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  1. Tilings (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
    An extensive annotated list of links to material on tilings. One way to define a tiling is a partition of an infinite space (usually Euclidean) into pieces having a finite number of distinct shapes. Tilings can be divided into two types, periodic and aperiodic, depending on whether they have any translational symmetries. If these symmetries exist, they form a lattice. There has been much recent research on aperiodic tilings (which lack such symmetries) and their possible realization in certain crystal structures. Tilings also have connections to much of pure mathematics including operator K-theory, dynamical systems, and non-commutative geometry. more>>

  2. Wallpaper Groups: The Discontinuous Groups of Rotation and Translation in the Plane - Xah Lee
    An undergraduate tutorial on wallpaper groups, with illustrations of the 17 wallpapers groups and a wallpaper gallery. Technically, the derivation of all discontinuous groups of rotation and translation in the plane. Contents include: Some Theorems on Rotation and Translation; The Discontinuous Groups of Rotation and Translation in the Plane; Derivation and Classification of Groups; Appendix: The 17 Wallpaper Groups (with a Wallpaper gallery); and References and Related Web Sites. Hosted by the Math Forum. more>>

 
  All Sites - 90 items found, showing 1 to 50

  1. 10 Lessons in Fractals, Complex Patterns, and Chaos - Jon Lee; Math Forum Teacher Exchange
    From the Wright-Connection 8-week summer program, in which Dayton, Ohio, middle and high school math and science teachers participated in the real-world applications of math and science at Wright-Patterson Air Force Base. The lessons, which emphasize ...more>>

  2. AlgebraLAB: Making Math and Science Connections - Mainland High School (Daytona Beach, FL), Georgia Southern University
    Created by mathematics and science teachers, AlgebraLAB is designed to focus on topics and skills from high school mathematics that students must be able to draw upon in their introductory college science courses. AlgebraLAB focuses on lessons and practice ...more>>

  3. Art of the Grid - Ivars Peterson (MathTrek)
    The idea of transferring information from one grid to another has a long history inboth mathematics and art. When the blank grid differs from the original grid, a drawing can suffer intriguing distortions. In art, the result is sometimes called an anamorphic ...more>>

  4. Books: Professional & Technical: Professional Science: Mathematics - Amazon.com
    Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations; ...more>>

  5. Casio Contest Page - University of Central Florida/University of Mississippi
    A weekly problem contest with elementary, middle, and high school levels, as well as a more general problem of the week. Answer correctly and your name is listed and placed in a drawing for a scientific calculator. Previous problems are archived, but ...more>>

  6. Center for Technology and Teacher Education - Curry School of Education, University of Virginia
    An interdisciplinary group that develops materials to prepare teachers to use technology to enhance and extend students' learning of mathematics. This site offers activities using graphing calculators, The Geometer's Sketchpad, Microsoft Excel, the ExploreMath.com ...more>>

  7. Cinderella: Interactive Geometry Software - Richter-Gebert, Kortenkamp
    A full-featured interactive geometry program in German that uses Java as the programming language and includes a true symbolic theorem prover. A demo version that will run for 15 minutes at a time may be downloaded from the Web; the site also includes ...more>>

  8. Corner for Interactive Geometry Software (CIGS) - The Math Forum
    The main Math Forum page for resources devoted to the support of teaching with geometry software, especially dynamic, interactive software such as Cabri Geometry and the Geometer's Sketchpad. Instructional activities and lessons to read on the Web or ...more>>

  9. Culturally Situated Design Tools: Teaching Math through Culture - Ron Eglash
    Java for creating your own Mangbetu design, cornrow curves, graffiti, bead looms, SimShoBan, Yupik star navigator, Yupik parka patterns, Pre-Columbian pyramids, and rhythm wheels -- and learning the mathematics behind them. Organized into African, African ...more>>

  10. Dancing with Mathematics: Mathematics Related to Contra Dancing - Larry Copes
    The mathematics of contra dancing. The essay has three sections -- What's contra dancing? What mathematics is in contra dancing? and More abstractly -- and links to figures illustrating contra dance symmetries and geometric transformations. ...more>>

  11. Dave's Geometric Pix Gallery - David Joyce; Dept. of Mathematics & Computer Science, Clark University
    Mandelbrot and Julia sets, with a generation form and an Explorer on which you can point and click to get more refined images; Newton Basins and a form to generate them; a page describing tiling the hyperbolic plane; some wallpaper groups; a gallery ...more>>

  12. Dennis Stanton
    Dennis Stanton is a professor at the University of Minnesota studying combinatorics and hypergeometric functions. Many of his papers are available online in PostScript and PDF formats. There are also exams and solutions from previous classes, and a complete ...more>>

  13. Donald Coxeter, Mathematician and Geometer - Great Canadian Scientists (GCS)
    Harold Scott MacDonald Coxeter, Professor Emeritus, Math Dept., Univ. of Toronto, is best known for his work in hyperdimensional geometries and regular polytopes - geometric shapes that extend into the 4th dimension and beyond. In 1926 he discovered a ...more>>

