 123math.ca  Math Made Easy
A program that supplies flash cards, number lines, learning lessons, audio material, emails, and telephone contacts with parents to help students master basic facts of addition, subtraction, multiplication, and division. Cost is $30 Canadian registration
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 3D Stars  Free Instructions  James E. Garner
Free instructions for making 3D paper stars, using basket weave technique.
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 Aard 3D Puzzles  AardAsNails Software
Rubik's cubelike puzzles to solve online. Virtually twist and spin a pyramid, cube, diacube, or diamond, selecting solid or transparent views. Purchase the full version for up to ten levels of difficulty and preset problems.
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 The ABACUS International Math Challenge  Tivadar Divéki, Grace Church School
The ABACUS International Math Challenge is open to students in three categories (grades 34/ages 910; 56/ages 1112; 78/ages 1314), with 8 problems posed each month. The challenge begins in September and ends in April. It originated with the ABACUS
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 The Abacus  Jim Loy
Illustrations of the modern Japanese abacus (Soroban) and the Chinese abacus, both showing the number 1998, how to add "one" to a number, and how to carry.
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 AbacusMaster  Shabeeb Mohammed
AbacusMaster sells a 17rod soroban abacus and interactive tutorial software that covers abacus addition, abacus subtraction, abacus multiplication, and abacus division with more than hundred animated examples.
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 The Abacus: The Art of Calculating with Beads  Luis Fernandes
A tutorial on using the abacus  a calculator whose earliest known use is circa 500 B.C. by the Chinese civilization. Addition, subtraction, division and multiplication can be performed on a standard abacus. Beginning in about 1600 A.D., use and evolution
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 About Rubik's Cube  Dan Knights
See the author's collection of Rubik's cubes, his solution and timing methods, thoughts on solving Rubik's Cube with your eyes closed, and suggestions for lubricating your cube and where to get them.
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 ACME Klein Bottles  Cliff Stoll
"Searching for a onesided surface? Need a zerovolume bottle? Want the ultimate in nonorientability? Get an ACME Klein bottle!" Available in several different models, including classical, Erlenmeyer flask, sliced, spiral, "weirdies," and special designs.
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 Activities for Learning (AL) Mathematics Program  Joan Cotter
The RightStart Mathematics program covers grades K4 with a transition program for converting to RightStart. Teacher's manuals include daily lessons and worksheet blackline masters. A comprehensive program for homeschoolers, grades K4, is based on the
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 Activity Resources  Activity Resources Inc.
Created by Mary Laycock for mathematics teachers, with the goal of providing a real understanding of mathematics through handson (manipulative) activities. Purchase books and manipulatives on arithmetic, base ten, red and blue blocks, Cuisenaire rods,
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 Adding Integers (SMILE)  John Charles Thomas, N. F. Simeon Vocational High School
A lesson designed to teach students to add and subtract integers, and define terms (additive inverse, identity element of addition, associative property of addition, addend, sum, magnitude). From the Arithmetic section of a collection of almost 200 single
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 Adding Mixed Numbers with Unlike Denominators (SMILE)  Camille Gales, Edward Coles Elementary School
A 7th grade lesson designed to provide students with practice in adding mixed fractions with unlike denominators. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Addition and Subtraction of Signed Numbers (SMILE)  David Drymiller, Morgan Park High School
A lesson designed to help students master the addition and subtraction of signed numbers, and learn to recognize linear equations of the form x + a = b and their solutions. From the Arithmetic section of a collection of almost 200 single concept lessons
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 The Aerobie^{®} Flying Ring  Alan Adler
A scientific paper by the inventor of the Aerobie® flying ring: "The most difficult aspect of the design task is that the disc must fly over a wide range of α (angle of attack).... A conventional Frisbee disc partially accomplishes this by employing
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 Alex Bateman's Origami Page
Models by Alex Bateman, Dino Andreozzi, Nick Robinson, and a duck by Edwin Corrie. Includes directions for folding some origami tessellations: square dance, honeycomb, linked circles. Spirals based on Voderberg's tilings, tessellations based on 6.3.6.3
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 Algebra, Abstract and Concrete  Frederick M. Goodman
An undergraduate textbook (Prentice Hall, 1998). The book is intended to be useful for a course in modern algebra for beginners or a slightly more advanced course, or an undergraduate course on geometric aspects of group theory or Galois theory. Interactive
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 Algebraic Addition (SMILE)  Alex Junievicz, Kelly High School
A lesson that uses play money and IOUs to reinforce concepts around negative numbers. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Algebraic Factoring  Suzanne Alejandre
A Math Forum Web Unit. Vocabulary, objectives, materials. Students use algebra tiles to explore algebraic factoring.
