 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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 Problems with a Point  Education Development Center, Inc. (EDC)
A collection of problems designed to help students in grades 612 learn new mathematical ideas by building on old ones. Varying in difficulty and approaches, these problems are useful for teachers, students, parents, math clubs, homeschoolers, and others.
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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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 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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 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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 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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 You Can Do The Rubik's Cube  Rubik's, Seven Towns Ltd.
The You CAN Do the Rubik's Cube Solution Kit offers teachers lesson plans, homework sheets, and answer keys aligned to national standards as well as 19 state frameworks, anchors and 21st Century Skills. Lessons and activities support Geometry, Algebra
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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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