  14. Dr. Math Books - the Math Forum @ Drexel
    Featuring Internet references, glossaries, indexes, illustrations, and questions written by actual kids, each can be purchased from Amazon.com via links on this page. The page details the contents of each book: Dr. Math Gets You Ready for Algebra, Dr. ...more>>

  15. Echecs & Math: Jeux, Exercices et Méthodes - Bernard Faujour
    Java et JavaScript pour apprendre la géométrie des tangrams et des polyominoes. Les problèmes incluent questions de logique, et textes et tableaux. Les ressources incluent jeux pour télécharger, et une fabrique d'exercices ...more>>

  16. The Eternity Puzzle - The Ertl Company
    Buy Eternity puzzles, play the online 6-piece Eternity puzzle, and find distributors of this Japanese-inspired, tangram-like manipulative. ...more>>

  17. 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. ...more>>

  18. Everyday Learning - Everyday Learning Corporation
    Mathematics curricula for elementary, middle, and high school that emphasize problem-solving skills. Includes newsletters for elementary and secondary teachers with articles about specific curricula and general classroom approaches. Curricula include: ...more>>

  19. Foundations of Mathematics - Roger B. Blumberg; Columbia University
    A four-week course taught by Roger B. Blumberg at Columbia University, as part of the Summer Program for High School Students, part of the College Preparation course. The purpose of this Web site is to help students with their work, to encourage them ...more>>

  20. Four Construction Problems - Cut the Knot!, Alexander Bogomolny
    Construct a triangle, given the three points in the plane that are the outer vertices of equilateral triangles constructed outward on the sides of the desired triangle. Construct a triangle, given the three points in the plane that are the centers of ...more>>

  21. Frank Potter's Science Gems: Mathematics - Frank Potter
    WWW resources for mathematics classrooms, organized into the following categories: Grades K-3 Mathematics; Grades 4-6 Mathematics; Pre-Algebra; Algebra I; Euclidean Geometry; Algebra II; Trigonometry; Pre-Calculus; Calculus; Probability and Statistics; ...more>>

  22. Frieze Patterns - David A. Reid
    A frieze is a pattern which repeats in one direction. Friezes are often seen as ornaments in architecture. A mathematical analysis reveals that there are seven different frieze patterns possible. These resources were designed for a standards-based project ...more>>

  23. funmaths - Fundamental Software
    Download math-related games for Windows (the Rocky's Bouncer algebra game is free; others are shareware.) Teachers can trade worksheets online: everyone may see the measurement worksheets, but the other categories require that you submit your own worksheet ...more>>

  24. Gary Haynes - Gary Haynes
    The author's electronic portfolio for Atlanta Public Schools, with course syllabi, lesson plans, homework, and objectives. Visit "Tangrams and Other Games" for an interactive tangram story and a Flash presentation on how to develop an understanding of ...more>>

  25. The Geometer's Sketchpad - Key Curriculum Press
    Geometry software for Euclidean, coordinate, transformational, analytic, and fractal geometry, recommended for students from grade 5 through college. Developed for geometry, students now also use Sketchpad's flexibility and reach to explore algebra, trigonometry, ...more>>

  26. Geometric Arts - Quincy Kim
    A site dedicated to geometry and visual perception: patterns, fractals, structures, rotations, spirographs, optical arts, knots, and more. Each construction includes the author's reflections, and instructions, as well as recommended books and related ...more>>

  27. Geometry Bus Tour - ThinkQuest 1996
    Discover geometry in architecture: examples of translational symmetry, concentric circles, rotational symmetry, reflective symmetry, semi-circles, rectangles, triangles, angles, parallel lines. Pages display buildings in Northern Kentucky: Saint Agnes ...more>>

  28. geometry-forum - Math Forum
    A discussion group accessible as a Web-based discussion, a mailing list, or a Usenet newsgroup. This was the main group for the Geometry Forum, the Math Forum's previous incarnation. Not currently used. Read and search archived messages. ...more>>

  29. Geometry in Motion - George Beck; MathSource
    Mathematica notebooks. MapPoint is a geometry program that combines the traditional geometric constructions of classical Euclidean geometry with the more dynamic geometric transformations of modern geometry. Many examples are given showing how to create, ...more>>

  30. geometry-institutes - Math Forum
    A discussion group accessible as a Web-based discussion, a mailing list, or a Usenet newsgroup. Postings include planning for and information about geometry institutes held around the country. The Forum's teacher workshops hold discussions on this group ...more>>

  31. geometry-pre-college - Math Forum
    A discussion group accessible as a Web-based discussion, a mailing list, or a Usenet newsgroup, for discussions concerning school geometry curricula, teaching geometry, new software and texts, problems for students, and supplementary materials such as ...more>>

  32. Geometry Problem of the Week - Annie Fetter, the Math Forum
    The Geometry Problem of the Week (PoW) is a regular feature of the Math Forum, providing students an opportunity to answer questions and receive feedback and recognition from Forum staff. A Teacher Support page is available for some problems. ...more>>

