 Platonic Solids and Euler's Formula  Margo Lynn Mankus
The lesson plan for Platonic Solids and Euler's Formula offers definitions for simple closed surfaces, solids, and regular polyhedra. After observing platonic solids nets, students complete the provided (blank) table for recording vertices and edges of
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 The Platonic Solids and Polyhedra  Paul Flavin
The 5 Platonic Solids and one oddball polyhedron (a soccer ball). The kinship among the polyhedra is reflected in a 'family photo'. The polyhedra are laid out in a triangular pattern, with the tetrahedron alone in its row, joined with the other Platonic
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 The Platonic Solids Information Site  Dan Radin
Information, computer graphics, a computeranimated video, teaching tools, and links pertaining to the threedimensional geometry of the polyhedron in its many forms. Radin focuses particularly on the five Platonic solidsthe tetrahedron, the cube, the
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 Platonic Solids  Paul Bourke
Definitions, formulas, and illustrations of the threedimensional regular polyhedra: tetrahedron, octahedron, hexahedron (cube), icosahedron, dodecahedron, including the solids as drawn in Kepler's Mysterium Cosmographicum, and as represented in stone
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 Platonic Solids  Rüdiger Appel
Dwnload GIF animations, with shadow effects, of the five Platonic solids. Also available in German.
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 Platonische Körper  Klaus Bernt
Nets of the Platonic solids to fold. Download in postscript format for printing. In German.
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 Play a Piano : An interactive Musical Java Activity  Paul Flavin
Play a Piano / Synthesizer / Oscilloscope: Play the piano using your mouse or computer's keyboard. Watch the wave forms as well as hear them. This virtual reality Java piano lets you play the piano and have a little fun while learning the relation between
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 Play Ball (SMILE)  Roslyn N. Matthews, South Shore High School
A baseball lesson designed to teach students to compute batting and earned run averages; given general dimensions of the playing field and some equipment, change the units to the metric system; find the diagonal distance from 3rd base to 1st base; and
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 A Playground of Thoughts  Takasugi Shinji
Takasugi's "Number Systems of the World" lists dozens of languages; how to count from zero to one hundred in each; and the mathematical meaning of the expressions for each numeral. For example, the French say "93" with quatrevingttreize, which means
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 Please Excuse My Dear Aunt Sally  Robert Owens
A stepbystep introduction to the mathematics behind the PEMDAS mnemonic. With examples, quizzes, and puzzles illustrating order of operations. A Wired@School project of The Franklin Institute Online Museum Educator program.
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 Plexagon  Pleated Hexagon  Paul Bourke, Ron Evans
Plexagon is a new modular geometry based on the radial pleating of polygonal plates, and their joining or cobracing into 3D modules. This engineering approach can form a very practical basis for modular greenhouses (using recycled plastic sheeting) and
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 Plotting Linear Equations  SPICE: StandardsBased Products for Interactive Classroom Education
An interactive workspace for graphing points, ordered pairs, lines, and planes. SPICE Online modules are constructed with three separate but functionally linked
areas, Instructions/Lessons, Display/Work Space, and Assessment. Detailed directions are
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 Plouffe's Inverter  Simon Plouffe
A database of more than 84,800,000 mathematical constants like Pi, Sqrt(2), Catalan and Euler's gamma. Enter a number, search or browse, and the programs will find what the number is made of. From the author of the Encyclopedia of Integer Sequences (with
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 Plumbing Statistics and Information  PlumbingSupply.com
Conversions, formulas, and tables about water weights, pressures, flows, volumes, horse power, pump efficiency, the weight of 100 yards of pipe filled with water, and flow rate to velocity comparisons. Also, a water flow rate guide and abbreviations.
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 Plus Magazine  Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Plus (formerly PASSMaths) is a triannual online magazine for older pupils and the general public. It publishes articles explaining the diverse applications of mathematics used in solving problems in physics, chemistry, biology, engineering, and economics.
