 Jaap's Scratch Pad  Jaap Scherphuis
Java applets, generators, and solutions for sudoku, Rubik's Cube, "moving pieces" puzzles, permutation puzzles, and more, including sphere symmetries, polyform, Towers of Hanoi, and many lesser known puzzles from this collector. Scherphuis' articles range
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 Japanese Temari  Barb Seuss
Read about the history of this Asian needlework craft, find free patterns to stitch your own geometric designs on the sphere, browse online galleries of temari, and more.
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 Jim Plank's Origami Page (Modular)  Jim Plank
Instructions for making polyhedra, and pictures  "Penultimate Module": Compound of 5 tetrahedrons; Compound of 5 octrahedrons; Compound of three rectangular prisms. Stella Octangula. Lesser Stellated Dodecahedron. Snub Cube, Dual of the Snub Cube. Icosidodecahedron
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 Join the Dots: a Math Line Puzzle  Math Forum
Can you connect 9 dots laid out 3x3 using 4 straight lines, without lifting your pencil from the paper? Questions, hints, solution.
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 JovoToys  JOVO Click 'N Construct Math Manipulatives  Alexander's Polyhedra, Alex Doskey
JovoToys are polygon shaped pieces  equilateral triangles, squares and
regular pentagons  that click together on their edges, allowing them to
fold up to make three dimensional shapes. The JovoToys website shows
many different applications of
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 Jude eClock : Mr. Myers' Classroom  Nathan Myers
Virtual manipulative for teaching various concepts in telling time. Features include the ability to change the clock's face (two different primary faces, Roman numerals, 12369, & graduated markings only), display of time in digital format, display
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 JumpingJoey  Psysoed Dynamics LLC
Learn the number line by jumping or walking a 30foot long, durable canvas number line. Also available as a placemat with dice and a board game.
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 Junior High and High School: Lesson Plans (The Lesson Plans Page)  Kyle Yamnitz, Univ. of Missouri
A searchable archive of lesson plans for statistics, numeracy and problemsolving, estimation, probability, and more. Includes suggestions for games, manipulatives, and spreadsheets.
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 Junk Food Math (SMILE)  Sharon Ross, DeWitt Clinton School
A lesson for grades 34 designed to teach students estimation and to introduce percentage. From the Graphs and Visuals section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 The Kaleidoscope Collector: How Kaleidoscopes Work  Hand of the Craftsman
Graphics from The Kaleidoscope Collector show the basis of and the dramatically different images produced by the three mirror, two mirror, twin mirror, and four mirror scope. Includes a brief kaleidoscope history.
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 Ka's Geometriepage & MatheGalerie: Grundschulmathematik  Monika Schwarze
Eine Seite zur Grundschulmathematik mit SoftwareTipps. Links zu Mathematikunterrichtseinheiten für Grundschulkinder der Klassen 1 bis Klasse 4; Freiarbeitsmaterialien und kleinen Unterrichtsprojekten. A German Web site for teachers and lovers of geometry,
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 Key Curriculum Press
Publisher of innovative texts and software applications for teaching mathematics including the Geometer's Sketchpad (dynamic geometry), Fathom (dynamic statistics), TinkerPlots (dynamic data exploration and analysis), Michael Serra's textbook Discovering
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 Kids Corner  Hope Paul Productions
Games to play online, and a demo to download: Solid Geometry (make your own 3dimensional shapes), and a store where you can order math toys and games.
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 K'NEX Education Division  K'NEX Industries, Inc.
Manipulatives consisting of rodandconnector construction toys. K'NEX Education offers Sets of packets (samples downloadable in PDF format) suggesting uses for math and science in the classroom through building models. Classroom K'NEXions provides lesson
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 Knots (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A mathematical knot is a knotted loop (a knot that can be unknotted is called an unknot). Two knots are considered equivalent if it is possible to rearrange one to the form of the other, without cutting the loop and without allowing it to pass through
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 Learn Fractions with Cuisenaire Rods  Molly Silha
Pages that teach fractions using manipulatives: Cuisenaire Rods, a collection of rectangular rods, each of a different color and size, the smallest 1 centimeter long and the longest 10 centimeters long, help students visualize problems, making them easier
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 Learning about Algebra tiles: Activities for teachers  David A. Reid
Algebra tiles provide a useful way to introduce operations on polynomials to students of all ages. Reid's paper can be used both as a selfguided tour of teaching with algebra tiles, and as a set of activities for use with students. Examples of instructions
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 The Learning Box: K5 Math Software
Developer of elementary mathematics software for students in grades K5. Featured titles include The Manipulative Math Series: Logic Blocks, Base Ten Blocks, and the Peg Board (learning about sets). Shockwave Flash activities include Flowering Fractions
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 Learning by Logic: Total Surface Area (SMILE)  Carolyne Boyd, Bennett Elementary School
A lesson designed to teach students to calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle; develop the formula for calculating (and calculate) the total surface area of a cube and a rectangular prism;
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 Learning ratios and proportions through scale drawings (SMILE)  Erwin Laskey, Eugene Field School
A lesson designed to teach students that a ratio is a comparison between two numbers; that a proportion is an equivalent relation between two ratios; and that scale drawings are ratios; so that they will be able to make a scale drawing of
the classroom.