  33. Geometry Project of the Month - Annie Fetter, the Math Forum
    The Geometry Project of the Month is a regular feature of the Math Forum, giving middle and high school students an opportunity to answer questions and receive feedback and recognition from the Forum staff. Archived problems are available from 1994 on, ...more>>

  34. geometry-puzzles - Math Forum
    A discussion group accessible as a Web-based discussion, a mailing list, or a Usenet newsgroup, for interesting problems and conundrums that require only a knowledge of elementary geometry, and discussions of solutions. Read and search archived messages; ...more>>

  35. GEUP - Ram�n Alvarez
    Interactive geometry software. Capable of handling transformations, analytic geometry, polar and cartesian coordinates, and other topics. Applicable to mechanics, optics, drawing and graphic design. Uses macros to speed construction process. Requires ...more>>

  36. The Image Warper (METIP) - Steve Tanimoto; Mathematics Experiences Through Image Processing
    A PC program for MS-Windows that supports exploratory learning and enjoyable activities involving geometric transformations and image distortion. Simple transformations such as rotation, translation or scaling can be specified with single line segmentss. ...more>>

  37. Improving Measurement and Geometry in Elementary Schools (IMAGES) - Research for Better Schools (RBS)
    Information and resources designed to help teachers develop a deeper understanding of geometry and measurement concepts and to assist in designing meaningful instruction for elementary students. Topics addressed include: cognitive and developmental issues; ...more>>

  38. IMSA Math Journal - Michele Micetich; Illinois Mathematics and Science Academy
    A journal published annually since 1993; each issue contains articles, problems, and activities spanning a wide variety of topics of interest to high school mathematics teachers and students. Articles are available in both on-line and downloadable versions. ...more>>

  39. John Olive's Home Page - John Olive, Department of Mathematics Education, The University of Georgia
    Course descriptions and requirements for Computers in Mathematics Education and Investigations into the Teaching of Mathematics Grades 7-12. Recent articles, available online, include Computer Tools for Interactive Mathematical Activity in the Elementary ...more>>

  40. K-12 Geometry - Math Forum
    Links to some of the best Internet resources for geometry: classroom materials, software, interactive materials, Internet projects, and public forums for discussion. ...more>>

  41. Ka's Geometriepage & Mathe-Galerie: Grundschulmathematik - Monika Schwarze
    Eine Seite zur Grundschulmathematik mit Software-Tipps. Links zu Mathematikunterrichtseinheiten f�r Grundschulkinder der Klassen 1 bis Klasse 4; Freiarbeitsmaterialien und kleinen Unterrichtsprojekten. A German Web site for teachers and lovers of geometry, ...more>>

  42. Key Curriculum Press
    Publisher of innovative texts and software applications for teaching mathematics including the Geometer's Sketchpad (dynamic geometry), Fathom (dynamic statistics), TinkerPlots (dynamic data exploration and analysis), Michael Serra's textbook Discovering ...more>>

  43. KSEG - Ilya Baran
    KSEG is a Linux program for dynamically exploring Euclidean geometry. Create a construction, such as a triangle with a circumcenter; drag its vertices, and its circumcenter moves accordingly in real time. Features include a fast core to support large ...more>>

  44. Macdonald Polynomials - Mike Zabrocki
    Symmetric Functions (Definitions of symbols, Maple packages, TEX tables of q,t-Kostka polynomials, Table of specializations, Definition of the operator nabla); Representation Theory (n! Conjecture, Harmonic Polynomials for the Symmetric Group and Macdonald ...more>>

  45. Manipula Math with Java - International Education Software (IES)
    Hundreds of interactive Java applets for middle school through early college years on subjects such as geometry, calculus, trigonometry, linear transformations, vectors, complex numbers, and conics. Applets and animations often include introductions to ...more>>

  46. Margaret Sinclair's Homepage - Margaret Sinclair
    Three sets of JavaSketchpad transformations designed for seventh graders participating in Sinclair's ongoing research into the use and design of pre-constructed web-based dynamic geometry sketches. Reflections include Reflection Concepts, Where's the ...more>>

  47. Math Alive - Ingrid Daubechies, Princeton University
    Materials from a course designed for those who have not had college mathematics but would like to understand some of the mathematical concepts behind important modern applications. Interactive "virtual labs" address cryptography; error correction and ...more>>

  48. Math.com
    Links to Internet math resources for students, teachers, and others, and to products from the Math.com store. Solutions include assessment, on-demand modular courses that target key math concepts, 24/7 live online tutoring, and expert answers to math ...more>>

  49. Math Cove - C. Mawata; Dept. of Mathematics, Univ. of Tennessee at Chattanooga.
    Math Cove projects include: Java applets for exploring transformations (translations, reflections, and rotations) and learning about acute and obtuse angles and other concepts in triangle geometry; more than 20 lessons for studying graph theory (using ...more>>

  50. Mathematical Golf Sketches - Math Forum
    This activity for studying reflections finds the direction to hit a golf ball to get it to bounce off several walls and into the cup (includes a construction of the solution). See also the introduction to this activity (from the Math Forum's 1996 Summer ...more>>

 
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