We recommend the selected print resources on this page. If you know about good books that are not mentioned here, please share them with us.

Barbeau, E. J., M. S. Klamkin, and W. J. Moser (1995). 500 Mathematical Challenges. Washington, DC: Mathematical Association of America. This book provides a nice mix of challenging problems, with solutions, for high school and college students. Many of the problems first appeared in various Mathematical Competitions. The index provides a useful list of problems categorized by topic and subtopic.

Brown, S. I., and M. I. Walter (1983). The Art of Problem Posing. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc. This book gives an excellent introduction into the art of posing good problems, and why that can be valuable not only to teachers, as a source of rich problems for their students, but for the students as a route into becoming better problem solvers.

Burn, R. P. (1997). A Pathway to Number Theory, Second Edition. New York, NY: Cambridge University Press. This is a great example of how carefully crafted sequences of problems can be designed to foster learning not by explanation and example, but by solving problems. Though intended for college students, some sequences, especially early in the book, are suitable for high school and some can be adapted for middle school use.

Fomin, D., S. Genkin, and I. Itenberg (1996). Mathematical Circles. Providence, RI: American Mathematical Society. This book contains problem sequences with solutions and teaching suggestions in various middle and high school topics, including combinatorics, geometry, and inequalities.

Galovich, S. (1993). Doing Mathematics: An Introduction to Proofs and Problem Solving. Orlando, FL: Saunders College Publishing. Although written for a college audience, this book has much to recommend it. Its most important features are the "Solving Problems" Chapter, which includes a nice update and expansion on Polya's 4 steps for problem solving (found, for example, in the classic How to Solve it) and a problem set consisting of 76 well-chosen problems, none of which require calculus.

Gelfand, I.M. and A. Shen (1993). Algebra. Boston: Birkhauser. A very nice book that teaches a number of topics in algebra through solving sequences of problems, an approach similar to one used in many of the problem sequences on this site.

Gilbert, G., M. Krusemeyer, and L. Larson (1993). The Wohascum County Problem Book. Washington, DC: Mathematical Association of America. This is a really nice collection of 130 problems with solutions. Although some problems require a knowledge of calculus or linear algebra, most are accessible to high school students.

Herr, T., and K. Johnson (1994). Problem Solving Strategies: Crossing the River with Dogs and Other Mathematical Adventures. Emeryville, CA: Key Curriculum Press. This book is a readable introduction to problem solving for middle and high school students and their teachers. Published as a textbook, its problems and suggestion are useful for anyone interested in improving their problem-solving abilities, in or out of the classroom.

Posamentier, A. S., and C. S. Salkind (1988). Challenging Problems in Algebra. Palo Alto, CA: Dale Seymour Publications. There's something for just about everyone in this collection of problems, all of which use algebra in one way or another. Difficulty level ranges from fairly elementary to contest type problems.