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 PNA: Revista de Investigación en Didáctica de la Matemática
PNA is a peerreview open access research journal published by the Spanish research group "Mathematics Education. Numerical Thinking" of the Andalusian Plan of Research. This journal includes papers in English and Spanish related to the teaching and learning
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 PNC Christmas Price Index  PNC Bank
PNC calculates the Christmas Price Index each year as a fun, lighthearted way to look at the increasing cost of goods and services in the song, "The Twelve Days of Christmas." Areas of their site include a video presentation, an interactive chart, and
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 Podcast Directory: Math  Podseek
Podcasts of various math instruction and tutorials. Log in to rate or review the links.
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 Poetry and Mathematics  Math Forum, Ask Dr. Math Common Question
A selection of sites with mathematical poetry, including limericks.
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 Poetry Patterns (TEAMS)  Jeannie Toshima; TEAMS Distance Learning, Los Angeles County Office of Education
Mathematical patterns in numbers and in poetry. This activity involves students in writing two forms of poetry  diamante and cinquain  that involve mathematical word patterns.
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 Polaroid Geometry Scavenger Hunt  Math Forum
This activity presented by Ruth Carver at the Math Forum's 1996 Summer Institute, "Constructing Mathematics on the Internet," displays pictures of items found on this a hunt for a list of geometric items (tessellations, symmetry, concentric circles, shapes,
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 Poly and Poly Pro  Pedagoguery Software
Mac and Windows shareware programs for exploring and constructing paper models of polyhedra. With Poly, you can manipulate a polyhedral solid on the computer and print out a flattened version (a net) which can then be cut out, folded, and taped, to produce
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 Polydron
British vendors of two and three dimensional, handson, geometric modelling systems and other geometric toys. Polydron Corporation history, online catalogue, and order form. To purchase Polydron products in the United States, contact Polydron International
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 Polyedergarten  U. Mikloweit
Photographs of paper models of uniform polyhedra, prisms and compounds. Versions of the site also exist in German and French.
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 Polygon Diagonals  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about polygon diagonals, such as "How many diagonals can be drawn for a polygon with n sides?"
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 PolygonFlux  John Miller
An iPad app for exploring the path taken by a point bouncing around inside a regular polygon of 3 to 14 sides. Set the initial angle and starting location, the number of bounces, and the number of sides for the polygon; collect an album of resulting "fluxagons"
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 Polygons Made To Order (SMILE)  Loretta Malone, Washington High School
A lesson designed to teach students to construct a regular polygon inscribed in a circle by using isosceles triangles with vertex angles at the center of the circle and legs as radii; determine the values of the angles; and discover that as the number
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 Polyhedra (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A polyhedron is the threedimensional version of a polygon, a threedimensional figure made by gluing polygons together. This handout discusses polyhedra, presents explorative activities, and supplies a "homework" assignment. Includes the first 20 Greek
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 Polyhedra in the Classroom  Suzanne Alejandre
Middle School student activities to pursue with a computer in the classroom. Introduction to Polyhedra; paper nets to print out and fold; Kaleidotile; Buckyballs; Crystals (paper nets, systems); Cube coloring problems; links to polyhedra on the Web.
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 Polyhedra plaited with paper strips  H. B. Meyer
A guide to generating certain polyhedra (Platonian, Archimedian and other solids) by plaiting paper strips (glueless method). In several cases pattern download of the paper strips is possible. In German and English.
