 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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 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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 Building Blocks  Doug Clements and Julie Sarama, University at Buffalo, State University of New York
Supplementary and enrichment math materials for young children. Project writings include "Mathematics in the Preschool"; "'Concrete' Manipulatives, Concrete Ideas"; "Mathematics for Young Children"; "Technology and School Change: New Lamps for Old?";
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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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 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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 Ed Dickey's Home Page  Ed Dickey
Syllabi for courses on teaching in middle/high school (mathematics), teaching mathematics with manipulatives (grades 712), graphics calculators in high school mathematics, computers in mathematics education, technology to support instruction, technology
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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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 Fermi Questions  Sheila Talamo
Fermi questions emphasize estimation, numerical reasoning, communicating in mathematics, and questioning skills. Students often believe that "word problems" have one exact answer and that the answer is derived in a unique manner. Fermi questions encourage
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 Geoboards in the Classroom  Tom Scavo
A Web unit for teachers from Tom Scavo that offers suggestions for using geoboards to explore the length and area of twodimensional geometric figures. The Introduction includes pages that describe materials needed, offer discussion and activities for
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 Harry Bohan's Web Site
Site contains personal info (education, jobs, list of publications), hyperstudio stacks of K8 math programs (some available for download here, all available by sending the required number of HD disks to Harry Bohan), an extensive page on teaching multiplication,
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 Introduction to Symmetry for Primary Students  Varnelle Moore
A unit designed to give young children (K2) an introduction to symmetry, with lessons on describing tangrams, slides, turns, and flips. Each lesson includes: an interactive, manipulativebased project; an activity incorporating technology; pencil and
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 Investigating LCM and GCF Using Rods  Margo Lynn Mankus
The objective of the lesson plan Investigating LCM and GCF Using Rods is to look at the Least Common Multiple (LCM) and Greatest Common Factor (GCF) from "handson" patternbuilding to using set theory. With teachers as the intended audience, the activity
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 Investigating Tessellations Using Activity Pattern Blocks  Suzanne Alejandre
A lesson plan with activities for investigating tessellations with pattern blocks, keyed to the NCTM Standards, and student tessellation samples. Links to a Patterns Program in which you can drag an unlimited number of standard pattern block shapes into
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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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 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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 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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 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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 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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 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 Education Page  Henri Picciotto
Math education articles by the author, with an emphasis on algebra. A New Algebra: Tools, Themes, Concepts, an article that summarizes the pedagogical and curricular thinking behind ATTC; Early Mathematics: A Proposal for New Directions, a chapter in
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 Mathemagic Activities  Cyberspace Middle School (CMS)/Larry Dennis, Florida State University.
Tricks based on simple mathematics, but which to those who don't understand the mathematics may seem magical. Since these tricks are based on mathematics, they are relatively easy to do and are pretty close to foolproof. Book recommendations and trick
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 Mathematics and Biology  Cut the Knot!, Alexander Bogomolny
A discussion of evolution, inheritance, genes and mutation, the Prisoners' Dilemma, and how these and other biological themes relate to mathematics, with an applet that applies a genetic algorithm to solving the Toads and Frogs puzzle. An interactive
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 Mathematics Education Resources at Acadia's School of Education  David A. Reid, Acadia University
Learn how to design mathbags, make a fraction quilt set, and teach with algebra tiles. Activities include Folding Fractions, exploring systems of linear equations with Geometer's Sketchpad, and Deductive Euclidean Geometry, as well as two Java applets,
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 Math in Motion: Origami in the Classroom, K8  Barbara Pearl
Workshops and a book which use an interdisciplinary and manipulativebased approach to teaching mathematics, supporting the Common Core State Standards for Mathematics (CCSSM) and unfolding a positive attitude toward math and learning. Barbara Pearl developed
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 Math Learning Center (MLC)  Gene Maier
A nonprofit Oregonbased educational organization that develops and publishes curriculum materials, provides continuing education for teachers, consults with educational agencies, and provides opportunities for parents and others to become knowledgeable
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 Math Lessons  Cynthia Lanius
A variety of algebraic and geometric projects and puzzles that help students find mathematical patterns and formulas. The Million $ Mission explores exponential growth, a Fractal Geometry Unit teaches the secrets of fractals, the Mathematics of Cartography
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 Math Machines  Math Machines, Ltd.
