 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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 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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 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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 The Euro  European Central Bank
On January 1, 2002, euro banknotes and coins were put into circulation. This site has sections for: euro banknotes and coins, getting ready for the euro, information for organizations, a children's zone, background to the euro, and news and events.
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 Evaluation Rubrics for Websites  Loogootee Elementary West, Loogootee, Indiana
Separate rubrics for primary, intermediate, and secondary grades, for children to use in evaluating sites, with a list of links to Webevaluating resources primarily for adults, steps to follow when creating Web pages, tips for announcing pages, and activities
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 Evalwave.com  Ryan Ingram
Search or browse these lists of the first ten billion prime numbers and the factors of the first one hundred million numbers.
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 The Event Inventor  Kye Ewing
Science, math, and technology explorations with no experience necessary. (Explorations can often be done by older children with no help.) Make your own quadrant and cross staff and explore the world around you  measuring heights of buildings or trees
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 Everyday Mathematics: A Parent's Handbook K5  Oswego School District
Classroom routines, standards by grade level, examples, glossary, and other resources. Learn about number families, number stories, games such as factor captor, and algorithms such as addition by partialsums, subtraction by countingup, lefttoright,
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 Everything Is Mathematical  RBA Contenidos Editoriales y Audiovisuales S.A.
Based on the series of books, published weekly in association with The Times and presented by Marcus du Sautoy, which aims to demonstrate clearly how mathematics shapes the world around us. Blog posts, which date back to September, 2012, have included
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 Everything you always wanted to know about Maths (but were afraid to ask)  Liz Richards
A site designed to give students an understanding of the history and purpose of maths and some of the major figures in the world of Mathematics
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 Everywhere, Butterflies
A gallery of fractal pictures created using Sterling, a shareware program by Stephen Ferguson.
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 Evil Mad Science  Evil Mad Science LLC
Producers of doityourself (DIY) and opensource hardware designs in support of art, education, and accessibility. See, in particular, the d20 and d12 Handbags of Holding Kits (zippered bags in the shape of dodecahedra and icosahedra) and the kit for
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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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 ExamHelp  Anamika Sinha
Log in to generate math worksheets to print out or solve online with autoscoring, and to participate in web contests. ExamHelp has also blogged since October, 2010.
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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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 Excel Everywhere.com  Framtidsforum I&M AB
Automatically converts a spreadsheet into a goodlooking and calculating web page. It can be used to present mathematics on the web, and for creating selfcorrecting tests. Teachers can get free licenses for student projects, so that these can be presented
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 ExcelGrade eLearning
Online tutoring in math, science, and English, using a proprietary headset and whiteboard. Details, including testimonials and pricing, on the web.
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 The Excellent Adventure  Shawsheen Valley Technical High School, Billerica, MA
A mathbased crosscurricular site where students take a trip from Philadelphia down the East coast to Disney World, with several required stops and activities along the way. A teacher's guide, worksheets, and activities are provided: students figure
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 Excel Math  Brad Baker, Janice Raymond, et al.
A curriculum that presents math in a spiraling fashion for kindergarten through sixth grade students. Features include selfcorrection through Excel Math's CheckAnswer system, which allows students to check their own work. Download a sample packet or
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 Excel Tutorial  www.exceleasy.com
Free, stepbystep tutorials on functions, data analysis, VBA, and more features of Microsoft's spreadsheet software. All primers include illustrative screenshots and sample download .xls files.
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 Exclusive Educational Products  Exclusive Educational Products
Order math resources and manipulatives for the curriculum of Ontario, Canada, as listed by grade or by the strands of number sense, measurement, patterning and algebra, geometry, data management, and assessment. Virtual workshops include samples from
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 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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 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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 The Exhibitionists  National Museums Liverpool
The site uses simple examples to give a basic outline of life behind the scenes at the museums, and all the math problems that curators solve as they plan and present exhibitions. The prices and measurements in the puzzles are made up to give viewers
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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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 The Expert Mathematician  James Jospeh Baker
A computermediated program of instruction to help middle school students develop the thinking processes necessary for mathematical planning, applications and communication. Expert Mathematician, which uses LOGO, suits cooperative learning and "guide
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 Explained Visually  Powell, Victor; and Lhe, Lewis
Interactive JavaScript to "make hard ideas intuitive." Drag sliders and select values to simulate sine and cosine, exponentiation, Markov chains, conditional probability, and more.
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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 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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 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 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 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 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 the Shape of Space  Jeff Weeks; Key Curriculum Press
Geometry and cosmology for grades 610. Lessons and activities to accompany the computeranimated video The Shape of Space (also available on CDROM and based on Jeff Weeks' book by the same name). Each lesson includes teacher notes, blackline master
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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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 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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 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 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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 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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 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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