 Math  PhET Simulations  University of Colorado
Dozens of free interactive, researchbased simulations of mathematical phenomena, from arithmetic, estimation, graphing lines, and Plinko probability, to projectile motion, wave on a string, Fourier (making waves), and blackbody spectrum. PhET's Java
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 MathPickle  Gordon Hamilton
Free videos that pose "rich math gems": Fibonacci Mutant Bunnies, Amoeba Squares, Kajitsu, Locker Room Prank, Area and Perimeter of Animals, Ballast Puzzles, and more. Select a grade band for PDF solutions, presentations in PowerPoint and Keynote formats,
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 The Math Place  Frank Sobierajski and Mickey Jo Sobierajski
Narrated PowerPoint presentations, problems, and video files of student solutions  some with references to versions published in journals such as Mathematics Teacher and supporting documents such as Geometer's Sketchpad sketches: Newton's Square Root
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 Math Planet
Hundreds of free video lessons, exercises, and examples to solve. Get help with prealgebra, algebra, or geometry by posting questions to Math Planet's forums. See also the downloads of SAT and ACT sample tests. The Swedish nonprofit organization behind
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 MathRack  MathRack, Inc.
"The original arithmetic rack," this manipulative resembles an abacus, but lacks place value columns. Also known as a Rekenrek, and originally developed by the Freudenthal Institute's Adrian Treffers.
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 Math Reasoning Inventory  Scholastic
An online formative assessment tool for the Common Core State Standards (CCSS) math domains of number and operations. Watch Math Reasoning Inventory (MRI) clips of facetoface interviews of students as they reason and explain their strategies, demonstrate
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 MathResources247.com  Ampac Enterprises, LLC
Educational math toys, games, activities, and teaching supplies such as MathSafari, Hot Dots, Math Ad Libs, overheads, geoboards, algebra tiles, balances, and play money (realistic looking coins).
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 Maths & Numeracy Games  Keen2Learn
Increase understanding and build up speed in preparation for tests, SATs, 11+ and GCSE exams with Keen2Learn's maths and numeracy games on adding and counting, algebra, division and multiplication, fractions, numbers, percentage, shape and space, subtraction,
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 Maths Outdoors  Juliet Robertson
Blog posts from an education consultant "passionate about getting children outside." Posts on learning math outside with a kinesthetic emphasis, which date back to September, 2008, have included "Leaf Logic," "Investigating Right Angles with Sticks,"
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 Math Toys, Presented at NCCE and NECC  Adam Rabinowitz
Excel documents for math, in the following subjects: number sense (addition and subtraction, multiplication and division), patterns and geometry, and portions (fractions, decimals, perecnts).
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 Math Vantage  Center for Science, Mathematics and Computer Education, NE
Videotapes and print materials designed to bring middle level mathematics (grades 69) to life and to address the NCTM Standards (1989). Five units include: Patterns; Spatial Sense; Data Analysis; Proportional Reasoning; and Language of Mathematics.
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 MathWonders, LLC  Amy ClarkWickham
Makers of ClockWise products, which draw on the image of the 12hour analog clock to conceptually unite the decimal (10), duodecimal (12), and sexagesimal (60) patterns that emerge from nature and everyday experience. Purchase the ClockWise system book,
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 matthen  Matthew Henderson
"Things of interest in maths & science" created by a PhD candidate in Statistical Dialogue Systems who majored in mathematics as an undergraduate. Posts date back to March 2011, and routinely feature Henderson's original animated gifs: "Orbits around
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 Michael Serra
From the author of Discovering Geometry: An Investigative Approach and Smart Moves: the Games and Puzzles series; videos such as DG Investigations and "How to Teach Math Anxiety"; articles and handouts on cooperative learning; speaking engagements and
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 MiddleSchool Math Through Applications Project (MMAP)  Institute for Research on Learning (IRL)
Developers of curriculum materials and software designed to make math relevant, accessible and successful for middleschool students. While working on realworld multidisciplinary design problems, students grapple with mathematics from basic skills to
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 Middle School Problem of the Week  Department of Mathematics, Southwest Missouri State University (SMSU)
Word problems in number patterns, algebra, geometry, and other topics. Read the solution to the most recent problem, and archives of previous problems and their answers.
