 Some Planar Isospectral Domains  Buser, Conway, Doyle, Semmler
A paper on isospectral pairs of plane domains, and a particularly simple method of proving isospectrality. One example is a pair of domains that are not only isospectral but homophonic, showing that one really can't hear the shape of a drum. With a gallery
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 Some Problems in Matroid Theory  Thomas Zaslavsky
Sources of problems compiled by Zaslavsky, and problems he's found interesting: Bonin's Projective Bound; Maximum rFlat; Covering And Packing by Flats. For general sources of information on matroid theory, see Matroid Miscellany.
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 Some Problems & Puzzles  Nancy Casey
Problems inspired by math books (Instant insanity; Penrose rhombs) and friends Larry Copes and Mike Fellows (BikePed, Idaho  also known as Muddy City).
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 Some Psychological Aspects of Developing Computer Based Instruction in Undergraduate Advanced Mathematics  Mikhail Bouniaev
A summary of a presentation given at the Joint Mathematics Meetings, January 1013, 1996, Orlando, Florida. The paper deals with research on teaching advanced math using theory of stagebystage development of actions. Since this theory is not very well
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 Some Puzzles I've Solved  Sidney Cadot
Notes and observations on the games Peg Solitaire, the Bedlam Cube, the Bart Salters Puzzle, a dominolike puzzle by Rubik. Also, a text list of solutions to the 24 Game.
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 Some Solid (Threedimensional) Geometrical Facts about the Golden Section  Ron Knott
Phi and threedimensional geometry  Dice Shapes; Coordinates and other statistics of the 5 Platonic Solids; The Greeks and the platonic solids; Quasicrystals and Phi; Footnotes on Plato and Euclid, and on shapes for fair dice.
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 Some Things I've Written  Jennifer Gutbezahl
Research from the author's doctoral studies in social psychology. Gutbezahl's dissertation focused on how attributions for success and failure in mathematics affect how well students do in math class: "How Negative Expectancies and Attitudes Undermine
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 Some Thoughts on Measurement  Harold Brochmann
All measurements inherently have limited precision; it isn't sensible to give credence to measurements if you are dealing with a piece of ordinary paper and an ordinary wooden or plastic ruler, no matter how careful the person measuring has been. This
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 Sometimes We Learn Some Math Too  Jacqueline Sheppet
Blog by a high school teacher in British Columbia. Posts, which date back to September, 2014, have included "Purple is the new math," "Forming a formative mindset," "A formula to understand," and "Do the ends justify the means?"
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 Some (Unsolved) Mathematical Problems  Jörg Winkelmann
A collection of some analysis questions the author encountered in the context of his own research.
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 Some Variations on the Theme of Polyominos  Recmath
Patterns that illustrate how the squares of polyominos are connected to each other. Examples of polyominos with a grid superimposed to illustrate the individual squares; with a line that joins the midpoint of two adjacent square if the squares are connected.
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 Sommer Cube  Michael Sommer
The faces of the modular Sommer Cube (S3) feed into twisted conduits that comprise a threedimensional, tunnelling maze. The website provides example arrangements and construction questions such as "Given that a ball must exit at the lowest S3 level and
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 So Much Data  William D. May
Based on the book So Much Data, So Little Math, tools for learning to do simple data analysis on data sets. Features the online calculation tools "Easy Correlation Calculations" and "Easy Trend Prediction," with explanations, as well as an example of
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 sonata mathematique  Rachel Kernodle
Blog by a high school math and learning specialist. Posts, which date back to June, 2011, have included "twitter math camp," "mathematical art," "i also want you to learn…," and "rational functions take two."
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 A Song About Pi  Ivars Peterson (MathTrek)
A short biography of Irving Kaplansky, Director Emeritus of the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA, and his analysis of the structure of complex songs.
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 Songs for Teaching  S. Ruth Harris, LLC
Lyrics to music that teaches or reinforces math facts and concepts, including addition, subtraction, multiplication, division, algebra, and geometry. Some songs have links to sound files as well.
