 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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 The Siluroid Curve  Dario de Judicibus
Formulas, graphs, compassandstraightedge constructions, derivatives, and more about this biquadratic, trilobate curve. Among the torpedo or fishshaped curve's curious properties: connecting its intersection with the generatrix or goniometric circle
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 SIMATH  Marc Conrad
A computer algebra system, especially for number theory. Try out the online version of the SIMATH calculator simcalc; a more detailed overview is available as a .dvi file or you can download the TeXSource of this file.
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 SimCalc Curriculum  James J. Kaput, Principal Investigator; Simulations for Calculus Learning
The SimCalc Project aims to democratize access to the Mathematics of Change for mainstream students. How the math of change can contextualize and organize many other important ideas already in the curriculum, moving to a strands structure that allows
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 SimCalc Library  James J. Kaput, Principal Investigator; Simulations for Calculus Learning
Papers and other writings on the SimCalc Project, which aims to democratize access to the Mathematics of Change for mainstream students: "Learning the Basics with Calculus"; "An introduction to the profound potential of connected algebra activities:issues
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 Simeon's World of Magic  Bob Fay
Interactive card tricks on the Web. Pick a card; whisper it out loud; Simeon will always remove it on the next page.
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 Similarity  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. Scaling multiplies lengths by the same factor and produces a similar figure. It
preserves angles and
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 Similarity (SMILE)  Natalia Kee, Harlan Community Academy High School
A lesson designed to teach students to discover the factor of proportionality in similar polygons and relate this factor to the perimeters and areas of similar polygons. From the Geometry and Measurement section of a collection of almost 200 single concept
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 SIMIODE  Brian Winkel, Director
This online community for teachers and students of differential equations provides a repository of refereed modeling scenarios, technique narratives, and sample syllabi; curated online texts and teaching materials; and project areas and spaces for active
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 SIMMS IM LEVEL I  Research Project Help  T. DeBuff
High School freshmanlevel integrated mathematics research projects, to be used with the Systemic Initiative for Montana Mathematics and Science Integrated Math (SIMMS IM), curriculum Level I. View project descriptions and find links to sites that will
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 Simon Plouffe  Simon Plouffe
Home page of Simon Plouffe, pi expert and originator of Plouffe's Inverter. Contains links to his articles and algorithms for his approximations of various constants.
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 Simons Foundation
This private foundation advances the frontiers of research in mathematics, theoretical computer science, and theoretical physics. Simons Foundation grants have established postdoctoral fellowships, promoted collaboration between researchers, created
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 Simple City  Richard Elwes
Website of the author of, among other books, Mathematics 1001, How to Build a Brain (Mathematics without the Boring Bits), and Chaotic Fishponds and Mirror Universes. Prior to lecturing at the University of Leeds, Elwes earned his PGCE (QTS) in secondary
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 Simple Minds, Smart Choices  Bruce Bower  Science News Online
The Center for Adaptive Behavior and Cognition at the Max Planck Institute for Human Development in Berlin has launched a project to explore the impact of bounded rationality on human judgment. The group focuses on what it calls "fast and frugal" formulas
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 Simple Online Tools  Solvid
Unit and currency converters, calculators, a random number generator, and more.
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 Simplex Place  Moshe Sniedovich; Dept. of Mathematics & Statistics, Univ. of Melbourne
An introductory discussion of the Simplex Method used in linear programming problems, with a JavaScript "Simplex Machine" for you to experiment or solve a problem with. Also check out the DP Virtual Studio for a variety of wellknown dynamic programming
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 Simplified Solutions for Math
Curricula (lesson plans, pratice work sheets and tests) for Algebra, CAHSEE, and General Math, aligned to the California Department of Education's Mathematics Framework for California Public Schools.
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 Simplifying Equations of the Form ax+b=cx+d (SMILE)  William F. Wagner, Hyde Park Career Academy
A lesson designed to teach students to solve equations of the form ax+b=cx+d; and to visualize the concept of "balancing" an equation. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Simply Numbers
A Windows 95/98 program designed to improve children's arithmetic skills while making math fun. The game drills players in addition, subtraction, multiplication, or division questions at four levels.
