 Quantum Theory  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to Quantum Theory, the study of solutions of the Schroedinger (differential) equation. Also includes a good deal of Lie group theory and quantum group theory, theory of distributions and topics from
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 QUdata.com  Icestone Trustee Limited
Online tools and reference library resources for data mining and knowledge discovery. Collection of free online statistical and scientific calculators, 2D and 3D function plotters.
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 Quirky Video Poker  Ivars Peterson (MathTrek)
The lure of easy money brings gullible bettors back again and again to the game of video poker  an immensely popular pastime in casinos and other gambling venues throughout the United States. Most players are bound to lose money, says Todd D. Mateer,
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 Rachel W. Hall's Research Page  Rachel Wells Hall
Rachel W. Hall in the Department of Math and Computer Science, Saint Joseph's University, Philadelphia, PA, offers links to her articles on mathematics and music in PDF format, including: Geometrical Music Theory; A Course in Multicultural Mathematics;
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 Radical Constructivism  Alex Riegler, Ed.
People, organizations, and online papers that deal with radical, epistemological, psychological and educational constructivism and second order cybernetics. Includes general introductions, online books and papers, links, conferences, and a URL submission
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 Radical Math
A site for integrating issues of social justice into the classroom. Contribute your own resources, search them by keyword, or browse by math topic, title, or types such as lesson plans, article, charts, graphs, data sets, maps, books, websites, and more.
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 RAND Education  RAND Corporation
A division of the RAND Corporation, RAND Education is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. In particular, see the RAND Mathematics Study Panel (RSMP), part of its Achievement for All research
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 Random Walk on the Speiser Graph of a Riemann Surface [PDF]  Peter G. Doyle
A paper that appeared in the Bulletin of the American Mathematical society, which considers the problem of determining the conformal type of a covering surface of the Riemann sphere with punctures. To such a surface there corresponds a Speiser graph of
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 Real Functions  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to real functions studied in calculus classes; the focus here is on their derivatives and integrals, and general inequalities. This category includes familiar functions such as rational
functions. History;
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 A Really Friendly Guide to Wavelets  C. Valens
A tutorial in wavelet transforms and their applications to signal theory and image compression, aimed at engineers. The tutorial may be read online, or downloaded as a PDF or zipped PostScript file.
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 The Real Y2K Problem (Math Chat)  Frank Morgan, MAA Online
Solution to the challenge: Every year in the millennium from 2000 to 2999 can be represented as the sum of consecutive integers, except one year. Which year cannot be represented as the sum of consecutive integers? New challenge: Where do you think you
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 Reasons for Studying (Learning and Mathematics)  Susan Bobbitt Nolen; Math Forum
In this 1988 article, "Reasons for studying: Motivational orientations and study strategies," Susan Bobbitt Nolen, of the University of Washington, argues that in order to foster meaningful learning and effective study strategies, teachers should reduce
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 Reassessing U.S. International Mathematics Performance: New Findings from the 2003 TIMSS and PISA  American Institutes for Research
"Despite a widely held belief that U.S. students do well in mathematics in grade school but decline precipitously in high school, a new study comparing the math skills of students in industrialized nations finds that U.S. students in 4th and
8th grade
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 Recent Papers in Category Theory  Prof. George F. Nassopoulos
Recent papers in Category theory and its applications to functional analysis, global analysis, and abstract differential geometry.
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 Recognizing Numerical Constants (Organic Mathematics Proceedings)  David H. Bailey, Simon Plouffe
Article and presentation. Abstract: The advent of inexpensive, highperformance computers and new efficient algorithms have made possible the automatic recognition of numerically computed constants. In other words, techniques now exist for determining,
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 Recycling Topology  Ivars Peterson (MathLand)
It's hard to miss the triangle of three bent arrows that signifies recycling. It appears in newspapers and magazines and on bottles, envelopes, cardboard cartons, and other containers. But have you noticed that there are two versions of this ubiquitous
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 Reflections on Deep Blue  Keith Devlin (Devlin's Angle)
We generally assume that the ability to play a good game of chess requires intelligence when it comes to people. Why not for chessplaying machines as well? Well, here is one argument that shows that things are not so simple. One aspect of human intelligence,
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 Relativity and Gravitational Theory  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to relativity and gravitational theory: differential geometry, analysis, and group theory applied to physics on a grand scale or in extreme situations (e.g. black holes and cosmology). History; applications
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 Religious schools inspire math reasoning  B. Bower  Science News Online
Students at ultraorthodox Jewish schools, who study mainly holy texts, outperform most students at mainstream schools on tests of geometric reasoning, perhaps because of the emphasis on reflection and considering different perspectives.
