 Jazzing Up Euclid's Algorithm  Ivars Peterson (MathTrek)
Early in 2000, the journal Computing in Science & Engineering (CISE) published a list of the top 10 algorithms of the century. Many of the selections are now familiar, finely tuned, heavily used tools. The Metropolis algorithm for Monte Carlo methods,
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 Jean Marie Linhart
Courses taught, outreach activities, teaching statement and philosophy, and more from this Lecturer at the University of Texas at Austin. See, in particular, Linhart's web page on Success at Math, a PDF of her Mathematical Models of a Zombie Outbreak
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 Jeffrey C. Lagarias
A member of the University of Michigan Department of Mathematics. List of publications, with many available for download in PostScript format; Lagarias' research interests include Number Theory, also Computational Complexity Theory, Cryptography, Discrete
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 Jim Wilson's Home Page  Dept. of Mathematics Education, Univ. of Georgia
Jim Wilson's page lists courses taught (e.g. Computers and Algorithms in Mathematics Education, Problem Solving in Mathematics), and papers on topics in geometry: Ratio of areas of two squares; Capturing Area and A Solution; Curve Building; Orthotravels;
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 Jo Boaler
From the author of What's Math Got to Do with It?: How Parents and Teachers Can Help Children Learn to Love Their Least Favorite Subject. Watch a YouTube clip of Boaler teach using Inquiry Based Learning method, or click through her presentation entitled
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 John Allen Paulos
John Allen Paulos is a mathematician and author of the books Mathematics and Humor, I Think, Therefore I Laugh, Innumeracy  Mathematical Illiteracy and Its
Consequences, Beyond Numeracy  Ruminations of a Numbers Man, A Mathematician Reads the Newspaper,and
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 John Baez's Stuff  John Baez
The site features the author's column "This Week's Finds in Mathematical Physics," with archives dating back to 1993. "Fun stuff" includes old posts and email on Bayesianism in probability theory and quantum mechanics; some rambling lectures on knot polynomials,
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 John Lott's Home Page  John Lott, Department of Mathematics, University of Michigan
Lott's research papers, seminar notes, and "officiousness" (CV and bibliography). Download PDFs of journal articles and preprints such as "Notes on Perelman's papers"; "Weak curvature conditions and Poincaré inequalities"; "Ricci curvature for
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 John MacFarlane
Papers, books, talks, courses, and other resources by the member of the University of California, Berkeley's Group in Logic and the Methodology of Science and a coorganizer of the Working Group in the History and Philosophy of Logic, Mathematics, and
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 John Mason's Projects  John Mason
Projects by the author of Thinking Mathematically and former director of the Centre for Mathematics Education: Structured Variation Grids and other animations and applets; studies in algebraic thinking; mathematical explorations; MEMEs (Meaning Enquiry
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 Johnny might not be mathchallenged  Keith Devlin (Devlin's Angle)
His problem could just be that he's an auditory learner. An essay on learning styles and how they affect mathematics learning.
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 John Olive's Home Page  John Olive, Department of Mathematics Education, The University of Georgia
Course descriptions and requirements for Computers in Mathematics Education and Investigations into the Teaching of Mathematics Grades 712. Recent articles, available online, include Computer Tools for Interactive Mathematical Activity in the Elementary
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 John Stembridge
John Stembridge researches algebra and combinatorics. His papers on these subjects are available online as gzipped PostScript files. The site contains an archive of related research data such as lists of posets on 8 or fewer vertices and Coxeter graph
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 John Taylor's Home Page  John Taylor; University of Brighton
Taylor's other activities include Maple generated animations: vary gradients or intercepts in equations for a straight line, change coefficients of quadratic curves or cubic curves, draw tangents to conics, model a nondifferentiable surface, and construct
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 Jon Kleinberg's Homepage  Jon Kleinberg, Department of Computer Science, Cornell University
Read Kleinberg's research on algorithms that exploit the combinatorial structure of networks and information. His work includes techniques for analyzing and modeling link structure in the World Wide Web and related information networks; discrete optimization
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 Joseph Malkevitch's Home Page  Joseph Malkevitch, York College (CUNYThe City University of New York)
Malkevitch's interests include geometry (polytopes, graph theory, tilings, etc.), discrete mathematics, and mathematical modeling (especially models dealing with fairness and equity issues and codes of all kinds). Most of his research concerns using combinatorial
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 The Jose Vilson  José Luis Vilson
