 Seventeen Kinds of Wallpaper Patterns  Mathematics Museum (Japan)
Examples of the 17 wallpaper groups in Japanese culture. Also available in Japanese.
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 Several Complex Variables and Analytic Spaces  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to several complex variables, the study of (differentiable) functions of more than one complex variable. The rigid constraints imposed by complex differentiability imply that, at least
locally, these
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 SF, posets, and coxeter/weyl  John Stembridge
This is a group of combinatorics Maple packages for Unix and Mac operating systems, specifically for studying symmetric functions, partially ordered sets, root systems, and Lie algebras.
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 SFU Department of Mathematics & Statistics  Simon Fraser University
Links to the departmental directory;
applied mathematics, and
statistics home pages; undergraduate and graduate course outlines and schedules; seminar, conference, and meeting information; and the Centre for Experimental and Constructive Mathematics
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 SGBox  Singapore's Best Selection (TM)
Offers Singapore Math books, Singapore Math help, free games and resources
on education.
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 SG Symplectic Geometry (Front for the Mathematics ArXiv)  Univ. of California, Davis
Symplectic Geometry preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Shack's Math Problems  Michael Shackleford
Pages of math problems ranging from basic math to differential equations. Each problem comes with a difficulty rating from one to four stars, roughly a measure of how much time it took Shackleford to do the problem. Includes answers and, usually, solutions.
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 ShadowFax Cluster Rant  A. Jorge Garcia
Garcia blogs about teaching math and computer science with technology (such as SmartBoards), learning math and computer science with technology, and the LinuxClusters super computer called ShadowFax. Posts, which date back to May, 2009, have included
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 Shady Puzzles  LambdaMu Pte Ltd
A logic and elimination (disjunctive syllogism) puzzle: the column and row headers identify the number and spacing of shaded squares within a gridplace shaded squares where they belong according to those guides. The site includes a history of the puzzles,
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 Shai Simonson
Shai Simonson is an associate professor of computer science and mathematics at Stonehill College. The site contains the article "How to Read Mathematics," which uses the probability of two people having the same birthday as an example. The site also
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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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 Shape and Space in Geometry (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 the properties of objects (angles, surfaces) and the consequences of how these objects are positioned (where
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 ShapeGame  Architectronics, Inc.
Drag shapes on, drag shapes off: triangles, squares, hexagons, rhombuses, and trapezoids. Also, change their color, orientations, and more.
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 The Shape of Space  Jeff Weeks
This textbook surveys the basic geometry of two and threedimensional spaces — stretching students minds as they learn to visualize new possibilities for the shape of our universe. Contains illustrated examples and engaging exercises intended to teach
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 SHAPES  XOX Corporation
Providing advanced C/C++ libraries and applets for application developers in GeoScience, CAE, CAD, Medicine, and other industries that require geometry and topology. Their primary product is Shapes®, a geometry system. Site offers contact and product
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 Share My Lesson: Math  SML JV LLC
Browse, search, and review thousands of math activities, worksheets, games, lesson plans, flashcards, puzzles, posters, assessments, and videos  including dozens related to Christmas, Halloween, and other events  or share your own on this free platform
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 Share Six Cookies with Seven People  Don Cohen (The Mathman)
Young children (ages 67) discover fractions by dividing cookies  3 cookies with 2 people, 2 cookies with 3 people, etc.. A sample problem with answers from Chapter 2 of Don Cohen's worksheet book.
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 SHAREWARE.COM  CNET, Inc.
Search more than 250,000 files in the former Virtual Software Library: first select the platform of your choice, then enter the word or filename to search for. You may also search for files in a specific archive here by first selecting the archive of
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 Sharp3D.Math Project Page  Eran M. Kampf
A .NET Numerics Library built in C#. It contains objectoriented classes for linear algebra, geometry and a broad range of numerical techniques for the Microsoft .NET framework. Topics covered: Matrices and Vectors, Complex Numbers, Distance Methods,
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 Shedding Light on the Subject: Function Models of Light Decay (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation in which students develop and analyze exponential models for the behavior of light passing through water. Accompanying video clips show the iMath in action in real classrooms.
