 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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 mikesmathpage  Mike Lawler
Blog by a former math professor "writing about math with my kids." Posts, many with videos of Lawler and his children at a whiteboard, date back to November, 2013: "Day in the life of a home school dad," "Family Math and paper folding," "Fun with James
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 MMach 1.3: Khoros 2.1 Toolbox on Mathematical Morphology  Adriano Nagelschmidt Rodrigues, Junior Barrera, Roberto de Alencar Lotufo, Roberto Hirata Jr.
Mathematical morphology is a general theory that studies decompositions of operators between complete lattices in terms of some families of simple operators: dilations, erosions, antidilations and antierosions. This theory is largely used in computer
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 Modeling Permutation Group (SMILE)  Mary Margaret Nee, Von Stueben Science Center
A lesson designed to teach students to construct equilateral triangles on cardboard; develop the transformation concept with a one to one correspondence; generate the rotation and reflection table; and deduce from the model the abstract axioms of a group.
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 More Meaningful Math  Monika Schwarze
An international project to motivate students ages 12 to 16 with problems that show the importance of mathematics in real life and related to other subjects, and to enrich their teachers' methodology. Browse the file archive of freely downloadable documents
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 Morphing Art (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
When you're riding along on your bike or in a car, you sometimes see the word "ONLY" painted on the roadway just before an intersection. The white letters look normal from where you're sitting. But if you were standing beside the "ONLY" instead of riding
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 NECTAR Foundation: New Era Classroom, Technology and Research
A nonprofit foundation specialising in the development and marketing of educational software in the kindergarten to grade 12 program with a focus on mathematics software programs. It also develops and markets print, video, and audio materials for students
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 Nils Ahbel  Deerfield Academy, Deerfield, MA
Access Ahbel's Blackboard courses as a guest to preview his teaching resources and download Excel files in algebra, functions, statistics, and trigonometry.
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 A Number of Things  Karyn Vogel
Blog where a K5 Math Coach in Burlington (VT) "shares ideas and resources related to mathematics and education." Posts, which date back to October, 2011, have included "Math and Image," "A new way of problemsolving," "Sugar and Ice book review," "Plus
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 Origami Snowflake Game  Rick Nordal
Origami designs to fold from a "snowflake" base — a square of 32 identical 45°45°90° triangles. Topics from Nordal's sixteen chapters include "Base fold geometric snowflakes," "Lightning folds," "How to fold 3 geometric snowflake shapes,"
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 Pages Mathématiques  Lycée de Vienne SaintRomainEnGal (académie Grenoble)
Une série de cours de mathématiques: Géométrie du triangle; Transformations; Géométrie des cercles; Barycentres; Coniques et courbes; Solides; Statistiques; Fractales; Géométrie non euclidienne;
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 Patternbee Multiplayer Spatial Reasoning  Jordan Pollack
In this version of tangrams, pairs of learners create the puzzles for each other to solve, which can be at different levels of difficulty. Requires free registration to play, as this is an educational psychology research project.
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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 puzzles  Mike Frost
Rotate pentominoes to tile an 8×8 grid. This JavaScriptpowered online puzzle lets you select from a variety of decorative patterns and graphic designs.
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 peterlu.org  Peter Lu
Publications and research into medieval Islamic geometry (e.g., decagonal and quasicrystalline tilings in its architecture), softmatter and colloid physics, highperformance imaging, ancient Chinese technology (e.g., first use of diamond, early precision
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 Plane Isometries  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of basic facts and partial explanations on plane isometries. With accompanying Java applets for translation, reflection, rotation and glide reflection.
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 Polaroid Geometry Scavenger Hunt  Math Forum
This activity presented by Ruth Carver at the Math Forum's 1996 Summer Institute, "Constructing Mathematics on the Internet," displays pictures of items found on this a hunt for a list of geometric items (tessellations, symmetry, concentric circles, shapes,
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 The postIMO97 web page  Olimpíada Matemática Argentina
Problems and results from the math olympics held in Argentina in July, 1997. Available in English and Spanish, with problems also in French, Russian, German, and a host of other languages.
