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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 - 134 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. Between the Folds - Corporation for Public Broadcasting
    Exploring the science, art, creativity, and ingenuity of origami, Between the Folds chronicles the stories of ten leading paperfolders and their works of art. The game "Match the Folds" presents three finished works of origami alongside the fold pattern ...more>>

  5. BizMo Diaries - Kirby Urner
    "On the road with global data." This open source developer's blog, which dates back to January, 2005, has included posts on math education, such as "Python for GIS Experts," "Memo to Gnu Math Teachers," "Playing with Blocks," "Story Problems," "Mathematics ...more>>

  6. 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>>

  7. bugman123.com - Paul Nylander
    Tessellations, gear spheres, hyperbolic geometry, fractals, hypercomplex fractals, minimal surfaces, and more original mathematical artwork. See also Nylander's simulations of physics phenomena such as the magnetic field of a solenoid, 2D wave-particles, ...more>>

  8. CalmPlex: 3D Geometric Wooden Puzzles - R&A Media Inc. and Andy Snowie
    A manufacturer of wood puzzles based on simple geometric shapes. Learn about the CalmPlex wooden puzzle, a twelve piece, mechanical put-together manipulative that makes an 8x8 checkerboard, a 4x4x4 cube and over 50 other tessellated shapes: details, solution ...more>>

  9. 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>>

  10. 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>>

  11. Cleave Books
    Teacher Resources on Line (TRoL) include downloadable grid paper; T-tiles; dictionary exercises; shapes Bingo; MisMaths, an annotated collection of innumeracy and other math mistakes in news headlines; fact sheets; tables; formulas; a mathematical vocabulary ...more>>

  12. Conteúdos Digitais em Matemática para o Ensino Médio - Kaleff, Ana Maria; and Humberto José Bortolossi - Universidade Federal Fluminense
    Educational Java applets and lesson plans in Portuguese. Topics include real functions, algebra, permutations, polygons, tangrams, conic sections, solids of revolution, and other two- and three-dimensional geometry, which includes the English-language ...more>>

  13. 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>>

  14. 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>>

  15. 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>>

  16. 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>>

  17. 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>>

  18. The Diamond Theorem - Steven H. Cullinane
    Finite projective geometry explains the surprising symmetry properties of some simple graphic designs -- found, for instance, in quilts. Links are provided for applications to sporadic simple groups (via the "Miracle Octad Generator" of R. T. Curtis), ...more>>

  19. Division by Zero - Dave Richeson
    A blog about "math, puzzles, teaching, and academic technology." Posts, which date back to September of 2008 and sometimes introduce original applets, have included "Volumes of n-dimensional balls," "Albrecht Dürer's ruler and compass constructions," ...more>>

  20. 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>>

  21. Dramatic Results
    This non-profit educational arts agency improves students' academic confidence and performance "by stimulating curiosity and fostering creativity through a hands-on, arts-based approach to learning." Dramatic Results specializes in curriculum that integrates ...more>>

  22. 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>>

  23. 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>>

  24. 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>>

  25. Fold Everything - National Geographic Society
    See how paperfolding inspires the design of aircraft, stent grafts, and the packaging and transportation of telescope lenses in this overview of the history and future of origami. With downloadable instructions for folding a peacock, as well as an online ...more>>

  26. Folding and Unfolding - Eric Demaine
    A series of pages detailing research and findings in origami, including: fold and cut, folding silhouettes and wrapping polyhedra, map folding, unfolding polyhedra, folding polygons into polytopes, linkages, protein folding, hinged dissections, hyperbolic ...more>>

  27. FoldPlay
    Upload your photographs, print them out in FoldPlay's templates, then fold them into hex kaleidocycles, oct kaleidocycles, invertible cubes, and foldbooks. Also, instructions for folding nerdcatchers, sphericon pies, polygon puzzles, and other origami. ...more>>

  28. 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>>

  29. Free Math Tutoring - Doug Simms
    Online instructional videos, many accompanied by example and exercise sheets. Use of the site is free. ...more>>

  30. 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>>

  31. 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>>

  32. Gary Haynes - Gary Haynes
    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 functions through the use of the motion sensor. ...more>>

  33. 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>>

  34. The Geometer's Sketchpad Resource Center - Key Curriculum Press
    Search collection of Sketchpad Classroom Activities for download or purchase, browse the Advanced Sketch Gallery, access Technical Support, explore some online JavaSketches created with Sketchpad, and find links to others' sketches and related resources. ...more>>

  35. Geom-e-Tree - John Miller
    Explore fractals with this tree-drawing app for iPod, iPhone, and iPad. Choose the number of branches, angle between branches, and the common ratio of the levels in the tree. See, in particular, the exercises and open questions on Geom-e-Tree for the ...more>>

  36. Geometric Arts - Ghee Beom "Quincy" Kim
    A site dedicated to geometry and visual perception: patterns, fractals, structures, rotations, spirographs, optical arts, knots, and more. Some constructions include the artist's reflections, instructions, and links to related sites and interactive applets. ...more>>

  37. Geometric Functions - Scott Steketee
    Activities to develop function concepts with the "compelling kinesthetic experiences and opportunities for explicit discourse" available through geometric transformations (reflections, rotations, translations). Geometric Functions resources fulfill the ...more>>

  38. 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>>

  39. 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>>

  40. 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>>

  41. 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>>

  42. 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>>

  43. 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>>

  44. GEUP - Ramón 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>>

  45. Got Math? - Dave Radcliffe
    Blog by a community college math instructor and self-described "GeoGebra fanatic." Posts, which date back to December, 2010, have included "Stacking cannonballs," "Counting with Integrals," "A Paradoxical Dissection," "Gelfand's Question," "Imagining ...more>>

  46. Hung-Hsi Wu's Home Page - Hung-Hsi Wu
    Articles on the Common Core Mathematics Standards (CCSS) and math education in general, such as "The impact of Common Core Standards on the mathematics education of teachers," "Bringing the Common Core State Mathematics Standards to Life" (published in ...more>>

  47. I Hope This Old Train Breaks Down... - Mimi Yang
    Blog by a high school algebra, precalculus, and calculus teacher in Seattle, by way of teaching positions in New York City, El Salvador, and Germany. Posts, which date back to March, 2009, have included "Math Projects," "The magic of teaching; El Trifinio," ...more>>

  48. 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>>

  49. Impossible World - Vlad Alexeev
    About impossible figures in art. These figures can be painted on paper but cannot be represented in space. There are many artworks by M.C. Escher, Jos de Mey, Sandro del Prete and many other artists. Also, you can view animations and read articles about ...more>>

  50. 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>>


 
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