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 REL Network
The network of ten Regional Educational Laboratories (RELs), serving geographic regions that span the nation, works to ensure that those involved in educational improvement at the local, state, and regional levels have access to the best available information
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 The ReMath Project  Research Academic Computer Technology Institute
"Making sense of theory on learning mathematics with digital media," the ReMath Project developed an "Integrated Theoretical Framework on the use of digital media to represent mathematical ideas and generate mathematical meanings." In particular, learn
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 Renato Montemurro
Libri dall'inventore delle tabelline times table: L'insegnamento della matematica nella scuola elementare (La Scuola); La matematica dalla scuola dell'infanzia alla scuola elementare (La Nuova Italia); una guida didattica per l'insegnante della scuola
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 Replacing Iowa and New Hampshire (Math Chat)  Frank Morgan, MAA Online
Answer to the challenge: Propose a new system for selecting Presidential candidates. Winning answer by Joe Shipman: a year before the primaries start choose five congressional districts at random to have a primary the last week in
January and five more
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 Reply to Dr Mulase's review of Algebra: Themes, Tools, Concepts  Henri Picciotto
Picciotto writes: "I would have preferred a more generous tone in Dr Mulase's criticism, but I have survived the reading of his diatribe, and I may have learned something from it. In this paper, I will respond to his main points, try to explain the approach
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 Report of a study on The TI92 Symbolic Calculator in Norwegian Mathematics Education  Tor Jan Aarstad
A study of the use of the TI92 calculator at Strand upper secondary school in Norway.
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 Report to the President on the Use of Technology to Strengthen K12 Education in the United States, March 1997  President's Committee on Science and Technology
A paper by the Panel on Educational Technology. Sections include: Introduction; Potential Significance; Hardware and Infrastructure; Software, Content and Pedagogy; Teachers and Technology; Economic Considerations; Equitable Access; Research and Evaluation;
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 Resampling Stats
Resampling is a statistical method of drawing repeated samples from the given data to determine the value of a parameter of interest. Resampling Stats is a computer program offered for sale (30day free trial, discount for personal or academic use). The
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 Research and Expository Papers by Charles Wells and others  Charles Wells; Case Western Reserve University
Research and expository publications concerning mathematical writing, such as Communicating Mathematics: Useful Ideas from Computer Science; Varieties of Mathematical Prose; Communicating Logical Reasoning; and Handbook of Mathematical Discourse, which
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 Research at Education Program for Gifted Youth  Stanford University Center for the Study of Language and Information (CSLI)
A sample of articles, in .pdf format, about computerbased distance learning instruction and other educational technology, written by researchers of the Institute for Mathematical Studies in the Social Sciences (IMSSS) and Education Program for Gifted
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 Research for Better Schools (RBS)
An educational R&D firm serving the MidAtlantic region, currently operating the MidAtlantic Eisenhower Consortium for Mathematics and Science Education. RBS offers educational development, evaluation, technical assistance, and training services
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 Research Group in Mathematical Inequalities and Applications (RGMIA)  RGMIA and Victoria University, Australia
The Research Group in Mathematical Inequalities and Applications disseminates results via publication (both in print and electronic form) and conferences; creates an awareness of the theory of inequalities and support seminars and visiting academics;
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 Research in Geometric, Symbolic and Scientific Computing  Dept. of Computer Science, Univ. of North CarolinaChapel Hill
Research projects: Geometric and Solid Modeling, Interactive Collision Detection for Simulated Environments, Immersive Design, Rendering Curved Models, Symbolic and Numeric Manipulation of Polynomial Systems. Also recent papers and technical reports,
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 Research in Math Education  Mathematics Education at The Math Forum
Research into the learning and teaching of mathematics: methods; K12 and college undergraduate education (articles, conference sessions); bibliographies; centers; studies; special interest groups; organizations and journals.
