Great Circles References for Math Circle Organizers | National Association of Math Circles

Resources Available on the Internet

Art of Problem Solving Foundation http://www.artofproblemsolving.org/programs.htm

Cogito http://www.cogito.org/

Cut The Knot: Interactive Mathematics Miscellany and Puzzles http://www.cut-the-knot.org/

Math Forum at Drexel http://mathforum.org/

Mudd Math Fun Facts http://www.math.hmc.edu/funfacts/

Natural Math http://www.naturalmath.com/

NRICH http://nrich.maths.org/public/

Tom Davis’ Mathematical Circles Topics http://www.geometer.org/mathcircles/

Ramsey@homehttp://www.ramseyathome.com/ramsey/

Book Lists

AMS Mathematical World Series for High School Students http://www.ams.org/bookstore/mawrldseries

AMS Student Mathematical Library for Undergraduate Students http://www.ams.org/bookstore/stmlseries

AMS MSRI Mathematical Circles Library http://www.ams.org/bookstore/mclseries
Andy Liu’s book list http://journals.cms.math.ca/cgi-bin/vault/public/view/CRUXv24n1/body/PDF/page12-17.pdf (see page 12-17)

Australian Mathematics Trust http://www.amtt.com.au/

MAA Catalog http://www.maa.org/pubs/2009catalog.pdf

Reference Books

Andreescu, Titu, Razvan Gelca and Mark Saul Mathematical Olympiad Challenges; Birkh¨auser; 2008.

Andreescu, Feng, & Lee (2003) Mathematical Olympiads 2000-2001: problems and solutions from around the world

Becker, Jerry P. (Editor), Shigeru Shimada (Editor) The Open-Ended Approach: A New Proposal for Teaching Mathematics (Paperback). National Council of Teachers of Mathematics (May 1997)

Conway (with E.R. Berlekamp and R.K. Guy), Winning Ways, for Your Mathematical
Plays, Vol. 1: Games in General, Vol. 2: Games in Particular, New York-London:
Academic Press, 1982, ISBN: 0120911027, Paperback (August, 1982), Academic
Press, ISBN 0120911027.

D’Angelo (2000) Mathematical thinking: Problem-solving and proofs, 2nd ed.

Engel (1998) Problem-solving strategies

Eves (2003) Mathematical circles revisited & mathematical circles squared

Faires, J. Douglas First Steps for Math Olympians: Using the American Mathematics Competitions; MAA; 2006.

Fomin, Dmitri Mathematical Circles: Russian Experience (Mathematical World, Vol. 7); AMS; 1996.

Gardner (1989) Mathematical magic show: more puzzles, games, diversions, illusions & other mathematical sleight-of-mind from Scientific American

Gardner (1995) New mathematical diversions, rev. ed.

Gardner (2001) Mathematical puzzle tales
Gardner, Albers, & Renz (2005) Martin
Groetsch (1999) Inverse problems: activities for undergraduates
Hall, Suzanne M. Mathematical Challenges for the Middle Grades; NCTM; 1993.

Hayes, David F. and Tatiana Shubin Mathematical Adventures for Students and Amateurs; MAA; 2004.

Honsberger (1998) Ingenuity in mathematics

Hull (2006) Project origami: activities for exploring mathematics

Kaplan, Robert and Ellen Out of the Labyrinth: Setting Mathematics Free; Oxford University Press; 2007.

Kaplan, Robert and Ellen The Art of the Inﬁnite: The Pleasures of Mathematics; Oxford University Press; 2003.

Kuczma (2003) International mathematical olympiads, 1986-1999

Larson (1983) Problem-solving through problems

Lehoczky, Sandor and Richard Rusczyk The Art of Problem Solving; AoPS; 2006.

MAA Problem Book Series The Contest Problem Books; MAA.

Martin (1991) Polyominoes: a guide to puzzles and problems in tiling

Morris (1998) Magic tricks, card shuffling, and dynamic computer memories

Moscovich, Ivan The Mastermind Collection; Sterling.

Olson (2004) Count down: Six kids vie for glory at the world’s toughest math competition

Sally & Sally (2003) TriMathlon: A workout beyond the school curriculum

Schoenfeld (1983) Problem solving in the mathematics curriculum: a report, recommendations, and an annotated bibliography

Stankova, Zvezdelina A Decade of the Berkeley Math Circle (MSRI Mathematical Circles Library); MSRI and AMS; 2008.

Tanton,James Stuart. Solve This: Math Activities for Students and Clubs; MAA, 2001

Vandervelde, Sam Circle in a Box (MSRI Mathematical Circles Library); MSRI and AMS; 2009.

Vakil (1996) A mathematical mosaic: patterns and problem solving

Vandervelde (2009) Circle in a box

Vandervelde, Sam The First Five Years: A Compilation of Problems from the Mandelbrot Competition, 1990-1995.

Vandervelde, Sam The Mandelbrot problem book: A compilation of problems from the Mandelbrot Competition, 1995-2002.

White, Barrett, Kopp (2006) Math in the garden: hands-on activities that bring math to life

Wickelgren (1995) How to solve mathematical problems

Zeitz, Paul The Art and Craft of Problem Solving; John Wiley and Sons; 2007.

Movies/ DVDs

Adams, Garrity, & Burger (2006) The great π/e debate: which is the better number? (DVD)

Csicery (2008) Hard problems: the road to the world’s toughest math contest (DVD)

Pólya (1966) Let us teach guessing (DVD)

Sun Dagger (DVD)

Games

Gardner, Albers, & Renz (2005) Martin Gardner’s mathematical games: the entire collection of his Scientific American columns (CD)

Games Magazine http://www.gamesmagazine-online.com/

Ken Ken http://www.kenken.com/