 Pythagoras: Music and Space  J. BoydBrent
A brief introduction to Pythagoras' observations on the relation between music and number. Graphics show music intervals expressed as mathematical ratios. Pythagoras observed that when the blacksmith struck his anvil, different notes were produced according
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 Pythagoras' Theorem in Babylonian Mathematics  MacTutor Math History Archives
Linked essay examining four Babylonian tablets that all have some connection with the Pythagorean theorem. With references and other related web sites.
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 Pythagorean Puzzle (SMILE)  Earl Zwicker, Illinois Institute of Technology
A lesson that models the phenomenological approach to enable students to prove the Pythagorean Theorem on their own using puzzle pieces and working together.
From the Geometry and Measurement and Algebra and Trigonometry sections of a collection of almost
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 The Pythagorean Theorem and the Maya Long Count  Charles Wm. Johnson; Science in Ancient Artwork 
Various essays dealing with the possible extension of the Pythagorean Theorem to the third power in relation to the mathematical and geometrical appearance of the Maya long count fractals within progressive series of right triangles. It would appear that
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 Pythagorean Theorem  Bellevue Community College
A brief illustrated page describing the theorem, with a little historical background and a proof.
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 Pythagorean Theorem  Greg Huberty, Univ. of Georgia
President James Garfield is credited with a proof of the Pythagorean theorem unlike other proofs in that it does not use squares of the sides; rather, it uses two triangles of sides a, b, and c along with a triangle with legs of c to create a trapezoid.
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 Pythagorean Theorem (Manipula Math)  International Education Software (IES)
Java applets for experimenting with shifting, rotating, and moving pieces of quadrilaterals to prove the Pythagorean Theorem.
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 The Pythagorean Theorem  Math Forum, Ask Dr. Math FAQ
What is the Pythagorean theorem? When would you use it? How can we prove it?
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 The Pythagorean Theorem (MSTE)  J. T. Johns; University of Illinois at UrbanaChampaign (UIUC)
Developing the Chinese proof of the Pythagorean theorem using the Geometer's Sketchpad. Students, each using a computer, are led through it by the worksheet supplied.
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 Pythagorean Theorem  Over 20 Proofs  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A general exposition of the Pythagorean theorem, with proofs from Euclid to Garfield  and more. Also links to other sites on the Web with proofs.
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 Pythagorean Theorem Proofs  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about proofs of the Pythagorean Theorem, such as "Do you know the exact number of proofs of the Pythagorean Theorem in existence?" and "Why doesn't the Pythagorean theorem work for triangles other than right triangles?"
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 Pythagorean Theorem  Warren F. Davis, Davis Associates, Inc.
An animated, nonmathematical, annotated proof of the Pythagorean Theorem, assumed to be the method of proof actually used by Pythagoras circa 550 BCE (see the Bronowski reference).
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 Pythagorean Triples  Math Forum, Ask Dr. Math FAQ
What is a Pythagorean triple? What do Pythagorean triples have to do with Fermat's Last Theorem?
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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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 QAMA  QAMA, LLC
"The calculator that thinks only if you think, too," QAMA requires the operator to first enter a reasonable estimate. QAMA encourages rounding and rapid backoftheenvelope reckoning, but does not tolerate errors of magnitude or sign, or of basic operations
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 Quadramania  CleverMedia
Use tiles of different shapes to form rectangles and earn points  ten times the square of the total number of tiles in the rectangle. Requires the Flash plugin.
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 Quadratic, Cubic, and Quartic Equations  MacTutor Math History Archives
Linked article describing the progress made on these equations from the Babylonians through Leibniz in 1673, with another Web site and 12 references.
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 Quadrilateral Classification  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about how to classify quadrilaterals, such as "Are squares rectangles? Are rectangles squares?
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 Quadrilateral Formulas (Ask Dr. Math FAQ)  Math Forum
Formulas for finding the area, perimeter, etc. of a quadrilateral: square, rectangle, parallelogram, rhombus, trapezoid, trapezium, kite, and cyclic quadrilateral.
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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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 The Quantile Framework for Mathematics  MetaMetrics, Inc.
The Quantile Framework measures a student's mathematical achievement and concept/application solvability on the same scale, enabling educators to use Quantile measures to monitor a student's development in math and forecast performance on endofyear
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 Quantitative and Qualitative Research Supporting Prentice Hall Mathematics Programs  Pearson Education, Inc.
Download PDFs: the Research Summary of Prentice Hall Mathematics programs; Quantitative Research on 1999 Course 1, Algebra LVR, 2000 PreAlgebra Research Summary, and 1999 Middle School Math; Qualitative Research on Unique Progress and on Reading and
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 QuantumBrainBenders  Joel Klebanoff
A series of puzzles: find a series of numbers in a grid that add to the given sum. A new puzzle for each of three skill levels is posted daily. The site also includes an archive of previous puzzles.
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 The Quarter Mile Math Programs  Barnum Software
Math practice software for reinforcement, remediation, and review. The programs pose problems to answer as fast as possible in selfcompetition with the five previous best times, simultaneously replayed on screen as a straightline race of dragsters or
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 QuasiTiler (Gallery of Interactive Geometry)  Eugenio Durand; The Geometry Center
Generate Penrose tilings or design your own nonperiodic tilings of the plane with this interactive application. In the process, you can select and visualize plane crosssections of a lattice in anywhere from 3 up to 13 dimensions. Geometry of Quasicrystals
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 Query Interface to the Contents of the Mathematics Archives  University of Tennessee, Knoxville (UTK)
Search software, abstracts and reviews; teaching materials, etc. by keyword.
