 Proofs in Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A discussion of the value of proofs in the classroom, followed by a collection of proofs classified as either simple or charming. Simple proofs: Number of vowels in a Lewis Carroll game; Pigeonhole Principle; Number of X's and O's; Coloring points in
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 ProRadian  Jennifer Silverman
Protractors for learning about radians "in the same way you learned about degrees — by measuring." ProRadian learning sets contain two protractors, one scaled in 0.1 radians and one scaled in π/24 radians. Silverman, who now writes math curriculum
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 ProTeacher  ProTeacher
A teachercreated resource site for elementary schoolteachers, offering lessons and materials, education news, links for finding schools, news and weather, and a reference desk. An index of links to information on various academic subjects includes Mathematics
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 ProveIt! TwoColumn Proofs Practice Tool  Michael Ferraro
Michael Ferraro of Balboa High School in San Francisco, CA, created this tool for students to practice their twocolumn proof skills. Choose a topic to begin, and choose statements and reasons from the list given. As you go, there are options to remove
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 Public Domain Materials  Mike Jones
A collection of public domain instructional and expository materials from a USborn math teacher who teaches in China. Microsoft Word and PDF downloads include a monthly circular consisting of short problems, "The BowandArrow Problem," and "Twinkle
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 Puzzlers  Bryan Clair, University of Chicago
A collection of Clair's favorite puzzles (no discussion or answers are provided): The Nine Dots; Weighing Coins; The Dollar Hotel, Planning an Orchard; The Math Department; Tea and Cream; Bugs on a Square; River Crossing; More Crawling Bugs; The Unexpected
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 Puzzles  Martin Watson
Blogs, comments, musings, design sketches, and photographs of mechanical puzzles by an avid collector and craftsman. Puzzle news, the author's own burrs (Watson's wormhole, digigrams, Dutch cubist), indepth explorations of manipulative puzzles (Puzzles
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Puzzles/Oneplayer Games  Jürg Nievergelt
Rubik's Cube and its variants. The 3*3*3* cube; Rubik's Revenge (4*4*4 cube); Pyramix (tetrahedron); Rubik's Clock; Rubik's Magic. Also Cryptequations, polyominoes, and links to a list of similar puzzles.
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 The Puzzle TOAD  Tom Bohman, Oleg Pikhurko, Alan Frieze, and Danny Sleator, School of Computer Science, Carnegie Mellon University
Send the authors your solutions to their challenging graph theory, number theory, geometry, discrete mathematics, logic, and other puzzles. Revisit periodically to see the latest question, and download PDFs of solutions of past problems.
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 Puzzling Lines  Ivars Peterson (MathTrek)
Sol LeWitt has often featured geometric and combinatorial themes in his sculptures, paintings, and drawings. In 1973 he composed "Straight Lines in Four Directions and All Their Possible Combinations," a grid of 15 squares, each inscribed with one or
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 The Puzzling World of Barry R. Clarke  Barry R. Clarke
Brain teasers from Clarke's column in The Daily Telegraph (UK) and from his various puzzle books: liar problems, logic teasers, number conundrums, matchstick puzzles, lateral mindbenders, and more. With links to other puzzles sites and an article on
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 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,
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 Pythia Equation Solver  Pablo Perna
The site contains equations for which the user can solve automatically any unknown given the known parameters. Geometry equations include areas of triangles and circles, and surface area and volume for various 3D shapes. Equations also include electronics
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 Quadrangle  Nikolay Khizhnjak
In Russian: Common properties of quadrangles, a cube and a circle are considered.
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 Quandaries and Queries (Math Central)  Dept. of Mathematics and Statistics, University of Regina, Saskatchewan, Canada
A math Question and Answer area for K12 students and teachers, with searchable archives of past questions and answers.
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 Quelques feuilles de Maple  Maple expliqué en français  Canonne
An introduction to Maple in French. Algèbre Linéaire; Equations Différentielles; Equations et Inéquations; Fonctions; Géométrie; Graphiques; Polynômes et Fractions rationnelles; Programmation; Statistiques.
