 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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 SelfTutoring Math Kit  MATHCO Educational Materials
All instruction is on cassette tape in both English and Spanish. The kit provides an Instruction Manual with explanations of over 50 mathematical objectives, including Place Value, Rounding Off, Operations of Whole Numbers, Decimals, Common Fractions,
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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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 Semple Math  Stevenson Learning Skills
Do you count on your fingers to add and subtract? Using a sequence of images, songs, rhymes, stories, associational clues, and other mnemonics to teach and build learning, Semple Math is a mathematics program for beginning, highrisk and/or remedial students
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 Senari Software  Senari Programs
Interactive computer programs for K10 math, including Math Flash Cards, The PreAlgebra Class, The Algebra Class, and The Geometry Class. Worksheet generators use randomly generated numbers to produce unique sheets. The scope of the generators ranges
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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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 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 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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 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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 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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 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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 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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 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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 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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 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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 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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 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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 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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 Show Your Thinking  Annie Forest
Blog by an instructional specialist in Illinois "passionate about giving all students an equitable math education, making thinking visible, purposeful tech, and teacher collaboration and reflection." Posts, which date back to October, 2013, have included
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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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 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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 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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 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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 The Significance of the NCTM Standards to the Pathways (NCREL)  Cathy Cook; Pathways to School Improvement
Critical Issues in Mathematics. The Standards represent a major effort to develop mathematically literate citizens. They should be viewed as facilitators of reform, rather than as a set of directives. They are designed to help schools achieve national
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 Significant Figures/Digits  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about scientific figures and scientific digits, such as "When are zeros significant and when are they not significant?"
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 Signing Science  National Technical Institute for the Deaf, TERC, Vcom3D
Along with the animated sign translator Sign Smith Player, SigningAvatar signs text in American Sign Language (ASL) or Signed English (SE). This research project plans to evaluate the extent to which the addition of signing promotes achievement of specific
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 SI Guide  James R. Frysinger
SI (International System) measurements and quantities, with pages for: a basic starter set of units and prefixes; the unit compendium (a more complete list); the prefix compendium (a complete list); rules on usage (spelling, capitalization, spacing, plurals,
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 The Silicon Mirror and Kaleidoscope  Elliot Leonard
The Silicon Mirror is an interactive tool for creating tessellations. It
operates on the same principles as a kaleidoscope. The Silicon Kaleidoscope is a screen saver that uses the Silicon Mirror to create kaleidoscopic images that flow in real time.
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