 Stellated Icosahedra  Roman Maeder
An excerpt of an article published in Mathematica in Education. There are 59 stellations of the icosahedron; these pages contain various images of them, ordered by increasing circumradius, and some background information. The metric properties and graphics
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 Stephen Wolfram
The creator of Mathematica and one of the first researchers into cellular automata. Site includes a biographical sketch, photos, and a timeline of Wolfram's life; interviews with him; and the full text of many of his books, articles, talks, and patents.
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 Steve Fulling's Home Page  Stephen A. Fulling
Courses in Foundation Coalition Freshman Calculus, linearity, and other subjects offer objectives, assignments, solutions and reports, exams, and supporting documentation such as books (.pdf, .ps, and .dvi formats). The site also includes access to the
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 Steve Leinwand
Publications, presentations, blog, and more by a Principal Research Analyst at American Institutes for Research (AIR). Freely download articles such as "Moving Mathematics Out of Mediocrity," "High Leverage Mathematics Instruction Practices," "Making
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 Steven M. Christensen and Associates, Inc.  Steven M. Christensen and Associates, Inc.
Offers scientific computing consulting and program development for corporations and universities. Also distributes Schur, a group theory software for handling calculations with Lie and symmetric groups; and Sunfreeware.com, the Solaris Freeware Project.
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 Steven Strogatz
Research, teaching, publications and more by Strogatz, Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. Best known in the academia for his 1998 Nature paper on "smallworld" networks, which he coauthored with his former student
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 Steven Strogatz  The New York Times Company
Mathematics from an adult perspective  from the basics of math to the baffling  by Steven Strogatz, a professor of applied mathematics at Cornell University. This New York Times series is not meant to be remedial, but rather to give readers a better
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 The Stirling EngineRefrigerator: Rich Pedagogy from Applied Physics  Randall D. Peters
An article detailing experiments with a Stirling engine. Abstract: A Stirling engine of the type used for demonstration purposes has been outfitted with a pair of sensors that measure pressure and piston displacement when the engine is operating with
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 StopandGo Science  P. Weiss  Science News Online
Viewing traffic flow as a complex system, controllers use mathematical and computer models and simulations in an attempt to decrease congestion. Some computerbased traffic models simulate virtual vehicles that motor by the hundreds or thousands through
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 The Strange Case of Emily X  Keith Devlin (Devlin's Angle)
The story of Emily, a mathematical genius in high school who disappeared for 5 years and returned with even greater mathematical ability, and then wrote an autobiography, My Lost Years. An excerpt from Devlin's book, The Math Gene: How Mathematical Thinking
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 Strange Orbits  Ivars Peterson (MathTrek)
Newton's laws provide a precise answer to the problem of determining the motion of two bodies under the influence of gravity. If the solar system consisted of the sun and a single planet, for example, the planet would follow an elliptical orbit. When
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 A Stranger from Spaceland  Ivars Peterson (MathTrek)
An essay about Flatland, Edwin A. Abbott's 1884 "doorway to the fourth dimension and beyond for many explorers of geometry," and "a sharply delineated satire that reflects widely debated social issues in Victorian Britain," particularly women's rights.
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 Strategic Directions in Computer Science Education  Allen B. Tucker, Bowdoin College, Editor
From ACM Computing Surveys, 1996. Abstract: This report identifies major issues and challenges in computer science education across a wide range of institutions. It includes suggestions for improving the quality and effectiveness of computer science and
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 Strategy Acquisition and Application (Learning and Mathematics)  Siegler, Jenkins; Math Forum
In this 1989 article, "Strategy Discovery and Strategy Generalization," Robert S. Siegler and Eric Jenkins of CarnegieMellon University discuss how children acquire and apply strategies, looking closely at a small group of students over a long period
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 Strategy and Conflict: An Introductory Sketch of Game Theory  Roger A. McCain
Game theory is an interdisciplinary approach to studying human behavior that touches on computer science, social sciences, and behavioral sciences. Designed as a supplement to existing texts as a means of making the basic ideas a bit more accessible,
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 Student Calculus Projects  David Arnold; Mathematics Dept., College of the Redwoods, CA
HTML or Scientific Notebook files. Topics: Equiangular Spiral; Semicubic Parabola; Nephroid; Astroid; Witch of Agnesi; Deltoid; Cassinian Oval; Equiangular Spiral; Quadratix; Ellipse; Conchoid of Nicomedes; Archimedes Spiral; Cardiod; Bernoulli's Lemniscate;
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 Student Projects in Differential Equations  David Arnold; Mathematics Dept., College of the Redwoods, CA
PDF or Scientific Notebook files. Topics: Romeo and Juliet; Modeling Molecular Vibrations; Van Meergeren Art Forgeries; The Flight of a Discus; A Simple Microeconomics Model; An RLC Circuit; Autocatalytic Modeling; A Rate of Memorization Model; Tacoma
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 Student Projects in Linear Algebra  David Arnold; Mathematics Dept., College of the Redwoods, CA
PDF or Scientific Notebook files. Topics: Fractal Music; Hill Ciphers; Forest Management  Sustainable Harvesting; The Singular Value Decomposition in Image Compression; Spotted Owl Population; Fourier Series; Arnold's Cat Map; Image Compression with
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 Students' difficulties with proof  Annie and John Selden; Mathematical Association of America
