 Self Portrait at Age 13: Albrecht Durer 1484  Ralph Martel
A paper illustrated by a PowerPoint slide show to demonstrate how Albrecht Durer used geometry in his art work from the age of thirteen. This paper by Martel is one of a series that he is writing on mathematics and art. Suzanne Alejandre wrote a teaching
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 SelfReference and Apparent SelfReference  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Various paradoxes, real and imagined, including verbal, logical, and mathematical examples, and links to: Blinking page with errors; Apparent paradox; Set of all subsets; An Impossible Page; Russell's paradox; and An Impossible Machine.
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 Selfsimilarity  Robert L. Devaney; Dept. of Mathematics, Boston University
A section from the paper "Chaos in the Classroom," describing selfsimilarity, with the example of the Sierpinski triangle.
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 SEMAA: Science, Engineering, Mathematics, and Aerospace Academy  NASA's Glenn Research Center; Cuyahoga Community College
Created to expose historically underrepresented youth to activites in the fields of science, engineering, mathematics, and technology, SEMAA offers information about its classes and program as well as links and contact information.
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 Semiregular Tessellations  Totally Tessellated
Color renditions and real examples of the semiregular tessellations. Templates allow you to print renditions of each tessellation suitable for coloring activities.
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 Sense and Dollars  Maryland Public Television
The Sense and Dollars project helps middle and high school students learn about and practice effective ways of earning, spending, saving, and investing money in a safe, interactive environment. Activities include: Earning Money (All About the Benjamins,
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 SEN Teacher Resources
Resources, freeware downloads, links and documents for those involved in the education of pupils with learning difficulties, autism and other special educational needs. Some of the materials may also be of use to teachers and parents of primary aged children.
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 Septangle  Paul Nahay
Play the game, Septangle, online! Septangle is copyrighted by Dr. Paul Nahay, (DMA, Stanford University 1983).
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 Sequence and Series (calculus@internet)  WebPrimitives, Cambridge, Massachusetts
Links to Web pages for resources for sequences and series in calculus.
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 Sequence Cracker  Aleksandar Jus
A free Android app that challenges you to provide the next digit, given a sequence of numbers.
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 Serendip  Bryn Mawr College
An expanding forum and a continually developing set of resources for exploring and supporting intellectual and social change in education, social organization, and for making sense of life, organized into: Brain and Behavior, Complex Systems, Biology,
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 Series Simulator  Doug Ensley, Shippensburg University
A program that allows you to use a random number generator to simulate a series
with parameters specified by you.
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 SERVE
An education organization promoting and supporting the continuous improvement of educational opportunities for all learners in the Southeast United States. SERVE provides resources, services, and products in the program areas of assessment, accountability,
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 Sessions on Assessment at the AMS/MAA Joint Meetings  The Math Forum
The 1996 Joint Mathematics Meetings in Orlando, Florida featured presentations on assessment.
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 Sessions on Calculators, 1997  Joint Meetings, AMS/MAA, San Diego, CA
The Use of HandHeld Technology in the Teaching and Learning of Mathematics: a selection of presentations about calculators from the AMS/MAA Joint Mathematics Meetings, 811 January 1997, San Diego, CA.
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 Sessions on Humanistic Math at the AMS/MAA Joint Meetings  The Math Forum
The 1996 Joint Mathematics Meetings in Orlando, Florida featured presentations on the scholarship of humanistic mathematics.
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 Sessions on Minority Issues  1996 AMS/MAA Joint Meetings, Orlando, FL
Excerpts from the program for the Joint Mathematics Meetings, January 1013, 1996, in Orlando, Florida: panel discussions and other relevant presentations.
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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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 The SET Home Page  Magliery, Weeks
A page "dedicated to the entertaining and highly addictive game of SET." The object of the game is to identify a 'Set' of three cards from 12 cards laid out on the table. Each card has a variation of the following four features: color, symbol, number
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 Set Theory and Foundations (MathPages)  Kevin Brown
About 30 "informal notes" by Kevin Brown on set theory and foundations: what is fuzzy logic, fractal logic, Cantor's diagonal proof, are all triangles isosceles?, on Gauss's mountains, problems with the luminiferous aether, and many more.
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 Setting Up A Web Site For Your School: An Online Presentation  George Cassutto
A presentation by George Cassutto of North Hagerstown High School, Maryland, first developed for online display at the 1996 MICCA Conference in Baltimore, MD, and expanded for use at the 1997 Connected Classroom Conference. Not meant to be a definitive,
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 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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 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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 Shadow Con  Champagne, Zak; Flynn, Mike; and Meyer, Dan
A teacherled mini conference hosted during the twilight hours of the 2015 annual meeting of the National Council of Teachers of Mathematics (NCTM) in Boston, MA. Shadow Con's six speakers each offered "a provocative call to action," with subsequent local
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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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 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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 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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 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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 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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 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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 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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 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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 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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 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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 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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 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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 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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