 Science, Engineering, and Technology for Youth  eXtension
Lessons, news, articles, answers from experts, a glossary, and other science resources for young people. See especially Math in Child Care, which organizes suggestions for developing children's mathematical foundations into topics such as onetoone correspondence
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 The Set Game Company  Set Enterprises Inc.
SetGame is a family game of visual perception. Take the Java tutorial; learn the math behind the game (create a 3x3 magic square with SET cards, learn why the largest possible "no set" contains 20 cards, explore set theory and set operations involved
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 Shapari and Curvay  Spelunk Computing
Windows software designed to allow children to produce abstract and fractal patterns from simple shapes and operations. Shapari offers 5 levels of difficulty, allowing children to challenge their visualization abilities by matching computer generated
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 Sieve of Eratosthenes  Interactive mathematics Miscellany and Puzzles, Alexander Bogomolny
Sieve of Eratosthenes with an interactive Java illustration. A slight
modification of the Eratosthenes' algorithm leads to a different sieve
that leaves out square numbers. The latter is also accompanied by a Java
illustration.
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 Simeon's World of Magic  Bob Fay
Interactive card tricks on the Web. Pick a card; whisper it out loud; Simeon will always remove it on the next page.
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 A Small Puzzle  Joe Fields
The site offers a visual proof that the sum of the first n consecutive odd numbers is n^2, the "L"decomposition.
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 Snowflakes  Kenneth G. Libbrecht
"Your online guide to snowflakes, snow crystals, and other ice phenomena." Snow activities include instructions for using everday objects and dry ice to make your own snowflakes; for using glue to make plastic snowflake replicas ("snowflake fossils")
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 Sometimes We Learn Some Math Too  Jacqueline Sheppet
Blog by a high school teacher in British Columbia. Posts, which date back to September, 2014, have included "Purple is the new math," "Forming a formative mindset," "A formula to understand," and "Do the ends justify the means?"
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 Some Variations on the Theme of Polyominos  Recmath
Patterns that illustrate how the squares of polyominos are connected to each other. Examples of polyominos with a grid superimposed to illustrate the individual squares; with a line that joins the midpoint of two adjacent square if the squares are connected.
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 A Song About Pi  Ivars Peterson (MathTrek)
A short biography of Irving Kaplansky, Director Emeritus of the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA, and his analysis of the structure of complex songs.
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 Sorting and Analyzing (SMILE)  Vickie Townsend, Crown Fine Arts Community Academy
A K12 lesson designed to teach students to sort, compare, and analyze through exploring, observing, and examining concrete objects, and to recognize a bar graph. From the Patterns and Logic section of a collection of almost 200 single concept lessons
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 Sorting Through Life! (SMILE)  Barbette Flennoy, Joseph Stockton School
A Kindergarten lesson designed to teach students how to sort objects by recognizing their attributes and, if possible, relate them to life. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Spirals of Primes  Bryan Clair, University of Chicago
This page will generate a spiral of numbers, with the primes marked as stars, and the composites as dots. The center of the spiral is marked with an 'X'. Specify the number at the center of the spiral below, and the width (and therefore also the height)
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 square root of negative one teach math  Amy Gruen
Blog by a high school math teacher in Kansas. Posts, which date back to December, 2010, have included "Stations Review and Practice," "The Loop for Logs," "My Thoughts On Homework," "Everyone Failed (and What's Up With Probability?)," "Visualizing Volumes,"
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 Step into 2nd Grade  Amy Lemons
Blog by a second grade teacher in Texas who sells her original classroom materials on Teachers Pay Teachers. Dating back to May, 2011, her posts routinely feature snapshots of her colorful, cheerful supplies. Lemons' math posts have included "Addition
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 Stickets  Wanderlands
A puzzle game for iPhone "that forgot Tetris existed": drag tricolored Lshaped blocks onto a grid and tap contiguous, similarly colored areas comprised of three or more squares in an ongoing quest to preserve space on the grid. The app also challenges
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 Strategies for Finding Sequences  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about strategies for finding sequences, such as "Write an expression to find the nth term of the following sequence: 3, 9, 18, 30, 45..." and "Find the following 2 terms and a formula for the nth term."