Blog by a math educator for a middle school in the Inwood and Washington Heights neighborhoods of New York. Posts, which date back to February, 2007, have included "On The Reason Why You May Only Get One Black Male Teacher Ever In Your Life (If At All),"
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 Journal of Applied Mathematics & Decision Sciences (JAMDS)  Mahyar A. Amouzegar, Managing Editor
The primary aim of this journal is to rapidly publish refereed papers on applied problems of Mathematics, Operations Research, and Statistics without compromising mathematical precision. Papers that address both the theoretical aspects and the application
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 Journal of Basketball Studies  L. Dean Turcoliver
A searchable site that attempts to use wellfounded mathematical and scientific tools to study basketball. Contents include an overview of established methods and a list of statistical repositories on the Web. A collection of research articles contains
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 Journal of Difference Equations and Applications
This journal presents papers on difference equations and the academic, analytical and engineering problems in which they arise. The journal is composed of original research, expository and review articles, as well as papers that present new concepts in
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 Juggling by Design  Ivars Peterson (MathTrek)
The earliest known depiction of juggling is on the wall of an Egyptian tomb nearly 4,000 years old. The painting shows a woman keeping three balls aloft. It's only in the last decade or so, however, that juggling has become the subject of serious mathematical
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 Juggling by Number (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Mathematicians have invented a way to write down juggling patterns as sets of numbers. They look at the order in which balls are tossed into the air and then caught. Each toss or catch happens on a particular beat, as if the juggler were keeping time
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 Juggling Drops and Descents (Organic Mathematics Proceedings)  Joe Buhler, Ron Graham
A discussion of the permutations f of the integers Z satisfying $f(x) \ge x$, with applications to juggling patterns. Demonstrations are included and the site includes QuickTime movies.
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 Justice Research and Statistics Association (JRSA)
A national organization of analysts, researchers, and members of the U.S. criminal justice system. Introduction to the JRSA with membership information, links to state Statistical Analysis Centers, current programs and research with associated data,
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 K12 Multimedia Math Education  Sparkle Productions
Software and research: reports and articles are available, with print and web references and resources, in the Motivation and Learning Center, which provides suggestions for parents on increasing their child's intrinsic desire to learn. Their math materials
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 The K12 View from Oregon  Keith Devlin (Devlin's Angle)
Comments by Sir Roger Penrose, Ivars Peterson, Ralph Abraham, and Keith Devlin at an Oct. 2 1997 "Math Summit" on the question: "Outline what you think is important in a mathematics education to prepare students for life in the next millennium." Education
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 Karla Hoffman
A specialist in operations research and combinatorial optimization. Papers in PDF, PostScript, or HTML formats include articles on airline scheduling, set covering, and the traveling salesman problem. Resume and curriculum vitae and syllabus, project,
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 Ken Shirriff
A researcher at Sun Microsystems. Annotated bibliographies on fractals and cryptography, and related papers, which may be downloaded in PostScript format. Graphics of Voronoi fractals (dividing the plane into regions closest to a given point) and fractals
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 Kepler's Sphere Packing Problem Solved  Keith Devlin (Devlin's Angle)
Mathematician Thomas Hales of the University of Michigan announced in 1998 that — after six years effort — he had proved that a guess Kepler made back in 1611 was correct. The problem asks what is the most efficient way to pack equalsized
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 Key Aspects of Knowing and Learning the Concept of Function  Annie and John Selden; Mathematical Association of America
Marilyn Carlson and Michael Oehrtman discuss "what is involved in knowing and learning the function concept," including "the reasoning abilities involved in understanding and using functions and the dynamic conceptualizations needed for understanding
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 Key Issues for the Mathematics Community  The Math Forum
Links to Web resources addressing key issues, compiled in the following categories: Key Questions; Key Problems and Opportunities; Equity and Access (Minorities and Mathematics; Women and Mathematics; Resources for People with Disabilities; NonEnglish
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 Keynesian ISLM Model of the Canadian Economy  Elmer G. Wiens; Egwald Web Services Ltd.
Macroeconomics model of the Canadian Economy based on the Keynesian ISLM
model. Illustrated article with interactive supplemental page.
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 Key Problems and Opportunities  Key Issues in Mathematics at The Math Forum
Third International Mathematics and Science Study (TIMSS); National Science Foundation in Peril; The Necessity of Setting Research Priorities.
