 Limited English Proficiency Students and Mathematics  Kristen Lockwood; Math Forum
An annotated bibliography of resources for mathematics teachers and others interested in how language may affect the thought, achievement and assessment of students of limited English proficiency, as well as these students' access to knowledge and education.
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 The Limits of Mathematics  Ivars Peterson (MathTrek)
In Godel's realm, no matter what the system of axioms or rules is, there will always be some assertion that can be neither proved nor invalidated within the system. Indeed, mathematics is full of conjectures assertions awaiting proof with no assurance
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 Linear and Multilinear Algebra; Matrix Theory (Finite and Infinite)  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to linear and multilinear algebra and matrix theory. As presented to engineers and as the subject of much numerical analysis, this subject is Matrix Theory. To an algebraist or geometer, it is the theory
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 Linear & Nonlinear Programming Publications, Preprints, & FAQs  Technical University of Braunschweig
PostScript files and some abstracts. Many articles in German.
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 Lines, Circles and Beyond  Cut the Knot!, Alexander Bogomolny
Third in a series of columns that draw on Frank Morley's fundamental paper On the Metric Geometry of the Plane nLine. Bogomolny's initial intention was to expose the simplicity of and the motivation behind Morley's original proof of his famous theorem.
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 Linguistic Geometry (LG)  Boris Stilman; Dept. of Computer Science & Engineering, Univ. of ColoradoDenver
Solving search problems of high dimension. Since 1991, Professor Stilman has been developing a new area in Artificial Intelligence, Linguistic Geometry, based on the investigation into sophisticated human heuristics resulting in highly selective searches,
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 Lin McMullin
Resources for AP Calculus teachers, information and articles on computer algebra systems (CAS), and other materials. Conference presentations include "Teaching Limits So That Students Will Understand Limits." See, in particular, the guide to the AP Calculus
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 L'Institut des Hautes Études Scientifiques  IHÉS
L'Institut des Hautes Études Scientifiques de BuressurYvette (France) est un institut de recherche avancée en mathématiques et physique théorique avec une ouverture vers l'épistémologie et l'histoire des sciences. Il offre à des savants d'envergure
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 Lizard Game (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
The rocky Coast Range of California is the setting for an unusual game played by a brightly colored sideblotched lizard. Each male of the species has one of three throat colors, and each color of lizard has a different mating behavior. The lizards play
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 Locating, Using, and Integrating InternetBased Mathematics Materials (NCREL)  Gilbert Valdez; Pathways to School Improvement
Goals, options for action, criticism, and implementation pitfalls; informative video and sound clips; organizations, agencies, and websites that work toward providing schools with better Internet and mathematics materials access. From the North Central
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 Loci  Mathematical Association of America (MAA)
Loci is a peerreviewed journal publishing articles, modules, applets, and reviews continuously as they are ready to be posted. Loci takes advantage of the World Wide Web as a publication medium for materials containing dynamic, fullcolor graphics;
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 Lockhart's Lament  Keith Devlin (Devlin's Angle)
Keith Devlin writes in his March, 2008, column: "This month's column is devoted to an article called A Mathematician's Lament, written by Paul Lockhart in 2002. Paul is a mathematics teacher at Saint Ann's School in Brooklyn, New York. His article has
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 Logical Art and the Art of Logic  Guenter AlbrechtBuehler
An illustrated essay about pentominoes, flat shapes formed from five (Gr.pente = five) unit squares. Also a DOS program for pentomino solutions (6x10) and galleries of pentomino creations.
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 Logic and Philosophy of Logic (Philosophy Resources on the Internet)  EpistemeLinks.com
Encyclopedia articles and related Web sites.
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 Logic Circuit Minimization Using Karnaugh Map Lookup Tables  John Eric Franklin
Four variable truth tables drawn in a four by four grid is called a
Karnaugh map to an electrical engineer. Karnaugh maps were developed in
the 1950's and help to produce sumofproduct equations (AND,OR). I have
added the XOR operator (exclusiveor)
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 Logic (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
Short articles on mathematical logic, covering axioms, deduction, fallacy, Kurt Gödel, and mathematical induction.