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 Potent Problems  Institute for Studies in Educational Mathematics
A database of problems that deepen understanding of mathematics through multiple answers, approaches to an answer, interpretations, extensions, perspectives on a mathematical idea, layers of complexity, or algorithms. Potent problem content topics include
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 PRISMNEO: Programming Remediation and Intervention for Students in Mathematics  Near North School District, Ontario, Canada
Handson Geometer's Sketchpad manipulativesplus "some things that cannot be done by hand!" The GSP files, as well as some QuickTime movies, are organized into Grade 7, Grade 8, and Grade 9 under the following topics: area, central tendency, equations,
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 Proactive Play  Punitha Jayaraman
Articles on cognitive development research into, and activities to improve, spatial skills. Posts, which date back to October, 2012, have included "Hari Builds with Construction Set," "Piaget and van Hiele: Compare, Contrast and My Thoughts ...," "Hari's
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 PUERTRA  Javier Sánchez González
The software package PUERTRA implemented a theoretical study of formal properties of Islamic geometrical art. PUERTRA modeled the Islamic rectilinear interlaced lattices found extensively in wood work (artesonado ceilings, mosque minbars, doors and windows,
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 Puzzle Zapper  Alexandre Owen Muñiz
Original mathematical puzzles, some available in lasercut acrylic for sale: polyomino common superforms, pentomino coloring problems, miscellaneous polyomino explorations, flexible polyforms, square grid puzzles, visualizing sequences of numbers, Lissajous
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 QPuzzle  XIAO Gang
A mathematical jigsaw puzzle: your goal is to recover a disordered photo by finding the inverse affine transformation. A French version is also available.
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 Recipes for Pi  Anna Weltman
Blog born partly "out of a mixture of enthusiasm and anger about the ways that the world learns and shares math." Posts, which date back to February, 2012, have included "Tinker, Tinker, Algebra Student"; "Beauty Is a Math Art Class"; "The Mathematics
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 Reflections in the Why  Chris Hunter
Blog by a K–12 numeracy helping teacher in Vancouver. Posts, which date back to September, 2010, have included "Linear Functions — Concretely, Pictorially, Symbolically"; "Math Manipulative of the Month — Base Ten Blocks"; "A Linear Functions
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 Rotations (SMILE)  Susan Nash, Lake View High School
A lesson designed to teach students to define rotation as the composite of two reflections over intersecting lines; identify rotation images of a figure; and recognize and apply the properties of rotation. From the Graphs and Visuals section of a collection
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 Science Animations  Peet van Schalkwyk
Science and Maths animations done in Macromedia Flash. These animations are free, interactive, 3D and dynamic.
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 Science vs Magic  Nico Disseldorp
JavaScript by Disseldorp, who "likes it when simplicity makes complexity": tessellation kit, for kaleidoscopic drawing; fractal machine, for investigating seven axes of self similarity; logic grid, for exploring recursion; and elementary cellular automata.
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 Scrambled Grids  Ivars Peterson (MathTrek)
The socalled baker's map, or transformation, in dynamical systems theory. One special case: Start with a square. Stretch it to twice its original length
while making it half as wide. Cut the result in half, and stack one half on top of the other to
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 Search Ask Dr. Math Archives  The Math Forum
Search by keyword K12 math questions answered by volunteer 'math doctors' in the U.S. and abroad.
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 Seedbed  Tom O'Brien, ed.
Throughout the 1980s, Seedbed published articles on "the intellectual growth of children, and teachers' participation therein." Editor Tom O'Brien described the publication as a practical one, "where teachers are the principal authors and where teachers'
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 Solve My Maths  Ed Southall
Blog of "puzzling questions that purposefully minimalise the amount of information explicitly given," written by the author of Yes, but Why? Teaching for Understanding in Mathematics. Posts by the University of Huddersfield maths education specialist's
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 sonata mathematique  Rachel Kernodle
Blog by a high school math and learning specialist. Posts, which date back to June, 2011, have included "twitter math camp," "mathematical art," "i also want you to learn…," and "rational functions take two."