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 Songs that Teach Math  Twin Sisters IP, LLC
Songs for learning numbers and counting, addition, subtraction, multiplication, and division, available as mp3 singles or "Rap with the Facts" albums. More music available from http://www.smartvlearning.com/musicdownloadsmathcat.html
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 Sophie's Diary  Dora Musielak
Historical fiction based on mathematician Sophie Germain. Site includes book excerpts, a Spanish version of the main page, a press release, information about the author, favorite links, contact information, and illustrations from the book of Paris in
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 Soroban in Various Number Systems  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java simulation of Sorobanthe Japanese analogue of the traditional abacus and the Chinese Suan Pan. This is the most economical tool of the three.
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 sortedsums  D. J. Bernstein
A collection of tools for enumerating small solutions to certain types of Diophantine equations. Includes links to the latest published sortedsums package, and to a paper explaining the algorithms used.
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 Sorting and Analyzing (SMILE)  Vickie Townsend, Crown Fine Arts Community Academy
A K12 lesson designed to teach students to sort, compare, and analyze through exploring, observing, and examining concrete objects, and to recognize a bar graph. From the Patterns and Logic section of a collection of almost 200 single concept lessons
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 Sorting Pennies, A Wagering Activity for Algebra 1 (SMILE)  David Drymiller, Marie Sklodowska Curie Metro High School
A lesson designed to abstract the idea of a line; introduce other methods of solving simultaneous equations besides graphing; and to develop problem solving skills. From the Algebra and Trigonometry section of a collection of almost 200 single concept
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 Sorting Through Life! (SMILE)  Barbette Flennoy, Joseph Stockton School
A Kindergarten lesson designed to teach students how to sort objects by recognizing their attributes and, if possible, relate them to life. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 S.O.S. Mathematics  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
Internet courses/tutorials to help students do homework, prepare for a test, or get ready for a class. The material presented here reviews the most important results, techniques and formulas in college and precollege mathematics. The learning units are
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 The Source of UK Facts and Figures  Government Statistical Service, Office for National Statistics, UK
The information you need to access UK statistics. Links to: The Campion Fellowship in Official Statistics; Population Trends 98  reference and report tables; Quarterly Civil Service Staff in Post; UK in Figures 1999; Scottish Statistics Publications;
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 Source Panel Integrals / Java Matrix Solver  Marc Gerritsma, Jamie Grier
The source panel integrals Javascript can be used to calculate the integrals and the matrix elements of the source panel method (see sec 3.17 of Fundamentals of Aerodynamics, 2nd edition, by J.D. Anderson, jr.). The Java matrix solver can be used to solve
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 Sources in the history of algebra: arithmetical and recreational problems  Albrecht Heeffer
A comprehensive database of arithmetical and algebraical problems from sources before the 18th century, for research and educational use.
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 Southeast Applied Analysis Center (SAAC)  School of Mathematics, Georgia Tech
A centralized location to coordinate activities in applied analysis in the
Southeastern United States, fostering academic research, applied mathematical research in industrial settings, and educational innovations. The present departmental strengths
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 Southeast Regional Climate Center  Water Resources Division, South Carolina Department of Natural Resources
Home site for CIRRUS, the Climate Interactive Rapid Retrieval System, an educational medium that provides economically and environmentally important climatic information. The system gives students the opportunity to observe and analyze the weather on
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 The Southwest Center for Arithmetic Geometry  Romyar Sharifi, Principal Investigator
In this intensive fivedaylong school, advanced graduate students work closely with senior faculty and postdoctoral fellows — not as individual researchers presenting their work in relative isolation, but in highly participatory, extended courses
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 Southwest Educational Development Laboratory (SEDL)
The regional education laboratory serving Arkansas, Louisiana, New Mexico, Oklahoma, and Texas. Conducts applied research and development, delivers training, and provides technical assistance to K12 educators and decision makers. Topics: Improving Classroom
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 Southwest Journal of Pure and Applied Mathematics  Ioannis Argyros, EditorinChief
The Southwest Journal of Pure and Applied Mathematics (SWJPAM) is an electronic journal devoted to all aspects of pure and applied mathematics, and related topics. Electronic issues date back to 1995, and are available for download in postscript, compressed
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 Sovel PreAlgebra Class  Barry Sovel
In mathematics, we can use the term 'rule', but in reality, there are no rules, only proofs; therefore, we must be able to demonstrate and prove each mathematical statement and expression before we can apply the tag 'rule' to it. Five such demonstrations
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 The Space Between the Numbers  Breedeen Murray
Blog by a math teacher and writer "about how these two aspects are inextricably linked together in my own person, and maybe in yours, too." Posts, which date back to June, 2010, have included "PinkSlip to Private School," "SBG, Hold the G," "A Different
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 SpaceBric
Tetrahedral linking blocks and design software using that shape. Download trial versions of the software or get the fullyfeatured versions with a registration key. Blocks may be purchased on line as well. SpaceBric also offers school fundraising and
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 Space Day 2003  Celebrating the Future of Flight
Space Day 2003 honors the past 100 years of aviation and aerospace accomplishments. On May 1, 2003, teachers, students and space enthusiasts around the world can participate in Cyber Space Day, an interactive Webcast entirely devoted to science, space
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 Space Educators' Handbook  Jerry Woodfill, NASA Johnson Space Center
For Mac or PC: programs that include more than 2000 files interactively linked for ease of learning about NASA, space science, space history, and space technology. Many well designed and extensively educational files are available from this Web site,
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 Space Figures and Basic Solids  Mark Motyka, Math League Multimedia
Definitions and illustrations of "space figures" and information on crosssection, volume and surface area for the following: cube, cylinder, sphere, cone, pyramid, tetrahedron, and prism.
