 Intriguing Tessellations  Marjorie Rice
Famous for discovering four hitherto unknown tilings of pentagons, Marjorie Rice got her start in tessellations reading an article by Martin Gardner. This site features mathematical explanations and examples of several tessellations using pentagons, as
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 Introducing Powers and ModelsI (SMILE)  Sarah Barrett, Mars Hill School
A lesson for grades 410 designed to teach students to discover how to square numbers; that squares are areas; the meaning of terms (exponent, to the power of, etc.); to visualize powers; to construct models and describe shapes; and to manipulate puzzle
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 Introduction à l'algèbre  Gilles G. Jobin, Projet Diderot
An interactive course, with extensive use of the Geometer's Sketchpad. Sommaire: Introduction générale; Conseils techniques; Test diagnostique (En chantier); Définitions et vocabulaire; Représentation sur la droite numérique;
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 Introduction to Algebra (The Math League)  Mark Motyka; Math League Multimedia
A Math League basic topic. Contents include: Variables; Expressions; Equations; Solution of an equation; Simplifying equations; Combining like terms; Simplifying with addition and subtraction; Simplifying by multiplication; Simplifying by division; Word
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 An Introduction to Angles (SMILE)  Samuel A. Anoma, Hyde Park Career Academy
A lesson designed to teach students to name, classify, identify, and measure angles. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Introduction to Fractal Geometry  Michael Frame, Benoit Mandelbrot, and Nial Neger
A collection of pages to support a first course in fractal geometry for students without especially strong mathematical preparation. See examples of fractals in the arts, humanities, and social sciences. Learn about selfsimilarity, plane transformations,
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 An Introduction to Fractals  Paul Bourke
"What is a fractal? B. Mandelbrot: A rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reducedsize copy of the whole. Mathematical: A set of points whose fractal dimension exceeds its topological
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 Introduction to Fractions on the Numberline (SMILE)  Claudia R. Jones, Crane High School
A lesson designed to teach students to read fractional parts of an inch on a ruler, and to deal meaningfully with the typical number line. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Introduction to Geometry  ThinkQuest 1996
Four basic lessons in geometry, each divided into separate sections, with a final test and a reference page with formulas. 1  Basics (Terminology, Relationships, Calculations); 2  Introduction to Proofs (Theorems, Reasoning, Proofs with Segments, Proofs
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 Introduction to Math and Spreadsheets  Jan Garner
Exercises on spreadsheets. Using ClarisWorks, graph a spiral or a few parabolas; build a scale model of the Great Pyramid or find the biggest box you can make from a sheet of cardboard; plan the budget for a picnic.
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 Introduction To Solving Equations (SMILE)  Mary Lynn Bochenek, Central Junior High School
A lesson designed to teach students to arrive at an equation of the form X = [ ] in which the variable is isolated and the solution is then obvious through use of equivalent equations. From the Algebra and Trigonometry section of a collection of almost
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 Introduction to Symmetries  Chaim GoodmanStrauss; The Geometry Center
Studying symmetries called isometries, which preserve distances. Pattern and symmetry appear in virtually every human culture. Symmetry surrounds us, both in the natural world and in the world of human artifact... the arrangement of needles on a pine
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 Inventing Science: From Thales to Euclid  Gregory Crane, Tufts University
Classics 189: Greek Science. Euclid's synthesis remains the most successful single book on math every written, but advances were made in many other fields such as geography, astronomy and the natural sciences. Aristotle, in particular, laid the foundations
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 invention at play  Lemelson Center, Smithsonian National Museum of American History
Rotate and translate the tangramlike pieces of Puzzle Blocks to form the silhouettes shown; arrange the gears, springs, funnels, and other objects of Tinker Ball to divert the falling ball into the target. The Invention at Play exhibition focuses on
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 Inversions: A Catalog of Calligraphic Cartwheels  Scott Kim
The inversions gallery of Puzzlemaster Scott Kim, whom Isaac Asimov called "The Escher of the Alphabet." An inversion is a word or name written so that it reads in more than one way. Some inversions read upside down, some flip in a mirror. Some read as
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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 Patterns: Number Patterns Fun with Curves & Topology  Jill Britton
Annotated list of links within various number pattern, curve, and topology topics. Linked items feature activities for students. Topics include: prime numbers/magic squares, clock or modular arithmetic, the golden ratio, Fibonacci numbers, binary numbers/Pascal's
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 Investigating Patterns: RUBBER Geometry (Topology)  Jill Britton
Selected web pages for educators, each leading to recreationoriented learning experiences for middle school students. Topics include: Topology / Anamorphic Art; Jordan Curves / Mazes / Networks / Map Coloring; MatheMagic / Mobius Strip; Flexagons.
