 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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 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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 Student's T Distribution  Balasubramanian Narasimhan
The t distributions were discovered in 1908 by William S. Gosset, a statistician employed by the Guinness brewing company, which had stipulated that he not publish under his own name. He therefore wrote under the pen name "Student." This page discusses
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 Studies In Mathematics: Web Discussion  Breindel, Clair; University of Chicago
The University of Chicago's alternative course to calculus. The first quarter is number theory, and the second quarter is geometry and symmetry. When Bryan Clair taught the courses, he covered the history of number systems, different base number systems
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 Studies in Nonlinear Dynamics and Econometrics  MIT Press, Society for Nonlinear Dynamics and Econometrics
Contents of the journal, 1996present: abstracts and bibliographies are on the Web; full text of articles (PDF format) is available to subscribers.
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 Studio 4 Learning Math  Studio 4 Networks Inc.
Free online videos that explain topics in algebra, basic math, calculus, differential equations, geometry, prealgebra, precalculus, statistics, and trigonometry. Join Studio 4 Learning's Tutor Corps to share videos of your own.
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 studio:ludens  Wouter Walmink and Alexander Rulkens
Free online tools that "let you play with your own creativity," designed by two Dutch industrial and interaction designers in Eindhoven. Create your own patterns with Repper; your own tessellating coasters with Epa:kato; your own fractals and other complex
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 Study Economics
Online copies of N. Gregory Mankiw's books Principles of Macroeconomics and Principles of Microeconomics and a tutorial by Daniel Christiansen on calculus and economics.
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 Studygeek.org
Lessons, video lessons, formulas, examples, and definitions for learning geometry, algebra, trigonometry, calculus, and statistics.
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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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 Stuff About Modelling  Lester F. Caudill, Jr., Univ. of Richmond, Virginia
Download a PDF of this informal introductory text for the author's course in Continuous Mathematical Models, including refreshers on single and multivariable calculus, linear algebra, and differential equations.
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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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 SuanShu  Haksun Li
An objectoriented numerical library of methods for building engineering software, conducting research, or prototyping. SuanShu shares many algorithms in common with Netlib and other public domain libraries, but has advanced them through refactoring
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 Subject:Mathematics  Wikibooks
This Wikimedia project for collaboratively writing opencontent textbooks also produces, under its Wikijunior project, ageappropriate nonfiction children's books illustrated with photographs, diagrams, sketches, and original drawings.
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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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 SuccessMaker mathematics courses  Pearson Education, Inc.
A learning environment combining a management system, assessment, and curriculum resources to provide administrators, teachers, and students with tools to improve academic performance. Also available from http://www.pearsonschool.com/index.cfm?locator=PSZk99.
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 Sudoku  Pappocom, aka Wayne Gould
Finish filling in the 9x9 grid so that every row, every column, and each of the nine 3x3 boxes contains the digits 1 through 9. Different from a magic square, this puzzle requires no arithmetic, only reasoning and logic to deduce which digit to put where.
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 A Su Doku solver
Solvers for sudoku puzzles, with documentation, source code, and binaries. Frequently asked questions about this numeric puzzle include "Su Doku" or "Sudoku"? How does the solver work? How do I compose a Su Doku problem? How few cells could appear on
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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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 Sudoku Widget  Brian DeBoer
Macintosh OS X users familiar with Dashboard use its miniapplications to perform common tasks and get fast access to information. The Sudoku Widget by Brian DeBoer generates random puzzles with four different levels of difficulty, has the option to show
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 SUMMA: Strengthening Underrepresented Minority Mathematics Achievement  Mathematical Association of America (MAA)
A program intended to increase the representation of minorities in the fields of mathematics, science and engineering and improve the education of minorities. Information about the program, its contributors and projects. Includes a database of biographies
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 Summer Institute in Mathematics for Undergraduates (SIMU)  University of Puerto Rico  Humacao
A sixweek research program in the mathematical sciences for undergraduate sophomores, juniors and seniors from across the U.S. and Puerto Rico. SIMU is designed for Chicano/Latino and Native American undergraduates, the populations served by the Society
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 Summer Mathematics Program for Women Undergraduates  Carleton/St. Olaf Colleges
An NSF/NSA funded program to encourage and support women in their study of mathematics. Goals include: introducing students to new areas of mathematics; honing students' mathematical reasoning, proof writing, problem solving, and presentation skills;
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 Summer Program for Women in Mathematics  Dept. of Mathematics, The George Washington University
A fiveweek intensive program for mathematicallytalented undergraduate women who are completing their junior year and may be contemplating graduate study in the mathematical sciences. Goals of this program are to communicate an enthusiasm for mathematics,
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 Sum of squares  Dario Alpern
An applet that decomposes any integer number up to 1000 digits long into a sum of four or less perfect squares.
