 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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 Classification (SMILE)  Delores B. Wilburn, Shakespeare School
A lesson designed to motivate students to understand classification, and to teach decisionmaking, how certain objects relate to the number system, and the meanings of some words used to express mathematical ideas. From the Patterns and Logic section
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 Classroom Projects  TEAMS Distance Learning, Los Angeles County Office of Education (LACOE)
A site for teachers looking for a content area project or contest for the classroom. Join a TEAMS project or browse a list of projects and contests sponsored by other organizations. Extensive list of upcoming, current, ongoing, and completed projects
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 Coin Flipping  Ken White
A page that allows you to gather data on virtual coinflipping experiments. Includes access to data on past coin flipping and an article about coin flipping.
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 Collecting Data and Graphing (SMILE)  John Ramsey, Jr., Teacher's Academy For Math and Science
A multilevel lesson designed to teach students to see the relation of a student's arm span to his or her height; compare data with classmates; construct a graph and plot data; work in pairs cooperatively; learn to use a meter stick; and count the number
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 Commutative, Associative And Distributive Properties (SMILE)  James E. Breashears, Robeson High School
A lesson designed to teach students to compute expressions like (56 + a) + 4 and (50 * 7) * 2; to identify the commutative and associative properties; and to rewrite expressions by using the distributive property. From the Algebra and Trigonometry section
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 Computing Before Computers  Brian Borchers, New Mexico Institute of Mining and Technology
Online introductions, with PostScript or PDF downloads, of Napier's Bones and of the GenailleLucas Rulers. Pictures of statistical computing devices such as the Pickett N525ES Statrule, the cumulative binomial probability computer, the General Dynamics
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 Conteúdos Digitais em Matemática para o Ensino Médio  Kaleff, Ana Maria; and Humberto José Bortolossi  Universidade Federal Fluminense
Educational Java applets and lesson plans in Portuguese. Topics include real functions, algebra, permutations, polygons, tangrams, conic sections, solids of revolution, and other two and threedimensional geometry, which includes the Englishlanguage
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 Converting Celsius To Fahrenheit (SMILE)  Amaechi Onyeali, Carter Elementary School
A lesson designed to teach students to solve multiplestep equations involving addition, multiplication, and division; convert a known temperature in celsius to an equal temperature in fahrenheit; and accurately read a thermometer in degrees celsius.
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 Counting And Graphing (SMILE)  Vernita Smith, Mahalia Jackson Elementary School
A lesson for grades 12 designed to introduce counting from 125 and graphing using the pie graph and the bar graph. From the Graphs and Visuals section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for
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 Counting and Place Value (SMILE)  Carole Gills, Edward Coles School
A lesson for grade 1 designed to give first grade students a concrete understanding of place value by providing concrete opportunities to practice counting, adding, and subtracting, using a phenomenological approach. From the Arithmetic section of a collection
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 Counting Cards  Chris Taylor
A teaching aid that uses simple graphic designs on cards to represent different place values and numbers, from 1 up to one million, for teaching addition, subtraction, multiplication, division, and place value concepts. The site offers a teachers guide,
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 Creative Java Puzzles  J. L. Read, Enchanted Mind
Games "good for exercising both sides of the brain." Knight's Tour: pass all the squares of the board with the knight, making only legal moves. Peg Solitaire: Remove all the pegs in the least amount of time, finishing with only one peg in the target hole.
