 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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 Mr. Schlytter's Mathematics Site  Eric Schlytter
Links to interactive math activities intended to engage students in learning.
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 MSTE Java  University of Illinois at UrbanaChampaign (UIUC)
Javabased activities submitted to MSTE, the Office for Mathematics, Science & Technology Education at UIUC. Topics include: best fit; box perimeter; Buffon's needle; CAD viewer; cereal box problem; chisquared test analysis of random marbles; cliff
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 m@th IT
A "platform to promote, propagate, and mediate applied mathematics and computer sciences," with emphasis on cryptography, number theory, financial mathematics, logic and knowledge representation, and quantum computation. In particular, m@th IT offers
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 Mucho Math  Jake Enfield
Flash program for students to learn math vocabulary and mental math tricks through best practice teaching methods (discovery learning, scaffolding, spiraling, and customized learning). Teachers can create an account and add one student for free to try
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 The Mult Applet  Philip Lin
A Java applet for practicing multiplication tables. Tables from 2 to 9 are scrambled and displayed with blanks for the answers. Enter your answers; if you miss any, you get a chance to correct them. If you get them all right the first time, the applet
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 Multiplication of Decimals  H. B. Meyer, FaustGymnasium Staufen (Mhb)
Interactive training: multiplication of decimals (requires JavaScript). The user has to fill in boxes with proper digits to practice the multiplication algorithm. Problems may be posed either by the user or by the computer. A German version is available.
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 Multiply!  Dani Kenli
Enter your name and press the "Click to start" button, then key in the products indicated to compete in this selfdescribed "International Multiplication Championship," which ranks your speed and accuracy in a table of the world's multipliers. Refresh
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 Music through the Curriculum  Phil Tulga
Developers of math programs such as "Math and Music," which teaches students how to "hear" math (what does a fraction sound like? how about a shape?); and "Math, Science and Sound," an assembly and family night program that connects thunder, volcanoes,
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 My Dear Aunt Sally  Ron Larson
The game "My Dear Aunt Sally" reinforces number sense, from single operations on whole numbers to multiple operations on rationals. Features hints; audio in English or Spanish; hundreds of difficulty levels; animations of Aunt Sally and her animal friends;
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 My Magic Square  Michael Dormann
Enter a number from 23 to 100, then press the calculate button to see a completed 4x4 magic square, of which any row, column, diagonal, the center square, and the four corners each sums to the number entered.
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 My Math Games  MyMathGames.com
Online math games for elementary topics, plus the mean value theorem of calculus.
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 My Math Man  Francis (Bud) Leverone
Narrated slides and interactive practice to accompany Glencoe and Chicago textbooks on algebra and geometry topics.
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 MyMathMind.com  Michael Graz
Online times tables learning system. Demonstration and free trial available.
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 MyMaths  Alan Jackson
A feebased repository of lesson plans, including "boosters" specifically for UK Year 9, "Grade D to C," and higherlevel GCSE students. A subscription also provides for MyMaths' class management system. Take a tour of the resources and sample lesson
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 MY NASA DATA  NASA Langley Research Center
Webbased data, data analysis tools, and lesson plans. Mentoring and inquirY using NASA Data for Atmospheric and earth science for Teachers and Amateurs (MY NASA DATA) is a project to enable K12 teachers and students, as well as citizen scientists, to
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 My Schoolhouse  Educational Designers, LLC
Elementary online worksheets in math, reading, spelling, science, language, and social studies. Could be used as a curriculum outline. Subscription required; free samples available.
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 Napier Bones  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java simulation of the Napier bones, simple device for multiplying numbers, here used to demonstrate multiplying in bases other than ten.
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 Napoleon's Theorem  Cut the Knot!, Alexander Bogomolny
On the sides of a triangle construct equilateral triangles (outer or inner Napoleon triangles). Napoleon's theorem states that the centers of the three outer Napoleon triangles form another equilateral triangle. The statement also holds for the three
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 NASA Kids' Club  National Aeronautics and Space Administration (NASA)
The NASA Kids' Club Web site offers K4 users advancing skill levels as they play games and learn science, technology, engineering and math concepts.
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 National Centre for Excellence in Mathematics and Science Teaching and Learning  University of Limerick
Ireland's NCEMSTL researches, coordinates, supports, develops and implements programmes to enhance Irish science and mathematics teaching and learning at all levels. Read Centre publications and reports; learn about its courses and other events. Register
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 National Curve Bank  Gray, Venit; California State University, Los Angeles
Animation and interaction, and geometric, algebraic, and historical aspects of curves. Topics include Calculus, PreCalculus, History of Math, Limits, and Fractals. Submissions are encouraged.
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 National Library of Virtual Manipulatives for Interactive Mathematics (NLVM)  Cannon et al., Principal Investigators; Utah State University
Java applets and other virtual manipulatives cover mathematics appropriate to grades K12, with a special emphasis on K8. Browse by grade band or by math topic: number and operations, algebra, geometry, measurement, and data analysis and probability.
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 NationMaster.com  Luke Metcalfe
A website for generating graphs and correlations based on numerical data extracted from the CIA World Factbook, United Nations, World Health Organization, World Bank, World Resources Institute, UNESCO, UNICEF, OECD, and other sources of indicators that
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 Nautilus  Nautilus Ventures LLC
An online and print monthly dedicated "to science and its endless connections to our lives." Each issue contains chapters — essays, investigative reports, blogs, fiction writing, games, videos, graphic stories, and other original content —
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 NCTM Standards (Standards 2000)  National Council of Teachers of Mathematics (NCTM)
NCTM's Principles and Standards for School Mathematics is the compilation of the lessons learned and experiences gained over the years since the 1989 Standards were released. The site features include: an online version of the Standards (including illustrations,
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 Ndimensional Cube Projection  Andrew Wallace
A Java applet based on the work of Jonathan Bowen that projects a twodimensional representation of a cube in any dimension from 2 to 15. The controls allow you to choose how the lines will be coloured, and how many dimensions to draw.
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