 Symmetric Patterns at the Alhambra, with Math Problems  Susan Addington, David Marshall
The Alhambra is a walled city and fortress in Granada, Spain, built during the last Islamic sultanate on the Iberian peninsula, the Nasrid Dynasty (12381492). The palace is lavishly decorated with stone and wood carvings and tile patterns on most of
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 Symmetric Presentations  J. N. Bray
Presentations of groups, symmetric or otherwise, divided into classes to make location easier. Groups that have just one (finite) nonabelian composition factor up to isomorphism are listed in the first seven sections according to the isomorphism type
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 Symmetrier, monstre & tesselationer med The Geometer's Sketchpad  Allan Bergmann Jensen, Kalundborg, Denmark
GSP Symmetries, Patterns and Tessellations. Contains a gallery of wallpaper designs constructed using the Geometer's Sketchpad with JavaSketchpad versions to explore, an illustrated paper on "The Math About Symmetries" (in Danish), a GSP guide, a links
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 Symmetries and the Millennium (Math Chat)  Frank Morgan; Christian Science Monitor
What are the symmetries of a cube in space? What about a hypercube in 4 dimensional space?
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 Symmetry and Group Theory (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
Computational and recreational geometry pointers to sites with information, problems, and lessons having to do with symmetry and group theory (tessellations, kaleidoscopes, origami, etc.).
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 Symmetry and Orbifolds (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Given a symmetric pattern, what happens when you identify equivalent points? You get an object with interesting topological and geometrical properties, called an orbifold... hearts, paper dolls, wave patterns, quotient orbifolds, Moebius bands.
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 Symmetry and Pattern: The Art of Oriental Carpets  The Textile Museum/Math Forum
In this online exhibit, the study of symmetry is used to analyze patterns in Oriental carpets. A joint project of The Textile Museum and The Math Forum.
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 Symmetry  Gyorgy Darvas
Organizations, events, publications, projects related to symmetry.
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 Symmetry  Rick Engel
A lesson on the symmetry of the Platonic and Archimedean solids using Polymorf, a math manipulative product. Demonstrates inscription, truncation, sectioning, and space filling with polyhedra.
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 Symmetry  Science Museum of Minnesota
Patterns in Nature  butterflies and moths are symmetrical, with two equal sides. Symmetry means balanced proportions. Mrs. Schmidt's class spotted symmetry everywhere! Make your own butterfly using the pattern and instructions provided.
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 Symmetry Studio 1.01  Binkley, Simon; Artware, Inc.
Symmetry software for mathematics and art, for the Macintosh. A computeraided design tool that allows you to quickly create complex twodimensional symmetrical patterns. It simplifies the study and use of mathematical principles that underlie the regular
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 Symposium on Implementing Reform in Math, Engineering, and the Sciences
A workshop that brought together college faculty and administrators involved in largescale implementation projects on the freshmen and sophomore level, or who were preparing such projects for the near future, held June 78, 1996, in Scottsdale, Arizona.
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 Synergetics on the Web  Kirby Urner, 4D Solutions
R. Buckminster Fuller's "explorations in the geometry of thinking" is detailed in two thick volumes, Synergetics and Synergetics 2. Synergetics thoroughly permeates the rest of Fuller's writings as well. The invention for which Fuller is most famous,
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 SysQuake  Calerga
Highly interactive software for the design and simulation of dynamic systems. Runs on PowerPC Macintosh computers and Windows 95, 98 and NT 4 computers. SysQuake LE is the free version of SysQuake, and may be downloaded from the site.