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 Investigating Patterns: Symmetry and Tessellations  Jill Britton
Thirty activities from a variety of Web sites, coordinated with a forthcoming book by Jill Britton for Cuisenaire/Dale Seymour, Exploring Pattern: Symmetry and Tessellations (March 1999). Topics include an introduction to symmetry; symmetry in the alphabet,
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 Investigating Polygons  Margo Lynn Mankus
The lesson plan for What is the Sum of My Angles? has the objectives of investigating the sum of the measure of the interior angles of a triangle using several methods, and making a mathematical conjecture from observations. The lesson plan for Regular
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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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 Investigations in Projective Geometry  Dwayne Alvis and Wanda Nabors
How threedimensional scenery is reproduced on a twodimensional piece of paper. Construction exercises and a Geometer's Sketchpad file to download.
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 Investing for Kids  Leung, Ngai, & Mirza, ThinkQuest 1998
A site designed by kids for kids. It examines stocks, bonds, mutual funds etc. to teach the principles of saving and investing to beginners and seasoned investors, and includes a stock market game for learning how to invest, with concepts of investing
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 Investing in your Future  ThinkQuest 1996
A searchable site for learning the basics of investing. Four financial calculators are available so investors can see how much different investments will return. Follow additional links to the nation's great financial institutions and other exciting places.
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 Invest Smart  David Leung, George Lee, and Andy Kim
Learn about the stock market and investment techniques. A Market Simulation lets classes, clubs, or individuals invest an imaginary $100,000 and track the results; includes a separate mutual funds simulation. Site also contains information about saving
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 iPracticeMath
Type in your responses to iPracticeMath's online multiplechoice questions, and press the orange "submit" button to check your answers: addition, subtraction, multiplication, division, algebra, "word to number" (interpreting writtenout quantities), and
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 IQFlash.com  Sergey Melnikov
Logic and math games include a variation of Nim, Rhumb Line (similar to tictactoe), and Breakfast Brainstorm (rotate the pans in order to make each of the four numbers equal 20 as soon as possible). Strategy articles include games such as tictactoe,
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 Irish Central Statistics Office (CSO)
Statistical information for the country of Ireland from the government body responsible for compiling Irish official statistics. Tables of important socioeconomic data, press releases and publications (available for download in PDF format), and ordering
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 Irregular Tetrahedron Formula (Ask Dr. Math FAQ)  Math Forum
Formula for finding the volume of an irregular tetrahedron. This will work for a regular tetrahedra also, but a simpler formula is available in that case.
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 Is a Circle a Polygon?  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about whether a circle is a polygon, whether it has zero, one, or an infinite number of edges, and more.
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 ISGEm: International Study Group on Ethnomathematics  Ron Eglash
A group that sponsors programs and business meetings at annual conferences of the National Council of Teachers of Mathematics (NCTM) in the United States, and at the International Congress of Mathematics Education (ICME)."Ethnomathematics" describes the
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 Islands & Divisions of Knowledge (Pattern Based Reason)  Alan Selby
Not seeing the difference between one and twoway implications is a common source of confusion in reading, writing and mathematics. Oneway implication rules can sometimes be put together to get further implication rules. One and twoway implications
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 Is Mathematical Teaching a Function of Time?  Andrej and Elena Cherkaev, eds.
