 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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 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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 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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 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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 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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 The Big List of Puzzle and Riddle Pages  MindBreakers Associates Inc.
An annotated list of links to sites with collections of math and word puzzles; also the best puzzles (the files), ranked for coolness and difficulty, with solutions and discussion: Gold for free; Just draw a line...; Turn on a lightbulb; the Wizard and
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 Bill Cutler Puzzles  Bill Cutler Puzzles, Inc.
Wooden puzzles for sale: six piece burr puzzles, rectilinear burr puzzles, nonrectilinear burr puzzles, boxfilling puzzles, and miscellaneous puzzles. The computer program BCPBOX solves boxpacking problems such as pentominoes; GENDA determines how
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 Binomial Coefficients  Jay's Corner
A binomial is an algebraic expression with two terms, like x + y. When we multiply out the powers of a binomial we can call the result a binomial expansion. Multiplying out an expression is just a matter of using the distributive laws of arithmetic, a(b+c)
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 The Binomial Expansion and Infinite Series  Don Cohen (The Mathman)
Pascal's triangle of numbers, although named after Pascal, was known much before his time. If there is one piece of mathematics that exhibits many patterns, this is it. There are triangular numbers and tetrahedral numbers, and even the Fibonacci numbers
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 The Birthday Problem  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
What if somebody offered to bet that at least two people in your math class had the same birthday? Would you take the bet? How large must a class be to make the probability of finding two people with the same birthday at least 50%?
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 The Boise Problem Book  Marion Scheepers; Dept. of Mathematics, Boise State University, Boise, ID
Combinatorial games and set theory. Chapters include: Covering games and Memory; Peculiar sets of real numbers and games; Gdelta properties and games; The precipitous ideal game; Cardinal numbers related to the real line; Embedding problems; Gaps; The
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 Bookfill Publications  C. J. Davis
Algebra and geometry workbooks formatted to facilitate writing all answers directly onto the book. These books, for Year 10 and Year 11 students who require GCSE maths revision, cover general Foundation and Higher level topics.
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 Bowland Maths  Bowland Charitable Trust
Case study problems and lessons designed to develop thinking, reasoning and problem solving skills in UK math pupils ages 1114. In particular, download series of standalone assessment items that challenge students to estimate the number of descendants
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 Boy or Girl?  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
In a twochild family, one child is a boy. What is the probability that the other child is a girl? What if the older child is a boy?
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 The Brachistochrone  Paul Kunkel
An investigation of the problem: We are given two fixed points in a vertical plane. A particle starts from rest at one of the points and travels to the other under its own weight. Find the path that the particle must follow in order to reach its destination
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 BrainBashers  Kevin N. Stone
A collection of logic, language and math puzzles, in a choice of easy/medium/hard. Rate the puzzles; show their answers. Logic puzzles include Einstein's Puzzle. Play games of strategy, such as "Four in a Row" (also known as "Connect Four") or games based
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