 Tessellations: An Application Of Simple Regular Polygons (SMILE)  Mary Racky, Kenwood School
A lesson designed to develop basic skills making and identifying homogeneous
tessellations, both regular and semiregular. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 Tessellations  Robert Fathauer
A company that makes Puzzellations, Colorful Connectables, and Perpetual Patterns puzzles, plus a variety of other products inspired in part by the Dutch graphic artist M.C. Escher, but also by mathematicians such as Roger Penrose and Benoit Mandelbrot.
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 Tetrakys
Interlooping equilateral, isosceles, and scalene triangles for building two and threedimensional geometric objects, exploring area and volume, and visualizing fractions and arithmetic operations. The foam composition of these colorful manipulatives
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 Thinking Fountain Shape Cluster  Science Museum of Minnesota
Activities, images, and experiments relating science, math, and language arts. The shapes and math cluster features shape walk, I C shapes (finding circles, squares, and triangles in everyday objects), soap bubble geometry, pyramids and cubes (building
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 Tiggly  Kidtellect Inc.
"Feel what you learn." Apps to develop toddlers' and preschoolers' spatial reasoning, motor skills, language, and creativity have included Tiggly Christmas, Tiggle Addventure, Tiggly Safari, Tiggle Cardtoons, and Tiggly Counts, which features five lightweight
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 Time (SMILE)  Gracie Davenport, Spalding School
A lesson designed to teach physically Handicapped (EMH) students to tell time using a number chart; to demonstrate their ability to tell time by using a clock; and to use this skill to follow a daily schedule. From the Practical and Applied Math section
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 Times Table Triangle  Brenda Batten, White Birch Educational Tools
An interactive, visual math manipulative that helps students memorize multiplication tables. The student inserts a pencil through the hole that corresponds with a multiplier, then turns the Triangle over to find the answer.
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 Title III MSS Final Performance Report  Dana Lee Ling
Dana Lee Ling is a mathematics and science software specialist at the College of MicronesiaFSM. Articles document the College's attempts to increase the success of prealgebra and algebra students through "conceptual" and technologybased approaches.
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 To Classify Beans And Peas (SMILE)  Gwendolyn Williams, Adam Clayton Powell School
A lesson designed to teach students to identify five different kinds of beans and three different kinds of peas, to record information on a bar graph, and to
interpret the information given. From the Patterns and Logic section of a collection of almost
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 Tomoko Fuse Origami Quilts  Jeff Kerwood
These origami quilts were designed and made by Jeff Kerwood, using the modules developed by Tomoko Fuse, a Japanese origami artist universally acknowledged as the master of modular or unit origami. In modular origami, the model is built up from multiple
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 Tony's Tiger BITES (SMILE)  Maudestine McLeary, John Hope School
A lesson designed to teach students to make equivalent fractions, follow
directions and complete a recipe for marshmallowcereal bars. From the "Miscellaneous" section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Toothpick Puzzle: a Math Line Puzzle  Math Forum
Starting with the configuration shown, move exactly two toothpicks to form four 1x1 squares. You must use all the toothpicks, without any overlap. The final product will consist of exactly four squares, all the same size as the five in the original configuration.
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 Touch3D
A commercial Macintosh program for 3Dmodeling, concept design, industrial design, quick prototyping, mockups, packaging, scale models, physical renderings, production preparation, and unfolding/unwrapping. Touch3D is a complete 3D modeling/unfolding
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 TouchMath: Multisensory Math Supplements  Innovative Learning Concepts, Inc.