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 Key Questions  Key Issues in Mathematics at the Math Forum
Links to Web resources addressing questions such as: Why should the public support mathematics? Why is a research mathematics program necessary for graduate science programs? Why are we wellsuited to teach mathematics to scientists and engineers? Why
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 Keyword search of AI publications  College of Computing, Georgia Tech University
To search, simply enter a query and press the 'search' button. If you enter two or more words, any document that contains ANY of the words will be found.
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 Kinetic Theory  Stepan A. Amossov
A site devoted to mathematical problems of kinetic theory and its applications in physics, chemistry and economics, with some papers, information about forthcoming seminars and conferences, and links to other resources in related fields. Best in Internet
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 The King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry  Siobhan Roberts
As a companion to The King of Infinite Space, a biography of Donald Coxeter, this website provides photographs, archives, papers, video footage, links and other resources, allowing readers to further explore Donald Coxeter’s infinite passion for geometry.
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 The Klein Project
Revisiting the intent of Felix Klein's Elementary Mathematics from an Advanced Standpoint on the centenary of its publication, this IMU/ICMIcommissioned project aims to produce a book for upper secondary teachers that communicates the breadth and vitality
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 Knot Magic Not Magic
(MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Sometimes what looks like an impressive knot isn't a knot at all. Magicians and escape artists are experts at tying phony knots. Though magicians like knots that can fool people, mathematicians are mostly interested in real knots, especially knots that
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 Knotted Walks  Ivars Peterson (MathTrek)
Given that it normally takes some effort to create a knot, the spontaneous formation of knots in ropes and strings can appear rather puzzling. Having no obvious explanation of the effect, frustrated users can't help but acknowledge this knotting phenomenon
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 Knowing, doing, and teaching multiplication (Learning and Mathematics)  Magdalene Lampert; Math Forum
In this 1986 article Magdalene Lampert, of the Institute for Research on Teaching at Michigan State University, advocates incorporating students' intuitive knowledge about mathematics into classroom lessons. Like Richard Lesh, she encourages putting new
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 Kriging Description  Fortner Software
The site describes kriging, a sophisticated method of determining the best estimate for each point in a target matrix, based on statistical principles. Kriging is named after a South African engineer, D. G. Krige, who first developed the method. The article
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 KTheory  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to Ktheory, a blend of algebra and geometry. Originally defined for (vector bundles over) topological spaces it is now also defined for (modules over) rings, giving extra algebraic
information about
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 Kumar Jeev's Research  Kumar Jeev
Articles in PDF format, PowerPoint presentations, C++ code, and abstracts. Includes "Symbolic Stochastic Systems and the Matrix Tree Theorem," with JeanLouis Lassez, in which an alternative proof for the Matrix Tree Chain theorem, proven by Tom Leighton
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 The Ladies' Diary  Ivars Peterson (MathLand)
The Ladies' Diary: or, Woman's Almanack was published annually, starting in 1704. Printed in London, it featured the usual stuff of almanacs: calendar material, phases of the moon, sunrise and sunset times, important dates (eclipses, holidays, school
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 L'Algebrista  Michele Cerulli
Software designed to introduce pupils to theoretical thinking and symbolic manipulation. The site includes publications and a description of the software. In English and Italian.
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 Language and Mathematics (Learning and Mathematics)  Cocking, Chipman; Math Forum
In their 1989 paper, "Conceptual Issues Related to Mathematics Achievement of Language Minority Children," Cocking and Chipman examine the mathematical ability of language minority  particularly bilingual  students, attempting to identify linguistic
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 La Quinta Operación Matemática (The Fifth Arithmetical Operation)  Domingo Gómez Morín
Simple arithmetic methods (no derivatives, no decimals, no cartesian system) for solving roots that also include the most advanced algorithms (Newton, Halley, Bernoulli)of analytic geometry and infinitesimal analysis. For Morin's more recent numerical
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 L'arbre de Delaunay  JD. Boissonnat et al.
L'arbre de Delaunay est une structure randomisé permettant de mettre à jour la triangulation de Delaunay. Cette structure permet de traiter des requètes de localisation. Delaunay triangulation code for Delaunay meshing in 2 and 3 dimensions
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 Launchings  David Bressoud
This monthly column, sponsored by the Mathematical Association of America (MAA), originally aimed "to publicize and expand upon the CUPM Curriculum Guide 2004 and its two companions: the Curriculum Foundations Project, and the CUPM Illustrative Resources."
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