 Analyzing Numeric and Geometric Patterns of Paper Pool (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. The interactive paper pool game in this iMath investigation provides an opportunity for students to further develop their understanding of ratio, proportion and least common multiple. Students develop
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 Andrew M.H. Alexander
JavaScript by Alexander includes "the gear seer," which shows not just bike gear ratios but gear inches and meters development. Input wheel and tire size to see speed at a given cadence. This bicycle drivetrain visualizer further compares different drivetrains,
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 Angela Andrews  District 86
Files shared during a Common Core State Standards (CCSS) Mathematics workshop by Andrews, host of the DuPage Children's Museum's Aunty Math site: Comparing Ordering Sequencing and Rounding, Dangers of Touch Math, Emergent Learner Activities, Experiences
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 Animated Proof of the Pythagorean Theorem  Mark D. Meyerson; Mathematics Dept., U.S. Naval Academy
Starting with a right triangle and squares on each side, the middle size square is cut into congruent quadrilaterals (the cuts through the center and parallel to the sides of the biggest square). Then the quadrilaterals are hinged and rotated and shifted
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 Ann McCallum Books  Ann McCallum
Lessons and puzzles to extend the math fairytales and history/mystery math project books by McCallum, author of The Secret Life of Math, Rabbits, Rabbits Everywhere: A Fibonacci Sequence, and Eat Your Math Homework: Recipes for Hungry Minds. McCallum's
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 AP Central  The College Board's Online Home for AP Professionals  The College Board
A free site for all those involved in or interested in the AP Program, including new and experienced teachers, coordinators, counselors, college faculty, and school and college administrators, offering a growing set of resources  course descriptions,
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 AP Computer Science  College Board Online
General information about exams and courses (A and AB), links to archives of freeresponse questions in C++, the AP CS mailing list, development committee access, related websites, and an online store for College Board books. Maintained by the College
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 Appetizers and Lessons for Math and Reason  Alan Selby
Logic Appetizers to test or or improve reading, writing and thinking skills, with definitions, concepts and proofs in many subjects (Chains of Reason; One or TwoWay Implications; Islands & Divisions of Knowledge; Deception); Advice (How to Study
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 Aquí Matemàtiques (Catalán)  Carlos Romero
Web and interactive materials in Catalán designed to facilitate and improve teacher training in mathematics. Goals: to provide curricular incentives for integrating technology into primary and secondary level teaching; facilitate access to curricula;
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 Arbelos Internet Math Society  Bert Liberi and William F. Widulski, Westchester Communtiy College
A mathematics society dedicated to the pursuit of elegance in problemsolving. Every month, solve challenging problems that require "more imagination than memorization." Also, access old problems and solutions; and study a list of heuristics of problemsolving,
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 Archimedes  Chris Rorres, Drexel University
A collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site covers Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes
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 Archimedes' Laboratory  Gianni A. Sarcone and Marie J. Waeber
Archimedes' Laboratory invents, creates, and develops handson thinking games which help teach mathematical applications. They also create and manufacture original educational manipulatives and puzzles to support promotional activities. The resources
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 Area and Diameter  NASA Lewis Learning Technologies Project
Mrs. Bosley wants a big round piece of plastic to throw over her little boy's round sandbox to keep the sand clean. The sandbox has a diameter of 3 meters. Approximately how big will the round piece of plastic need to be? A detailed answer is provided.
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 Area and Perimeter (SMILE)  Monica Starks, John Fiske Elementary
A middle school lesson on measuring and calculating the area and perimeter of squares, rectangles, triangles, etc. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 Area Under Curves: The Integral  Don Cohen (The Mathman)
Area on the geoboard; Plotting points on a computer or programmable calculator to find the area under curves; Finding the area under curves on graph paper. Sample problems with some answers and a program to plot points  from Chapter 13 of Don Cohen's
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 Arithmesticks  Michael Varma, Magical Concepts
Simple equations made out of sticksmove one stick to make the equation correct. This site has example problems in each of the four basic operations, and sells kits of sticks and equations cards.
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 Arithmetic and Algebra  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
More than 110 games or puzzles having to do with arithmetic or algebra, with extensive discussions and solutions. Most require a browser capable of displaying JavaScript or Java.