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 Simply Statistics  Leek, Jeff; Peng, Roger; and Irizarry, Rafa
Biostatistics professors Leek, Peng, and Irizarry "are fired up about the new era where data are abundant and statisticians are scientists." Their blog, which dates back to September, 2011, has included posts such as "Precog and stats," "Kindle Fire
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 simpsonsmath.com  Sarah J. Greenwald and Andrew Nestler
The animated sitcom The Simpsons "contains over a hundred instances of mathematics, many designed to expose and poke fun at innumeracy," which make it "an ideal source of fun ways to introduce important concepts to students, and to reduce math anxiety
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 Simtel.Net  Digital River, Inc
A distribution network for shareware, freeware, and public domain software. Browse or search for programs running on the platforms of Windows 95/98, DOS, or Windows 3.x. Windows 95/98 mathrelated programs range from abacus instructional packages to an
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 Simul8  Simul8 Corporation
Developers of SIMUL8, for discrete event simulation. The company’s products include the plugins: SIMUL8 Profit, SIMUL8 OPTIMIZ, SIMUL8 TimeView, SIMUL8 Transport, SIMUL8 Process, and SIMUL8 Animation for VISIO.
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 Simulacion 4.0 (Monte Carlo Simulation)  José Varela
A flexible, easytouse simulation tool, Simulación 4.0 was fully developed in VBA (Visual Basic for Applications) and is compatible with Excel 97 and above. Features: 34 random number functions; simulation with the Monte Carlo method, between 1  65,000
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 Simulating Probability Situations Using Box Models (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. Investigations that allow students to explore the relationship between theoretical and experimental probabilities are important in the study of probability and statistics. A "box model" can help students
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 Simulating Society  Ivars Peterson (MathTrek)
Computer simulation offers a powerful tool for studying human social behavior, contends Richard J. Gaylord of the University of Illinois at UrbanaChampaign. A theoretical physicist turned computational sociologist, Gaylord has developed models of social
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 Simulations & Demos  Rice Virtual Lab in Statistics
An integrated set of simulations, demonstrations, and case studies from the Data Analysis Lab (choose statistical analyses: Descriptive; Histogram; Boxplot; Stem and Leaf; ttests; Correlation and regression; ANOVA). Simulations include Java applets that
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 Simulations Nab Proteinfolding Mistakes  Ivars Peterson  Science News Online
The human body manufactures thousands of different proteins, which act as enzymes, structural elements, or carriers. Each protein starts out as a long strand that must fold itself into the proper shape to perform its specific function. To gain insights
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 Simultaneous Perturbation Method for Optimization  James C. Spall
A site devoted to a powerful method for optimization of processes dependent on more than one variable. The method pertains to "stochastic optimization," that is, optimization in the presence of random variation (such as measurement noise). The site provides
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 The Sine Function (SMILE)  Ronald G. Sienkiewicz, Prosser Vocational High School
A lesson designed to familiarize students with the concept of the sine function by defining, graphing, computer generating, using a "shop created" blackboard sine wave generator, and by presenting examples of natural phenomena which result in sine wave
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 Sine of the Times: Dividing the Universe by Zero  Colin Graham
A collection of thoughts on math by an "eternal student" with an "eclectic educational background." Posts, which date back to June, 2010, have included "Creative ways of integrating more water in the body," "My first online manipulative  virtual origami,"
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 Sines and Cosines, Part 1 (Periodic functions)  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. Sines and cosines occur as rectangular coordinates of a point moving on a unit circle, as graphs related
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 Sines and Cosines, Part 2 (Trigonometry)  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. This program focuses on trigonometry, with special emphasis on the law of cosines and the law of sines,
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 Sines and Cosines, Part 3 (Addition formulas)  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. Animation relates the sine and cosine of an angle with chord lengths of a circle, as explained in Ptolemy's
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 The Singapore Math Coach  Tricia Salerno
Problems of the week based on the Singapore math approach. Students with correct answers can see their names on the web. Site includes some program information as well.