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 Leone Learning Systems  TJ Leone, Leone Learning Systems, Inc.
Online courses for kids anywhere, and local teaching and tutoring services for students in Chicago and the Northern Suburbs of Chicagoland. LLS provides a free geometry software package for children age six and up, and free resources for teachers and
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 Lesson for Multiplying and Dividing Fractions with Post It Notes (SMILE)  Robert Foote, Disney Magnet School
A 7th grade lesson designed to teach students to measure various dimensions of rectangles to the nearest fraction of an inch, dividing fractions to predict the number of Postits needed to meet the length and width of the rectangles. From the Arithmetic
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 Linear Equations (SMILE)  Beatrix U. Ennis, Senn Academy High School
A lesson designed to teach students to emulate the steps in solving linear equations by means of a manipulative; and to transfer the operations performed on the manipulatives to equation form. From the Algebra and Trigonometry section of a collection
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 Line Designs for the Computer  Jill Britton
Line designs are created by connecting points on lines or curves with straight line segments. When carried out on cardboard with sewing needle and thread, the process is referred to as Curve Stitching or String Art. If the family of straight line segments
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 LiveCube.com  Min Shih
A puzzlebuilding system: small colored cubes may be joined to create larger assemblies. Site includes puzzle models, discussion areas for puzzle designers and educators, and a catalog of puzzle components for purchase. Requires several plugins; files
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 Locating IIT Using Ordered Pairs (SMILE)  Diane Yvette Branch, Harold Washington Elementary School
A lesson designed to teach students to plot and locate ordered pairs in a coordinate plane; and to understand how to read and create a map. From the Graphs and Visuals section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Locating Points Using Cartesian Coordinates (SMILE)  Mercedes Rodriguez, Clemente Community Academy High School
A lesson designed to teach students to give the coordinates of a point; to plot a point given its coordinates; and to use the coordinate system in locating places on the map. From the Graphs and Visuals section of a collection of almost 200 single concept
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 Locating Rational Numbers On the Number Line (SMILE)  William Winebrenner, Dunbar Vocational School
A lesson designed to teach students about rational numbers using the number line; to write rational numbers as the ratio of two integers; to convert each rational number to a mixed number; and to divide any given length into n equal parts. From the Arithmetic
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 Locker Problem  Suzanne Alejandre
A classroom activity (also called 1000 Lockers) aligned to the NCTM and California Standards, to be explored through the use of manipulatives and a ClarisWorks spreadsheet. Students then look for patterns and write the answer algebraically. The problem:
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 Logical Art and the Art of Logic  Guenter AlbrechtBuehler
About pentominoes, the patterns they create, and what pentominoes have to do with Escher, Penrose, Logic, Impossible Objects, Mathematics, and Art. Download a DOS program, 'newpent.exe', that assembles (6x10) pentomino solutions manually or automatically
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 Logic and Reasoning (SMILE)  Pearline Scott, Greeley School
A lesson designed to teach students to use logic and reasoning strategies to classify blocks by their attributes; recognize one, two and three attribute differences; use Venn diagrams to form sets and show their intersection; and use the attribute blocks
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 The Logic Puzzle Museum
Play with more than fifty different handson brain twisters, mechanical and logic puzzles  and craft your own. Regular events at this Burlington, Wisconsin, museum include Valentine's Day (makeyourown historic rebus valentines), celebrations of the
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 Logic (SMILE)  M. Elaine Granger, Irvin C. Mollison
A lesson for grades 68 designed to use pattern puzzles to teach students to understand word problems by use of reasoning techniques; identify the validity or nonvalidity of the problems; discern which factors are needed for problem resolution; and use
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 Lower School LEGO Projects  The Blake School, Minneapolis/Hopkins/Wayzata, MN
LEGO Logo projects are integrated into the science and computer curriculum of the Blake School. Students in the second grade study levers, third graders study pulleys, fourth graders study gears, and fifth graders combine their previous studies into a
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 Ludo Novo  Guillermo Andres
Manipulatives designed to educate and stimulate children from ages 26 through the early stages of cognitive development that form the basis of logical thought and problem solving capabilities.