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 Sundry Algebraic Geometry and Commutative Algebra Sites  B. Harbourne
A list of links to personal home pages of mathematicians working in algebraic geometry.
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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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 Superliminal  Daniel Green
Use the Tyler applet to create polygons of various sizes and attach them to edges of other polygons. Read about deltahedra, flexible polyhedra, and infinite polyhedra  figures made of an infinite number of polygons which would then fill all of space
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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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 Surface Distance Between Two Points of Latitude and Longitude  John A. Byers, United States Department of Agriculture  Agricultural Research Service
Enter the latitude and longitude of two points on Earth, and this JavaScript program returns the distance between the locations in kilometers, miles, and nautical miles. Similarly, calculate the great circle distances between over 300 cities. Download
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 Surface Plotter  Yanto Suryono
A Java applet that plots surfaces defined by explicit twovariable mathematical functions (i.e: z = f(x,y)). Surfaces thus plotted may be rotated in any direction.
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 Surfaces Beyond the Third Dimension  Thomas Banchoff
A site that documents an art exhibit hosted by the Providence, Rhode Island Art Club in 1996, featuring computergenerated artwork designed by Tom Banchoff in collaboration with Davide Cervone (now at Union College) and student associates at Brown University.
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 SURFSTAT australia  Keith Dear; National Centre for Epidemiology and Population Health, The Australian National University
An online text in introductory Statistics from the University of Newcastle. Contents: Summarizing and Presenting Data (Types of Variate; Presenting Discrete and Continuous Data; Charactistics of a Distribution; Measures of Central Tendency and Variability;
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 Surreal Films  Ivars Peterson  Science News Online
Mathematicians have worked out a geometrically optimal transformation that minimizes the energy required to exchange a sphere's inside and outside surfaces. See Selected Images from The Optiverse, a video by John Sullivan, George Francis, and Stuart
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 Survey of the Classes of 1997 Concerning Their High School Math Programs and How Well These Programs Prepared Them for College Math  Gregory F. Bachelis
A Bloomfield Hills School District (BHSD; Oakland County, Michigan) survey comparing the college performances of high school students with differing high school math programs, particularly in response to the the advent of the CorePlus Mathematics Project
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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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 Surviving College Algebra  Eric Saunders
A book intended to simplify college algebra for struggling students.
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 Swiss Mathematical Society
Membership information; conferences, jobs, news.
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 SyllabusWeb  Syllabus Press, Inc.
From the publishers of Syllabus Magazine, a technology magazine for high schools, colleges, and universities. Highlights of recent issues of the magazine and full text archives of all Press publications. The June 1995 issue covers telecommunications and
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 Syllogism 1.0  Ben Sharvy
Software to download. Enter a syllogism of any length. The program will tell you whether it is a valid syllogism, and if not, why not. It will also analyse the links between terms in the syllogism. BASIC code, and a version compiled for the Mac.
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 The Syllogistic Machine  Johan Mårtensson
A JavaScript machine for checking the properties of Aristotelian syllogisms, with links to Mårtensson's OnLine Logic Book.
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 Symbolab  EqsQuest
This semantic search engine for math and science considers the contextual meaning of equations and expressions. Query a mix of text and symbols with Symbolab's pad, which toggles among Greek letters, operators, differentials, and "accents" (vectors, hats,
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 Symbol, Form and Number in Ancient Egypt  Franz Gnaedinger
A book on early mathematics in Egypt, with some social and religious background. Includes a discussion of the use of Pythagorean triples in Egyptian architecture, and hypotheses on the calculation with unit fractions and the approximation of the area
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 Symbolic Computation Group (SCG)  Dept. of Computer Science, University of Waterloo, Ontario, Canada
SCG has as its primary goal the research and development of algorithms for computer algebra, including both symbolic computation and hybrid symbolicnumeric computation. The algorithms developed are incorporated into the Maple computer algebra system.
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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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 SymmeToy  Hank Hufnagel
A Windows program for creating paint patterns, symmetry roses, tessellated art, and symmetrically decorated 3D polyhedron models. The program is easy to learn, fun to use and includes extensive online help. Appropriate for all ages, but especially for
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 Symmetrica  Lehrstuhl Mathematik II, University of Bayreuth
A collection of routines, written in the programming language C, for doing computations in the representation theory of classical and symmetric groups, and related areas. With a list of papers that mention Symmetrica, and a collection of online programs
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 Symmetric Presentations  J. N. Bray
Presentations of groups, symmetric or otherwise, divided into classes to make location easier. Groups that have just one (finite) nonabelian composition factor up to isomorphism are listed in the first seven sections according to the isomorphism type
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 Symmetry and Group Theory (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
Computational and recreational geometry pointers to sites with information, problems, and lessons having to do with symmetry and group theory (tessellations, kaleidoscopes, origami, etc.).
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 Symmetry  Gyorgy Darvas
Organizations, events, publications, projects related to symmetry.
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