A page of math humor, including definitions, anecdotes, math education jokes, theorems, puns, limerics, and links.
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 Isn't It a Great Time to Be Alive?  Rex Boggs
PDFs and Promethean ActivInspire flipchart files which survey the range of digital technology available to assist in the learning and teaching of mathematics. These free downloads accompanied the talk given by the veteran middle school math teacher to
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 I Support the Common Core  McCallum, Bill; and Zimba, Jason
Blog "for people who want to be active in support of the Common Core State Standards" (CCSS). Posts, which date back to August, 2013, have included "Cathy Kessel critiques the critiques," "A mathematician on the rigor of the Common Core," "The Coming
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 It's Fourth Down and What Does the Bellman Equation Say? A DynamicProgramming Analysis of Football Strategy  David Romer, Department of Economics, University of California, Berkeley
PDF download of David Romer's working paper. Reviewing almost 20,000 first quarter plays of National Football League regular season games, Romer analyzed fourth down decisionmaking and the rarelyquestioned consensus that it's better to punt than to
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 I Used To Believe  Mat Connolley
A collection of childhood beliefs, such as thinking that cats are female dogs, that seeds swallowed will sprout fruit from your ears, and a primal fear of toilets. "Some of the beliefs come from overactive imaginations, but a lot are the result of parental
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 IXL Learning
IXL provides free online practice, organized by grade levels K8 and aligned to state standards. Choose one math skill from among the hundreds offered, and submit your answer. Respond incorrectly, and click on the "explanation" button to learn more; get
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 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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 jackmathsolutions.com  Jack Koenka
Freely download individual chapters of the AP Calculus AB textbook coauthored by Koenka and Roger Allen. Download problem of the week documents, sample test and assignments, notes, worksheets, and other instructional resources. Koenka invites students
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 Jacopo Notarstefano
Interactive visualizations and puzzles: "Turing's sunflower," which connects leaf arrangements and Fibonacci numbers; "HavelHakimi," which presents nodes and their degrees to construct into a graph; "Fourcoloring a Dodecahedron"; and a logic puzzle
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 Jaina mathematics  MacTutor Math History Archives
Linked essay on the period after the founding of Jainism up to around the time of Aryabhata in around 500 A.D., until recently thought to be a time of little mathematical activity in India. (Jainism is a religion and philosophy which was founded in India
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 James P. Dildine  James P. Dildine
Interactive math lessons for exploring parabolas, triangle areas, Pythagorean triples, triangle angle sums (powered by a Cabri Java applet), cancer and mathematics (image analysis, and determining the area and perimeter of nonregular figures), systems
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 James Poon Online Classroom  James Poon
Online instructional mathematics videos; a discussion forum; and articles on study skills.
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 Jamit Fractions  JAMIT Software
Software for learning fractions, for students from 8 years old to adults. Topics are presented in short lessons, each with references, examples, and a practice game that generates problems to be solved. A free version is on the Web; Part One may be purchased
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 JAN (Job Accommodation Network)  President's Committee on Employment of People with Disabilities
An international tollfree consulting service that provides information about job accommodations and the employability of people with functional limitations. JAN's mission is to assist in the hiring, retraining, retention or advancement of persons with
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 janko.at  Angela and Otto Janko
Puzzles, games, and Java applets on logic, number, and chess. See also the Jankos' Retrograde Analysis Corner and analyses of legal moves in chess.
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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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 The JASON Project
A yearround scientific expedition designed to excite and engage students in science and technology, and to motivate and provide professional development for teachers. The project mounts a twoweek scientific expedition each year. The team conducts research
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 Java Boutique Educational Applets  internet.com Corp.
Investigate or download various Java applets, including 3D viewers, calculators, applets to graph functions or data, and simulations, such as the bell curve and fractals. The source code for many applets may also be downloaded; a few applets are shareware
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