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 Shell Centre  Shell Centre for Mathematical Education Publications Limited
Publishers of math education design, development, and research, including about the Mathematics Assessment Resource Service (MARS) and the Balanced Assessment for the Mathematics Curriculum. Read descriptions, reviews, and sample pages of teaching materials
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 Shelley's Mathematics Articles  Shelley Walsh
"Little selfcontained articles [that] write up more than you can normally fit in a lecture, and ... hopefully put together enough explanation so that there's something for a great variety of different ways of thinking." Organized into Geometry; Analytic
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 Shelley Walsh
Syllabi and notes for math courses from arithmetic review to beginning calculus. Download MathHelp a tutorial program with problem sets for Mac or PC, or learn how to use MathHelp to create your own tutorials. Brief Mathematics Articles present concepts
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 Sheppard Software
Software for SAT, GRE, math, and more, including: Algebra  One On One (covers 21 functions), License Plate Math (puzzles for ages 9 and up), Brain Builder  Math Edition (over 500 million puzzles), Math Function Mania (a multimedia game for grades 712
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 The Shikaku Room  Paul Hutchinson
Given a few numbered squares in a larger grid, block out rectangular and square sections so that each component piece contains the one number that represents its area. Randomly generate or create your own grids — from 4 × 4 up to 20 ×
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 ShillerMath: How Kids Learn Math  Larry Shiller
A homeschooling math kit, designed to be kid and parentfriendly. Details of the curriculum and free sample activities are available on the site, as well as a parent resource center, newsletter, chat area, and more.
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 Shmuzzle Puzzle  Sam Savage
Inspired by M.C. Escher's famous tessellation drawings, these salamanders interlock in multiple ways. Physical and online puzzles, a contest, history of the shmuzzle, resources for teachers, and other shmuzzle products.
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 Shock and Vibration Software and Tutorials  Tom Irvine, Vibrationdata.com
Free downloadable Windows software and tutorials with an emphasis on acoustics, shock, vibration, and signal processing. Much of the material is based on Fourier transforms, Laplace transforms, and other mathematical functions. The author also offers
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 Shockwave Montessori Arithmetic Games  OurMontessori
Materials designed to accompany a Montessori program, suitable for any student. A link to download Shockwave Player is included. Contents: Stamp Game  use with children ages 47 for addition and subtraction; Large Bead Frame  extends basic addition
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 Shodor Education Foundation, Inc.
A nonprofit research and education organization dedicated to the advancement of science and math education, specifically through the use of modeling and simulation technologies. Interactive middle school lessons aligned with curricula are available through
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 The Shoelace Problem  Ivars Peterson (MathTrek)
How should shoes be laced? This seemingly simple question, rooted in everyday life, can provoke passionate argument  and evoke a mathematical response. There are at least three common ways to lace shoes, as illustrated: American (or standard) zigzag,
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 Shoe Size vs. Height  Statistical Analysis and Linear Regression with FATHOM  Jay Yohe; Susquehanna Township High School, Harrisburg, PA
A lesson plan in which students analyze onevariable distributions (histograms and box plots), determine measures of center (mean, median) and spread (standard deviation, range), analyze scatter plots, form lines of best fit, and explore least squares
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 Shooloo  Shooloo Inc.
At Shooloo, students "discover the joy of writing their own math stories" by publishing original word problems, constructing viable arguments, critiquing the reasoning of others, and modeling real life with mathematics. Shooloo then presents the resulting
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 A Short Course in Trigonometry  David Joyce; Dept. of Mathematics & Computer Science, Clark University
An introduction and a guide to trigonometry, with hints and answers to exercises, and Java applets as illustrations. Contents include applications of trigonometry, angle measurement, chords, sines, cosines, tangents and slope, the trigonometry of right
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 Shortcuts to Departments of Physics, Engineering, and Mathematics  Fred Lemmerhirt, Waubonsee Community College
A collection of quick links to departments of physics, engineering, and mathematics at most U.S. universities and fouryear colleges, listed
both by location and alphabetically. Many twoyear colleges are also included.