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 Strawberry Macaw's Puzzle Page
Although simple, this collection of four logic puzzles provides a challenge for students of any age. The interactive puzzles are: The Fox, the Duck, and the Bag of Corn; The Three Gallon and Five Gallon Cans; The TwentyThree Matches Game; and The Game
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 studio:ludens  Wouter Walmink and Alexander Rulkens
Free online tools that "let you play with your own creativity," designed by two Dutch industrial and interaction designers in Eindhoven. Create your own patterns with Repper; your own tessellating coasters with Epa:kato; your own fractals and other complex
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 subtangent.com  Duncan Keith
With Flash, explore interactive investigations such as Number Stairs and Diagonal Differences. Play Mathionaire, based on the popular TV game, but with maths questions. Quizzes include Function Machines, Number Properties, Pythagoras, and Quadratics 1.
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 A Su Doku solver
Solvers for sudoku puzzles, with documentation, source code, and binaries. Frequently asked questions about this numeric puzzle include "Su Doku" or "Sudoku"? How does the solver work? How do I compose a Su Doku problem? How few cells could appear on
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 Sudoku Widget  Brian DeBoer
Macintosh OS X users familiar with Dashboard use its miniapplications to perform common tasks and get fast access to information. The Sudoku Widget by Brian DeBoer generates random puzzles with four different levels of difficulty, has the option to show
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 SysteMATHics  Sigurd Andersen
Based on a discipline started by John G. Bennett, systematics is an attempt to understand the meaning implicit in number. The three areas of mathematical exploration covered are triadic numbers; ngrams, number patterns expressed graphically using the
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 Taking a Workshop or Course  Annenberg Media
Workshops and courses appropriate for preservice and inservice teachers, administrators, reformers, and policymakers. Supplemental video programs called teaching practices libraries are also availablethey give a "flyonthewall" view of real teachers
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 Tap Into Teen Minds  Kyle Pearce
"Transforming mathematics education in an iPad paperless classroom." Posts, which date back to September, 2011, have included "Apple TV In The Classroom – The New Smart Board," "OAME Tap Into Teen Minds Educational Technology Presentation," "Problem Solving
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 Teachers' Lab  Annenberg Media
Labs based on professional development series and workshops broadcast on the Annenberg/CPB Math and Science Project Channel. Each combines online activities with background information and interactive polls or worksheets for use in classrooms, with links
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 Teaching Ideas for Primary Teachers: Maths
Math activities for ages 511 include a puzzle display, shapes worksheets, ideas for making a maths dictionary, a questioning technique, and many more games, worksheets, and activities for the classroom.
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 Teaching & Learning Perspective: Constructivism  John Pais
Communicating Mathematics Using Heterogeneous Language and Reasoning. Mathematics is the science of patterns... Precisely how humans accomplish selforganization is still essentially unknown, but nevertheless has important consequences for structuring
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 Teaching Mathematics  Daniel Pearcy
Pearcy has used this blog, subtitled "Questions, Ideas and Reflections on the Teaching of Mathematics," as a "journal of ideas, lessons, resources and reflections." Posts, which date back to October, 2011, have included "New Sunflower Applet: Fibonacci
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 Tessellations: An Application Of Simple Regular Polygons (SMILE)  Mary Racky, Kenwood School
A lesson designed to develop basic skills making and identifying homogeneous
tessellations, both regular and semiregular. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 themathlab.com
Playful, interactive studentmade problems, games, drills, lesson ideas, tools, "magic," and more. Lessons include practice problems which, when solved correctly, generate passwords that grant access to "treasure rooms." Lesson ideas include Algebachee
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 This is MegaMathematics! (MegaMath)  Nancy Casey; Los Alamos National Laboratory
The frontier of mathematics is an exciting place, where mathematicians experiment and play with creative and imaginative ideas, many of them accessible to young children; others (infinity is a good example) whose profound mathematical importance is not
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 Time Engineers  Software Kids
A CDROM game of interactive, openended engineering problems to solve by using math and science skills, designed to help middle and high school students explore and apply some of the fundamental principles of engineering. Time Engineers encourages trialanderror
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 Toads And Frogs Puzzle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An interactive exploration of the Toads and Frogs puzzle, also known as Hares and Tortoise; Sheep and Goats; Hop, Skip, Jump; and Traffic Jam.
