 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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 Regular Solids  Jim Loy
An elementary introduction to regular polyhedra, solid geometric figures with identical regular polygons as their faces and the same number of faces meeting at every corner (vertex).
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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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 Rick Durrett's Home Page  Rick Durrett
Research in the general area of probability theory, and more specifically in stochastic spatial models and their applications to ecology and genetics. Publications organized into books and papers, as well as s3 (stochastic spatial simulator) and stochastic
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 Riding on Square Wheels  Ivars Peterson (MathTrek)
A square wheel may be the ultimate flat tire. There's no way it can roll over a flat, smooth road without a sequence of jarring bumps. However, a square wheel can roll smoothly, keeping the axle moving in a straight line and at a constant velocity, if
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 The Rise of Calculus  MacTutor Math History Archives
Linked essay describing the history of Calculus from the Greeks through Newton and Leibniz, with 28 references (books/articles).
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 RiskLab Toronto
One of an international network of math laboratories in the field of risk
modelling. Originally intended to model financial risk, the field has grown
to encompass a number of other areas. Site provides summaries of the lab's
research (including
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 Rob Barry's Website
Recent stories by The Wall Street Journal investigative reporter who specializes in computerassisted reporting, which he describes as "the practice of wrestling large sets of data into compelling narratives." Barry's articles have ranged from insider
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 Robbins Algebras are Boolean  William McCune, Automated Deduction Group, Argonne National Laboratory
The Robbins problem  are all Robbins algebras Boolean?  has been solved: Every Robbins algebra is Boolean. This theorem was proved automatically by EQP, a theorem proving program developed at Argonne National Laboratory. Information on the solution;
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 Robert Abbott's Mazes  Robert Abbott
Two very difficult puzzles programmed by Oriel Maxime and based on mazes in Abbott's books: the Sliding Door Maze, and Theseus and the Minotaur. Also a collection of reviews of the books SuperMazes and Mad Mazes, with more puzzles (but nothing interactive),
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 Roberto Tamassia's Home Page
Home page of a Professor in the Dept. of Computer Science at Brown University. Curriculum Vitae, recent papers, teaching, books (interests include graph drawing, data structures, computational geometry).
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 Robotic Navigation with Constraints  J. A. Sethian
A paper and movie on robotic navigation. Finding the Shortest Path: The equation that describes the arrival time of this expanding front as it depends on the possible speed at any point and direction is the Eikonal equation. The fast marching method is
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 RockandRoll Bridge  Ivars Peterson (MathTrek)
Startling scenes of rippling pavement, featured in a classic film that captured the 1940 destruction of the Tacoma Narrows suspension bridge in Washington state, rank among the most dramatic and widely known images in science and engineering. This old
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 The Role of Calculators in Math Education  Heidi Pomerantz, Bert Waits for USI/CPMSA
This PDF article outlines the benefits of calculator use in mathematics classrooms from kindergarten through the university level, describing how calculators, when used appropriately, can be a tool for learning mathematics. The document has six sections:
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 The Role of Examples in Learning Mathematics  Annie and John Selden; Mathematical Association of America
"Examining examples and nonexamples can help students understand definitions.... Is the provision of examples always desirable? Would it perhaps be better to ask undergraduate students to provide their own examples and nonexamples? Would they be able
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 Roles of calculators in the classroom  Pedro Gómez and Bert Waits
The site contains the extended papers of the conferences presented in the Topic Group 18 of the International Congress of Mathematics Education held in Seville in July, 1996. Papers are presented both as web pages and as PDF files.
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 The Roles of Interest and Mathematical Beliefs in Preservice Teachers' Learning to Mentor Online [PDF]  Ray & Renninger
Paper presented as part of a symposium, American Educational Research Association, Chicago, IL. A study of preservice teachers working with the Math Forum's Online Mentoring Guide.
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 Rolling a Die Until Every Face Has Appeared (Math Chat)  Frank Morgan, MAA Online
How many times do you think you need to roll a normal die to be 90% sure that each of the six faces has appeared at least once? Why? Answer: It takes 23 rolls, as Al Zimmerman discovered in a computer experiment rolling 5000 dice until 90% of them had
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