dept. of Chemistry, Virginia Polytechnic Institute
A bibliography of publications that pertain to ethics and misconduct in science; Internetbased resources related to ethics and misconduct in science, including hyperlinks to online professional codes of conduct; Selected Essays on Ethics in Science (the
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 Ethnography at the Math Forum [PDF file]  Wesley Shumar
A discussion of the author's research on teacher communities, networking, and professional development online through the Math Forum, and techniques used to study them.
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 Ethnomathematics and STEM Institute  University of Hawai'i at Mānoa
Exploring "culturally responsive science, technology, engineering, and mathematics (STEM) pedagogy" across the State of Hawai‘i through the Mathematics Common Core State Standards (CCSS) and Next Generation Science Standards (NGSS). Freely downloadable
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 Ethnomathematics Digital Library  Pacific Resources for Education and Learning
A resource network and interactive learning community for ethnomathematics, with emphasis on the indigenous mathematics of the Pacific region. Search this resource network's links to relevant websites worldwide; or browse it according to geographic area,
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 Ethnomathematics  Nancy Casey
Ethnomathematics is the study of mathematics which takes into consideration the culture in which mathematics arises. Mathematics is often associated with the study of "universals"; however, it is important to recognize that often something we think of
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 e to the i pi  Kevin Bertman
Investigations for teachers to use in mathematics classes. Posts include Phantom Traffic Jams (velocities); Hypotrochoids (Spirographs); Cartograms; Rogue Waves; Fractal Trees; Stereoscopic Images; Six Degrees of Separation; Shoelaces (applying the Pythagorean
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 Euclid
A VRML based project that demonstrates the construction of the five Platonic Solids from Book 13 of Euclid's Elements. The aim of the original Euclid project was to provide a clearer sense of the classical geometry of Euclid's Elements. It is hoped that
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 Euclid and his Elements  Donald Lancon, Jr.; University of Houston
A paper written for a Survey of Math class at Bellaire High School(Bellaire, Texas): a discussion of what is known about Euclid's life and his works other than the Elements, followed by a systematic study of the Elements, examining its content, structure,
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 The Euclidean Algorithm  David Sumner
Find the greatest common divisor (GCD) online using the Euclidean Algorithm. Enter two numbers, and the JavaScript calculates GCD, least common multiple (LCM), and linear combination; and displays the steps of the algorithm.
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 EuclideanSpace  Martin Baker
Introductions to algebra, geometry, calculus, discrete math, and statistics, particularly where relevant to 3D programming. In each subsection, Baker lays out notation and defines key terms to the right, in grey boxes with brown headers.
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 Euclide  Patrick Iglesias; Ecole Normale Supérieure de Lyon
Euclide est un logiciel d'apprentissage de géométrie plane pour
Macintosh destiné au collégiens et lycéens, pour aider à comprendre quelques théorèmes de géométrie plane, à
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 Euclid Lab
This Californiabased nonprofit operates Camp Euclid, a mathematics research camp for high school students, as well as a sister program for junior and senior researchers (MRPU). See also Euclid Lab's "math blog written for all," Unsolved:, which discusses
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 The Euclid Project  Dr. Robert E. Mason IV, The Dalton School
Description of a math program that uses visualization, analysis, informal deduction, and formal deduction to engage students in the study of geometry in an integrated manner. For example, a 7th Grade Geometer's Assignment on circles uses the Geometer's
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 EucliDraw  Kostas Pamfilos, George Nikoloudakis, and Paris Pamfilos
A program to draw plane Euclidean geometry figures. Features include an extensible toolbox, animations, Euclidean and arbitrary transformations, a catalogue of trianglecentertools, SchemeSockets to combine and generate complicated schemes and fractals,
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 Euclid's Algorithm, Heron's Algorithm, Calculation of Pi (MSTE)  Kyte, Moore, Finch; University of Illinois at UrbanaChampaign (UIUC)
Problem (by HansGeorg Weigand): Euclid's Algorithm gives you the greatest common divisor of two natural numbers; explain the algorithm. Given two numbers (e.g. 121 and 33), calculate the gcd(121,33) (in EXCEL you need the "ifcommand"). Heron's Algorithm
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 Euclid's Algorithm  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An explanation of Euclid's algorithm for finding the greatest common divisor (gcd) of any pair of numbers, and a relation to the fundamental theorem of arithmetic, with links to related pages on Euclid's Game, binary Euclid's Algorithm, more on the gcd
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 Euclid's Elements Animated  Mike Markowski
A work in progress: Euclid's "Elements" presented and animated in Java, step by step.