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 ALGEBRA  Mathematical abstraction from concrete experience  College of Early Learning
How a Montessori student learns algebra while interacting with manipulatives represented by expressions incorporating numerals and variables. Contents include: The proper interpretation of a numeral by answering three questions: How many objects? What
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 The Amazing Abacus  ThinkQuest 1996
An exploration of the abacus. Learn to use the abacus and what it is for, and to speak and write Chinese numerals and formulas.
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 Analog Gadgets  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Java simulations of analog gadgets. Includes an analog device simulation for drawing ellipses, a Peaucellier Linkage simulation, an angle trisection demonstration, a demonstration/essay on cycloids, and applets on geoboards (with a proof of Pick's Theorem)
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 Apples A Peel To Me (SMILE)  Olga Moreno, Horace Greeley School
A K1 lesson designed to teach students to understand real and representational graphs; to recognize some different varieties of apples; and how to gather, record and interpret data. From the Graphs and Visuals section of a collection of almost 200 single
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 Archimedes' Square (Stomachion)  Kadon Enterprises, Inc.
Square puzzle dissected into 14 tiles, described in Archimedes' palimpsest. Oldest documented puzzle in history, from ca. 250 B.C. Now known to have 536 distinct solutions.
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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, Arithmetic and Algebra (SMILE)  Larry Freeman, Kenwood Academy
A lesson designed to show teachers how area of rectangles and squares can motivate the learning of multiplication rules for certain binomials; how students can perform arithmetic based on these identities; and several applications of the "distributive
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 The Area of a Circle (SMILE)  Edwina R. Justice, Gunsaulus Academy
A grade 8 lesson designed to teach the relation between circumference and diameter and how that relation, called pi, is used in the formula for the area of a circle. From the Geometry and Measurement section of a collection of almost 200 single concept
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 The Area of a Circle (Version 2.0) (SMILE)  Edwina R. Justice, Gunsaulus Academy
A grade 8 lesson designed to review areas of plane figures; determine the relation between the circumference and diameter of a circle; show the geometric representation of the area of a circle as the shape of a parallelogram; and use the formula for computing
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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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 Arts & Crafts Class: Let's Fold Origami  Japan Window Project, Stanford University and NTT
Directions for folding an origami crane and a yakko (in the Edo Period, a Yakko was known as a male servant or a valet to a highclass samurai. The figure shown is a representation from the waist up. The diamond shape is the head and it is possible to
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 Averaging (SMILE)  Sharon Thomas, Emmanuel Christian School
A 6th grade lesson designed to teach students to identify a range; recognize the score that occurs most frequently in a distribution; locate the middle point in a distribution; and find the average of a given set of numbers. From the Probability and Statistics
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 Base Ten Block Activities  Margo Lynn Mankus
Manipulate a Base 10 Block Applet developed by Jacobo Bulaevsky to explore whole decimal numbers with blocks. There are printable examples of pattern blocks, graph paper, rods, and color tiles, and activities designed to make connections between the use
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 Basic Mathematical Operations Using Mathtiles (SMILE)  Claudia R. Jones, Farragut Career Academy
A lesson that uses manipulatives to teach students addition, subtraction, multiplication, and division. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 BEAM: Be A Mathematician
A mathematics curriculum development project for nursery, primary, special and lower secondary teachers. It publishes resource materials for teachers' use in the classroom, offers training courses for teachers, and provides consultancy in the area of
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 Beyond the Ellipse  Ivars Peterson (MathLand)
There's a simple trick one can use to draw an ellipse. Tie the ends of a length of string to two pins (or thumbtacks) stuck in a sheet of paper on a drawing board. Then, keeping the string taut with the point of a pencil, allow the pencil to trace a path
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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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 Boomerang (SMILE)  Wilhelm L. Lilly, Kenwood Academy High School
A lesson for grades 412 designed to teach students to estimate angles in degrees and distances in feet or meters; collect data and analyze a histogram; and (optionally) study gyroscopic precession and aerodynamics. From the Recreational and Creative
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 Boxes and Bags  Aunt Annie's Crafts
Five projects that are fun to make and teach some basics of geometry: Snowflakes, Geometric Solids, and More Geometric Solids work well in gift wrapping; Flexagons and Tangrams make nice gifts. All of the projects can also be incorporated into lesson
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 Bricks Activity  Suzanne Alejandre
A classroom activity (also called the Masonry Problem; a variation on polyominoes) aligned to the NCTM and California Standards, to be explored through manipulatives (dominoes). Students explore different possibilities of making brick walls with and without
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 BrighterDiscovery.com  KW Studios, Inc.