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 SpaceFilling Designs  Edwin van Dam, Dick den Hertog, Bart Husslage, Gijs Rennen; Tilburg University, the Netherlands
Free online database of spacefilling designs for (computer) experiments. Includes maximin, nested maximin, and minimax designs, as well as a bibliography and links to other web sites. All designs on this website may be downloaded and used free of charge,
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 Space Math  Dr. Sten Odenwald
NASA offers realworld problems about astronomy and space science, for students in grades 68 and 912. The problems are in PDF format, and searchable. They are often based on press releases and cover topics from black holes to space weather and the search
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 Space Science and Engineering Center (SSEC) Visualization Project  Bill Hibbard
The SSEC Visualization Project makes the Vis5D and VisAD systems freely available over the Internet. Vis5D provides interactive visualization of the output of numerical simulations of the Earth's atmosphere and oceans. VisAD enables scientists to interactively
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 SpaceShape  Matt Storz
SpaceShape is a Windows95 program that allows various 3D shapes to be created and then flattened so that a pattern can be printed to make a model of the 3D shape. Various 3D shapes are supplied with the program (octahedron, dodecahedron, icosahedron,
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 SpaceTime  Chris and Stephen DeSalvo
SpaceTime develops mathematics software for personal digital assistants (PDAs) and other mobile devices such as Pocket PCs, Palm Pilots, and smartphones. Play JavaScript and Flash games in the arcade: ArithmeTick, Math Scramble, Math Mountain, Snake,
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 Space Time Travel  Ute Kraus and Corvin Zahn (Theoretische Astrophysik Tübingen)
Black holes and travel at nearly the speed of light: Visualization of the theory of relativity. Online papers, images, movies and paper models. English version of the German site.
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 Spanky Fractal Database  Noel Giffin
A collection of fractals and fractalrelated material for free distribution on the net. Most of the software has been gathered from various ftp sites on the Internet and is freeware or shareware. Contents: An index of Fractal material; General information;
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 Spark! Learning Lab  Putnam Museum
This permanent exhibit at Davenport's science museum features a gravity wall, Bernoulli blower, SMARTboard technologies, and other handson exhibits for exploring the science, technology, engineering and mathematics (STEM) of electrical circuits, construction
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 SPA Software
A U.K.based software company, makers of educational software in several subjects including mathematics.
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 Spatial Geometry  Nima Bigdely; NIMA Software Group
3D display software, designed to help students visualize spatial geometry. Shareware for Win95/98/ME/2000/NT/XP. Download available online.
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 Spatial Intelligence and Learning Center
The Spatial Intelligence and Learning Center (SILC) researches spatial learning and develops educational programs and technologies. Every month, the SILC showcase highlights research by different members, who include cognitive scientists, psychologists,
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 Spatialised Prisoner's Dilemma: Evolution Simulator  Wayne Davis
Spatialised version of the Iterated Prisoner's Dilemma game theory that allows the users to set their own strategies and simulate evolution of strategies: Coded in Javascript by Wayne Davis.
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