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 QueryTree  D4 Software Ltd
Drag and drop this free tool to explore, analyze, and visualize data — without special code, formulas, or even software: QueryTree queries tabular information within your web browser.
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 Qu'estce qu'un nombre? Edoc Mathématiques  Service du Film de Recherche Scientifique (SFRS)
Site basé sur le livre de S. Houzel, qui retrace l'histoire du nombre depuis l'Antiquité. In French. Site based on the book by S. Houzel, retracing the history numbers.
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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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 Quick Conversion  David Giordano
A shareware tool for Win95/98/ME/NT4/2000/XP that converts several units of length, weight and capacity. Free trial version available for download.
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 QuickMath
A site for answering common algebra questions automatically: users enter their email address and a mathematical expression, and decide whether they wish to expand, factorize, or simplify that expression. The answer is computed
automatically and returned
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 Quilt Block Patterns  Hester ButlerEhle
Links to a variety of quilt block patterns (fourpatch, fivepatch, ninepatch, and more). Several are suitable for replication using pattern blocks.
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 Quilt Design Program MiniReviews  Robert G. Holland, The Virtual Quilt Company
A brief review of several quilt design programs. Links permit you to download a demo version of some programs. QuiltPro is the Windowsbased program of choice.
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 Quilts for all Seasons  Mary Murnighan
Quilts made in the classroom can illustrate basic concepts, including a multiplication table and square root quilt, shown.
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 Quite BASIC  Nikko Strom
A JavaScript environment for coding in the classic BASIC programming language. Math projects include the Fibonacci Sequence, Fibonacci Squares, the Sieve of Eratosthenes, and Mandelbrot; puzzles include the Towers of Hanoi and variations of the Eight
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 Quiz Me  D. Kell and Mercer County Community College
Interactive quizzes constructed using software provided by Addison Wesley Longman Publishers. Autoscoring, multiple choice selftests on whole numbers (place value, operations, applications, rounding, roots and order of operations); fractions (equivalencies,
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 QuizStar  Advanced Learning Technologies, Center for Research on Learning at The University of Kansas
Create online quizzes and organize the results. Features include the ability to attach multimedia files to questions, to make quizzes in multiple languages, and more.
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 The Quotations Page  Michael & Laura Moncur
A searchable collection of resources and information relating to quotations. Quotes of the Day; Quotes of the Week; Motivational Quotes of the Day; Random Quotes; Search; Links  a listing of other useful resources related to quotations. You are invited
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 Qwizdom
Qwizdom's wireless handheld technologies and student response system let teachers instantly assess students' comprehension and identify their misconceptions and errors, in parallel, without having to facilitate multiple voices or single out "quiet" students.
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 Radical Constructivism  Alex Riegler, Ed.
People, organizations, and online papers that deal with radical, epistemological, psychological and educational constructivism and second order cybernetics. Includes general introductions, online books and papers, links, conferences, and a URL submission
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 Radical Math
A site for integrating issues of social justice into the classroom. Contribute your own resources, search them by keyword, or browse by math topic, title, or types such as lesson plans, article, charts, graphs, data sets, maps, books, websites, and more.
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 Radius and Diameter  NASA Lewis Learning Technologies Project
Mr. Jordan wants to put up a fence all the way across the middle of his round vegetable garden. If the radius of the garden is 3 feet, how many feet of fencing will Mr. Jordan need to buy? A detailed answer is provided. From NASA's 9th Grade Math Proficiency
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 Rainforest Realities  Furlano, Nelson, Rakes, Willis; Braceville Elementary School, Braceville, Illinois
A project for third and sixth graders, involving Internet research, data collection, and conservation efforts on behalf of the Brazilian rainforest. Site includes a summary of the project, scenario, sample student projects, and Internet reference links.
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 Raise Smart Kids  Inna Shapiro
Download Powerpoint presentations of math problems, with answers: logic, basic arithmetic operations, natural numbers, pigeonhole principle, fractions, pouring, cutting, weighing, divisibility, and more. For Croatian translations of some of Shapiro's
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 Ralph A. Raimi Homepage  Ralph A. Raimi
The University of Rochester Professor Emeritus' notes on math education and nontechnical
writings with a mathematics theme include Whatever became of the New Math?; Have we forgotten the value of memory?, a comment on the New York Regents' Bexamination
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 Rama Math Help  Marty Schultz
Pages to help people solve the alien number machines in the Sierra game Rama, with a lesson in base 8 and 16 (and 10) and base conversions, useful for others, too. Includes a review of base 10 and an overview of bases 8 and 16. There is also a link to
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 RAND Education  RAND Corporation
A division of the RAND Corporation, RAND Education is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. In particular, see the RAND Mathematics Study Panel (RSMP), part of its Achievement for All research
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 Random (Blog)  Neil Bickford
Bickford writes "about mathematics, cellular automata, programming, Rube Goldberg Machines, and overall randomness." Posts of the selfdescribed "mathematician/programmer/scientist," dating back to May, 2009  when Bickford was 11 years old  have included
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 Randomise Me  Better Data Limited
This platform for running trials randomizes participants and asks them the questions you choose at prespecified dates or times. As study subjects report their outcomes, Randomise Me measures the difference between the two groups, and calculates the statistical
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 RapidCalculator  ProAlgorithms.com
This mobile computing platform for web and handheld devices performs matrix operations like multiplication/inverses; plots graphs of functions and operations on polynomials; manipulates complex numbers; and evaluates other math, science, and engineering
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