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 To Classify Beans And Peas (SMILE)  Gwendolyn Williams, Adam Clayton Powell School
A lesson designed to teach students to identify five different kinds of beans and three different kinds of peas, to record information on a bar graph, and to
interpret the information given. From the Patterns and Logic section of a collection of almost
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 Tower of Hanoi  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
There are three posts. Disks of different sizes are placed on the lefthand post, arranged by size with the smallest on top. You are to transfer all the disks to the righthand post in the fewest possible moves, without ever placing a larger disk on a smaller
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 Tower of Hanoi on the Web  Miroslav Kolar
The legend: A group of Eastern monks are the keepers of three towers on which sit 64 golden rings. Originally all 64 rings were stacked on one tower with each ring smaller than the one beneath. The monks are to move the rings from this first tower to
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 Tower of Hanoi (SMILE)  Paul Eubanks, Washington High School
A lesson for grades 612 designed to teach students to discover a pattern and to evaluate an exponential expression. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for
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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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 Traffic Jam  Math Forum
Equal numbers of people face each other with one open slot between them. Everybody faces the open slot. If there are 6 people there will be 7 slots, 6 of
which must always have people in them. People must attempt to exchange places without turning around.
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 Trioker  Triominoes Puzzle  J. Marc Genevey
Le jeu de Trioker a été inventé par Monsieur Odier et étudié par luimême et son compère Mr Roussel dans leur ouvrage Surprenant Triangles. Il est composé de l'ensemble des 24 pièces triangulaires
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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 Symmetry to Create A Community Quilt (SMILE)  Beverly Brown, Hedges West
A lesson for grades 412 designed to teach students about line and reflectional symmetry through cooperative work on a quilt with four lines of symmetry. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science
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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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 Veewo  Veewo Game
Makers of puzzle game apps 1024, Just Get 10, Math Freak, and more.
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 Villainy, Inc.: Thwarting World Supremacy through Mathematics  Maryland Public Television
To thwart the evil Dr. Wick, ID, middle grade students take on the role of an advisor to his company, Villainy, Inc.  while secretly using their math skills to make sure Wick never succeeds. As undercover double agents for the AntiVillainy Unit (the
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 Visiting Artlandia  Ivars Peterson (MathTrek)
Have you ever admired any of the bold, colorful designs splashed across a variety of fabrics used for scarves, neckties, shirts, and other apparel? There's a chance that you may come across the work of a physicist. Igor Bakshee got into fabric design
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 Visual Patterns  Fawn Nguyen
Visual patterns to extend and express algebraically, following the prompts on an accompanying handout. Nguyen, who teaches middle school math in California, has posted graphic arrays since December, 2012.
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 Visuals Patterns in Pascal's Triangle (SMILE)  Ulysses Harrison, Dunbar Vocational High School
A lesson for grades 5 and up that uses a phenomenological approach to show students the many visual and number patterns present in the sequence of numbers in Pascal's Triangle, and to encourage them to explore the patterns on their own. From the Patterns
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 Wilder's Fourth Grade Math and Science  Jim Wilder
Wilder's blog, which dates back to July of 2008, has included posts such as "Pumpkin Investigation/Family Math Night," "Spuds, Velocity, & Central Tendency," "predict the pattern," "codes and the tricky elevens," and "thinking about patterns." Wilder
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