 The Math Less Traveled  Brent Yorgey
A blog "dedicated to exploring beautiful mathematics." Posts, which date back to March, 2006, have included "Proof by animation," "The Nuclear Pennies Game," "Recounting the Rationals," "Predicting Pi," "Square roots with pencil and paper," "Irrationality
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 Mathletics (Question Mark Perception)  Martin Greenhow; Brunel and Portsmouth Universities, UK
Submit answers, and receive automated evaluations with comments, on arithmetic, fractions and percentages, algebra diagnostic tests (GCSE level); elementary probability and statistics; complex numbers and number bases other than 10; handling brackets,
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 Mathlinks.info  Ronald N. Gibson, M.D.
A portal to mathematics resources on the internet; links to collegelevel mathematics sites, categorized.
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 Math Magic  Erich Friedman
A site devoted to original mathematical recreations. If you have a math puzzle,
discovery, or observation, you are invited to email the author. You can also submit answers to the problem of the month; questions and solutions are archived. Examples include:
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 Math Movement  Tim Chartier
Blog that focuses on mathematics and the "progress or movement" that occurs in Chartier's teaching, research, writing, and performing. An Associate Professor of Mathematics at Davidson College, Chartier has trained at Le Centre du Silence mime school
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 Math Mutation  Erik Seligman
These "show notes" accompany a short podcast of the same name that explores "fun, interesting, or just plain weird corners of mathematics that you probably didn't hear in school." Posts, which date back to December, 2011, have included "Flat People Give
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 Mathology  Il portale della matematica  Nicolò Martini
Articles about algebra, analysis, calculus, topology, metamathematics, number theory, etc. In Italian.
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 Math Pages  Kevin Brown
A collection of over 600 brief articles covering a huge variety of mathematical topics. Contents include: Number Theory; Combinatorics; Geometry; Algebra; Calculus and Differential Equations; Probability and Statistics; Set Theory and Foundations; History
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 MathPages Most Wanted List  Kevin Brown
Informal notes by Kevin Brown: an elementary list of unsolved problems  elementary because no special background is required to understand them, and "unsolved" because Brown doesn't know the answers, they've been posted on the newsgroup sci.math, and
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 Math Professor Quotes
Blog of "the absurd things math professors say." Submit your own teacher's quirky headscratchers, or browse the collective archive, which dates back to July, 2012.
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 Math  Science Search
Science Search is a directory for scientific topics, including this subsection of Math. Individual entries include description, category, and a user rating of the site.
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 The Maths Faculty  James Harris, University of Leeds
Free podcasted lectures of UK academics speaking on topics from the UK high school curriculum and major exam boards (AQA, Edexcel, and OCR). Created by the University of Leeds with funding from the Higher Education Funding Council of England.
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 The Maths Igloo  Ian Lynagh
Contents: Pi (generating Pi and where you can get it on the 'net); Four plus five (it's nine, isn't it. Or is it?  binary, hexadecimal); All about logarithms; About the Mathematical symbol "e".
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 MathSource  Wolfram Research
An extensive electronic library of Mathematica material and notebooks, with over 100,000 pages of immediately accessible Mathematica programs, documents, examples, and more. You may browse the archive or search by author, title, keyword, or item number.
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 Math Thinking  David Wees
"Sharing thinking about math from students": a collection of work by students that teachers have not taught them explicitly how to do. Wees elaborates that "the idea or technique a student uses does not itself have to be completely original, just new
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 MathWare Ltd.
Software and books for algebra, geometry and calculus: Derive, MathPert, Scientific Notebook, Cyclone; books for use with the TI Graphing Calculators, and a book and CD for Mathematica. Also an Interactive Math Dictionary on CDROM with biographical entries,
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 MathWorld: Eric Weisstein's World of Mathematics  Eric W. Weisstein and Wolfram Research, Inc.
A fulltext searchable, comprehensive alphabetical encyclopedia of math terms, equations, and derivations, with explanations, examples, references, and much more. Everything from Abacus to Zsigmondy Theorem. (Formerly the CRC Concise Encyclopedia of Mathematics,
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 Math WWW VL: Specialized Fields  Dept. of Mathematics, Florida State University
Links to sites for resources in specialized fields in collegelevel mathematics.
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 Mathzone  Angelo Mingarelli, Carleton University
Mathzone features online calculus quizzes and exams, as well as one testing "everyday math." It also offers several downloadable programs, including a Javascript applet about the 3n+1 sequence, and a demo version of software that qualitatively plots polynomials
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 matthen  Matthew Henderson
"Things of interest in maths & science" created by a PhD candidate in Statistical Dialogue Systems who majored in mathematics as an undergraduate. Posts date back to March 2011, and routinely feature Henderson's original animated gifs: "Orbits around
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 Maxima: a GPL CAS based on DOEMACSYMA
Free, opensource computer algebra software. Extensive notes for users and programmers, and a bugreporting system, available here.