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 Shortest Enclosures on Surface of Cube (Math Chat)  Frank Morgan, MAA Online
The circle provides the leastperimeter way to enclose given area in the plane. What is the leastperimeter way to enclose given area in the surface of the unit cube? Answer: Al Zimmerman correctly finds that the best way to enclose small area is not
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 A Short Guide to Writing Mathematics  Stephen B. Maurer; Dept. of Mathematics & Statistics, Swarthmore College
A guide to mathematics writing for college students who want to learn mathematical style  math majors or prospective majors, or students who will go into other quantitative fields and expect to communicate with mathematics in their careers. You may contact
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 A Short Introduction to Symmetry and Groups  Jenny Olive
A beautiful and satisfying area of maths that also has many important applications in areas such as crystallography and particle physics. Olive gives some examples of how symmetry can be described by groups, for which no previous maths is required, and
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 Short Signal Harmonic Spectra and Approximation  Dmitriev E.V.
The author writes: "Presently traditional ways to determine signal spectra are based on the expansion of functions in Fourier series or on their representation by Fourier integrals with applying a system of basis ORTHOGONAL functions. For the first time,
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 Should Mathematicians and Mathematics Educators be Listening to Cognitive Psychologists?  Annie and John Selden; Mathematical Association of America
Organized into four sections: Different Questions and (often very) Different Views of Mathematics; Shared Underlying Principles of Knowledge Axquisition; Where is the Mind? and Some Concluding Reflections. Subsections include A Schema Theory; Mathematics
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 Should Nader Voters Flip a Coin? (Math Chat)  Frank Morgan, MAA Online
Answer to the Challenge: Suppose that in a certain U.S. state 12 million potential voters favor Bush, 10 million favor Gore, and 5 million favor Nader with Gore as second choice. The Nader supporters want to be sure than Gore wins, but they would like
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 ShowMe Center
A National Science Foundation project supporting implementation of standardsbased middle grades mathematics curricula. The site features a calendar listing professional development opportunities; information about five different math curricula (Connected
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 Show Me Your Math  Borden, Lisa Lunney; and Wagner, David
Student projects and resources to support culturally responsive teaching from a program that invites Aboriginal Students in Atlantic Canada to explore the mathematics evident in their own community and indigenous practices. Nova Scotia youth who participate
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 Show N Tell Multiplication Table Tutor  Sheela Belur
Audiovisual practice in the multiplication tables. For Internet Explorer on Windows only.
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 ShowTheMath.org  Alan Degener
Enter an algebra equation and then solve it, step by step  manually: use the pulldown menu to describe steps as combining like terms, distributing, expanding, factoring, adding to both sides, subtracting from both sides, dividing both sides, multiplying
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 ShtetlOptimized  Scott Aaronson
Blog posts include "Teaching your students not to need a teacher," "Ten Signs a Claimed Mathematical Breakthrough is Wrong," "Essentials of complexitytheoretic standup comedy," "My take on the Koblitz affair, "Logicians on safari," and "Unparadox Contest."
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 SIAM Activity Group on Orthogonal Polynomials and Special Functions  Martin Muldoon
A group for promoting basic research in orthogonal polynomials and special functions; furthering the application of this subject in other parts of mathematics and in science and industry; and encouraging and supporting the exchange of information, ideas,
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 SIAM Activity Groups  Society for Industrial and Applied Mathematics
Activity Groups on: Control and Systems Theory; Discrete Mathematics; Dynamical Systems; Geometric Design; Geosciences; Linear Algebra; Optimization; Orthogonal Polynomials and Special Functions; Supercomputing, etc. Rules of Procedure, Initiation and
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 SIAM Journal on Discrete Mathematics  Society for Industrial and Applied Mathematics
A journal that publishes research articles on a broad range of topics from pure and applied mathematics, including combinatorics and graph theory, discrete optimization and operations research, theoretical computer science, to coding and communication
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 SIAM Journals  Society for Industrial and Applied Mathematics
The journals of the Society for Industrial and Applied Mathematics (SIAM): Applied Mathematics; Computing; Control and Optimization; Discrete Mathematics; Mathematical Analysis; Matrix Analysis and Applications; Numerical Analysis; Optimization; Scientific
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