The TouchMath Method is a multisensory approach to teaching basic number concepts, addition, subtraction, multiplication and division. TouchMath integrates digits 1 through 9 with a corresponding number of "touchpoints." Students physically touch each
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 Tower of Hanoi (SMILE)  Paul Eubanks, Washington High School
A lesson for grades 612 designed to teach students to discover a pattern and to evaluate an exponential expression. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for
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 Traffic Jam Activity  Suzanne Alejandre
A classroom activity (also called Hop, Skip, Jump) aligned to the NCTM and California Standards, to be explored through large movement experience, manipulatives, and an interactive Java applet. Students then revisit the activity, look for patterns, and
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 Travel Triangles (SMILE)  Sarah Barrett, Mars Hill School
A middle and high school geometry lesson designed to teach students to review and demonstrate an understanding of the three kinds of angles (by degrees). From the Geometry and Measurement section of a collection of almost 200 single concept lessons by
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 Triangulation (SMILE)  Ann M. W. Brandon, Oak Forest High School
A lesson designed to teach students the basics of how to perform and calculate
triangulation. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Trigonometric Functions (SMILE)  Lesia Smith, Michael M. Byrne School
A lesson designed to teach students to define and demonstrate the six trigonometric functions; and to facilitate using the three most frequently used trigonometric functions. From the Algebra and Trigonometry section of a collection of almost 200 single
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 Truncated Octahedron Blocks  Hop David
A discussion of a threedimensional tessellation that may make a good bridge between the rectangular solid tessellation and the octa/tetrahedral tessellation.
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 Tumblehome Learning
Makers of educational products such as Lost in Tangrams and  through a partnership with TERC, with funding from the National Science Foundation (NSF)  Mixing in Math (MiM) cards, gameboards, and books.
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 The Tutor House: math  Adrianne Meldrum
Tutoring elementary and middle school students, Meldrum would often "hunt the Internet for tips and helps on teaching concepts to my students. I find great stuff, but I wanted somewhere central that other tutors like me could find them...." Every Wednesday
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 Uncorking Work Problems (SMILE)  David Drymiller, Marie Sklodowska Curie Metro High School
A lesson designed to teach students to solve problems about work using the formula work = rate x time; to solve equations containing rational expressions; and to strengthen basic skills learned in algebra. From the Practical and Applied Math section of
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 Uncovering Mathematics with Manipulatives and Calculators  Texas Instruments, Inc.
A text that provides K6 activities emphasizing problem solving, reasoning, communications, and connections, clustered into four content strands: number sense; patterns, relations, and functions; measurement and geometry; and probability and statistics.
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 Understanding Fractions (SMILE)  Florida Bradley, Hartigan School
A lesson designed to teach students to recognize and understand equal fractions in relation to a whole unit. 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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 Undusting Napier's Bones  Alexandros Diploudis; HeriotWatt University, UK
Biographical information about the Scottish mathematician John Napier, generally considered the inventor of logarithms, with a Java simulation of Napier's bones, a method for performing arithmetic operations by the manipulation of rods (called "bones"
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 UniformMotion Problems: Just Playing With Cars (SMILE)  David Drymiller, Morgan Park High School
A lesson that uses batteryoperated cars to teach students to solve uniform motion word problems using rate X time = distance; and gives them practice in measuring in the metric and English systems. From the Practical and Applied Math section of a collection
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 Use A Chair To Teach Math (SMILE)  Laura B. Reed, Rosa L. Parks School
A lesson designed to teach students some basic operations of math through measuring a chair. Sample questions: What size box would it take to mail the chair? Could two chairs fit in the same box? How many chairs could fit in this room? What area of space
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 Using A RoundOMeter To Estimate (SMILE)  Kathleen M.K. Pidrak, Edward H. White School
A lesson designed to teach rounding of numbers to the nearest dollar or nearest dime. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Using Manipulatives  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: What role can manipulatives play in the classroom?
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 Using Symmetry to Create A Community Quilt (SMILE)  Beverly Brown, Hedges West
A lesson for grades 412 designed to teach students about line and reflectional symmetry through cooperative work on a quilt with four lines of symmetry. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science
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 Using the Balance (SMILE)  Marie Davis, Marconi Community Academy
A lesson designed to teach students to use an equal arm balance to determine the mass of an object by comparing it with the mass of objects whose mass in grams
is known; and to use graph paper to construct a bar graph. From the Algebra and Trigonometry
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 Using Variables And Ratios To Get You In The Right Gear (SMILE)  George K. Smith, Dunbar Vocational High School
A lesson designed to teach students to apply the concepts of variable and ratio in everyday situations; determine the gear ratios and gears for a 12speed bicycle; and write a computer program that will determine gears using the bubble sort technique.
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 Using Virtual Manipulatives on the Web to Develop Number Sense  Margo Lynn Mankus
Java applets, activities, handmade manipulatives, and links related to the topic.