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 CubeIt  Education Development Center, Inc. (EDC)
A math group activity: you will need fifty cubes per group. Gather sugar cubes, wooden cubes, units from Dienes blocks or Cusinaire rods, or any manipulative that has a cubical shape. Students will: estimate the dimensions of the largest cube that can
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 Cube Roll  Cary and Michael Huang
Use the arrow keys to steer a cube along a path of squares towards a final square. Each successive level poses new restrictions based on which faces of the block can or cannot roll onto the square path, making a game out spatial thinking of polyhedral
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 Cuisenaire Math  ETA/Cuisenaire
From the makers of Cuisenaire Rods: Connecting Cuisenaire Rods, Cuisenaire Roddles (board games and puzzles that emphasize spatial reasoning skills), Cuisenaire Rods for the Overhead, Magnetic Cuisenaire Rods, and other manipulatives. Publications include
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 Cuisenaire Rods and Math (SMILE)  Linda Easter, Dewitt Clinton Elementary School
A lesson designed to familiarize students with the history, development and philosophy of Cuisenaire Rods; to teach them to find the least common multiple of several given numbers using Cuisenaire rods; and to reinforce previously taught math skills by
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 Delta Blocks  Hop David
A way to model different 3D tessellations and a tool for studying geometry, crystallography, and polyhedra. Delta blocks were inspired by M. C. Escher's print "Flatworms," which he said demonstrates that one can build a house not only with the usual
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 Didax Educational Resources
Didax publishes and distributes books, manipulatives, and software for math, reading, science, and art. The site offers free demo software, product descriptions, information requests, technical support, and current national educational standards. Didax
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 DieCast Polyhedra Models  Pedagoguery Software
Sets of small diecast solid aluminum polyhedra, in various colors, available for online purchase.
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 DigiBlock  DigiBlock, LLC
Manipulatives for K4 classrooms. Students pack individual blocks into holders to create larger blocks of 10, 100, and 1,000, exploring place value and operations and learning the base 10 number system visually and physically.
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 Digital Manipulatives: New Toys to Think With  Resnick, Martin, Berg, Borovoy, Colella, Kramer, Silverman; MIT Media Laboratory
Manipulative materials such as Cuisenaire Rods and Pattern Blocks enable children to explore mathematical and scientific concepts such as number and shape through direct manipulation of physical objects. Resnick et al. have developed a new generation
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 Discovering New Units (SMILE)  Kay Jenkins, James Shields Elementary School
A lesson that uses Cuisenaire Rods to develop a systematic way of creating new units or finding a common denominator, using students' knowledge of adding and subtracting unlike denominators. From the "Miscellaneous" section of a collection of almost 200
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 Division For Third Graders (SMILE)  Savannah Walker, Mason School
A lesson for grade 3 that uses measurement to demonstrate 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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 Domebook  Tom Camilli
Cardboard and transparent plastic geodesic domes built by children. Students start by constructing paper models, then apply scale factors to construct domes of any size using cardboard or wooden dowels and plastic sheeting. See pictures of classroom projects;
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 Dominoes Activity  Suzanne Alejandre
A classroom activity (similar to Pentomino + 1 = Hexomino; a variation on polyominoes) aligned to the NCTM and California Standards, to be explored through manipulatives (paper dominoes). Students explore whether it is possible to cover a 6x5 grid with
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 Draining The Swimming Pool (SMILE)  William Byrne, Martin Luther King High School
A lesson that offers experiments that suggest a way to solve the general work problem: If A can do a job in X hours and B can do the same job in Y hours, how long will it take A and B working together to complete the job? From the Algebra and Trigonometry
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 Draining the Swimming Pool (SMILE)  William Byrne, Martin Luther King School
A lesson for grades 910 designed to teach students to determine the time needed to drain a quantity of water using tubes of different inside diameters; and to determine the time needed to drain a quantity of water using two tubes at the same time, contrasting
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 Dream Home Mathematics (SMILE)  Dennis W. Montgomery, Lyman Trumbull Academy
A lesson for grades 512, designed to teach students to use basic math to determine affordability of a home based on a given income; calculate decimal placement for currency, percentages and interest; estimate affordability based on income; investigate
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 Education by Design
Publishers of educational software, focusing on special needs software for Windows and Macintosh that can be accessed with keyboard, mouse, and especially with IntelliKeys, Touch Windows or with switches. Math titles include MathPad, an arithmetic tutorial
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 EducEasy Books  Gisela Hausmann
The "Hands on Mathematics" CDROM books offer teachers handson exercises using household items for teaching basic mathematics. Both CDROM books include worksheets which can be printed off the computer. Five FREE lesson plans available for visiting
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 Effective Use of Living Space (SMILE)  William L. Brown, Parkside Community Academy
A lesson designed to teach students to measure the area of a room and various objects in this room; place scale model furniture in a room and determine the area occupied; and calculate the percentage of space used. From the Practical and Applied Math
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 Elapsed Time (SMILE)  Bernice Joyce Henry, Edward H. White School
A lesson designed to teach students to calculate elapsed time, given beginning and ending time; and to state the time using A.M. and/or P.M. From the "Miscellaneous" section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Elementary School Math Club  UTOPIA, University of Texas at Austin
Five plans for group activities that may be used by teachers or parents: Math Mobile; Number Paths; "Guess the Number" Magic Trick; The Human Counting Machine; and A Math Mural. This University of Texas at Austin site also offers Lesson Plans & Activities
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 The Elverson Puzzle Co., Inc.
