 The eNLVM Project: Promoting Student Achievement in Mathematics through Educator Collaboration [PDF]  Pam Buffington, Burt Granofsky, eNLVM Project
This article explores the use of the eNLVM from the perspectives of Curriculum Developer, Math Content Expert, Special Education Professional, and Classroom Teacher. The article paints a picture of how multiple educators can collaborate to use the eNLVM
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 Ensuring Equity and Excellence in Mathematics (NCREL)  Claudette Rasmussen; Pathways to School Improvement
Critical issues in mathematics. Educators and community members are beginning to recognize that most students, including a disproportionate number of women, minorities, and the poor, leave school without the mathematical skills they need to thrive in
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 EnviroNET  Space Environment Information  Messore and Chrissotimos; Goddard Space Flight Center
An online service for the space environment community in support of NASA's engineering and scientific goals, providing models and information on the space environment via the Internet. The EnviroNET programming group is staffed entirely by students who
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 Epistemology and Learning Group  Massachusetts Institute of Technology (MIT)
Constructionism asserts that knowledge is not simply transmitted from teacher to student, but is actively constructed by the mind of the learner, and that learners are particularly likely to create new ideas when they are actively engaged in making external
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 The Equal Tempered Scale and Some Peculiarities of Piano Tuning  Jim Campbell
An article on tuning applications from the Precision Strobe Tuners site. The Phenomena of Sound and the Harmonic Series, with information about Fourier analysis; Beats; The Physics of Ringing Strings; The Evolution of the Equal Tempered Scale; Piano Tuning;
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 Equity & Access: General  Key Issues in Mathematics at The Math Forum
Issues, networks, general Web resources on equity in mathematics. Also entries of specific interest to minorities, women, people with disabilities, and nonEnglish speaking visitors.
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 Equity Center: Selected Publications (NWREL)  Northwest Regional Educational Laboratory
Publications developed by the NWREL Equity Center (Improving Education for Immigrant Students; Preventing and Countering SchoolBased Harassment: A Resource Guide for K12 Educators; The Fourth R: Responsibility  Ensuring Educational Excellence Through
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 EqWorld: The World of Mathematical Equations  Andrei D. Polyanin, editor
Extensive information on solutions to various classes of algebraic, ordinary differential, partial differential,
integral, and other mathematical equations. It also outlines methods for solving equations, includes interesting articles, gives links to
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 The Erdös Number Project  Jerry Grossman
Paul Erdos wrote hundreds of mathematical research papers in many different areas, many in collaboration with others. His Erdos number is 0. Erdos's coauthors have Erdos number 1. People other than Erdos who have written a joint paper with someone with
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 Eric Digest 104: Block Scheduling  Karen Irmsher
A 1996 article, with a bibliography: What's wrong with the traditional day? What is Block Scheduling? What are its advantages and challenges? What advice do experts have for making the change?
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 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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 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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 An essay on patterns in musical composition, transformation, mathematical groups and the nature of musical substance  Bill Hammel
An article on music composition and history, with a discussion of the organizing principles of various musical scales as they affect musical composition and links to related sites.
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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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 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  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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 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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 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 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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 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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 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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 Euler Function and Theorem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A description with proof, lemma, and related links.
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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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 Europe  Mathematics and the Liberal Arts  Todd Hammond
Notes on published articles: a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and on the connections between mathematics and other disciplines.
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 Eurostat
The statistical office of the European Union, Eurostat collects statistics about European Union member countries, their neighbors, and their trading partners worldwide. Includes an introduction to Eurostat, selected socioeconomic figures including data
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 Evaluating LongTerm Student Effects and Teacher Inservice Needs for Dissemination of the Interactive Mathematics Program (IMP)  Norman Webb
Abstract of a report to the NSF by Norman Webb. The IMP curriculum integrates the four years of mathematics traditionally presented as separate courses in algebra, geometry, trigonometry, and precalculus, and exposes students to concepts derived from
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 The Evil Twin Strategy For a Football Pool  Joseph DeStefano, Peter Doyle, J. Laurie Snell
A paper that appeared in the "American Mathematical Monthly," on the mathematics of a novel idea for winning a betting pool.
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 Evolution of Arabic (Roman) Numerals from India  B. B. Vishnu
A description of the development of our number signs, from India throughout the rest of the world, with highlights of how mathematics was helped and hindered by concepts of numbers. From Mathematics and the Spiritual Dimension.
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 The Evolution of the Real Numbers  Lawrence Spector
An introduction to real numbers, including such topics as: the ratio of natural numbers; continuous versus discrete; fractions; unit fractions; rational numbers; measurement: geometry and arithmetic; common measure; squares and their sides; incommensurable
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 EWorld  Glenn Elert
A homepage including links for his Midwood High School classes, Teachers College (Columbia) materials, especially papers on mathematics (Chaos, Fractals, Dimension; Ptolemy's Table of Chords; Mathematics Packages) and education reform (School Choice;
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 Examining How Mathematics is Used in the Workplace  Annie and John Selden; Mathematical Association of America
Abstracts of studies on how much mathematics is used in various occupations: Mathematics in Automobile Production; Proportional Reasoning by Nurses; Modeling the Mathematics of Banking; Mathematical Models as Seen by Biologists; How do Scientists Interpret
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 Examples of Essays  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Extended Concurrencies of the Triangle, J. Wilson; Parabolas Inscribed in a Triangle, G. Giddings; Polygonal Spirals, L. Shook and M. Callinan; Roots 2 and 5, J. Wilson; Those Amazing Palindromes, Shareef Bacchus; Tangrams, Greg Huberty; Phi: That Golden
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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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 The Expected Number of Rising Sequences After a Shuffle [PDF]  Peter Doyle
A paper taking up Brad Mann's derivation of his simple expression for the expected number of rising sequences in a deck after a shuffle, which involved lengthy gymnastics with binomial coefficients. Doyle provides a short derivation. A PostScript file
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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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 Exploring Hyperspace with the Geometric Product  Thomas S. Briggs
This paper presents an area of higherdimensional geometry to a general audience. It also highlights areas where new discoveries could be made. This exploration encounters double prisms, the double cylinder, prism cylinder, flat torus, spherical hypercylinder,
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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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 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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 Extended Finite Element Methods, Level Set Methods and Meshless Methods in Computational Mechanics  Stéphane Bordas
Describes my research in computational mechanics, geomechanics, fracture mechanics, meshless and extended finite element methods, plasticity, and aerospace castings.
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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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 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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 FamilyEducation Network
Articles, discussion groups, professional advice, suggestions, and other resources for children of preschool and younger, elementary school, middle school, and high school and beyond. Resources topics include activities, health and safety, homework help,
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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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 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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