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 Ventura Educational Systems
An online store offering product information on GraphPower, Geometry Toolkit, Probability Toolkit, Balancing Act, HandsOn Math Vols. 1, 2, and 3, Puzzle Logic, Algebra Concepts, Geometry Concepts, Coordinate Geometry, and more. The site provides links
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 Virtual Polyhedra  George W. Hart
A growing collection of over 1000 virtual reality polyhedra to explore, complementing Hart's Pavilion of Polyhedreality. Includes instructions for building paper models of polyhedra including modular origami, with ideas for classroom use. Each of the
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 Vision Props of Signed Numbers (SMILE)  Mable McMiller, South Shore High School
A lesson designed to teach students about the number line and signed numbers by working with acid and alkaline solutions. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 Visual Structure of Postulates and Axioms in Algebraic Operations
(SMILE)  Sanford Olshan, Roosevelt High School
A lesson designed to reinforce and retain the use of axioms and postulates in various proofs and linear transformations of equations; and to have student build a physical model of the game of "PRUFF" either as a card game or as a board game. From the
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 Volume and Surface Area (SMILE)  Charlotte Goldwater, Kenwood Academy
A lesson for grades K12 designed to teach students to understand the difference between surface area and volume. 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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 Welcome to WebDice! (MSTE)  Nicholas Exner; University of Illinois at UrbanaChampaign (UIUC)
A Java applet that simulates the rolling of a set of dice. Use the pulldown menus to set the parameters for the trial.
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 What's My Area? (SMILE)  Karen L. Mickel, William Carter Elementary School
An elementary lesson designed to teach students to cover an area with uniform tiles and count the number of tiles needed; recognize rectangles, triangles and squares; and review basic colors. From the Geometry and Measurement section of a collection of
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 Whole Language Approach in Solving Word Problems (SMILE)  Barbara Thomas, Langston Hughes School
A lesson that uses the story of the Three Little Pigs to teach students to formulate addition and subtraction problems of whole numbers; relate everyday language to mathematics meaningfully; use problemsolving approaches to investigate and understand
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 Working with Cuisenaire Rods In Mathematics (SMILE)  Willis Grace, O. A. Thorp Academy
A lesson for grade 4 designed to teach students about common denominators by teaching the numerical value of each underlined letter of the standard Rod Code; and to develop systematic usage for building new units. From the Arithmetic section of a collection
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 Working with Fractions Using Pattern Blocks  Margo Lynn Mankus
The objective of What's My Number? is to name the size of an object given the size of 1 unit. Materials include pattern blocks cutouts, a pattern block grid, a pattern block Java applet, and links to other pattern block activities elsewhere on the web.
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 The XY Chart  Speier Associates
A multiplication table that incorporates the Cartesian coordinates, and aspects of Piet Mondrian's designs for an aesthetically pleasing appearance, to teach elementary school students concepts of multiplication, Cartesian coordinates, arithmetic sequences,
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 YMath Mathematical Models  Jan de Koning
Models and building boxes for education include magnetically connectable "mathmaker" and "polylinks," and tetrahedron puzzles. Other polyhedral furniture and housewares include cube moneyboxes of plywood, copper, and brass; dodecahedron bottle openers;
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 Young Engineers  The Decade Group
Enrichment courses for children and teenagers using LEGO and K'nex. Sessions such as Big Builders, LEGO Challenge, and GaliLEGO teach basic and complex mathematics, introduce famous scientists, and demonstrate powers and principles of physics. Based in
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 Zome Geometry: Handson Learning with Zome Models  George W. Hart
An upcoming book full of things you can make with the Zome System geometry construction set  a handson guide to the geometry of threedimensional space. Contents include: Angles, Polygons, Polyhedra; Icosahedron and Dodecahedron; Platonic Solids; Counting;
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 Zome System  Zometool, Inc.
Available in kits of various sizes, Zometool is a 31zone design tool and educational toy for kids, hobbyists, students, teachers and researchers. Precisionmolded in ABS plastic, Zometool models spatial structures representing hyperspaces of up to 31
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 Zome: Truncated 120cell  PCMI @ Math Forum: SSTP 2007
One of the activities at the 2007 Secondary School Teachers Program in the Park City Mathematics Institute was the construction of a truncated 120cell using Zometool. View both an explanation of the mathematics and photos of the construction.
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