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 Quia!  The Learning Group
Create your own Javaenabled quizzes, home pages, and learning games to play over the Internet: enter your material into a form, select a few options, and press a button. Games have been created and are available for browsing in mathematics, as well as:
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 Quizma > Matemática Cálculo Robótica  Harold Suárez Guzmán
In Spanish: Clases y Orientación en Matemáticas Cálculo y Robótica. Fórmulas  Demostraciones  Ejercicios  Ejemplos  Cálculo Interactivo. Algebra, Logaritmos, Trigonometría, Geometría, Estadística, Ecuaciones, Problemas de Planteo, Funciones, Geometría
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 the radical rational ...  Pam Wilson
Blog by a National Board Certified Teacher (NBCT) of Algebra II and Geometry "in search of innovative ideas with a wellbalanced approach for the math classroom." Posts, which date back to July, 2011, have included "The Purpose of Life and The Quadratic
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 Rafael Pacheco  Rafael Pacheco
In Portuguese: lessons and materials centered on high school geometry.
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 Rainforest Maths  Jenny Eather
Flashbased interactive mathematics activities with an Australian rainforest theme, for grades K through 6. Topics include: Number & Number Systems; Operations & Calculations; Strategies & Processes; Patterns & Algebra; Measurement; Space & Geometry;
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 The Rappin' Mathematician  Alex Kajitani
The Rappin' Mathematician provides teachers and students with rap songs about math. Two CDs available separately or together; samples and testimonials available free on the site.
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 Reading a Protractor or a Ruler  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about reading a protractor or a ruler, such as "What do the little lines on a ruler stand for?"
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 Real World  Lesson Ideas: Math; Teachnet.Com
Activities: Buy Groceries; Plan Christmas Vacation; Credit Cards for Kids; Who's Average?; Carpet Your Classroom; Division from a Printer's Viewpoint.
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 Real World Math  Thomas J. Petra
Lessons that use Google Earth to teach math include Oil Spill Estimates and Scientific Notations; Iditarod Challenge and Typhoon Project; Four Color Map and Mazes & Labyrinths; Crop Circles and Fractal Measurement; Lunar Sports and Rockets. Each lesson
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 Real World Math Via the Internet  Wendi Fein, M.A., Heritage Online
K12 math using real world problems and data that will support interdisciplinary teaching of science, social studies, history and business. Teachers in this course take advantage of the Internet for class discussions and to access material, and prepare
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 Reason and Wonder  Michael Fenton
Blog by a Fresno (California) junior high and high school mathematics teacher. Posts, which date back to March, 2013, have included "Estimation 180 Rocks"; "Quadratics Matching Activity, Take 2"; "Solved the Student Engagement Problem Yet? Me Neither";
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 Recipes for Pi  Anna Weltman
Blog born partly "out of a mixture of enthusiasm and anger about the ways that the world learns and shares math." Posts, which date back to February, 2012, have included "Tinker, Tinker, Algebra Student"; "Beauty Is a Math Art Class"; "The Mathematics
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 Recommended Mathematics Literature  International Mathematics Olympiad (IMO)
A page of readings recommended by the International Mathematics Olympiad in association with Amazon.com Books. Major sections include: Problem Solving; Collections of Mathematical (Competition) Problems; Anthologies and Surveys; Number Theory; Analysis;
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 A Recursive Process  Dan Anderson
Anderson's blog, which dates back to June of 2010, has included posts such as "Robocode & Math," "Standards Based Grading," "Cake:Frosting (A look into a proper ratio of real math:cool tech)," "Paper Towels WCYDWT (What Can You Do With This?)," "Two
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 Reflections in the Why  Chris Hunter
Blog by a K–12 numeracy helping teacher in Vancouver. Posts, which date back to September, 2010, have included "Linear Functions — Concretely, Pictorially, Symbolically"; "Math Manipulative of the Month — Base Ten Blocks"; "A Linear Functions
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 Reflections of a High School Math Teacher  Dave Sladkey
Blog by a teacher at Naperville (Illinois) Central High School. Posts, which date back to March, 2008, have included "Thinking Blocks," "School is a Place to Learn from your Mistakes," "More on When Students Teach," "Pop Goes the Weasel and the Quadratic
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 ReInventing FourthGrade Mathematics  Jack J. Lopez; Kodak
A series of four related activities through which students acquired a firm, active knowledge of some of the basic terminology of Euclidean geometry, learning the vocabulary for describing various geometric shapes and transformations. Students photographed