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 Arithmetic and Algebra Review Problems  Alan Selby
Arithmetic and algebra review problems to help people check or diagnose arithmetic skills and other calculation or algebra skills. Includes a 20x20 times table.
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 Arithmetics WARM UPS  Cornick, Jonathan; Guy, G. Michael; Russell, Andrew S. H.; and Holt, Robert J.
This free, open, online supplement to the Arithmetics WARM UPS Textbook provides practice with place value, arithmetic, order of operations, word problems, and more. Rendered in MathJax, each "lab" in this "no calculator zone" instantly scores multiple
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 Arizona Mathematical Software
A collection of approximately 60 educational programs that are designed for use by instructors and students in classroom, laboratory, and home environments. Software falls into four categories: Are You Ready?; Slide Shows; Teacher Aids; Toolkits. It runs
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 The Arlington Algebra Project  Arlington Central School District
Exercises and homework, organized into twelve units, written by 25 Arlington math teachers from the LaGrangeville (NY) high school and middle schools.
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 Around the Dartboard  Ivars Peterson (MathLand)
The numbers on a standard dartboard have the following order, going clockwise starting at the top: 20, 1, 18, 4, 13, 6, 10, 15, 2, 17, 3, 19, 7, 16, 8, 11, 14, 9, 15, and 5. Why this particular order? A possible criterion for designing a dartboard is
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 The Art of Problem Solving  Richard Rusczyk
An online school and community, with a message board and widely used textbooks, e.g., The Art of Problem Solving by Sandor Lehoczky and Richard Rusczyk. See, in particular, the AoPS's Math Jams, guided improvisational problem solving sessions. Also, learn
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 Ask Mr. Calculus  Diamond Bar High School
Advanced Placement (AP) Calculus AB and BC free response questions with solutions, dating back to 1997.
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 Ask Mr. Calculus  Howard Alcosser
Answers to every Advanced Placement (AP) Calculus AB and BC exam since 1997.
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 Assignments and Mathematical Musings from Mr. Kirk  Benjamin Kirk
Blog by a math teacher at Ithaca (New York) High School and adjunct instructor at Tompkins Cortland Community College (Dryden, NY). Since February, 2010, Kirk has blogged "as my primary means of communicating with students and parents outside of class,"
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 Atlantis Puzzles & Games  Karl Scherer
Puzzles and games for sale; puzzle books (A Puzzling Journey To The Reptiles And Related Animals; NUTTS And Other Crackers; New Mosaics  A Book On Tilings); Fractal computer art; brain teasers (AMaze; Globetrotter). Also ALIVE, a WINDOWS version of
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 At Right Angles  Azim Premji University
Journal of math pedagogy and educational technology published since 2012. Issues come out in March, July, and November, with sections such as "In the classroom" (ITC) and Problem Corner, as well as topical features, book reviews, pullouts, and more.
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 Austrian Center for Didactics of Computer Algebra (ACDCA)
Download teaching examples, materials, and exams that use Computer Algebra Systems (CAS)  in particular, the TI92 calculator. With bugs, tips and cheats in handling the TI89, TI92, and Texas Instruments Voyage200. Also, get news about the Center
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 Authentic Inquiry Maths  Bruce Ferrington
Blog by an Australian teacher who advocates Tedious Repetitive Activities Involving Number (TRAIN) for the Genuine Application of Mathematical Experience (GAME). Posts, which date back to April, 2012, have included "Top 10 Maths Songs," "Maths and Making
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 Autograph (Mathematics)  Eastmond Publishing Ltd
Autograph is visualization software that operates in two modes: graphs, coordinates and bivariate data; and singlevariable statistics and probability. Resources include graphs, statistics, screencam demos, Microsoft Word worksheets, PowerPoint presentations,
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 Automaths: Online Maths Activities for Kids  Education by Design, UK
A Java applet with three different levels to practice for automatic response skills, suitable for children of all ages. Use the levels to customise: Junior challenges addition and subtraction skills; middle provides problems using addition, subtraction
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 Averaging Diving Scores  NASA Lewis Learning Technologies Project
Kim received the following scores in the state diving championships: 5.2, 5.6, 4.5, 5.0, and 5.2 What was her average (mean) score? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Averting Instant Insanity  Ivars Peterson (MathTrek)
Once called "The Great Tantalizer," the puzzle looks innocuous and sounds quite simple. It consists of a set of four cubes with one of four colors on each of their six faces. Your goal is to arrange the four cubes in a row so that all four colors appear
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 Balance Quest  Whit McMahan
Key in the positive and negative integers that balance the left and right halves of the bracket in this logic puzzle of addition, subtraction, and deduction.
