 5 Numbers  Simon Singh and Marcus du Sautoy, BBC Radio 4
Web pages and Real Audio Music downloads of fifteen minutelong radio broadcasts that take a "quirky look" at zero, pi, the golden ratio, i, and infinity. "Hear about the stark reality behind the imaginary number, try a slice of pi, find out about the
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 Books by Lillian Lieber  Lillian Lieber, Hugh Gray Lieber, Paul Dry Books
Paul Dry Books has republished three of Lillian Lieber's books on mathematics: The Education of T.C. MITS: What Modern Mathematics Means to You, Infinity: Beyond the Beyond the Beyond, and Einstein's Theory of Relativity. Lillian Lieber was the head of
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 Common Mistakes in College Mathematics  Eric Schechter
Pointers for students about mistakes in general mathematics and calculus. Errors include: everything is additive, loss of invisible parentheses, incorrect writing of fractions, derivative of x to the x, unbalanced differentials, and naive answers for
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 Computing in a Surreal Realm  Ivars Peterson (MathLand)
Even among mathematicians, the study of surreal numbers is an obscure pastime. Only a few have occupied themselves in recent years exploring the peculiarities of a number system that includes different kinds of infinities and vanishingly small quantities.
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 Discovering the Art of Mathematic  Fleron, Julian, et al.
Resources to help mathematics faculty teach the subject to liberal arts and humanities undergraduates by actively involving them in authentic mathematical experiences that "provide meaningful cognitive and metacognitive gains, and nurture healthy and
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 Encyclopedia of the Infinite  Johann Christian Lotter
The encyclopedia of infinity consists of concise and sometimes opinionated articles covering all aspects of infinity in science, mathematics, philosophy, and religion.
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 Fractals, Art, Pattern, Symmetry...  Clifford A. Pickover
Melding art, science, mathematics and other seemingly disparate areas of human endeavor. Links to detailed information on Pickover's books (of particular math interest are: Chaos and Fractals: A Computer Graphical Journey; The Loom of God; Fractal Horizons
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 Hotel Infinity (MegaMath)  Nancy Casey; Los Alamos National Laboratory
Will a hotel with an infinite number of rooms always have a vacancy? Students develop number sense, use numbers and number relationships in problemsolving situations, and communicate the reasoning used in solving these problems. Key concepts include
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 Ideas, Concepts, and Definitions (MegaMath)  Nancy Casey; Los Alamos National Laboratory
A glossary and reference page to help students learn more about mathematics and find out what some of the special words mean. Topics: Doing What Mathematicians Do; Truth and Proof; Mathematical Objects and Their Properties; Modeling and Abstraction; Algorithms;
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 Infinity: You Can't Get There From Here!  B. Sidney Smith; Math Academy Online/Platonic Realms
A "minitext" offering a concise introduction to the concept of infinity. Includes historical background, Cantor's set theory, and an introductory discussion of cardinality, as well as suggested reading.
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 Is Space Finite?  Luminet, Starkman, Weeks, Scientific American
Conventional wisdom says the universe is infinite. But it could be finite, merely giving the illusion of infinity. Upcoming measurements may finally answer this ancient question. Subtopics include: Comfort in the Finite; Eightfold; Cosmic Crystals; and
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 Mathematical Snippets  Mathematics Dept., Bellevue Community College, Bellevue, WA
Illustrated descriptions of six mathematical concepts: the Pythagorean Theorem, Archimedes' Tombstone, the Möbius Strip, the Koch Snowflake Curve, Plateau's Problem (minimal surfaces), and Counting to Infinity. Each snippet contains a very brief
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 Mathematics Illuminated  Annenberg Media
A video course for adult learners, high school and college teachers; 13 halfhour video programs, online text, course guide, and Web site; graduate credit available. "Rather than a series of problems to be solved, mathematics is presented as play we engage
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 Mathematics  John Savard
A collection of essays and illustrations: pentagonal tilings, infinity (Cantor's theory of transfinite numbers), rotations of the dodecahedron, Archimedean solids, the fourth dimension (regular polytopes), Gödel's proof and the halting problem, and
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 Mathematics  Nancy McGough, Infinite Ink
Infinite Ink's primary mathematical interest is foundations of mathematics, including standard and nonstandard logics, set theories, and other mathematical frameworks. This page contains links to other Web resources and information on Infinity, Set Theory,
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 MathNet  Philip Spencer, Dept. of Mathematics, University of Toronto
Resources for high school students: interactive activities (Classic Fallacies, Keep the Traffic Moving) and mathematically interesting games (Tower of Hanoi, Game of Nim, Monty Hall Problem), questions and discussion, answers and explanation, problems
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 Philosophy of Science  David Banach
A syllabus and collected resources for a course in the philosophy of science, including excerpts from various books. Topics include ancient Greek science and mathematics: the Golden Section, Pythagoras, infinity and continuity, and Plato and Aristotle,
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 Resource Material  Spencer, Chan; Univ. of Toronto Mathematics Network
A collection of resource material for use in classes or extracurricular activities in high schools: answers, explanations, and expositions of some common but deep math questions. In the process of answering three basic questions, this area delves into
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 Shai Simonson
Shai Simonson is an associate professor of computer science and mathematics at Stonehill College. The site contains the article "How to Read Mathematics," which uses the probability of two people having the same birthday as an example. The site also
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 This is MegaMathematics! (MegaMath)  Nancy Casey; Los Alamos National Laboratory
The frontier of mathematics is an exciting place, where mathematicians experiment and play with creative and imaginative ideas, many of them accessible to young children; others (infinity is a good example) whose profound mathematical importance is not
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 Two Equals One?  Jim Loy
A proof that 2=1, what's not "legal" about it, and a discussion of infinity.
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 Wireless Philosophy
Free videos on the practice of philosophy — teaching viewers how to develop critical thinking skills and do philosophy, rather than simply learn what philosophers have thought. See, in particular, Wi Phi's categories of videos on the philosophy
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 Writings from the MegaMath Project (MegaMath)  Casey, Fellows, Koblitz; Los Alamos National Laboratory
Documents containing classroom materials and discussions of mathematics pedagogy. The Los Alamos workbook; Lessons for math teachers; An hour in the classroom; Literacy lessons and mathematics learning; Computer science in elementary school; Combinatorially
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 Zeno's Paradox  Jim Loy
Among the most famous of Zeno's "paradoxes" involves Achilles and the tortoise, who are going to run a race. Achilles, being confident of victory, gives the tortoise a head start. Zeno supposedly proves that Achilles can never overtake the tortoise. A
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