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 MiGen  London Knowledge Lab
This generalization software microworld presents the abstractions of algebra in a visual format. With MiGen's simple sequences of coloured tiles, young learners construct patterns (eGeneraliser), express their structure and relationships (eXpresser),
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 The Million $ Mission  Cynthia Lanius
You have your choice of two payment options on your new job: 1. One cent on the first day, two cents on the second day, and double your salary every day thereafter for the thirty days; or 2. Exactly $1,000,000. (That's one million dollars!) What's the
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 More than Magic Squares  Ivars Peterson (MathLand)
Peterson writes about magic squares, quoting Benjamin Franklin's interest in them. In addition to giving a few examples, Peterson also mentions Victor E. Hill IV's musing about whether the discoverer of the magic square actually set out to find an example
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 Mr. Myers' Classroom  Nathan Myers
Read the puzzle of the week and then submit your answers online. Other "brain busters" include matrix logic puzzles, featuring readymade charts. Explore and identify fraction bars with JavaScript, or geometry with Java applets. Also, fact sheets and
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 Mrs. Glosser's Math Goodies  Gisele Glosser
Interactive math lessons that work online and offline in a Web browser, and provide immediate feedback to students, with in addition Worksheets (on circumference and area; exponents; expressions and equations; integers; Ocean Math; order of operations;
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 Multicultural Math Fair  Suzanne Alejandre, Frisbie Middle School
Twentynine percent of Frisbie's student population is Limited English Proficient; Arabic, Cambodian, Chinese, German, Indonesian, Korean, Philipino, Polish, Portuguese, Romanian, Samoan, Spanish, Taiwanese, Vietnamese, and Urdu are represented. In 199394
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 Murderous Maths  Kjartan Poskitt et al.
Contents, descriptions of characters, updates, and "extra bits" for the books Murderous Maths; The Essential Arithmetricks; Desperate Measures; Do You Feel Lucky?; Vicious Circles and other Savage Shapes; The Phantom X; The Fiendish Angletron; The GCSE
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 Music through the Curriculum  Phil Tulga
Developers of math programs such as "Math and Music," which teaches students how to "hear" math (what does a fraction sound like? how about a shape?); and "Math, Science and Sound," an assembly and family night program that connects thunder, volcanoes,
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 Musing Mathematically  Nat Banting
Thoughts from a high school mathematics teacher on the teaching of mathematics, and the learning of mathematics. Posts, which date back to May, 2011, have included "Playing with Mean, Median & Mode," "Attaching a 'Why' to the 'How," "The Mathematics
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 My Magic Square  Michael Dormann
Enter a number from 23 to 100, then press the calculate button to see a completed 4x4 magic square, of which any row, column, diagonal, the center square, and the four corners each sums to the number entered.
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 Next Generation Preschool Math  WGBH Educational Foundation
"Can engagement with activities in a mediarich curriculum supplement improve lowincome children's early learning of number and equipartitioning?" By developing and evaluating iPad apps for preschoolers, tools for tracking their progress, and guides
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 Nifty Ideas: HandsOn Math Lab  Fran Endicott Armstrong
Rationales, lesson plans, notes, and sample materials for first quadrant graph games (graph hide and seek and collinear game) and skip counting and multiples activities (counting people and hands and fingers, and arithmetic calculator). The triangular
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 No Matter What Shape Your Fractions Are In  Cynthia Lanius
Students explore geometric models of fractions and discover relations among them, reinforcing their knowledge of fractions by using online pattern block activities. The lessons are designed for students to work independently or with guidance from the
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 The Nuffield Foundation
Math teaching and learning resources include freely downloadable Freestanding Mathematics Activities (FSMAs) and Applying Mathematical Processes (AMP) activities, a mix of investigations and practical explorations. The Nuffield Foundation works to improve
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 Number Guessing  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Think of a number and answer a few questions posed by the computer. After a while the compter will announce your number. The trick is based on a special card design whose variations appeared more than a hundred years ago.
