 Samuel Arbesman
Research and writings by the author of The HalfLife of Facts. As an applied mathematician and network scientist, Arbesman's delves into the science of science, nature of productivity and prosocial behavior within cities, the structure and function of
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 The Sands of Time  Troy Jones
The author uses ridges in piles of salt to model geometric concepts. This page features an article (PDF format), PowerPoint presentation, Geometer's Sketchpad file, and textbook reference for a classroom exploration of such concepts.
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 Sangaku, Japanese Temple Geometry  Tony Rothman, Princeton University
For centuries in Buddhist and Shinto shrines, Japanese have hung wooden tablets containing mathematical problems. Read PDF or PS downloads of a tutorial on the inversion method for solving Sangaku, or of the article "Japanese Temple Geometry," which first
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 Sangaku: Reflections on the Phenomenon  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of sangaku problems with Java simulations and complete solutions, preceded by an introductory article that promotes an unorthodox view point on the wonderful phenomenon of Temple Geometry.
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 The Saqquara Ostrakon  A. D. Conner
An article with background history and a new analysis: A unique 3rd Dynasty (~2600 B.C.) Egyptian artefact thought to be an architect's drawing has heen reevaluated by the author and the geometry reveals surprising results.
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 Sara Billey
Sara Billey researches combinatorics, algebra, Lie theory, algebraic geometry and probability. Her papers on these topics may be downloaded in PostScript or gzipped PostScript format. The syllabi and problem sets for her undergraduate courses, i.e.
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 Sarah Glaz
Teaching, research, books, and articles by the algebraist, ring theorist, and poet. See, in particular, the math poems of undergraduate students and Glaz's own poetry, which includes "Mathematical Modeling," "A Pantoum for the Power of Theorems," "I am
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 The SAT: Aptitude or Demographics?  Glenn Elert
A paper discussing the SAT's validity, coachability, biases, and implications, especially with respect to race and socioeconomic status.
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 Scales of Measurement  Niel Brandt
An extensive list of physical and mathematical events and objects in ascending values and orders of magnitude.
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 Scaling Up Innovative Practices in Mathematics and Science  Carpenter et al.
Download a PDF of a research report that clarifies the meaning of the phrase "learning with understanding," describes the nature of successful professional development, and outlines how to scale successful practices. The research by Thomas P. Carpenter,
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 Scheduling Random Walks  Ivars Peterson (MathTrek)
Among networked computers, some sort of software scheduler must regulate data flow, but proving that a given scheduler not only prevents conflicts but also performs its duties efficiently can be surprisingly difficult. Computer scientists have found that
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 School Wise Press
California publishers of school profiles for use in choosing schools for your children. The site also provides: educationoriented news, articles, and books; online school comparisons; an askanexpert service with a parent advocate; and editorial responses
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 Schroedinger's Cash Register  Oliver Baker  Science News Online
A discussion of the application of physics (particle physics, quantum theory, and statistical mechanics) to finance theory, with econophysicists attempting to break ground in Wall Street, and the possible underlying mathematical structure of market behavior.
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 Science Access Project  Oregon State University
A group dedicated to developing methods for making science, math, and engineering information accessible to people with print disabilities. Includes braille representations of mathematical notation, and other resources for blind students.
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 Science and Mathematics Education: Similarities and Differences  Lynn Arthur Steen; St. Olaf College
Lynn Steen writes on the similarities and differences between the NCTM Standards and those of the National Research Council. Intellectually, the two communities agree on virtually all comparable aspects of their respective standards. But the nature of
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 Science Daily: Research Shows Homework Does Boost Academic Achievement; but Overemphasizing Grades and Performance May Lead to Cheating  American Psychological Association
This article, from the ScienceDaily Magazine site, describes an investigation into the effect of homework and grade emphasis on academic achievement of students and selfreported rates of cheating.
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 Science, Engineering, and Technology for Youth  eXtension
Lessons, news, articles, answers from experts, a glossary, and other science resources for young people. See especially Math in Child Care, which organizes suggestions for developing children's mathematical foundations into topics such as onetoone correspondence
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 Science News for Kids  Science Service
Science articles written for kids, along with activities for kids to try on their own and ways for kids to comment, ask questions, or submit their own work through the site. Also includes: brain teasers and Javabased games; science fiction discussions
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 Scientific American
The online version of the technology magazine, with interlinked articles, interviews with scientists, Ask the Experts, and Explorations, guided tours across the Web of recent technological developments. An archive of past articles is included.
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 Scientific Surfing for Children  Mike May, American Scientist
An early article about the World Wide Web by Mike May in the NovemberDecember issue of American Scientist, pp. 568571, discusses the world of scientific information and activities on the Internet, and forums in which professional scientists are waiting
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 ScottBeall.com  Scott Beall
Professional development programs for mathematics teaching and interdisciplinary curricula, emphasizing the integration of music and mathematics. With examples from his recent publication Functional Melodies  Finding Mathematical Relationships in Music
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 Scrambled Grids  Ivars Peterson (MathTrek)
The socalled baker's map, or transformation, in dynamical systems theory. One special case: Start with a square. Stretch it to twice its original length
while making it half as wide. Cut the result in half, and stack one half on top of the other to
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 Sculpture Generator  Ivars Peterson (MathTrek)
"Judging what a sculpture will look like after it is finished can present many difficulties for an artist just beginning a piece... Computer scientist Carlo Séquin of the University of California, Berkeley, specializes in the
computerassisted
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 Sean's Home Page  Sean Mauch
"For the past few years I have been working on an open source textbook. It contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations...." This former
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 Searching For New Mathematics  Ivars Peterson
Peterson points out that nonmathematicians interested in keeping up with contemporary mathematical research face daunting obstacles: the high level of abstraction, unenlightening notation, and the format of journal papers all conspire to make any foray
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 Search MSRI Library Catalogue  Mathematical Sciences Research Institutes
Fill in the patterns (words or word fragment) you wish to search. The pattern can be from the title, author, subject, publisher, or series.
