 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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 MERLOT Mathematics Portal  MERLOT (Multimedia Educational Resource for Learning and Online Teaching)
Free highereducation online teaching materials, and a user community centered around those materials. Free registration allows users to create, contribute, collect, and comment on resources, or become a peer reviewer or guest speaker. The site offers
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 Metamath  Norman Megill
A site for proofs and logic. Includes: Metamath Solitairea Java applet that lets you build simple proofs in logic and set theory (builtin: the axioms of logic and ZFC (ZermeloFraenkel with Choice) set theory) with source code and other web resources;
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 metarith
metarith challenges you to add, subtract, multiply, divide, exponentiate, and basechange your way to a target value. Similar to the 24 game, this JavaScript lets you choose the countdown clock you race against, the size and sign of the quantities it
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 Metric and English Unit Conversions  Science Made Simple, Inc.
Convert between different unit measurements, both English and metric: area, length, temperature, time, volume, weight, or fruit (apples to oranges).
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 Metric and Imperial Conversion Calculators  Conversion4u.com
Convert temperatures, weights, lengths, areas, volumes, speeds, and times from metric to imperial or vice versa.
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 Metric conversion  Dejan Posedi
Convert units of length, weight, speed, temperature, time, volume, area, power and energy. Also available in German.
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 Metric Conversions
Online metric conversion calculators for length, area, volume and weight along with some of the units origins and some conversion tables for printing.
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 Metric Unit Conversion  GlobeFeed.com
Online metric unit conversion calculators for the units of weight, length, temperature, volume and area.
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 Metropolis walk  Vladimir Gusev
An applet illustrating the Metropolis walk, a statistical algorithm for numerical analysis, which can be used to generate any probability distribution. The applet uses the Metropolis walk to generate the most common Gaussian distribution.
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 MiaBella  MiaBella, LLC
Interactive tools for graphing in three dimensions with a WebGLcapable browser. JavaScripts include one for 3D multiple linear regressions and another for scatter plots.
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 Middle School Geometry (Manipula Math)  International Education Software (IES)
Over 50 applets illustrating topics from plane geometry: angles and parallel lines; congruent figures and triangles; quadrilaterals and conservation of area; similar figures; polygons; circles; and the Pythagorean Theorem.
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 Mighty Number
This "search engine for numbers" returns facts about figures, such as its square root, base 10 logarithm, and primality. Mighty Number also writes out quantities in several different languages (English, German, French, Spanish, and Swedish) and represents
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 Mike's Math Club  The Milken Family Foundation
A curriculum enrichment program, Mike's Math Club provides "handy hints" that promote mastery of such basics as doubledigit multiplication, and math games that show elementary school students how to use logic and deductive reasoning to create strategies
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 MiLearn High School Course Complements
Curriculumbased high school level math resources in an interactive, "concept, example, application" web design. Courses contain over 500 web pages of stepby step examples and solutions; free demos are available on the site. MiLearn also provides consulting
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 The Millennium Sphere  The Cooper Union
Jean Le Mee, Manuel A. Baez, and a team of their Cooper Union students submitted the Millennium Sphere for an international timecapsule competition sponsored by the New York Times Magazine. Watch a Shockwave animation of Ad Quadratum generation that
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 MiniWebtool  Kevin Liu
Online math tools include an average calculator, base converter, basen calculator, binary calculator, binary converter, binary to decimal converter, binary to hex converter, binary to octal converter, bitwise calculator, compound interest calculator,
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 The Mint  The Northwestern Mutual Life Insurance Company
Learn about starting your own business, saving and investing, government spending, making a budget, learning and earning (the financial rewards of finishing school), and your role in the economy. Lesson plans for parents and teachers include Financial
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 Mirek's Cellebration: 1D and 2D Cellular Automata explorer  Mirek Wojtowicz
A large (120+) collection of 1D and 2D Cellular Automata. The site includes a lexicon, gallery, pattern of the week, CA families, rules, patterns, and links, with a CA tutorial and art. Also free Windows and Java software running all listed rules. The
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 Miscellaneous (Manipula Math)  International Education Software (IES)
More than 30 miscellaneous Java applets, covering linear transformations of lattices and lines; the area of a parallelogram; inner products; complex numbers; fractals; vectors; life game; line and dot product; hyperbola; parabola; shadow trace; rectangular
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 Miscellaneous Mathematical Utilities  David Binner
Several online mathematical utilities intended for college and university students (math, physics, engineering, etc. students). Numerical utilities to solve (among others): N Equations in N Unknowns, Eigenvalues and Eigenvectors, Roots of Functions, and
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 Mission: Critical  San Jose State University, California
A selfpaced interactive tutorial for critical thinking. Introduce your students to the basic concepts of logic. Immediate reinforcement to a series of increasingly complex exercises is provided after each right or wrong answer.