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 Religious Beliefs Made Visual: Geometry and Islam  Jane Norman, Consultant, Metropolitan Museum of Art
Although the shapes and structures are based on the geometry of Euclid and other Greek mathematicians, Islamic artists used them to create visual statements about religious ideas. A discussion of the use of geometric motifs in Islamic art, with instructions
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 Renato Montemurro
Libri dall'inventore delle tabelline times table: L'insegnamento della matematica nella scuola elementare (La Scuola); La matematica dalla scuola dell'infanzia alla scuola elementare (La Nuova Italia); una guida didattica per l'insegnante della scuola
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 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
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 Research Papers  The Geometry Center
Scientific papers written at the Geometry Center that use the unique aspects of hypertext to present information in a nonlinear fashion. Many include movies or interactive pictures. A Tight Polyhedral Immersion of the Real Projective Plane with one Handle
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 Resourceaholic  Joanne Morgan
Blog of teaching ideas and resources recommended by a Key Stage 5 Coordinator in a Greater London (UK) girls' grammar school. Posts, which date back to April, 2014, have included a recurring series of "math gems" as well as "Highest Common Factor and
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 Resource Bibliography: Children's Trade Books in Math  Beth G. Newhouse, Department of Mathematics & Statictics, Arizona State University
A selected bibliography of books for kids that teach and reinforce math concepts, organized by topic: counting and number, number operations, large numbers, money, geometry, algebra, miscellaneous topics. Originally compiled by Dorothy Giroux and Denise
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 Resource Room (Math Central)  University of Regina, Regina, Saskatchewan, Canada
French version: Centre de ressources. A service of Math Central that allows mathematics educators to share resources having to do with math teaching. Submissions are stored in a database that can be browsed by educational level and curriculum strand,
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 The Return of Odysseus and the Elements of Euclid  Andrew Wiesner; Classics Dept., Colorado College
The author's 1994 honors thesis, which attempts to shed new light on the origins of Greek mathematics.
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 Reuleaux Triangle  Paul Kunkel
An investigation into the Reuleaux triangle and its properties.
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 The Review Zone  Tina Velgos
Indepth software reviews for parents and teachers. CDROM Reviews in all major educational topic categories including Math and Science; also an alphabetical CDROM index of all titles reviewed, each title with the recommended age or grade level.
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 Revision Universe  Arnav Rawat
Downloadable worksheets with questions on cumulative frequency; line graphs; mean, mode, median and range; pie charts; curved graphs; expanding brackets; graphical solution of equations; ratio; trial and improvement; area and perimeter; density, mass
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 Rich Maths Tasks to Engage  East Midlands Maths Network
These teachermade rich maths tasks in number, algebra, shape, and data handling emerged from a collaborative project run by Jon Stratford, Lead Practitioner for the Specialist Schools and Academies Trust (SSAT): arrangements, clock face, chocolate dilemma,
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 Riding on Square Wheels  Ivars Peterson (MathTrek)
A square wheel may be the ultimate flat tire. There's no way it can roll over a flat, smooth road without a sequence of jarring bumps. However, a square wheel can roll smoothly, keeping the axle moving in a straight line and at a constant velocity, if
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 Right Brained Math  Brandon Price
"Searching for divergence and creativity in all that mathy stuff." Price teaches algebra, geometry, statistics, and robotics at Austin's Khabele School, an International Baccalaureate (IB) World School. His blog, which dates back to March, 2013, has
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 Riverdeep  Mathematics  Riverdeep Interactive Learning Limited
Online resources for students, educators, and parents, that build on Riverdeep Interactive Learning's courseware and interactive simulations. Read about or demo Destination Math, a curriculum on CDROM in Basic Mathematics, PreAlgebra, and Algebra I
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 Robert J. Lang Origami  Robert J. Lang
Lang has catalogued and diagrammed over 400 models, combining aspects of the Western school of mathematical origami design with the Eastern emphasis upon line and form. Read about origami mathematics, which mathematically describe the underlying laws
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 Robert Kaplinsky  Glenrock Consulting  Robert Kaplinsky
Lessons consist of "The Challenge(s)," "Question(s) To Ask," "Consider This," and alignments to Common Core State Standards (CCSS): "How Can We Water All Of The Grass?" and "How Much Money Should Dr. Evil Demand?" and "How Did They Make Ms. PacMan?"
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