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 Peter Ash's Thoughts on Math and Education - Peter Ash Musings on doing and teaching mathematics, book reviews, and math problems both elementary and advanced from the creator of Cambridge Math Learning. Blog posts, which date back to August of 2007, include "Very Proper Fractions"; "Physical Models for Non-Euclidean ...more>> Positive and negative Euler characteristic (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center A symmetry pattern on the sphere always gives rise to a quotient orbifold with positive Euler characteristic. In fact, if the order of symmetry is k, then the Euler characteristic of the quotient orbifold is 2/k, since the Euler characteristic of the ...more>> Professora Karolina Barone Ribeiro da Silva - Karolina Barone Ribeiro da Silva Aulas de geometria incluem geometria esférica e geografia, geometria não euclidiana e a física, uma guia com atividades simples sobre geometria euclidiana plana, e "de Euclides a Poincaré." Veja tambem as coleções ...more>> PyGeo - Arthur Siegel A dynamic geometry toolset written in Python, with dependencies on Python's Numeric and VPython extensions. It defines a set of geometric primitives in 3d space and allows for the construction of geometric models that can be manipulated interactively, ...more>> Rectilinear Geometry (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine An extensive annotated list of links to material on geometric problems defined on squares and rectangles, higher dimensional boxes, cubes, and hypercubes, right triangles and other right-angled figures, and "taxicab geometry" in which distances are measured ...more>> Replacing Iowa and New Hampshire (Math Chat) - Frank Morgan, MAA Online Answer to the challenge: Propose a new system for selecting Presidential candidates. Winning answer by Joe Shipman: a year before the primaries start choose five congressional districts at random to have a primary the last week in January and five more ...more>> Research Papers - The Geometry Center Scientific papers written at the Geometry Center that use the unique aspects of hypertext to present information in a non-linear fashion. Many include movies or interactive pictures. A Tight Polyhedral Immersion of the Real Projective Plane with one Handle ...more>> Sacred Science: Essays on Mathematics, Physics and Spiritual Philosophy - Thomas J. McFarlane Essays in philosophy and religion intended to reveal the harmony in mathematical, physical and spiritual knowledge: Quantum Mechanics and Reality; Symmetry in Science and Religion; Science: Physical and Spiritual; Kant and Mathematical Knowledge; The ...more>> Search Ask Dr. Math Archives - The Math Forum Search by keyword K-12 math questions answered by volunteer 'math doctors' in the U.S. and abroad. ...more>> Sketchpad 3.0 Gallery - Finzer, Jackiw; Key Curriculum Press & The Math Forum A collection of sketches and scripts that show off new features of version 3 of the Geometer's Sketchpad in categories: Arcs and Architecture; Algebra and Beyond; Physics; Statistics; Curves; and Poincare Disk. ...more>> Smarandache Notions - J. Castillo A journal for papers related to the work of Florentin Smarandache, who in the 1960s proposed some new geometries: Non-Geometry, Counter-Projective Geometry, Anti-Geometry, and Paradoxist geometry, which would generalize and unite Euclid, Lobachevsky/Bolyai/Gauss, ...more>> Smarandache Paradoxist Geometry - Chimienti, Bencze Uniting Euclidean, Lobachevsky-Bolyai-Gauss, and Riemannian geometries. Smarandache geometries are partially Euclidean and partially Non-Euclidean. It is based on the first four of Euclid's postulates, but the fifth postulate is replaced so that there ...more>> SMILE Program Mathematics Index - Science and Mathematics Initiatives for Learning Enhancement Over 200 single-concept lesson plans in the following categories: Geometry and Measurement, Patterns and Logic, Probability and Statistics, Recreational and Creative Math, Practical and Applied Math, Arithmetic, Graphs and Visuals, Algebra and Trigonometry, ...more>> Social and Historical Aspects of Mathematics - Thompson, Wilkinson; Univ. of Wolverhampton (UK) Math history: the development of counting systems and notations (includes Egyptian, Sumerian, Babylonian, and Hindu-Arabic numerals); of notation and concepts in algebra; Changing systems of geometry from Euclid to Klein's programme (includes New Geometries, ...more>> Studies In Mathematics: Web Discussion - Breindel, Clair; University of Chicago The University of Chicago's alternative course to calculus. The first quarter is number theory, and the second quarter is geometry and symmetry. When Bryan Clair taught the courses, he covered the history of number systems, different base number systems ...more>> Taxicab Angles and Trigonometry - Thompson, Dray Taxicab geometry is essentially the study of an ideal city with all roads running horizontal or vertical. The roads must be used to get from point A to point B; thus, the normal Euclidean distance function in the plane needs to be modified. Article abstract: ...more>> Taxicab Geometry/La Géométrie des Taxis - Pascal Tesson A term project for a Pattern Recognition course given by Godfried Toussaint at McGill University. Other student projects from 1997, 1998 and from a Computational Geometry course are also available. Contents: What is Taxicab Geometry? Why Taxicab Geometry? ...more>> Thinking Mathematics! - James Tanton Tanton writes wordless volumes of creative and surprising math puzzles, accessible approaches to calculus suitable for standardized test preparation, and curriculum "tidbits." Download his free guides to fractions and "to everything quadratic," and watch ...more>> Topics in Geometry - Don Shimamoto, Swarthmore College Six sketches related to hyperbolic geometry. One illustrates that hyperbolic reflection in the Poincare disk corresponds to Euclidean inversion. Two sketches illustrate transformations that may or may not be hyperbolic rotation and translation. One sketch ...more>> Virtual Trips to Black Holes and Neutron Stars - Robert Nemiroff A published paper understandable to undergraduates: "Visual Distortions Near a Black Hole and Neutron Star," Nemiroff, R. J. 1993, American Journal of Physics, 61, 619. Gravitational Principles and Mathematics; General Description of Visual Distortion ...more>> Visualizing Math Tumblr of mathematical images begun June, 2013, by two high school students from Minnesota. Images have included "A panorama on a Möbius strip," "Fractal Trees by Robert Fathauer," "elegantly constructed proofs through visual inspection," "animation ...more>> Visual Math Institute - Ralph Abraham, Director Created in 1975 to administer grants from the State of California and the NSF. The "Visual Math Project" was created at UCSC for the development of computer-graphic based materials for teaching university math: precalculus, calculus, linear algebra, and ...more>> Wilson Stothers' Geometry Pages - Wilson Stothers, University of Glasgow A guide to the various geometry topics on Stothers' pages, including Euclidean, affine, projective, inversive, and hyperbolic geometries, and the Klein View of geometry. These pages began as an experiment in teaching projective conics using Cabri to provide ...more>>
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