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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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 Systematic Mathematics  Paul Ziegler
This videobased home school math curriculum promises to "repair [the] essential foundation for your more experienced student, or create a solid math foundation for younger students." Each module consists of dozens of short lessons, delivered via DVD,
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 System Dynamics in Education Project (SDEP)
System dynamics is a method for studying the world around us. It deals with understanding how complex systems change over time. Internal feedback loops within the structure of the system influence the entire system behavior. Math materials are available
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 System Dynamics  Maryland Virtual High School at Montgomery Blair High School
Understanding how complex systems change over time: internal feedback loops within the structure of the system influence the entire system behavior. Tools and resources including connections to other system dynamics/operations research projects; and links
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 Systemic Initiative for Montana Mathematics and Science (SIMMS)
A fiveyear, cooperative initiative of the state of Montana and the National
Science Foundation, with nine major objectives, including the redesign of the
912 mathematics curriculum using an integrated, interdisciplinary approach for all students,
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 System Simulation: The Shortest Route to Applications  Prof. Hossein Arsham; University of Baltimore
Course notes. Information includes: Course Information (for students enrolled in the class); Topics in Descriptive Simulation Modeling; Statistics and Probability for Simulation; SIMSCRIPT, and SPSS Commands; Techniques for Sensitivity Estimation; Goalseeking
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 Systems of Linear Equations with Solutions  Matyáš Theuer
Freely downloadable PDF of hundreds of linear equations, complete with "nice" solutions, i.e., that are easy to find by basic methods: three, four, and fivevariable systems with no, one, and multiple parameter solutions sets.
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 Systems Theory; Control  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to systems theory; control: the mathematical study of complex dynamic structures in engineering. One
can attempt a mathematical or statistical test for system identification, that is, to deduce the
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 syzygymatrix: solutions for small problems in the classroom  Jeff LeMieux
Generate cryptograms, division worksheets, fraction worksheets, and proportion problems. Select the length of dividend, denominators specified by the Washington State Standards for Grade 7, number of problems, and more. The worksheet maker prints solutions.
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 Syzygy Shareware  Thomas C. Bretl
A source of math freeware for both Mac and PC, appropriate for grades K12. Includes games,
simulations, and skillbuilding programs. Explore, see in new ways, discover patterns, and solve
problems.
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 T^{3} Conferences  Texas Instruments, Inc.
The T³ program hosts the annual T³ International Conference each spring and twoday Regional Conferences throughout the year. T³ Virtual Conferences contain video recorded sessions from T³ events. T³ conferences are appropriate for Kcollege, mathematics
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 Table of numbers problem  Dario Alpern
Place the natural numbers between 1 and mn in a table of m rows by n columns, so that the sum of the addition of the products of the numbers that compose the rows plus the addition of the products of the numbers that compose the columns is as low as possible.
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 Tables of Roman Measurement  Mike Neill
Tables of Roman measurement on this site (Calender, Capacity, Length, Money, Surface, Weight) are taken from A Smaller LatinEnglish Dictionary, by William Smith LLD, a Classical Examiner in the University of London, John Murray, Albemarle Street, 1865.
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 TableTop Earthquakes  John C. Lahr
A demonstration of seismology for middleschool teachers and students that can be used to augment lessons in earth science (faulting, elastic rebound, plate motions), physics (forms of energy, elasticity, friction, magnetism, waves), math (graphing, logarithms,
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 TableTrainer
A Windows 95/98 maths program to purchase, designed to be used once a day for about 10 minutes to assist in learning multiplication tables. The program allows you to practice and test multiplication tables from 1 to 12, selecting which tables you practice
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 Take a Little Piece of PI with You Wherever You Go  Adam Zampino
Proudly display PI to 1000 decimal places in an attractive design, in various types of apparel and housewares (mugs, clocks, etc.). PI has fascinated people for centuries, and now you can have your own piece of PI to enjoy. This makes a great gift for
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 Taking 20 Percent Off  NASA Lewis Learning Technologies Project
If a $900 computer is on sale for 20 percent off, what is the sale price? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Taking America's Measure  National Institute of Standards and Technology (NIST)
Resources on this site for children include: Metric Pyramid (a pattern that can be printed, cut out, folded, and taped in the shape of a pyramid); Metric Fast Facts for Sports; Metric in the Kitchen; All You Will Need to Know About Metric; Metric Conversion
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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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 Taking Games Seriously  Cut the Knot!, Alexander Bogomolny
In the twenty years since it first appeared, Winning Ways for Your Mathematical Plays had become a classic and a rarity. So did its companion book, On Numbers And Games, which was written in just about a week by one of the WW's authors and saw the light
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 Talking about Probability: A Study on Learning Probability Theory via a Dialogue System  Dr. Dietmar Janetzko
After an initial quiz, a "talking head" will present and discuss problems in probability theory. You don't
have to be an expert on probability theory to participate, though people with a background in that field may also enjoy asking questions of Dr.