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 The Mayan Numerals  Michiel Berger
(See also the Maya Calendar page.) Instead of ten digits, the Mayans used a base number of 20. They also used a system of bars and dots as "shorthand" for counting: a dot stood for one and a bar stood for five. This page provides a table of numerals and
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 MCS Problem of the Month  California State University, East Bay
Calculus, number theory, probability and other collegelevel problems by Dan Jurca and his colleagues in the CSUEast Bay Math and Computer Science Department. The archive of POMs, with solutions, dates back to 1995.
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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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 mikesmathpage  Mike Lawler
Blog by a former math professor "writing about math with my kids." Posts, many with videos of Lawler and his children at a whiteboard, date back to November, 2013: "Day in the life of a home school dad," "Family Math and paper folding," "Fun with James
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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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 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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 Monthly Themes  NRICH Maths, Univ. of Cambridge
Past problems from the NRICH Online Maths Club, archived by month. Each problem has a symbol indicating the stage, which tells you how little or how much mathematics you need to know to solve the problem but is no indication of its difficulty. The five
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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:
x^m + y^n = z^r. The idea is to look for whole number solutions to this equation where the
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 Mrs. Glosser's Math Goodies  Gisele Glosser
Interactive math lessons that work online and offline in a Web browser, and provide immediate feedback to students, with in addition Worksheets (on circumference and area; exponents; expressions and equations; integers; Ocean Math; order of operations;
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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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 Mudd Math Fun Facts  Francis E. Su; Mathematics Dept., Harvey Mudd College
A site developed as a resource for professors wishing to enrich their courses with mathematical 'fun facts': more than 100 5minute math tidbits that can be used at the beginning of class to get students interested in mathematics. They are best used in
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 The Music of the Primes  Marcus du Sautoy
An article on the Riemann Hypothesis, "the greatest unsolved problem of mathematics."
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 New York Journal of Mathematics (NYJM)  Mark Steinberger, Editor in Chief
Fully searchable research and universitylevel articles, such as "A Mathematical Theory of Origami Constructions and Numbers." With instructions for authors.
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 Noga Alon
Noga Alon researches combinatorics, graph theory, their applications to theoretical computer science, combinatorial geometry and number theory, and the relationship of combinatorial algorithms and circuit complexity. Some of his papers, along with a
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 Noncommutative Geometry, Trace Formulas and the Zeroes of the Riemann Zeta Function  Alain Connes
Lecture notes offering a general introduction to noncommutative geometry and a discussion of a fundamental example of noncommutative space related to the Riemann zeta function.
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 Nonlinear Dynamics (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
Links to sites on nonlinear dynamics, chaos and turbulence studies, complex systems and visualization, continued fractions and chaos, dynamical systems and technology, dynamics and stability of systems, with indications of level and type of resource offered.
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 Nonstandard Analysis and the Hyperreals  Jordi Gutierrez Hermoso; Math Forum, Ask Dr. Math FAQ
An essay introducing the most basic ideas of nonstandard analysis and the hyperreal number system. Contents: A Very Brief History of AlmostNothing and MorethanEverything; The Hyperreal WishList; Construction of the hyperreal numbers; Hyperreal arithmetic;
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 NOVA Online: Hunting the Hidden Dimension  Public Broadcasting System (PBS)
The PBS television series NOVA has produced a program about fractals, their impact on the world of mathematics, and the way they're shaping our understanding of nature. In addition to the program itself (in five chapters), the website offers a program
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 NOVA Online: The Proof  WGBH, Public Broadcasting System (PBS)
For over 350 years, some of the greatest minds of science struggled to prove what was known as Fermat's Last Theorem  the idea that a certain simple equation had no solutions. This site includes an interview with Andrew Wiles (the man who spent seven
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 NSDL Middle School Portal: Math Pathway  NSDL; the Ohio State University
A middle school portal into NSDL's math resources, browsable by topic, or choose a preselected set of resources on given subjects.
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 NT Number Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Number Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Number Bases  Math Forum, Ask Dr. Math FAQ
What is base 10? Binary? Hexadecimal? How can you convert from one base to another?
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 Number Dictionary  Gerardis Giannis, Tsibourakis Dimitris
Enter a number to see its characteristics, such as primality, Fibonacci numbers, factorization, sum of first primes, sum of two squares, triangular numbers, roots, perfect numbers, and more...
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 The Number Empire  Vitalii Vanovschi
Enter a positive integer up to 10^12, press the "Go!" button, and The Number Empire states  in yes/no format  whether you entered a prime number, a Bell number, a Catalan number, or a factorial. The same single click displays the integer written out
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 Number Gossip  Tanya Khovanova
Searchable database up to the number 10,000. Checks more than 40 fun predefined properties of numbers, and shows many original and unique properties of an input number. See also this math coach's math blog, lectures, and more from her home page.
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 Number Pi and Golden Section: the decimals occurrences are not random  JeanYves Boulay
An exploration of the occurrence of patterns of the digits in decimal representations of pi and the golden section.
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