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 Polyhedra  Rolf Asmund
A gallery of regular polyhedra, snub uniform polyhedra, deltahedra (polyhedra consisting only of equilateral triangles), and polychora; with animations, still graphics, and some taxonomic data (vertices, edges, faces, polygons, radii, and more). Mobius
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 Polyhedra Study  Ha Le
An attempt to bring out the beauty of polyhedral study in particular and of mathematics in general via the use of the geom3d package in Maple and VRML (Virtual Reality Modelling Language). Categories: regular polyhedra; Archimedean solids; duality; facet;
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 Polyhedrons: PolyMod Polyhedron Modeler  Daniel Grunberg
An experimental K12 and collegelevel Windows software program that allows the user to create both regular and irregular 3dimensional polyhedrons on the screen and view them from different angles, then print out a polyhedral net or template and glue
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 Polymath Love  Gary Smith
Free and lowcost Macintosh software for middle school mathematics: over
200 programs written by a classroom teacher. Program descriptions and some free programs are available to download from the Web, or order the CDROM for $100 U.S., which includes
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 Polymorf  Rick Engel
A math manipulative, construction set toy, model building kit, and 3D puzzle all in one, used for modeling polyhedra and the structure of molecules and crystals. Build lifelike geometric models of creatures, vehicles, and structures. For all ages.
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 Polynomiography  Bahman Kalantari
Polynomiography is the "art and science of visualization in approximation of zeros of polynomials. This visualization is via fractal and nonfractal images created based on the mathematical convergence properties of iteration functions." The galleries
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 Polyominoes  Cynthia Lanius
What do dominoes and Tetris have in common? Both games use pieces that are formed of squares placed side by side. Dominoes use 2 squares; Tetris pieces (or tetrominoes) use 4 squares. Mathematician Solomon Golomb, in a 1953 talk at the Harvard Mathematics
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 Polyominoes  Kevin Gong
Information and Polyominoes software to download. A polyomino is a piece made up entirely of squares connected edgetoedge. For example, a domino is a polyomino with 2 squares. In this program, you can use pentominoes, tetrominoes, trominoes, hexominoes,
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 Polyominoes  Slavik Jablan
A plane topological disk (i.e. a plane region without "holes") consisting of n edgetoedge adjacent squares is called a polyomino. This site offers a shape description: in every border square cell of a polyomino we could introduce twosided mirrors perpendicular
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 POP Mathematics (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
Did you ever wonder what made your teacher get so excited about some topic in Mathematics? On this page the Math Archives site collects items about Mathematics that may explain this weird behavior. Also included on this page are links they couldn't figure
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 Popular Science
Browse the science and technology news magazine's math articles, where stories have included "Mathematician Cracks The Code for Making Hollywood Blockbusters," "Japanese Super Computer Calculates Pi To The 2.5 Trillionth Decimal Point," "Math, Art, and
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 Population Education  Population Connection
Browse the Population Connection's catalog for population education teaching materials and posters. The library contains newsletters, quick facts, reference materials such as free activities and frequently asked questions, quizzes, and more. Population
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 Population Index 19861998  Office of Population Research, Princeton University
The primary reference tool to the world's population literature, presenting an annotated bibliography of recently published books, journal articles, working papers, and other material on population topics. It covers all fields of interest to demographers,
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 Portion Distortion  National Institutes of Health (NIH)
How do the portions served in today's fast food restaurants compare to those available 20 years ago? Take the "Portion Distortion" quizzes to learn exactly how much portions have "super sized," as well as the amount of physical activity required to burn
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 Portraits of Albert Einstein  Robert Bruen
Numerous blackandwhite photographs of Einstein, provided by Robert Bruen.
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 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
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 Positive/Negative Integer Rules  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about positive and negative integer rules, such as "When do two negative numbers equal a positive?"
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 Potent Problems  Institute for Studies in Educational Mathematics
A database of problems that deepen understanding of mathematics through multiple answers, approaches to an answer, interpretations, extensions, perspectives on a mathematical idea, layers of complexity, or algorithms. Potent problem content topics include
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 Power and Pedagogy: Transforming Education through Information Technology  Robbie McClintock
A book from the Institute for Learning Technologies (ILTweb), Teachers College, Columbia University. Chapters include: The Computer as a System; The Educator's Mission; The Span of Pedagogical Possibility; Making a New Educational System; and Education
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 Power Cards: A Mathematical Puzzle  Cynthia Lanius
Choose a number from 131. Tell me which cards below contain the number, and I can tell you the number. How do I do it? (A hint and directions for making more cards are given.)
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