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 Base Converter  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A fairly highlevel introduction to binary and other base systems, with a Java converter and links to related pages including: arithmetic operations in various bases, algorithmic conversion procedure, linguistic fun with base 36, Napier bones, abacus,
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 Basic Math Concepts and Fundamentals  R. H. Logan
A series of readings and practice problem activities designed to alleviate "math anxiety," for those planning to take a science course but uncertain about the math preparation. Includes lessons and practice problems. The topics covered are especially
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 Basic Mathematics  Jetser Carasco
Short, instructive articles that explain fractions, ratio and proportion, number theory, basic geometry, graphs, decimals, percents, and some algebra. This site, created by a math major who has taught high school math since 2008, also offers free math
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 Basic Math  SPEED Software, Inc.
Download PC shareware demos of arithmetic drill programs. With Math Flash Cards, customize your own deck of flash cards to practice adding, subtracting, multiplying, and dividing. With Fraction Flash Card, design your own deck of flash cards to practice
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 BasketMath Interactive  Robert Cummings, Science Academy Software
Science Academy Software's BasketMath online interactive application drill and practice site offers autoscoring questions in arithmetic, rounding and writing numbers, order of operations, factoring, adding or multiplying signed numbers, calculating perimeter
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 Battleship Puzzles  Erich's Puzzle Palace; Erich Friedman
There are five 3 x 1 ships hidden in each puzzle grid, each ship with a different number from 1 to 5. The numbers at the sides of the grid give the sum of the numbers on all the ships in that row or column. Ten puzzles, with answers provided.
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 The Beal Conjecture and Prize  R. Daniel Mauldin; Department of Mathematics, University of North Texas
An announcement of a prize for the solution to a problem pertaining to the Diophantine equation of the form A^x + B^y = C^z where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then A, B and C must have a common factor.
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 Beestar  Beestar Educations, Inc.
Beestar offers curriculumbased online programs for school kids. They include Math, English Language Arts (ELA), Science, and GT (Gifted & Talented) Math exercises. After the initial signup, every semester you can register your child to a weekly math
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 Beestar.org  Beestar Educations, Inc.
Providers of curriculumbased online programs for students, such as Beestar Progressive Exercise (BPE), a "systematic knowledge application and skillpractice program." See, in particular, the weekly math program; and dozens of freely downloadable sample
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 Benford's Law and Zipf's Law  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
With the eerie but uniform distribution of digits of randomly selected numbers, if the numbers under investigation are not entirely random but somehow socially or naturally related, the distribution of the first digit is not uniform. One may expect 1
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 The Best Two Points in a Square (Math Chat)  Frank Morgan, MAA Online
Solution to the challenge: Where do you think you should you place two points in a unit square to minimize the average distance in the square to the nearest of the two points? Computer calculations by Al Zimmermann yield configurations of 211 points
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 BestWebQuests.com/  Tom March
Tom March has designed and assessed WebQuests since 1995. He presents these top ten choices on the subject of mathematics: For the Love of the Game; Franchise; A Creative Encounter of the Numerical Kind; The Dilemma of the Dangerous Meat Loaf; The King
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 The Better File Cabinet  Eric Hsu
A database of nonroutine calculus problems used in college workshops for Uri Treisman's Emerging Scholars Programs. It was originally a highly searchable database of calculus problems, comments and solutions. It will eventually will be a database crossreferencing
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 Between Arithmetic and Algebra  Cut the Knot!, Alexander Bogomolny
What is the difference between the arithmetic 3+5 = 5+3 and the algebraic a+b = b+c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives expression
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 Between Arithmetic and Algebra  Cut the Knot!, Alexander Bogomolny
What is the difference between the arithmetic 3 + 5 = 5 + 3 and the algebraic a + b = b + c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives
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