 Michael Serra
From the author of Discovering Geometry: An Investigative Approach and Smart Moves: the Games and Puzzles series; videos such as DG Investigations and "How to Teach Math Anxiety"; articles and handouts on cooperative learning; speaking engagements and
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 Michael Singer
Differential (and difference) Galois theorist, algorithmic analyst, and computer algebraist, and professor at North Carolina State University. Available here: books and papers, some in PDF, PostScript, or .dvi versions; course notes for Computational
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 Michel Delord
Ce site est "dédié aux parents qui s'inquiètent que leurs enfants ne sachent toujours pas faire une division en Cours Moyen à qui on a répondu, 'Vous êtes des rétrogrades.'" Lisez les dernier fichiers et
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 Michigan Math Scholars
A summer program for high school students at the University of Michigan. Program information, mathematics news, a student paper ("On the Problem of Dividing a Clock Face Into Equal Thirds"), several online courses (The Nature of Infinity; Chaos; Graph
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 Microsoft in Education  Microsoft Corporation
Organized into K12 education, higher education, academic products and pricing, and education resellers and business partners. Math, Economics, and Science Lessons for using Office in the classroom use Word, Excel, Power Point, and Internet Explorer to
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 The Middle East  Mathematics and the Liberal Arts  Todd Hammond
Notes on published articles: a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and on the connections between mathematics and other disciplines.
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 MiddleSchoolPortal/Math Assessment  NSDL wiki: Terese Herrera, The Ohio State University
Background information, resources for preparing students and implementing assessments in the classroom, and practice problems for students to familiarize them with the different types of assessments.
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 Millennium Primes  Ivars Peterson (MathTrek)
The arrival of the year 1999 and the impending transition to 2000 has captured the attention of people who like to play with integers. Consider 1999. It's a prime number, meaning that it is evenly divisible only by itself and 1 (see
Prime Talent). As
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 Millionaire's Paradox (Math Chat)  Frank Morgan, MAA Online
Answering the challenge: What should your strategy be if the $500,000 question is: "With how much money will you leave here tonight: (A) $32,000 (B) $250,000 (C) $500,000 (D) $1,000,000"? Math Chat thinks that the wisest course is to walk away with the
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 MindTool Resource Page  Gary Lewallen
Mindtools are those computerbased technologies and programs that foster and facilitate critical thinking. A collection of online and print resources for databases, spreadsheets, programming, expert systems, and more, each categorized according to grade
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 Mind Your Decisions: Game Theory Tuesdays  Presh Talwalkar
An archive of weekly blog posts of articles about game theory. The articles cover probability, politics, personal finance, and economics. The focus is on building strategic thinking and improving outcomes, particularly for personal finance.
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 Minerals, Crystals and Their Systems  Charles LewtonBrain
An introductory listing of definitions and nomenclature concerning gem materials. Includes geometric and symmetrical properties of some gemstones, with diagrams, and major gemstones listed by crystal system.
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 Minesweeper Logic  Ivars Peterson (MathTrek)
In the basic version of this Windowsbased game, the player faces a gray landscape of 64 blank squares in an eightbyeight grid. The object is to locate 10 randomly placed "land mines" hidden among the playing field's squares, working as quickly as possible
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 Minimal Snow  Ivars Peterson (MathTrek)
For a truly cool experience, there's nothing like transforming a 12foot, 20ton block of manufactured snow into a giant sculpture. That's the premise underlying the Breckenridge snow sculpture championships in Colorado, held annually in January. This
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 Minimal Surfaces and Soap Bubbles  J. A. Sethian
Level Set Methods for Minimal Surfaces. A paper and movie about soap bubbles. Given a wire frame, how can one find a minimal surface that spans the frame? Motion under curvature provides an appealing way to find the surface. To illustrate the idea, what
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 A Minimal Winter's Tale  Ivars Peterson (MathTrek)
For the second year in a row, a team assembled by mathematician Stan Wagon of Macalester College in St. Paul, Minn., participated in the Breckenridge snow sculpture championships in Colorado. In its debut effort last year, the team carved a huge block
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 Mining Prime Terrain  Ivars Peterson (MathLand)
Venturing again into largely unexplored digital territory, computer scientists at Cray Research have unearthed another gargantuan prime number, setting a new record for the largest known prime. This number, 2^1,257,787  1, has 378,632 digits, putting
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 Ministry of Education  British Columbia, Canada
Useful info for students, teachers, parents, and administrators, including Ministry programs and services, publications, and links to related sites.