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 Euclid's Elements  David Joyce; Dept. of Mathematics & Computer Science, Clark University
A version of Euclid's Elements created by David Joyce to rekindle an interest in the Elements and to show how java applets can be used to illustrate geometry and to bring the Elements alive. The text of all 13 Books is complete. Joyce writes: "...deductive
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 Euclid's Fourteenth Book  Ivars Peterson (MathLand)
Officials of the Foundation for Old Occidental Languages announced today that, after a year devoted to authentication and analysis, they are prepared to release the text of a manuscript that appears to be a Latin translation of research notes jotted down
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 Euclid's Geometry: History and Practice  Alex Pearson, The Episcopal Academy, Merion, Pennsylvania
A series of interdisciplinary lessons on Euclid's Elements, researched and written by a Classicist and hosted by the Math Forum. The material is organized into class work, short historical articles, assignments, essay questions, and a quiz.
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 Euclid's Muse  Saltire Software
Hundreds of free interactive math apps created by users of Geometry Expressions, a constraintbased and symbolic geometry software package developed in part with grants from the National Science Foundation (NSF).
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 Euclid: The Game  Kasper Peulen
Classic Euclidean constructions using GeoGebra JavaScript.
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 Eugenia Cheng
Research as well as "things for nonspecialists" by a mathematician "keen to bring mathematics to a wider audience and help reduce maths phobia." Articles by the author of HigherDimensional Categories: An Illustrated Guide Book and Cakes, Custard and
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 Euklides  Peter Simon
Dynamic geometry shareware for twodimensional geometry; besides the basic elements, Euklides supports conics and point tracking (locus, cycloid). The multilayer capability ensures easy and efficient construction of drawings. The software produces precise
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 EUKLID  Roland Mechling
Dynamic geometry shareware in German and English. Create geometrical constructions on the screen just as on paper; then take a point in your drawing and drag it to another place, and the geometrical relations between all of the objects will be preserved.
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 The Euler Archive
The Euler Archive is an online resource for Leonhard Euler's original works and modern Euler scholarship. The searchable database provides access to his original publications, references to available translations, and current research. Also available
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 Euler Bricks and Perfect Polyhedra  Ivars Peterson (MathTrek)
"In the October Mathematics Magazine, Blake E. Peterson of Brigham Young University in Provo, Utah, and James H. Jordan of Washington State University in Pullman draw attention to perfect boxes and polyhedra. Their starting point is the problem of finding
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 The Euler Characteristic of an Orbifold (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Suppose we have a symmetric pattern in the plane. We can make a symmetric map by subdividing the quotient orbifold into polygons, and then 'unrolling it' or 'unfolding it' to get a map in the plane...
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 Euler Function and Theorem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A description with proof, lemma, and related links.
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 The Euler Line and the 9point Circle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A geometric explanation of the Euler Line  how complex numbers give us a broader outlook on the geometric configuration  and the 9point circle of a triangle ABC, which passes through the feet of the three altitudes, the midside points of ABC, and the
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 The Euler Line of a Triangle  David Joyce; Dept. of Mathematics & Computer Science, Clark University
A draggable geometry applet illustrating the centroid, circumcircle and circumcenter, and altitudes and orthocenter of a triangle, and the straight line they all lie on, the Euler line.
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 The Euler Number (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
If we have a polyhedron, we can compute its Euler number, x=VE+F. In fact, we computed Euler numbers ad delectam. Why did we do this? One reason is that they are is easy to compute. But that is not obviously a compelling reason for doing anything in
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 EurekAlert! Science Reporting for Kids  American Association for the Advancement of Science (AAAS)
A central, online source for kidfriendly news and resources. This Portal for kids is housed within EurekAlert!, the editorially independent, online news service operated by AAAS, the science society. The Portal is available to reporters and editors who
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