Keith Weber overviews research that addresses questions such as "What is proof and what is its role in mathematics?" and "How can the concept of proof be taught effectively?" Difficulties that students have with proofs include inadequate cognitive development,
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 Student's Difficulties with Proof  Keith Weber; Mathematical Association of America
"Proof is a notoriously difficult mathematical concept for students. Empirical studies have shown that many students emerge from prooforiented courses ... unable to construct anything beyond very trivial proofs. Furthermore, most university students
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 Students' Interest for and Work with AppletEnhanced Word Problems  Renninger, Sinclair, Hand, Stohl, Alejandre, and Underwood
Article from the International Conference on Learning Sciences archive, Proceedings of the 6th international conference on Learning sciences. Abstract: Study of student interest for and work with interactive nonroutine mathematics problems (ESCOT Problems
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 Student standouts tackle ills, theorems  P. Weiss  Science News Online
A project by a young mathematician who proved five theorems also garnered highest honors at the 1999 Intel International Science and Engineering Fair.
Jennifer Pelka, 16, of Orlando, Fla., received a $40,000 scholarship for her mathematics project, which
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 Studying Dimensionality through a StairStep Fractal  Burrill, Frost, Anderson, Burkett, Gribble, Ryerson, & Williams
A background paper and a related classroom activity about a lesson studyproduced activity on using a stairstep fractal to study other dimensions.
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 Study of Mathematically Precocious Youth  Camilla P. Benbow and David Lubinski, codirectors; Peabody College, Vanderbilt University
This 50year longitudinal study of over 5,000 intellectually talented individuals aims to improve understanding of the unique needs of intellectually precocious youth and determine the contrasting developmental trajectories that they display over their
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 SturmLiouville Problems: SLEIGN2  Bailey, Everitt, Zettl, Garbow
A code to compute eigenvalues and eigenfunctions, and to approximate the continuous spectrum of regular and singular SturmLiouville (SL) problems. These problems consist of a second order linear differential equation (py')' + qy = (lambda) w y on (a,b)
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 Subtle Logic, Winning Game  Ivars Peterson (MathTrek)
Seemingly simple games can serve as thoughtprovoking exercises in mathematical logic. They can provide deep insights into subtle issues that confront logicians who are interested in the foundations of mathematics. Socalled Ehrenfeucht games have proved
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 Sudoku Squares and Chromatic Polynomials [PDF file]  Agnes M. Herzberg and M. Ram Murty
"Have you ever been trying to solve a Sudoku puzzle and been gripped by a sinking feeling that maybe you were stuck with a lemon? That maybe the puzzle you are struggling with actually has no solution at all? And, if you do find a solution, how can you
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 Super Bowls and Stock Markets  Ivars Peterson (MathTrek)
The Super Bowl "theory" links U.S. stock market performance to the results of the championship football game held each January since 1967. It holds that if a team from the original National Football League wins the title, the stock market
increases
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 Supermarket Math  Keith Devlin (Devlin's Angle)
Is it really possible to acquire skills  mathematical or otherwise  in a decontextualized fashion in a classroom setting, then make use of those skills in any reallife situation that may require them? The assumption that this is indeed possible is
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 Supporting Cyber Students Over the Web  Philip Uys
Publications of Phillip Uys whose interests include open learning and distance education via the Internet and intranets ie networked education and its application. Papers include: "Supporting Cyber Students Over The Web: The Online Campus of Massey University
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 Supporting SenseMaking and Perseverance  Suzanne Alejandre
Article about how the Math Forum's noticing and wondering not only values each learner, it "also works to engage all learners in finding their mathematical voice." Originally published in the March, 2013, issue of the CMC ComMuniCator, journal of the
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 A Survey of Venn Diagrams  Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada
Facts and figures about Venn diagrams, particularly as they relate to combinatorial properties of the diagrams: Who was John Venn? What is a Venn diagram? Formal definition of Venn diagrams; General constructions of Venn diagrams. Also Graphs associated
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 Susan C. Levine  The University of Chicago
Biography, courses, and more about Levine, the codirector of the Center for Early Childhood Research. Her freely downloadable articles include "Early puzzle play: A predictor of preschoolers' mental rotation skill"; "The role of parents and teachers
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 Sybilla Beckmann Kazez
Biography, books, projects, papers, and presentations of the Josiah Meigs Distinguished Teaching Professor of Mathematics at the University of Georgia (UGA). Originally researching arithmetic geometry, Beckmann now considers the mathematical education
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 SymbolicNet: Symbolic Mathematical Computation Information Center  ICM; Kent State University
The area of Symbolic and Algebraic Computation (SAC), also known as Computer Algebra (CA), aims to automate mathematical computations of all sorts. SAC research usually combines mathematics with advanced computing techniques. This site includes: introductory
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 Symbolic Solutions Group  Erich Kaltofen
The Symbolic Solutions Group is a group of researchers in computer algebra and related subjects at North Carolina State University. Their articles are available for download, usually in PostScript format, via FTP.