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 Minorities & Mathematics  Key Issues in Mathematics at the Math Forum
Find sites relevant to mathematics and minorities such as African Americans, Hispanics, and Native Americans in the Math Forum's Internet Mathematics Library.
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 Mirror Bounces  Ivars Peterson (MathLand)
In a game of mathematical billiards, one ball moves across the table at a constant speed forever. There's no friction to slow the ball down. It simply travels in a straight line until it hits a cushion and rebounds according to the rule that the angle
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 Mirror Curves  Slavik Jablan, Mathematical Institute, Belgrade
Making art by repeating a curve to make a more complicated design, by symmetry/reflection. This paper illustrates Tamil threshold designs, Lunda and Chokwe sand drawings, and the knots/curves of Leonardo da Vinci.
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 Mirror, Mirror (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
If you stand between two mirrors that are parallel to each other, one in front of you and one behind, you see countless images of yourself. Light rays bounce back and forth between the mirrors to create that endlessly repeated pattern.
What happens when
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 The Missed Physics of SourceFree Magnetic Fields  Bibhas R. De
This paper proposes a fundamentally new discovery in physics, suggesting that Maxwell's equations have another solution beyond the electromagnetic waves: The sourcefree static magnetic field structures. See also Source Free Magnetic Structures, a paper
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 MIT EVAT Committee Report on the Uses of the WWW  Ad Hoc Committee, Massachusetts Institute of Technology
A study of opportunities for the use of advanced technologies such as the WWW in education by an ad hoc committee appointed by the President of MIT and calling itself EVAT, for "Education Via Advanced Technologies." A number of recommendations were made
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 Mixed Sums of Primes and Other Terms  ZhiWei Sun
The webpage collects materials related to ZhiWei Sun's recent conjectures on mixed sums of primes and other terms which "seem more difficult than the Goldbach conjecture." Sun offers prizes for proofs and counterexamples, and invites ideas and suggestions.
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 Models of the Hyperbolic Plane  The Geometry Center
Descriptions of three hyperbolic plane models: the Klein model, the upper half plane model, and the Poincare model.
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 Modes of Thinking  Cut the Knot!, Alexander Bogomolny
Mathematics is verbal for it's a language, and it is abstract for in its heart one finds proofs and axiomatizations. It is symbolic, rational, logical, and, nowadays, it is very digital. These are all indications that mathematics is firmly entrenched
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 Modular Arithmetic  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An essay on modular (or modulo) arithmetic, an unusually versatile tool discovered by K. F. Gauss (17771855) in 1801, with related links.
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 Modularity in Art  Slavik Jablan, Mathematical Institute, Belgrade
Jablan uses the word "modularity" to refer to the process of making art by repeating a simple block, tile, or motif to make a more complicated design, by symmetry/reflection and/or tessellation. This site includes a paper on such art and its math, linked
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 Mohamed Ali Hafiz
Home page of a math professor at Najran University. Research by the applied mathematics PhD has appeared in European Journal of Scientific Research, Palestine Journal of Mathematics, British Journal of Mathematics & Computer Science, and other publications:
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 Molecular Information Theory and the Theory of Molecular Machines  Tom Schneider
Introduction to the use of information theory in studying molecular biology. The author is part of the Molecular Information Theory Group, a section of the Laboratory of Computational and Experimental Biology at the National Institutes of Health in Frederick,
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 Moment of Truth  Keith Devlin (Devlin's Angle)
"Just what do we mean by a 'proof'? It seems that mathematicians  and to avoid generating too many letters of complaint, let me hasten to rephrase that as 'we mathematicians'  are somewhat schizophrenic when it comes to answering this question. When
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 MoneyWise: Parents & Educators  Charles Schwab & Co., Inc.
Resources for teaching kids and teens money basics: articles; handson activities; life lessons; families & money surveys; questions and answers from Schwab's "Ask Carrie" service on everyday financial challenges; workshops, curricula, and more.