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 The Logo Foundation
A nonprofit educational organization devoted to informing people about Logo and supporting them in their use of Logobased software and learning environments. The site includes links for workshops and seminars; books and videos; Logo software (at discount
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 The Long Island Consortium for Interconnected Learning (LICIL)
The Long Island Consortium for Interconnected Learning in Quantitative Disciplines is a comprehensive, interdisciplinary project aimed at improving how faculty teach and how students learn in mathematically based subjects. It combines change in modes
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 Longitude and the Académie Royale  MacTutor Math History Archives
Linked essay describing longitude from Eratosthenes' mapping efforts through the 1681 Académie Royale expedition, with 8 references (books/articles).
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 Losing Each Mile But Winning the Marathon (Math Chat)  Frank Morgan, MAA Online
Joan was entered to run a special 26.5mile marathon, and she hoped to average under nine minutes per mile over the total distance. She had a number of friends measure her time over various mile segments of the course, and for each possible mile that
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 Losing to Win  Ivars Peterson (MathTrek)
Researchers have demonstrated that two games of chance, each guaranteed to give a player a predominance of losses in the long term, can add up to a winning outcome if the player alternates randomly between the two games. This striking new result in game
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 Lottery Mania  Keith Devlin (Devlin's Angle)
The math behind the odds of winning the Big Game, a lottery open to 7 states (Massachusetts, Maryland, Georgia, Illinois, Michigan, New Jersey, Virginia,), and how to understand it ("the psychology of lotteries has a logic all of its
own").
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 Love's Dynamics  Ivars Peterson (MathTrek)
For more than 300 years, differential equations have served as powerful models of dynamic phenomena, from planetary motion in the solar system to signal transmission in nerve cells and price fluctuations in a market economy. In the August SIAM Journal
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 LowComplexity Art  Jürgen Schmidhuber
Lowcomplexity art is the computerage equivalent of minimal art (Leonardo, MIT press, 1997). A lowcomplexity artwork can be specified by a short computer algorithm. It should 'look right', its algorithmic complexity should be small, and a typical observer
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 Lower Bounds for Solving Linear Diophantine Equations on Random Access Machines  Meyer auf der Heide, Friedhelm
Abstract: a lower bound for the complexity of solving linear Diophantine equations such as knapsack problems on an idealised computer. From the Journal of the ACM, Vol.32, No. 4 (Oct. 1985), pp. 929937.
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 LSCNet  TERC, Inc.
Best practices, issues, and resources for the National Science Foundation's 72 Local Systemic Change (LSC) Projects across the country. Each of these projects provides teacher professional development and curriculum innovation in the areas of math and/or
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 The Lucasian Chair of Mathematics at Cambridge  Robert Bruen; Boston College
Information about the professorship, biographies of current and previous chairs, and bibiliographic references.
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 Lucky choice turns up worldrecord prime  Ivars Peterson  Science News Online
Gordon Spence, a participant in the Great Internet Mersenne Prime Search (GIMPS) discovered the largest known prime number, an 895,932digit behemoth:
2^2,976,221  1, the 36th Mersenne prime to be found.
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 The Lunar Calendar in Japan  Steve Renshaw and Saori Ihara
The history of the lunar calendar in Japan: differences from the Chinese calendar and efforts toward modernization.
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 Lunar Shadows  Ivars Peterson (MathTrek)
Hosted by the Exploratorium in San Francisco, the eclipse party on August 11, 1999 brought hundreds of people to the science center's firstever allnight event. Broadcast live on the Exploratorium's Web site, the eclipse coverage proved a triumph for
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 Lynn Arthur Steen's Home Page  Lynn Arthur Steen
Selected publications on the topics of Mathematical Exposition, Collegiate Mathematics, Quantitative Literacy, and Mathematics Education from this mathematics professor at St. Olaf College in Northfield, Minnesota.
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 Macpurity's Earth Science, Geodesy and Geophysics web site  John W. Robbins
A site with information in the areas of Potential Theory, Theoretical Geodesy, Theoretical Geophysics and Celestial Mechanics and Dynamics.
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 MacTutor History of Mathematics Archive  University of St. Andrews, Scotland
The premier site on the Web for math history. Major features include biography, history topics, and famous curves indexes; mathematicians of the day, and a site search engine. Also, birthplace maps; anniversaries for the year; chronologies; search suggestions;
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 Mad4Maths  John Massey, Mad4Maths.com
A free fun animated website featuring games and puzzles for kids aged 610 yrs. Also features guides for parents on how maths in now taught in schools and explanations of current multiplication, division, and addition/subtraction methods.