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 SPA Software
A U.K.based software company, makers of educational software in several subjects including mathematics.
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 Star Grades: The Best Tutor  Star Grades.com
Offers $20/hr online tutoring in multiple subjects, including SAT preparation. Package deals available.
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 Success for All
Curriculum driven by cooperative learning that focuses on individual pupil accountability, common goals, and recognition of team success, all with the aim of getting learners "to engage in discussing and explaining their ideas, challenging and teaching
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 Summer of Math  Christopher Danielson
A subscription service to "infuse creative math into your family's play all summer long." Each curated box contains math tools and toys crafted out of American hardwood with a laser cutter by Danielson, a curriculum designer and former teacher who works
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 Teaching Geometry with Google SketchUp  Bonnie Roskes
3DVinci's resources for teaching geometry with this 3D modeling application include projects of the month, videos, teacher resources and guide, 2D and 3D project books, a blog, geometry tips and projects, and much more. Google originally created SketchUp
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 Thinking Mathematics!  James Tanton
Tanton writes wordless volumes of creative and surprising math puzzles, accessible approaches to calculus suitable for standardized test preparation, and curriculum "tidbits." Download his free guides to fractions and "to everything quadratic," and watch
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 ThinkQuest
An international contest designed to encourage students from different schools and different backgrounds to work together in teams toward creating valuable educational tools on the Internet while enhancing their ability to communicate and cooperate in
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 Toys from Trash  Arvind Gupta
Stepbystep photographic instructions for building elegantly simple, colorful "Math Magic" doityourself manipulatives: Abacus, Flexagon, Triangle Grid, Flat Flexagon, Slipper Insets, Folding Pentagon, Tangram, Paper Octagon, Cylinder and Cone, Area
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 Transformations  David A. Reid
A transformation is a onetoone mapping on a set of points. The most common transformations map the points of the plane onto themselves, in a way which keeps all lengths the same. These transformations are called isometries. Another common sort of transformation
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 Visualizing Math
Tumblr of mathematical images begun June, 2013, by two high school students from Minnesota. Images have included "A panorama on a Möbius strip," "Fractal Trees by Robert Fathauer," "elegantly constructed proofs through visual inspection," "animation
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 Walking Randomly  Michael Croucher
Croucher's blog, which dates back to August of 2007, has included posts such as "Logo Programming on the pocket PC," "Christmas gifts for math geeks (like me!)," "Martial Mathematics," "R Compared to MATLAB (or 'learning a thing or two from your students'),"
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 Wallpaper Groups (Plane Symmetry Groups)  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Mathematicians classify plane patterns such as wallpaper patterns by means of symmetry groups  groups of transformations of the plane that leave the pattern invariant. A transformation slides, rotates, and reflects the plane into another position. Such
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 WatchKnowLearn  Community Foundation of Northwest Mississippi
Thousands of free online math educational videos, categorized into topics such as mathematics for young learners, number operations, math in the real world, precalculus, math study skills and test prep, and history of math.
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 WAVE: Web Access Virtual Education  University Laboratory High School; University of Illinois at UrbanaChampaign
The Illinois WAVE Project provides Mathematica Tutorial notebooks categorized as pertaining to Algebra, Applications, Calculus, Conics, Geometry, Precalculus, Statistics, or Trigonometry, for use in the high school mathematics curriculum. From the University
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 Wild About Math!  Sol Lederman
Math posts, which date back to October, 2007, have included "10 ways to get wild about Math," "How to square large numbers quickly (part 1)," "26 tips for using learning styles to help your kids with Math," "The algebra of crossmultiplication," "Flexagon
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 Wilson Stothers' Geometry Pages  Wilson Stothers, University of Glasgow
A guide to the various geometry topics on Stothers' pages, including Euclidean, affine, projective, inversive, and hyperbolic geometries, and the Klein View of geometry. These pages began as an experiment in teaching projective conics using Cabri to provide
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