Products for children to "reach their full potential while having fun doing it." Browse by age (from 012 months to 8+ years) or product type, including Activity Toys, Alphabet & Numbers, Blocks & Building Sets, Games, Puzzles & Logic, and
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 Budgeting Money (SMILE)  Yolanda Smith, Douglass Math and Science Academy
A lesson for grades 68 designed to teach students how to budget a monthly income; basic math techniques integrated with reading and social studies skills; how to search for employment in the want ad section of a newspaper; and the difference between
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 Building Models of Surfaces  Joan Hoffman, Swarthmore College
Physical models to be used as aids in understanding 3dimensional surfaces  some howto pages for building surfaces that appear in multivariable calculus, by Swarthmore College student Joan Hoffmann.
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 The Burr Puzzles Site  IBM
A Burr Puzzle consists of at least three rods intersecting each other at right angles. The most wellknown type is the six piece burr where three sets of two rods intersect each other. This site lets you explore six piece burrs by selecting from a list
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 CalmPlex: 3D Geometric Wooden Puzzles  R&A Media Inc. and Andy Snowie
A manufacturer of wood puzzles based on simple geometric shapes. Learn about the CalmPlex wooden puzzle, a twelve piece, mechanical puttogether manipulative that makes an 8x8 checkerboard, a 4x4x4 cube and over 50 other tessellated shapes: details, solution
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 The Center for Innovation in Education
Cofounded in 1975 by two classroom teachers, Mary and Bob BarattaLorton, the Center for Innovation in Education provides mathematics inservice and training. Workshops offered include Math a Way of Thinking and Math Their Way, a summary newsletter and
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 ChisenBop (or Chisanbop)  Andrew Harris, Computer Science, Indiana & Purdue Universities
An ancient technique from Korea, similar to the abacus or soroban: using your fingers as an analog computer, illustrated and with Real streaming media lessons. Background; simple counting; simple adding and subtracting; adding "around the corner"; subtraction
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 Circle Scribe Disk Compass  Bill Harper
A new instrument for manually exploring shape and space, used to draw diagrams on paper, from cartoon characters to limacons, as well as standard geometric constructions. Unlike toys like spirograph, the Circle Scribe Disk Compass requires some geometrical
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 Circles  Diameter, Circumference, Radius and the Discovery of Pi (SMILE)  Kathleen Ryan, Randolph Magnet School
A 7th grade lesson designed to help students identify and measure the diameter, circumference, and radius of a circle. The students discover the approximate value of pi through the relation between the diameter and circumference. From the Geometry and
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 Circular Reasoning  TJ Leone, Leone Learning Systems, Inc.
A free, Javabased software tool for thinking about circles, sectors, segments, and angles. Based on Montessori principles of learning through the manipulation of objects. Activity cards included. For Windows computers only. Includes ideas and stories
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 Circumferences, Diameters, and Radii (SMILE)  Dwayne Belle, Fuller School
A lesson designed to teach students to measure circumferences in inches, and compute radii and diameters, given different circumferences. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and
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