Workshops for building control devices and performing classroom activities with calculator programs in order to explore relationships between math and science. Simple devices that give an immediate, physical, dynamic expression to abstract mathematical
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 Math Moves!
Experiential installations that "stimulate mathematical imaginations and build the mathematical abilities" of interest, confidence, and skills. Museum exhibits have included "Balance and Imbalance," "Comparing Frequencies," "Shadow Fractions," "Scaling
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 Numicon  Numicon, Ltd.
By representing numbers as shapes, Numicon's teaching program addresses different learning strengths with a multisensory approach. Download free mathematics display resources (for bulletin boards and the like); topics include Numicon shapes, pattern
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 Polydron
British vendors of two and three dimensional, handson, geometric modelling systems and other geometric toys. Polydron Corporation history, online catalogue, and order form. To purchase Polydron products in the United States, contact Polydron International
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 A Revolution in One Classroom: The Case of Mrs. Oublier  David K. Cohen
This journal article, which "probes the relationship between instructional policy and teaching practice," considers one California teacher's response to the state's mid1980s mandate to replace mechanical memorization with mathematical understanding:
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 R. S. Schaeffer  Randy S. Schaeffer, Math & Computer Science, Kutztown University of Pennsylvania
Schaeffer teaches a course called "Methods of Teaching Secondary Mathematics." Download the lessons created by his students that call on Geometer's Sketchpad, graphing calculators, and Microsoft Excel. Lesson topics address parallel lines, box and whisker
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 The SET Home Page  Magliery, Weeks
A page "dedicated to the entertaining and highly addictive game of SET." The object of the game is to identify a 'Set' of three cards from 12 cards laid out on the table. Each card has a variation of the following four features: color, symbol, number
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 Setting the Stage with a Story  Suzanne Alejandre
Article about the development, and implementation, of online lessons created by Varnelle Moore at a Math Forum summer institute. Originally published in the June, 2013, issue of the CMC ComMuniCator, journal of the California Mathematics Council.
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 SpaceShape  Matt Storz
SpaceShape is a Windows95 program that allows various 3D shapes to be created and then flattened so that a pattern can be printed to make a model of the 3D shape. Various 3D shapes are supplied with the program (octahedron, dodecahedron, icosahedron,
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 Tangrams  Tom Scavo
Tangrams, a puzzle that helps develop spatialvisualization skills, may also be used to introduce or reinforce geometric concepts such as congruence, similarity, symmetry, etc. This unit for grades 4 through 6 uses tangrams to compute the area of polygons
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 Teacher2Teacher (T2T) FAQ  Math Forum
Answers to frequently asked questions from the archives of the Math Forum's question and answer service for teachers, with links to T2T discussions, Ask Dr. Math and the Ask Dr. Math FAQ, and relevant resources on the Web.
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 Teaching mathematical thinking through origami  Daniel Meyer, Cornell University; Jeanine Meyer, Pace University
A paper that offers general and specific strategies for using activities based on origami to invoke mathematical thinking. With background on origami, including its development and critical aspects of practice in the United States; how origami can relate
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 Teaching Resources: Mathematics  McGrawHill School Division
Activities and lesson plans for grades 16, linked to McGrawHill's program Math in my World; also MathTalk  conversations about key issues and teaching strategies (e.g. cultural diversity; manipulatives; technology; problem solving); and "Ask CyberScout!"
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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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 A Tour of Fractions  Math Forum
The Web often seems more like a maze than an organized set of resources. To help you find what you need, the Math Forum presents a 'tour' of fractions, offering links to lessons, activities, and materials, questions and answers from Ask Dr. Math, and
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 A Tour of Measurement  Math Forum
A central resource for people teaching and learning about measurement. For teachers there are links to lessons and materials, questions and answers from Ask Dr. Math, and recommended software, grouped by level (elementary, middle school, high school).
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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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 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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 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 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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 Where to Start?  Cut the Knot!, Alexander Bogomolny
A discussion of math education: the intent of the NCTM Standards, reflections on the history of constructivism, classroom practices (with a link to Marilyn Burns' Math Solutions page), and a simple applet for solving linear equations. An interactive column
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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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