 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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 ShareMath  Scolab Inc.
Create, share, and remix mathematical equations on the web. ShareMath offers menus for layout, table, calculus, trigonometry, set theory, symbols, relation, and Greek letters. From the makers of AlfredEq, Alfred's Equation Editor.
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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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 SIAM's Undergraduate Page (Society of Industrial and Applied Mathematics)  Math Department, Univ. of New Hampshire
SIAM serves the mathematics and industrial communities and offers another way to bring the two together. Mathematics articles and essays submitted by undergraduates; profiles of recent graduates and mathematicians in industry; information about internships
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 Siemens STEM Academy  Siemens Foundation
The Siemens STEM Academy provides professional development to educators as they cultivate junior scientists who will pursue careers in science, technology, engineering, or mathematics (STEM). Opportunities include an annual STEM Institute; interactive
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 Siemens Westinghouse Competition  The Siemens Foundation
The Siemens Westinghouse Competition in Math, Science & Technology fosters individual growth for high school students seeking to challenge themselves through science research. Through this competition, students have an opportunity to achieve national
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 The Sierpinski Carpet Project, 20002001  Tom Canright
Instructions and pictures of The Sierpinski Carpet Project, from Tom Canright and Linda Gazzola's sixth grade mathematics classes at the Latin School of Chicago. All of the carpets are a type of fractal, meaning that the basic patterns are reiterated
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 Sierpinski Shapes  Rick and Donna Joi
An interactive Java applet that allows you to create hundreds of fractal shapes using a variation of the Sierpinski triangle algorithm. Includes a page that provides a nontechnical explanation (with pictures) of the fractal math.
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 Sierpinski Tetrahedron: A Metal Sculpture  Stan Goldade
Pictures and background information on the sculpture, with some Sierpinski facts.
Breckenridge Senior High School students welded 4,096 equilateral metal triangles together to form 1,024 tetrahedra to form a stage5 Sierpinski Tetrahedron. It is located
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 The Sierpinski Triangle  Robert L. Devaney; Dept. of Mathematics, Boston University
Section from the paper "Chaos in the Classroom," describing the deterministic (rather than random) construction of the Sierpinski triangle.
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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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 Sieve of Eratosthenes  Program in C
A class assignment for Mathematics 216: Introduction to Mathematical Computation (with C) at the Univ. of Utah. The new part of the C language learned was the array. Problems: Design a program to make a list of primes less than N = 100 using Eratosthenes'
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 Sifting through the Web's data jumble  Ivars Peterson; Science News Online
A combination of text and link analysis underlies a novel method based on analyses of the way Web pages are linked to one another for automatically generating lists of authoritative Web resources.
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 Sight Enhancement Systems
Manufacturers of large display scientific calculators with speech output, and of large display calculators that allow people with low vision to perform scientific, statistical and trigonometric calculations. Download brochures and manuals for the SciPlus
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 Signal Processing Laboratory  Thomas W. Parks, Director; Cornell University, Ithaca, NY
People; wavelets and multiresolution analysis research.
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