 Meaningful Learning Research Group  Dr. Joseph Novak
The group works with a number of common beliefs, primary among them the idea that the best way to teach is to determine what the student already knows, and then to teach from there. They believe that teaching and learning grounded in a coherent theory
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 Measure and Integration  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to measure theory and integration, the study of lengths, surface area, and volumes in general spaces. This is a critical feature of a full development of integration theory; moreover, it provides the
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 The Measurers: a Flemish Image of Mathematics in the Sixteenth Century  Museum of the History of Science, Oxford
From a 1995 exhibition centered around an unusual and important painting in the Museum's collection, known simply as 'The Measurers' (Antwerp, late 16th century). The painting depicts a range of practical activities, foremost among them mathematical instrument
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 Measuring What Counts: Executive Summary  MSEB, National Research Council
"'You can't fatten a hog by weighing it,' said a farmer to a governor at a public hearing in order to explain in plain language the dilemma of educational assessment. To be useful to society, assessment must advance education, not merely record its status...."
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 Mechanics of Deformable Solids  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to mechanics of solids: questions of elasticity and plasticity, wave propagation, engineering, and topics
in specific solids such as soils. History; applications and related fields and subfields; textbooks,
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 Mechanics of Particles and Systems  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to mechanics of particles and systems, which studies dynamics of sets of particles or solid bodies, including
rotating and vibrating bodies, using variational principles (energyminimization) as well
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 A Mechanism for Drawing Archimides Spiral  Liang Chen
A mechanism that can be used to draw Archimides Spiral, one of a group of curves that can be used for trisecting angles. The author's paper is available for downloading in postscript format.
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 The Median Isn't the Message  Stephen Jay Gould
A personal story of statistics and "stretching the truth with numbers"; according to Steve Dunn, "the wisest, most humane thing ever written about cancer and statistics. It is the antidote both to those who say that, 'the statistics
don't matter,' and
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 Medieval Harmony  Ivars Peterson (MathTrek)
Harmonic numbers. The history of mathematics contains many gems of mathematical reasoning and thought. At a Mathematical Sciences Research Institute meeting last October, number theorist Hendrik W. Lenstra Jr. of the University of California at Berkeley
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 Melkamu Zeleke
Melkamu Zeleke is a graduate student in combinatorics. His papers and solutions to some problems from American Mathematics Monthly and Math Magazine may be downloaded as TeX, .dvi, or PostScript files. The code for accompanying Maple packages RADON,
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 Melvyl Catalog: California Digital Library (CDL)  Regents of the University of California
A tenth library for the University of California (UC). A collaborative effort of the UC campuses, it is responsible for the design, creation, and implementation of systems that support the shared collections of the University of California. Includes the
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 Memory, Mental Arithmetic, and Mathematics  MacTutor Math History Archives
All the mathematicians whose biographies are given in the MacTutor archive exhibited extraordinary mental powers. This article examines a few mathematicians who showed extraordinary powers of memory and calculating, together with a number of people who
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 MendelWeb  Roger B. Blumberg
An educational resource for teachers and students interested in the origins of classical genetics, introductory data analysis, elementary plant science, and the history and literature of science. Constructed around Gregor Mendel's 1865 paper "Versuche
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 The Menelaus Theorem  Cut the Knot!, Alexander Bogomolny
Ceva's and Menelaus' theorems compared and two proofs of the latter. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right
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 Merlin's Magic Squares  Cut the Knot!, Alexander Bogomolny
The toy game of Merlin is not quite trivial and the mathematics is simple enough to provide an entertaining exercise in a Linear Algebra class. The original game is played on a 3x3 array of buttons that toggle between two states. The goal of the game
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 Mersenne Megaprime  Ivars Peterson (MathTrek)
On June 1, 1999, a participant in the Great Internet Mersenne Prime Search (GIMPS) discovered the the 38th known Mersenne prime  the first known prime number with at least 2 million decimal digits, more than twice as many as the previous record holder.
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 METRICATION: Just say, NO!  Thought You Should Know (TYSK)
TYSK opposes the forced implementation of the metric system on the American populace on three basic levels: practicality, functionality, culturally. News, Articles, Links.
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 Metric Conversion Blamed for Canadian Jet's Forced Landing  Jim Loy
The complete story for this headline for an AP news story, on July 29, 1983, when a measurement error in the "conversion and comunication" of metric weight and volume information caused a fuel shortage that forced a Boeing 767 to make an emergency landing.
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 MetroMath
MetroMath "finds researchbased ways to ensure that urban children learn the mathematics they need; that urban mathematics teachers are equipped with the most effective instructional strategies; and that the human resources of urban communities are used
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 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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 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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