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 Search Netlib  Netlib Repository at UTK and ORNL
Netlib is a collection of mathematical software, papers, and databases. Another Netlib search interface (which indexes the same material) is available at
http://netlib.belllabs.com/netlib/search.html. Also search the NADigest.
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 Search the UK Mirror Service  Higher Education National Software Archives
Formerly HENSA, this UK service maintains copies of electronic archives from all over the world, providing access to a wide range of uptodate software for those using PC's and microcomputers. The indexes searched allow you to find software held in any
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 The Seasons  Jim Loy
What causes earth's seasons? A simple explanation, with some illustrations, of seasons, the solstices, and the equinoxes.
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 Second Moment  Stone Analytics
A meeting place for academia and industry in the fields of applied statistics and analytics, showcasing cutting edge academic research. Also a resource for industry analysts and businesses interested in applying the latest statistical and analytical tools
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 Secrets of the Beehive  Keith Devlin; Guardian Unlimited Archive
The 4th century geometer Pappus was one of several ancient Greek mathematicians who suspected that the elegant shape of the honeycomb was a result not of an innate beesense of geometric beauty but of nature's efficiency. The repeating pattern of sixsided
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 Seeing Red  Keith Devlin (Devlin's Angle)
Though it is fashionable to talk about the mind as a computer, a better description is that it is a pattern former/recognizer... The problem facing the computer scientist trying to equip a computer with vision is how to simulate
this pattern creation/recognition
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 Selected Papers  Louis A. Talman
"An Unfortunate Metaphor" [the assembly line], Notices of the American Mathematical Society, 40 (1993); "Weekly Journal Entries  An Effective Tool for Teaching Mathematics," Using Writing To Teach Mathematics, MAA Notes, No. 16, Mathematical Association
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 Selected Recent Publications  George W. Hart
Areas of Hart's research and pointers to further information, including a bibliography of his publications. Links to pages on: Multidimensional Analysis; Nonintrusive Appliance Load Monitoring; Telecommunications Network Management; Viterbi Algorithm
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 Selected Technical Papers by Title  UAB Graphics and AI Laboratory (GRAIL)
Papers from GRAIL, the University of Alabama at Birmingham Department of Computer and Information Sciences center for research in computer graphics and vision. Includes: The bisector of a point and a plane parametric curve; Computing point/curve and curve/curve
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 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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 Semidefinite Programming  Christoph Helmberg
A page for the entire semidefinite community. Links to lists of: Conferences and Workshops; Interior Point Algorithms; Geometry and Complexity; Applications in Combinatorial Optimization; Applications in Control Theory; Eigenvalue Oriented Approaches;
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 Sending Mathematical Communications Electronically  Dave Rusin
Mathematical ideas sent via email tend to get rapid responses, and allow for precise earmarking of passages needing comment. There is however the problem of communicating the wide array of symbols and diagrams in a medium which should be assumed to use
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 Sequences, Series, Summability  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to sequences and series, the most common examples of limiting processes; convergence criteria and rates of convergence are as important as finding "the answer." Particular series of interest (e.g. Taylor
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 Serendip  Bryn Mawr College
An expanding forum and a continually developing set of resources for exploring and supporting intellectual and social change in education, social organization, and for making sense of life, organized into: Brain and Behavior, Complex Systems, Biology,
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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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 Set Theoretic Analysis (Topology Atlas)  Krzysztof Chris Ciesielski, Editor
An interactive encyclopedic reference for Set Theoretic Analysis, with most current research available immediately through the web and ftpcapabilities of the Topology Atlas. Contents: What is Set Theoretic Analysis?; What's new; Surveys; Preprints;
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 Set Theory and Foundations (MathPages)  Kevin Brown
About 30 "informal notes" by Kevin Brown on set theory and foundations: what is fuzzy logic, fractal logic, Cantor's diagonal proof, are all triangles isosceles?, on Gauss's mountains, problems with the luminiferous aether, and many more.
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 Set Theory  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to set theory. Naive set theory considers elementary properties of the union and intersection operators  Venn diagrams, the DeMorgan laws, elementary counting techniques such as the inclusionexclusion
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 Setting the Stage with a Story  Suzanne Alejandre
Article about the development, and implementation, of online lessons created by Varnelle Moore at a Math Forum summer institute. Originally published in the June, 2013, issue of the CMC ComMuniCator, journal of the California Mathematics Council.
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 Several Complex Variables and Analytic Spaces  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to several complex variables, the study of (differentiable) functions of more than one complex variable. The rigid constraints imposed by complex differentiability imply that, at least
locally, these
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 Shai Simonson
Shai Simonson is an associate professor of computer science and mathematics at Stonehill College. The site contains the article "How to Read Mathematics," which uses the probability of two people having the same birthday as an example. The site also
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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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