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 Talking Math Ed with the Males  Josh and Lorraine Males
This blog "dedicated to all things math ed" includes lesson ideas, policies, curriculum, and research. Posts "for people to have a conversation about mathematics education," which date back to August, 2011, have included "CCSS from the Curriculum Writers
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 Talk of the Nation, Science Friday  Ira Flatow, National Public Radio
An edited version of a radio program that aired on September 9, 1994. Science Friday host, Ira Flatow, interviewed guests Keith Devlin, Dean of Science at St. Mary's College, and William Dunham, math professor at Muhlenberg College.
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 Talk Stats Forums
A discussion forum for statistics enthusiasts. Get free statistics help or
just hang out and talk about statistics.
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 Tangencies of Circles and of Spheres: Radii Solutions  Eugene F. Dearing; Dearing Aviation
New methods of finding the radii of circles tangent to three given circles, (Apollonius' Problem), and the radii of spheres tangent to four given spheres, (Apollonius' Problem in three dimensions). Download the article in zipped format, or view it online.
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 Tangent Circles  Paul Kunkel
Three circles are given. How many circles can be constructed tangent to all three? How are they constructed? This lesson includes ten applets, to cover all of the special cases. Some of them are very complex.
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 Tangent Planes  Magness, Klotz, Swarthmore College
An experiment in using the World Wide Web to illustrate the intuitive notion of tangent plane to a graph of a function of two variables. Written by Prof. Gene Klotz and Swarthmore College student Ethan Magness.
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 Tangoes  Rex Games, Inc.
Based on the ancient Chinese Tangram puzzle, Tangoes is a learning tool that combines artistic and mathematical elements to enhance visual perception ability, develop problem solving skills, and encourage creative thinking capacity and teamwork. Tangoes
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 Tangram Page  S. T. Han
All about tangrams, an ancient Oriental toy that has 7 pieces: 5 triangles in different sizes, 1 square, and 1 parallelogram. The object of the game is to form a given shape using all 7 pieces. Introduction, Puzzle of the Month, PC/Mac Software, Articles
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 Tangrams: History, Puzzles, Make It, and Links  Randy Crawford
Follow the "history" link to learn about tangrams through the ages; click on "puzzles" for over 100 silhouettes to reconstruct, with solutions. "Make it" provides instructions for building your own tangram set. With references to more sites, software,
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 Tangrams  J. L. Read; Enchanted Mind
A tangram applet that allows you to rearrange the seven forms to exactly reproduce the given image. To move the pieces, drag them with the mouse. To rotate pieces, click with the right mouse button or (on the Mac with a onebutton mouse) click while holding
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 Tangrams  Tom Scavo
Tangrams, a puzzle that helps develop spatialvisualization skills, may also be used to introduce or reinforce geometric concepts such as congruence, similarity, symmetry, etc. This unit for grades 4 through 6 uses tangrams to compute the area of polygons
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 TaniyamaShimura Conjecture Proved (Math Chat)  Frank Morgan, MAA Online
A proof of the full TaniyamaShimura conjecture, partly included in Wiles's 1994 proof of Fermat's Last Theorem, was announced last week [June, 1999] at a conference in Park City, Utah, by Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor,
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 Tanzzle™  Franco Cocchini
Software for exploring tangrams. View published patterns and/or submit one of your own. Request a free license for schools and educational programs. Free 30day trial; free viewer download. Choose from four different sets of pieces: Tangram (traditional
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 Tap & Count 100  Nancy Chupp
iPad app for learning how to count using senses of sight, sound, and touch: see the number; tap on the number; hear the number, and count along. Also available directly from the iTunes store.
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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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