 A Proof that e is Irrational  Isaac Reed
A proof by contradiction that relies on the expression of e as a power series.
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 Properties Glossary  Math Forum, Ask Dr. Math FAQ
What is an operation? What is an identity? What are the associative, commutative, and distributive properties? What is the property of closure? What is the inverse of something?
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 The Pros and Cons of Technology in the Classroom  Roy Pea, Larry Cuban, Bay Area School Reform Collaborative, TAPPED IN
Nationally recognized experts on the subject, Dr. Roy Pea and Dr. Larry Cuban offer their insights in this transcript of speeches each gave to a gathering of organizations that fund school reform projects. A transcript of questions and answers from the
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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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 Providing HandsOn, MindsOn, and Authentic Learning Experiences in Mathematics (NCREL)  Cathy Cook; Pathways to School Improvement
A linked essay giving overview, background, and issues around constructivist theory and its implementation. "When educators begin to see learning as knowledge construction, they change their thinking about curriculum, instruction, and assessment, developing
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 Proving Pi (SMILE)  Gwendolyn D. Williams, Paul Robeson High School
A lesson designed to show the ratio of pi by revolving a circle one complete time, and to teach students why the ratio is true. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Psychosemiotic Theory and Educational Practice  Alice Leonard
Walkerdine and Corran's (1979) paper showed how psychosemiology may account for developmental data as a potentially fruitful alternative to the better known stage theories, like that of Piaget. They argued that learning mathematics is an ideal activity
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 Publishing or Programming? A Framework for the Development and Presentation of Work by Children on the World Wide Web  Judy Keiner
A paper to be presented at SIGGRAPH97, Los Angeles, August 8th 1997, involving process writing approaches, and including three criteria for evaluating Web pages. Also links to example sites.
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 Pure Numbers Daily Blog
New equations every day, made of the individual numerals in the date. Daily entries in this blog, launched on 11 October, 2012 (10/11/12), preserve the order of the individual digits using arithmetic, geometry, trigonometry, combinations and permutations,
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 Purplemath  Your Algebra Resource  Elizabeth Stapel
Algebra modules provide lessons, practical tips, hints, worked examples, and point out common mistakes in basic triangle length (trigonometry) values, calculators (what model to buy), canceling units, domain and range, exponents, factoring quadratics,
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 Puzzlemaker  Discovery Education
A puzzle generation tool for teachers, students and parents. Create and print customized puzzles, including math squares and number blocks, online, or buy a CD with editing tools and other extras.
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 Puzzle Page  The Black Stump Ltd.
More than 150 links to puzzle sites on the Web. A new site is added each week.
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 Puzzler  Franklin Institute Online
Puzzles from the inQuiry Almanack Puzzle Archive: e.g. Cryptograms, January, 1998. Coded messages hide famous quotations. A clue is offered to begin breaking the code, and an answer key is provided. One puzzle a month from March of 1995 through July of
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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, & Riddles  The Contest Center  Frank Rubin
Hundreds of puzzles and mathematical problems ranging from kindergarten through postdoctoral levels. For the easier puzzles, answers are provided on the site; names of those who submit correct solutions to harder problems are posted. See also Puzzles
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 Puzzle Up  Binary Arts Corporation
A collection of others' Java puzzles, baffler and logic questions, "for serious puzzlers," best of the week, and mazes and mysteries, each organized into the three different skill levels of young, brisk, and expert. Also, information on the company's
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 PuzzleWise  Test Best International, Inc.
A supplemental program consisting of math crossword puzzles, each clue of which links directly to state and national gradelevel math skill expectations. The site offers samples, testimonials, prices, and a free newsletter.
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 Puzzle Workshop  maths online  University of Vienna, Austria
Make your own interactive "jigsaw," or multiple choice puzzles, to save and run on your own computer or to publish on the web. The Applet puzzle creation page requires Java; the Test puzzle creation page allows greater use of mathematical symbols.
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 Puzzling Primes  Isaac Reed
To fully comprehend our number system, mathematicians need to understand the properties of the prime numbers  but even finding them isn't so easy.
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 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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 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  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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 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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 Qdos Math  The Education Channel International, Ltd.
An interactive online program delivering elementary mathematics content. Written by teachers, the program includes assessment tests, interactive tuition/demonstration pages and followup exercises and activities. Qdos is available via the internet at
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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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 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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 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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 Questioning My Metacognition  Graham Fletcher
Blog by a K5 math coach "continually seeking to find what it is that develops an intellectual need in students and makes them want to learn." Posts, which date back to August, 2013, have included "To Run or Walk in the Rain," "Underestimating Estimation,"
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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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 Quick Facts  EndSight Software
Eflashcard software targeted at enabling students to master their addition, subtraction, multiplication and division facts. Covering all 469 of the most common facts in elementary math, QuickFacts randomly creates testing and training sessions from this
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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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 Quiximity  CleverMedia
Race against the clock to find threeofakind that match in color or shape, earning point bonuses for objects adjacent to one another. Requires the Flash plugin.
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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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 QuizTree Math Games  Sierra Vista Software
A collection of online math quizzes in addition, subtraction, multiplication, and division.
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 Quizzes.cc
Use the menus and text boxes to create your own quizzes on addition, subtraction, multiplication, and division  or browse from among a selection. Click the appropriate button to reveal answers, grade responses, or generate new problems.
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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 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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 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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