Resource Material

Online

• Online, we have avaliable a collection of answers, explanations, and expositions of some common but deep questions. In the process of answering three basic questions, this area delves quite deeply into some advanced topics such as "what is a number system?". Check it out!

• We also have a short list of interesting reading material available.

Downloadable

• Scenarios From Recreational Mathematics
• Classic Fallacies

Other Formats

• Graph Theory. An enrichment module which can be discussed in class or given directly to bright students. It covers some interesting and advanced mathematics not normally seen at the high-school level.

• Insight. A series of questions, all at an elementary level. Each is designed to help students think in non-standard ways and develop a sense of insight into how to tackle mathematical questions.

• A Periodic Sequence and its Generalizations. The first in a series of modules prepared by Professor Edward Barbeau of the University of Toronto, this material starts with a simple sequence and uses it to explore a wide range of mathematical concepts at a variety of different levels.

• A Detailed Treatment of an Optimization Problem. This material takes a single calculus question and, by delving into all of its details, highlights a large number of important concepts.

For more information on any of these, or to receive copies by mail (for a nominal postage charge), please contact the Mathematics Network Coordinator Any Wilk. She can be reached by email at mathnet@math.toronto.edu.

Other Good Resources On The World-Wide Web

Alan Selby's Web Site is another site with interesting material and plenty of links to other places, as is the Learning in Motion site's list of mathematics links.

Interesting Books and Journals

Here is a short list of books that may be of interest to teachers and their students:

• George E. Martin, Polyominoes: a guide to puzzles and problems in tiling. Mathematical Association of America (MAA), 1991.

• B. Bolt, 101 Mathematical Projects. Cambridge.

• Brian Bolt, Mathematical Activities: a resource book for teachers. Cambridge, 1982.

• Paul R. Halmos, I Want to be a Mathematician. Mathematical Association of America (MAA).

• Steven G. Krantz, How to Teach Mathematics. American Mathematical Society (AMS), 1993.

• John Allen Paulos, Mathematics and Humor. Chicago Press, 1980.

• Annemarie Schimmel, The Mystery of Numbers. Oxford, 1993.

• Ed Barbeau, After Math: Puzzles and Brainteasers. Walls & Emerson, 1995.

• Brian Bolt, The Amazing Mathematical Amusement Arcade. Cambridge, 1984.

• Godfrey H. Hardy, A Mathematician's Apology. Cambridgge, 1967.

• Constance Kamii, Young Children Continue to Reinvent Arithmetic. New York: Teachers College Press, 1994.

• Andrew Sterrett, 101 Careers in Mathematics. Mathematical Association of America (MAA), 1996.

• Ed Barbeau, Five Hundred Mathematical Challenges. Mathematical Association of America (MAA), 1995.

• M. Dresher, The Mathematics of Games of Strategy. Dover, 1981.

• Marla Parker (ed.), She Does Math! Mathematical Association of America (MAA), 1995.

• Ed Barbeau, Power Play. Mathematical Association of America (MAA), 1997.

• Ravi Vakil, A Mathematical Mosaic. Brendan Kelly, 1996.

• T. F. Banchoff, Beyond the Third Dimension. Sc. Am. Library, 1990

• John Allen Paulos, A Mathematician Reads the Newspaper. Anchor, 1996.

These books, along with many of those listed below, can be found by a last name, first name search directly from the University of Toronto library web site:

http://utcat.library.utoronto.ca:8002/db/MARION/search.html.

The University of Toronto library web site will list many other books by the same author as well as books on related topics. These books may be very readily available through local libraries or bookstores. The University of Toronto's library web site will also list relevant publisher information needed to purchase the book. Books may also be ordered through the University of Toronto Bookstore: http://www.utpress.utoronto.ca/bstore/depthome.htm.

Here are some other books of interest:

• P.J. Davis and R. Hersh, The mathematical experience. Birkhauser

• A.K. Dewdney, The armchair universe: an exploration of computer worlds. W.H. Freeman, 1988

• Martin Gardner, The Scientific American book of mathematical puzzles and diversions. Simon and Schuster, 1959

• Martin Gardner, The 2nd Scientific American book of mathematical puzzles and diversions. Simon and Schuster, 1961

• Martin Gardner, More mathematical puzzles and diversions. Penguin, 1961

• Martin Gardner, New mathematical diversions from Scientific American. Simon and Schuster, 1966

• Martin Gardner, Mathematical carnival. Vintage, 1977

• Martin Gardner, Mathematics magic show. Knopf, 1977

• Martin Gardner, The unexpected hanging and other mathematical diversions. Simon and Schuster, 1969

• Martin Gardner, The sixth book of mathematical games from Scientific American. Scribner, 1975

• Martin Gardner, Mathematical circus. Vintage, 1981

• Martin Gardner, Wheels, Life and other mathematical amusements. Freeman, 1983

• Martin Gardner, Penrose tiles to trapdoor ciphers - and the return of Dr. Matrix. Freeman, 1989

• Martin Gardner, Riddles of the sphinx. MAA

• J. Gleick, Chaos. Viking

• P. Hoffman, Archimedes' revenge. Norton, 1988

• J.R. Newman, The world of mathematics. Simon and Schuster, 1956

• D. Shasha, The puzzling adventures of Dr. Ecco. W.H. Freeman, 1988

• R. Smullyan, What is the name of this book? Prentice-Hall, 1978

A journal of interest is Mathematical Mayhem, whose current editors are undergraduates at the University of Toronto. You can find more information about it on their web page.