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 Number Patterns  Harvey Heinz
A brief description of why mathematics is often called the science of pattern followed by examples of a variety of magic squares of various types; examples of orders 5 to 12d magic stars, and selections from Heinz's collection of over 400 number patterns
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 Number Patterns in Pascal's Triangle (SMILE)  Ulysses Harrison, Dunbar Vocational High School
A lesson for grades 5 and up designed to enable students to recognize the integers, rows, and columns that comprise Pascal's Triangle. The main objective of the lesson is to enable students to reproduce the first eleven rows of Pascal's Triangle by recalling
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 NumberSpiral.com  Robert Sacks
Instructions, observations, formulas, and a glossary about number spirals, formed by writing the nonnegative integers on a ribbon, rolling it up with zero at the center, and arranging the spiral so all the perfect squares line up in a row on the right
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 NUMDRUM  John T. Harrison
The "Numdrum" helps children understand addition, subtraction, and other fundamental arithmetic concepts. An alternative to the number line and the 10 x 10 number square, this "decimal helical number line" lists integers around a tube, ten to a turn,
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 OpenEnded Math Problems  Gwenn Holtz and Mary Lee Malen, Levering School and the Franklin Institute
An eightmonth slate of openended problems for middle school students to solve in preparation for standardized testing. The authors have composed and selected problems that lend themselves to multiple solution paths, and then organized them into three
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 Original Lesson Plans  Mathematics  Thirteen/WNET New York
Original Webbased activities developed by Thirteen Ed Online Master Teachers. Each lesson consists of an overview with learning objectives, procedures for teachers, and "organizers" for students  handouts, bibliographies, and other materials. Math
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 Ostrich Llama Count  Examining Solution Methods  Suzanne Alejandre
Activity, alignments, directions, extensions, and activity sheets that detail five ways to solve the Problem of the Week (PoW) "Ostrich Llama Count." Originally published in the March, 2013, issue of the CMC ComMuniCator, journal of the California Mathematics
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 Pascal's Fractals  Ivars Peterson (MathLand)
It's possible to convert Pascal's triangle into eyecatching geometric forms. For example, one can replace the odd coefficients with 1 and even coefficients with 0. Continuing the pattern for many rows reveals an everenlarging host of triangles, of varying
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 Pascal's Triangle and its Patterns
All kinds of information about Pascal's triangle: sums of the rows; prime numbers; hockey stick pattern; magic 11's; Fibonacci sequence; triangular numbers; square numbers; polygonal numbers; points on a circle; connection to Sierpinski's triangle.
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 Pascal's Triangle from Top to Bottom  Matthew Hubbard and Tom Roby
A comprehensive resource for the study of Pascal's Triangle. The section "Applications" addresses questions such as "What types of questions are answered by the binomial coefficients?" and "What number greater than 1 shows up most often in Pascal's Triangle?"
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 Pascal's Triangle Interface  Andrew Granville
A form that lets you visualize the entries of Pascal's triangle with respect to a modulus between 2 and 16. Select values for the number of rows, modulus, and the size of the image, and submit.
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 Pattern Exploration: Integrating Math and Science for the Middle School  Martin Logan et al.
Download PDFs of lesson plans from units such as The PascalSierpinski Connection, Branching Patterns in Trees, Lessons in Paper Folding, Fractal Wallhanging, Patterns in Nature, Scaling and Dimension, and more. With accompanying Java applets and Cabri
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 Patterns in Mathematics (Teachers' Lab)  Annenberg Media
This lab, based on the professional development series and workshops broadcast on the Annenberg/CPB Math and Science Project Channel, explores patterns as they occur in logic, numbers, and words, focusing on how to develop "function sense" without simply
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 Patterns, Patterns, Everywhere  Nina Heal
Three lesson plans: an internetbased research project on patterns; connections between the arts of M. C. Escher and quilters; and a technologyenriched tessellations lesson. Includes a teacher resource page with rubrics.
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 The Paul Godding Maths Roadshow  Godding
School visits by the UK's "Puzzle Man" feature numberrelated board games, card games, tricky puzzles, and other math activities that involve logic, strategy, and spatial/visual awareness to improve children's mental arithmetic skills and feed their enthusiasm
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 paulus gerdes's Storefront  Paulus Gerdes
Purchase print editions or download Gerdes' titles, some also available in Portuguese, Dutch, and French: Drawings from Angola: Living Mathematics, Enjoy Puzzling with biLLies, Puzzle Fun with BiLLies, The Bisos Game: Puzzles and Diversions, Introducing
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 Pentomino Relationships  Adrian Smith
The site describes how pentominoes (twelve pieces of wood, each a different shape and each made of five cubes) fit together into rectangles or cuboids, as well as the subsequent challenge of finding as many other solutions as possible from the one just
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 Perfect Numbers  Math Forum, Ask Dr. Math FAQ
What is a perfect number? How many are there? How can you calculate a perfect number from a Mersenne prime?
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 Pick a number from 1 to 10 ... for SCIENCE!  Alec Perkins
"When asked 'pick a number from 1 to 10,' people tend to pick certain numbers more than others, in particular 7 and 4 over the extremes...." Participate by choosing your own number; see bar graphs and line plots of data submitted thus far according to
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