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 Symmetrier, monstre & tesselationer med The Geometer's Sketchpad  Allan Bergmann Jensen, Kalundborg, Denmark
GSP Symmetries, Patterns and Tessellations. Contains a gallery of wallpaper designs constructed using the Geometer's Sketchpad with JavaSketchpad versions to explore, an illustrated paper on "The Math About Symmetries" (in Danish), a GSP guide, a links
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 Symmetries and the Millennium (Math Chat)  Frank Morgan; Christian Science Monitor
What are the symmetries of a cube in space? What about a hypercube in 4 dimensional space?
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 Taking Games Seriously  Cut the Knot!, Alexander Bogomolny
In the twenty years since it first appeared, Winning Ways for Your Mathematical Plays had become a classic and a rarity. So did its companion book, On Numbers And Games, which was written in just about a week by one of the WW's authors and saw the light
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 Tangencies of Circles and of Spheres: Radii Solutions  Eugene F. Dearing; Dearing Aviation
New methods of finding the radii of circles tangent to three given circles, (Apollonius' Problem), and the radii of spheres tangent to four given spheres, (Apollonius' Problem in three dimensions). Download the article in zipped format, or view it online.
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 TaniyamaShimura Conjecture Proved (Math Chat)  Frank Morgan, MAA Online
A proof of the full TaniyamaShimura conjecture, partly included in Wiles's 1994 proof of Fermat's Last Theorem, was announced last week [June, 1999] at a conference in Park City, Utah, by Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor,
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 A Taste for M&Ms  Ivars Peterson (MathLand)
The package of M&M's chocolate candies (plain) I had just opened contained 56 colorful, little oblate spheroids. It was obvious from a quick glance that certain colors were more common than others in this sample of M&M's. I counted up each color
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 Taxicab Angles and Trigonometry  Thompson, Dray
Taxicab geometry is essentially the study of an ideal city with all roads
running horizontal or vertical. The roads must be used to get from point A to point B; thus, the normal Euclidean distance function in the plane needs to be modified. Article abstract:
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 TCWORLD: Online Resource for Technology Coordinators
A monthly publication of articles on exceptional uses of technology in schools, software reviews, technology policies, computer setup tips and techniques, security methods, opinions on integration and access, purchasing tips, a newsletter, and more.
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 The Teacher as Facilitator  Classroom Compass
The spring 1994 issue of Classroom Compass, Working for Reform, looks at the idea of teacher as facilitator  a basic part of the reformed classroom. Two classroom activities (one for young children, Mud Slide, the other for later grades, Stream Works)
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 Teacher Education and Professional Development  Mathematics Education at the Math Forum
New ideas and pedagogy: articles, conference sessions, centers, and courses on the Web for preservice education, inservice education, and the college and university level.
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 Teacher Education Materials Project (TEMAT)  Horizon Research, Inc. (HRI)
A site for K12 professional development providers, with a conceptual framework "Designing Effective Professional Development" (short essays on: Understanding the Needs of the Target Audience; Deciding on the Purposes of the Professional Development;
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 Teacher Learning That Supports Student Learning  Linda DarlingHammond
"What do teachers need to know to teach all students according to today's standards? What kinds of preservice training and ongoing professional development will make teacher success more likely?" Article from Educational Leadership, February 1998, Volume
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 Teacher Quality and Student Achievement: A Review of State Policy Evidence  Linda DarlingHammond
From Education Policy Analysis Archives, Vol. 8, No. 1, January, 2000. Abstract: Using data from a 50state survey of policies, state case study analyses, the 199394 Schools and Staffing Surveys (SASS), and the National Assessment of Educational Progress
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 Teachers Becoming SelfDirected Learners: A Work in Progress  Horwitz, Hallam; Eisenhower National Clearinghouse
How the Annenberg Tuning Protocol is used by the PennMerck Collaborative for Science Education to foster a constructivist view of learning with reflective, internally motivated practitioners. The program involves a 13month graduate course designed to
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