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 Magic of Perfect Shuffles  Ivars Peterson (MathTrek)
S. Brent Morris likes to say that he's the only person with a doctorate in card shuffling. A mathematician at the National Security Agency (the world's largest employer of mathematicians) in Fort Meade, MD, he is also a showman, specializing in card tricks.
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 Magnetic Colors: Fun Math Manipulative  Lynn Saunders, Fridge Artist, LLC
This page offers ideas for using magnetic color squares as a medium for teaching elementary math concepts. Magnetic Colors kits are available from this site; more information on other uses and purchasing are available here.
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 Magnetic Tetrahedron  Frost Low Energy Physics
A 6piece manipulative that helps introduce and develop the notions and math associated with the uncertainty principle, states, fieldfield interactions, anharmonic motion, structured duality, ordered water, and related nonclassical and nanotech topics.
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 Mag's 3x3 Rubik's Cube Solution  Tom Magliery
A small collection of operations for the 3x3 Rubik's Cube, which assumes that you already know how to get one entire face solved; this means not only having all of one color on one side, but also having those 8 pieces in the proper position with respect
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 Making Ice Cream (SMILE)  Vickie Townsend, Crown Fine Arts Community Academy
A lesson for grades 58 designed to teach students to change a recipe to arrive at the amount of each ingredient needed to serve a given number of people; explore, observe, examine, measure and mix the ingredients provided; and convert metric units to
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 Making Predictions (SMILE)  Lucille Chambers, Lyman Trumbull School
A lesson designed to teach students at any level to classify and make predictions as they learn about ecology and plant life. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Mango Math  Mary Curry
Gamebased math lessons and accompanying videos which make use of manipulatives such as dice, spinners, counters, play money, and laminated game boards with dry erase markers. Mango Math bundles its lessons and game materials by grade for sale in prepackaged
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 Manipulating Formulae...Using Recipes To Understand (SMILE)  Nancy Ressler, Oakton School
A lesson for any grade level, designed to teach students to increase or decrease recipe amount; fill in missing data for any given situation; understand the importance of formula applications to everyday life; and develop a tentative understanding of
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 Marcy Cook Math  Marcy Cook
Cook offers mathematics inservice workshops for elementary, middle, and junior high school teachers and administrators. She has written numerous books for classroom teachers, as well as sets of tiling and task cards for use in the classroom, and manipulatives
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 Marvelous M&M Survey (TEAMS)  Jeannie Toshima; TEAMS Distance Learning, Los Angeles County Office of Education
Predict the most popular color in your package of M&Ms; then build a picture graph of the actual number, and share your results. Students from across the United States took a package of M&M's, predicted the color they thought there would be the
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 Mass and Weight in the Metric System (SMILE)  Janet L. Powe, Harold Washington Elementary School
A lesson designed to teach students to choose the most reasonable metric unit of mass; work in a group to weigh objects in the metric system; and solve problems using milligrams, grams, and kilograms. From the Practical and Applied Math section of a collection
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 Match Sticks in the Summer  Ivars Peterson (MathLand)
One of the presenters at the Strens conference was mathematician Heiko Harborth of the Braunschweig Technical University in Germany. "Match sticks are [among] the cheapest and simplest objects for puzzles which can be both challenging and mathematical,"
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 Mathabacus.com: Learning Mathematics with the Abacus  MathAbacus.com & Kreatif Kembara Sdn Bhd.
Twobook program from Malaysia designed to teach mental arithmetic and numbers through the use of the abacus in classrooms.
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 Math Craft  Cory Poole, administrator
A community "dedicated to the exploration of mathematically inspired art and architecture through projects, community submissions, and inspirational posts." Share images, videos, and other resources on the corkboard; post questions to the forum. The blog
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 Math  Donna Young
Manipulatives, graph paper, and worksheets to print and reproduce for home or classroom use: coordinate grids, clocks for math, charts for math, triangular math facts cards, play money, math drill sheets, fraction manipulatives, unit multipliers, and
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