The creators of Jacob's Revenge, the classic wine bottle puzzle. Elverson Puzzle also makes a Tangram Puzzle, the eleven tiles of which form a 6 inch diameter circle; Farkle, a game played with extra large wooden dice or online, with the dice roller that
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 Epistemology and Learning Group  Massachusetts Institute of Technology (MIT)
Constructionism asserts that knowledge is not simply transmitted from teacher to student, but is actively constructed by the mind of the learner, and that learners are particularly likely to create new ideas when they are actively engaged in making external
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 Equalities And Inequalities (SMILE)  Perry Lemon, Shoop School
A lesson designed to involve students in discovery; to teach partitioning and equivalency; and to teach the order of fractions. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Equivalent Fractions (SMILE)  Flora Williams, O. A. Thorp School
A lesson designed to teach students to recognize fractions of equal value and that name the same amount (number). 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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 Equivalent Fractions (SMILE)  Gertrude Lockett, Emmanuel Christian School
A lesson for grade 4 designed to teach students to visualize and comprehend the relative values of fractions by making physical representations; use fractional parts of a "whole"; and recognize relative sizes and equivalent fractions. From the Arithmetic
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 Estimating and Counting Money (SMILE)  Omega L. MinorClark, R. Nathaniel Dett Elementary School
A lesson designed to review estimating and rounding to the nearest dollar; teach skills and practice in counting money; and give students experience in estimating sums and products. From the Practical and Applied Math section of a collection of almost
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 Estimation Contest (SMILE)  Sandra A. KingBryson, Saucedo Magnet School
A lesson that uses breakfast cereal to give students a concrete understanding of the subtle difference between a guess and an estimate. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and
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 Estimation (SMILE)  Iona Greenfield, Carnegie Elementary School
A K1 lesson designed to teach students to solve problems by guessing and checking; to identify length by using informal units to estimate; and to guess and write an addition and subtraction sentence for the number of peas in a pod. From the Geometry
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 Estimation (SMILE)  Theresa W. Akpan, Wells Community Academy
A lesson for grades 58 designed to teach students to estimate numbers of objects by sampling; and to contrast and compare sampling with guessing. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the
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 Evil Mad Science  Evil Mad Science LLC
Producers of doityourself (DIY) and opensource hardware designs in support of art, education, and accessibility. See, in particular, the d20 and d12 Handbags of Holding Kits (zippered bags in the shape of dodecahedra and icosahedra) and the kit for
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 Exclusive Educational Products  Exclusive Educational Products
Order math resources and manipulatives for the curriculum of Ontario, Canada, as listed by grade or by the strands of number sense, measurement, patterning and algebra, geometry, data management, and assessment. Virtual workshops include samples from
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 ExploreLearning.com  ExploreLearning
A library of virtual manipulatives called "Gizmos", primarily for grades 312, in math and science. Math topics include the major strands of instruction according to national standards, as well as developmental math, college algebra and collegelevel
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 Extending Our Knowledge of Place Value (SMILE)  Angie Morris, Burnham School
A lesson designed to reinforce the knowledge of place value for first and
second graders by using their auditory, visual, and/or kinesthetic learning styles and the numbers 1099 only. From the Arithmetic section of a collection of almost 200 single
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 Factors (SMILE)  Edwina R. Justice, Gunsaulus Scholastic Academy
A lesson for grades 57 designed to teach students to find and record groups formed by using pennies; define factor, product, prime, and composite; write related number sentences; find the factors of whole numbers; classify numbers as prime or composite;
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 Fascinating Flat Facts about Phi  Ron Knott
Phi and twodimensional geometry  constructing the golden section: phi, Phi; Phi and the root5 rectangle; the shape of a piece of paper; Phi and the pentagon triangles; Penrose tilings; a rectangle/triangle dissection problem; the Golden Spiral; trigonometry
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