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 SingaporeMath.com Inc.
Formerly "Family Things," this family business located in Oregon, USA provides information, sample pages, and ordering information for the Singapore mathematics and science curricula, with sample placement tests for the New Elementary Math Series, sample
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 Singapore Math  Yan Kow Cheong
News and updates on Singapore Math from Cheong, a math coach, writer, editor, and life member of the Singapore Mathematical Society (SMS) and the Association of Mathematics Educators (AME) whose author credits include "Mathematical Quickies & Trickies."
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 singingbanana.com  James Grime
YouTube videos, "lazy microblog," and social networking hub of Enigma Project Officer James Grime, who "hopes to explain to kids and general audiences why he love his maths so much, to challenge some of the public's misconceptions, and to explain why
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 SINGULAR  Greuel, Pfister, Schoenemann; Dept. of Mathematics, Univ. of Kaiserslautern
A computer algebra system for polynomial computations, with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
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 SINUS transfer  University of Bayreuth
Spurred by the outcome of the Trends in International Mathematics and Science Study (TIMSS), Germany launched a nationwide "model programme for increasing efficiency in mathematics and science education." Between 1998 and 2007, more than 1800 of the
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 Sir Roger Penrose  World of Escher
Recreational math is the passion of Sir Roger Penrose, who was recently knighted for his outstanding contributions to mathematics. Penrose is a professor of mathematics at the University of Oxford in England, where he pursues an active interest in recreational
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 Sir William Rowan Hamilton  D.R. Wilkins; School of Mathematics, Trinity College, Dublin
Material relating to Sir William Rowan Hamilton, including his letters and papers describing mathematical optics and conical refraction, dynamics, the theory of algebraic couples (complex numbers), the theory of equations, and quaternions; a memorial
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 SISA: Simple Interactive Statistical Analysis  Daan Uitenbroek
SISA is a collection of procedures for performing simple statistical calculations online, using HTML Forms. SISA's statistical tools include statistical procedures: (sequential probability, ratios, ttest, Fisher exact, two by two table, ordinal tests,
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 The SISL Nurbs Library  SINTEF Applied Mathematics
A library of NonUniform Rational BSplines (NURBS) software, developed and
maintained by the Department of Geometric Modelling at SINTEF Applied Mathematics. The SIntef Spline Library (SISL) contains all the necessary functionality for building applications
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 A Site For Cyber Eyes  BZLeonard
Fractals, graphics, photos and altered photos, 3D graphics, links, Sherman's Humor Column, and Ginger's Diary (A teenager describes being bombed by the Japanese on December 7, 1941).
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 Sites Dedicated to Teaching of Mathematics (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
Links to sites that contain materials (other than software) useful in the teaching of mathematics at the community college, college and university levels. (For a similar listing of K12 sites, check out the Mathematics Archives K12 Home Page.)
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 Sites with Problems Administered by Others  Math Forum
Problems of the week or month: a page of annotated links to weekly/monthly problem challenges and archives hosted at the Math Forum but administered by others, and to problems and archives elsewhere on the Web, colorcoded for the level(s) of the problems
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 SketchAndCalc™
On interactive graph paper, sketch straight lines by clicking the pencil icon — or curved ones by selecting the fountain pen nib — then login to calculate the area and perimeter of the shapes constructed. The gear icon in the upperright corner
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 Sketches for Cabri Geomètre (v. 1)  L. J. Dickey, University of Waterloo
Cabri Geomètre (the original version of of the program) figures to download (binhexed): Conic Given by Five Points; Ten Sketches of Desargues Theorem; Harmonic Conjugates; The Inverse of a Circle; The Inverse of a Line; The Inverse of a Point;
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 Sketches of Topology  Kenneth Baker
Visualizations, often created with Sketchup, of low dimensional topology. Blog posts, which date back to November, 2007, have included "Twisted Saddles," "Scharlemann cycles," "Long Disks and Lopsided Bigons," "Ko Honda's Octahedral Relation," "Berge
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