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 Miss Lindquist: The Tutor  Neil Heffernan
A free Web tutoring system for middle school and high school students concentrating on writing expressions for algebra word problems. Teachers can assign portions of this site for homework, students can get help as they do their homework, and progress
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 The (Mock) Exchange  Sean Rasmussen
Most stock market simulators use real world stocks; as such, the virtual trader cannot affect the price of the shares. The (Mock) Exchange is a completely closed system, so a more realistic simulator; with each trade, you can potentially influence the
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 Models, Charts and Magnetic Data for Navigation  British Geological Survey
"Geomagnetic field models are used in navigation, geophysical surveys, oil production, and in scientific studies ranging from the upper atmosphere to the Earth's deep interior." In particular, produce free maps online using the BGS's World Magnetic 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 Calculator  Paul Trow
The Modular Arithmetic Calculator performs arithmetic modulo m, and calculates square roots when m is prime.
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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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 The Modular Forms Database  William Stein
A collection of tables related to modular forms, elliptic curves, and abelian varieties. With links to the WatkinsStein tables of elliptic curves; the Elliptic Curves Information Calculator; PARI & MAGMA (computer algebra) online calculators; links
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 Moneybee Multiplayer PreAlgebra  Jordan Pollack
Interactive peer tutoring site where pairs of learners create "coin puzzles" for each other to solve. Requires free registration, as this is an educational psychology research project.
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 Money Cents  MoneyCents, Inc.
Cartoon characters introduce the basics of saving and spending money. Interactive calculators to investigate sales and car loans, history quizzes, and Shockwave games.
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 Money Math  Education 4 Kids, Inc.
Three types of games at two levels of complexity: making change, spending money, and "Piggy Bank Breakin."
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 The Monkey Shakespeare Simulator  AardAsNails Software
Simulating monkeys typing randomly on typewriters, this Java applet displays output that matches text from any of Shakespeare's plays in realtime. To raise the chances of "interesting results within our lifetimes," this simulation runs at an accelerated
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 Monte Carlo Simulation  National Physical Laboratory
This online MonteCarlo simulator accepts parameters, then generates results for each run and a summary output.
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 Monty Hall Dilemma  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A full discussion (including simulation) of the famous "three doors" problem, also known as the Game Show problem.
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 Morley's Miracle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Interactive demonstrations and a detailed proof of Morley's Miracle: that the three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle. With linked references to other proofs.
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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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 Mortgage Amortization  Csaba Juhasz
This mortgage amortization calculator shows the breakdown between principal and interest and takes into account the impact of various extra payments while generating an amortization schedule. The creators invite WordPress bloggers and webmasters to incorporate
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 Mortgage Loan Calculator  John Saund
Free online calculators, with an emphasis on personal finance: mortgages (ARM vs. fixed rate mortgage, rent vs. buy), credit cards (debt management), auto loans (dealer financing vs. credit union financing), savings (CD ladders, inflation), investment
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 The Most Complex Machine: A Survey of Computers and Computing  David Eck
An introductory computer science textbook for anyone who wants to understand how computers work and what computer science is about. It is supplemented by free software available for Macintosh and in a Java version that can be used over the Web, and lab
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 Mothmatic Math Games  Craig Gibson
Animated games for practicing arithmetic skills.
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 Motivating Math  Robert Bunge
A math help site focusing on basic math through introductory algebra. Suitable for secondary students and adult learners. Includes tutorials, Javabased tools, and pedagogical ideas behind the presentation.
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 Mount Everest Math Puzzles  Paula Fleischer; Peachland Avenue Elementary School, Newhall, CA
Kids (or grownups) answer math questions and get passwords that allow them into 'camps' higher and higher on Mt. Everest until they reach the summit. At each camp they find photos of the mountain and climbers, and tackle progressively more complex math
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 Mozart's Musikalisches Würfelspiel: A Musical Dice Game for Composing a Minuet  John Chuang
During his life, Mozart wrote the measures and instructions for a musical
composition dice game that cuts and pastes prewritten measures of music together to create a minuet. Compose a minuet online in one of three ways: CGI generates all random numbers,
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 Mr. Hoffman's Home Page  Jim Hoffman
Assignments, notes, exams and interactive vocabulary quizzes (with answer keys) from Hoffman's own math and twodimensional computer animation high school classes. These materials are based on Saskatchewan Provincial Curriculum, and include Math 9, Math
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 Mr. Martini's Classroom: Math Practice
Flash cards for drill. Press the check to select 5, 10, 25, 50, or 100 card selfevaluation. Miminum verbage to make it accessible to nonEnglish speakers. Works best with later versions of IE but should work well with W3C Mozilla based browsers.
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 Mr. Myers' Classroom  Nathan Myers
Read the puzzle of the week and then submit your answers online. Other "brain busters" include matrix logic puzzles, featuring readymade charts. Explore and identify fraction bars with JavaScript, or geometry with Java applets. Also, fact sheets and
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 Mrnussbaum.com  Greg Nussbaum
Mrnussbaum's Math Lab has games such as Tony Fraction's Pizza Shop; Smart Poll; Cash Out (for practice making change); and Tackle Math Ball, Math Speed, Buffalo Math, and Math Fries (all timed games for practice adding, subtracting, multiplying, and dividing).
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