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 Magician's Solution From Math Olympiad (Math Chat)  Frank Morgan, MAA Online
Answer to the Challenge from the 2000 International Math Olympiad: A magician has one hundred cards numbered 1 to 100. He puts them into three boxes, a red one, a white one and a blue one, so that each box contains at least one card. A member of the audience
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 Magic of Perfect Shuffles  Ivars Peterson (MathTrek)
S. Brent Morris likes to say that he's the only person with a doctorate in card shuffling. A mathematician at the National Security Agency (the world's largest employer of mathematicians) in Fort Meade, MD, he is also a showman, specializing in card tricks.
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 Magic Tesseracts  Ivars Peterson (MathTrek)
"It's natural to extend the concept of magic squares to three and four dimensions... In four dimensions, the equivalent of a cube is a hypercube, or tesseract. A tesseract has 16 vertices, 32 edges, 24 squares, and 8 cubes... John R. Hendricks, a retired
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 Making a Better Calendar (Math Chat)  Frank Morgan; Christian Science Monitor
Our current calendar divides the 365day year into 12 months, or 52 weeks plus one extra day. Find a better calendar system. For example, are 7day weeks best? Is there any way to avoid needing a new calendar every year?
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 Making Home and School Connections with Math Homework in a Bag  David A. Reid
Knowing that children's attitudes toward reading and their interest and curiosity about the world are greatly influenced by those closest to them, Reid has developed a program to encourage parental involvement in activities that connect mathematics carried
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 Mamikon  Mamikon Mnatsakanian
Thoughtprovoking Shockwave Flash animations of geometric constructions, graphs, games, and much more. Mnatsakanian's site http://www.mamikon.com/ links to dozens of the articles he has coauthored with Tom Apostol in journals such as American Mathematical
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 Manifolds and Cell Complexes  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to manifolds, spaces like the sphere which look locally like Euclidean space. In particular, these are the spaces in which we can discuss (locally) linear maps, and the spaces in which to discuss smoothness.
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 The Man Who Makes Sense of Numbers  Michael H. Martin, Fortune Magazine
A Fortune article describing the work of Yale professor Edward Tufte, author of the book The Visual Display of Quantitative Information, whose mission is to improve the way we visually present data and information.
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 The Map is Not the Territory  Malke Rosenfeld
Blog by a traditional percussive dancer (Appalachian style flatfooting and clogging and Canadian step dancing) who "teaches the math that directly relates to the process of making rhythm and patterns with the feet." Posts about the mathematics of percussive
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 Maps of Many Colors  Ivars Peterson (MathLand)
The 4color map theorem: are four colors always enough to fill in every conceivable map that can be drawn on a flat piece of paper so that no countries sharing a common boundary are the same color? A single shared point doesn't count as a shared border.
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 Marc Chamberland
A mathematician at Grinnell College interested in differential equations and dynamical systems. Resources for the 3x + 1 problem and the Jacobian Conjecture include papers to download in PostScript format and information and proceedings for related conferences.
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 MarisMcGwireSosa Numbers (Or: Mathematics Plays Baseball, Again)  Mike Keith
An article in the spirit of Playing with RuthAaron Pairs by Ivars Peterson, wherein in honor of the 62nd season home run hit by Mark McGwire on 8 Sept 1998 and Sammy Sosa on 13 Sept 1998, which eclipsed the longheld record of 61 by Roger Maris, Keith
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 Mark McClure
Mark McClure is an assistant professor at the University of North Carolina at Asheville researching real analysis, specifically fractal measure and dimension. Papers on these topics may be downloaded in gzipped PostScript format; a paper involving Julia
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 The Mark of Zeta  Ivars Peterson (MathTrek)
How mathematicians delve into the mysteries of prime numbers, the relation Euler discovered between the zeta function and prime numbers, and the Riemann hypothesis: Riemann found that his zeta function is zero for the values 2, 4, 6, and so on, and
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 Mark Tomforde's Website
Home page of a University of Houston math professor who focuses on functional analysis, "examining algebraic questions motivated by analysis and also studying algebras that are related to C*algebra." Tomforde maintains a repository of open problems for
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 Martinez Writings  Alberto A. Martinez
Sample the introduction from Negative Math, which shows that "unlike 2 + 2, some basic rules in mathematics were established essentially by convention.... We can make an algebra in which minus times minus is minus. And we can make another algebra in which
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