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 Research Institute of Symbolic Computation (RISCLinz)
The Research Institute for Symbolic Computation, RISC, is an Austrian institute devoted to the field of symbolic computation. The site includes descriptions of various research areas, such as combinatorics, constraint solving, the theory of computation,
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 Research  Peter Alfeld; University of Utah
Researchrelated materials: An interactive applet that lets you explore the BernsteinBézier form of a bivariate polynomial; recent papers, complete bibliography, recent talks, computer graphics (illustrating various mathematical concepts: US Global Positioning
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 Research Projects and Papers  Department of Statistics, University of Minnesota
Technical reports and other papers, many including some works in progress available online. Technical Report Archive; Document PrePrint Archive. Also a number of research and software projects: XLISPSTAT, the Rcode, An Introduction to Regression Graphics,
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 Resource Room (Math Central)  University of Regina, Regina, Saskatchewan, Canada
French version: Centre de ressources. A service of Math Central that allows mathematics educators to share resources having to do with math teaching. Submissions are stored in a database that can be browsed by educational level and curriculum strand,
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 Resources for Undergraduates in Mathematics (MAA)  Mathematical Association of America
Answers and links to sites that answer questions such as: What can I do with a math major? Where can I find help on finding the first job? What has been the experience of other students? What are some other resources?
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 Rethinking Schools Online: An Urban Educational Journal
Founded in 1986 by activist teachers, Rethinking Schools is a nonprofit, independent publisher of educational materials that advocates the reform of elementary and secondary education, with a strong emphasis on issues of equity and social justice. Having
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 Retrosheet
Digitizing playbyplay accounts of Major League Baseball games from the past century through the present. Freely download event files, which detail "literally every play" in big league baseball; game logs; schedules; narratives, which provide text playbyplay
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 The Return of Odysseus and the Elements of Euclid  Andrew Wiesner; Classics Dept., Colorado College
The author's 1994 honors thesis, which attempts to shed new light on the origins of Greek mathematics.
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 Return of the Mathematical Tourist  Ivars Peterson (MathTrek)
In the newly published, updated edition of The Mathematical Tourist, Peterson writes, "...computers have become commonplace tools used by nearly all mathematicians, not only to communicate with each other but also to explore mathematical questions...
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 The Return of Zeta  Ivars Peterson (MathTrek)
The Riemann hypothesis is widely considered the outstanding unsolved problem in mathematics. Generations of mathematicians have been lured into hunting for a proof of this celebrated conundrum. All have so far failed. Lately, however, a cautious optimism
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 A Revolution in One Classroom: The Case of Mrs. Oublier  David K. Cohen
This journal article, which "probes the relationship between instructional policy and teaching practice," considers one California teacher's response to the state's mid1980s mandate to replace mechanical memorization with mathematical understanding:
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 RGA  Algorithm for Global Optimization  Gennady A. Ryzhikov, Univ. of Bergen, Norway
RGA  algorithm: a novel approach to global optimization, based upon Regularized Global Approximation.
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 RGA  Algorithm: Sen & Stoffa's Test Function  Gennady A. Ryzhikov, Univ. of Bergen, Norway
RGAalgorithm for global optimization. Tests with the nonsmooth multimodal objective function: automatic zooming, autotermination.
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 Richard E. Borcherds
Preprints, papers, and the author's thesis, in HTML, plain TeX, dvi, and pdf formats; problem sheets for Lie algebras or Modular forms, and solutions to some problems in Hartshorne's book; tables of positive definite lattices and coefficients of some
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 Richard Stanley
Richard Stanley is a combinatorialist at the Massachusetts Institute of Technology. His site includes a complete list of his publications, PostScript files of his most recent articles, and information, including corrections, about his book Enumerative
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 Richard Weber, University of Cambridge
Weber's professional interest is the Mathematics of Operations Research. His site includes contact information; a list of publications; a brief CV (with further information about his research interests); a recent research paper; a teaching page (with
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 RichLanza.com  Richard B. Lanza
ACL, Digital Analaysis, Benford's Law, DATAS, DATAS for ACL, DATAS for IDEA, DATAS for Excel, articles and book reviews on project management, audit software, digital analysis®, Benford's law, risk management, and more.
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