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 Monocosm: Introduction to Linear Xenology  Vladimir Trifonov; American Mathematical Society (AMS)
A ToposTheoretic Approach to the Foundations of Physics. The FourDimensionality Problem: Why does observable spacetime look fourdimensional? is related to the Compactification Problem. The Effective Metric Signature Problems: Why is the metric of signature
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 Monopoly Dollars and Sense  Ivars Peterson (MathLand)
The same rules underlie all of the varied editions of Monopoly, which feature themes ranging from golf to your favorite city. It's possible to describe the game in terms of a mathematical construction called a Markov chain, named for the Russian mathematician
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 Monthly Labor Review Online  Bureau of Labor Statistics
A journal from the Bureau of Labor Statistics that publishes both public and private research into the labor force, the economy, employment, occupational injuries and illnesses, wages, prices, etc. Abstracts of and excerpts from current articles may
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 More Complicated Than It Seems  Kate Nonesuch
In this review of the literature of approaches to adult numeracy instruction, Kate Nonesuch asks the question, "How can ABE math instructors apply research findings to their own teaching practice?" Through an extensive literature review and ongoing discussions
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 More than Just a Plane Game  Ivars Peterson (MathTrek)
When topologists started to explore the world of geometric forms in higher dimensions, they found that neither the intuition nor the vocabulary of ordinary geometry was sufficient to describe and classify the new forms they discovered. They introduced
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 More than Magic Squares  Ivars Peterson (MathLand)
Peterson writes about magic squares, quoting Benjamin Franklin's interest in them. In addition to giving a few examples, Peterson also mentions Victor E. Hill IV's musing about whether the discoverer of the magic square actually set out to find an example
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 Morley's Pursuit of Incidence  Cut the Knot!, Alexander Bogomolny
With all the geometric context of his theory (applets are provided for explorations), Morley's method is purely algebraic, founded on the theory of complex numbers. Curves are mappings x = f(t) from the unit circle. x = X + iY, where X and Y are the plane
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 Morley's Redux and More  Cut the Knot!, Alexander Bogomolny
In 1998 Alain Connes  a French Fields medalist  published a new proof of Morley's theorem (the three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle).
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 Morphing Art (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
When you're riding along on your bike or in a car, you sometimes see the word "ONLY" painted on the roadway just before an intersection. The white letters look normal from where you're sitting. But if you were standing beside the "ONLY" instead of riding
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 Motion of Fluid Interfaces  J. A. Sethian
A paper and movie about a rising bubble. Imagine an air bubble rising in water, a thermal of hot air rising on a cold day, or smoke rising out of smokestack. In each case, the interface between the two fluids will change dramatically as the fluids move.
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 Motion under Curvature  J. A. Sethian
A paper and movie of a curvature collapse. A famous theorem in differential geometry, proved less than ten years ago, says that any simple closed curve moving under its curvature collapses nicely to a circle and then disappears. That is, no matter how
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 MOTIVATE  Univ. of Cambridge, UK
MOTIVATE is a project incorporating a series of videoconferences, run by the Millennium Mathematics Project at Cambridge. The objectives of MOTIVATE are: to enrich the mathematical experience of school students, to broaden their mathematical horizons,
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 Move Over Fermat, Now It's Time for Beal's Problem  Keith Devlin (Devlin's Angle)
Beal's Problem is like Fermat's, but instead of focusing on equations with one exponent, n, there are three: m, n, and r. Thus, Beal's equation looks like this:
xm + yn = zr. The idea is to look for whole number solutions to this equation where the solution
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 MSEB Classics  Mathematical Sciences Education Board, National Research Council
Reports issued between 1990 and 1995, from the MSEB: Mathematical Preparation of the Technical Work Force: Report of a Workshop; What Should I Look for in a Mathematics Classroom?; Achieving Quality in Undergraduate Mathematics (see also Looking for Gauss...or
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 MSRI Journal  Ivars Peterson (MathTrek)
The new journalistinresidence program at the Mathematical Sciences Research Institute (MSRI) in Berkeley, California represents one effort to improve communication of mathematics. Peterson will spend the summer of 1999 there.
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 MSRI Reflections  Ivars Peterson (MathTrek)
Thoughts about and a description of Berkeley, California's Mathematical Sciences Research Institute, an important center of the mathematical world.
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 Multicultural Pavilion, University of Virginia  Paul Gorski
Sites for educators interested in multicultural issues. Resources for teachers, including reviews of children's music, multicultural activities, online archives, and links to multicultural websites; papers, book reviews, and published materials; statistical
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