The authors answer conclusively the question of how certain regular polygons can be "fitted together" around a point in the plane. Proofs lead to the establishment of seventeen cases. (JP)

The use of short stories in a mathematics enrichment program is described. (DB)

Discussed are specific methods of teaching computational and manipulative skills in mathematics in a meaningful way. (CT)

The article offers examples from two publications (supported by the U.S. Office of Education) with more than 200 problems suitable for use in elementary methematics curriculums for gifted students. Three activities are outlined in terms of the problem, a hint for solving the problem, and the solution. (SW)

Described are stages in the development of a computer program to solve a particular algebra problem and the nature of algebraic computation is presented. A program in BASIC is provided to give ideas to others for developing their own programs. (MP)

Examines guessing as a heuristic for problem-solving presented in a taped lesson by George Polya. Analogical models transformed a complex problem to a simpler one and maintained problem identification. Instructional explanations fulfilled two goals simultaneously: (1) teach students how to use guessing as a problem-solving strategy to solve the…

Discusses a novel approach to word problems that involves linear relationships between variables. Argues that working stepwise through intermediates is the way our minds actually work and therefore this should be used in solving word problems. (JRH)

Presents a generalization to the classic prisoner problem, which is inherently interesting and has a solution within the reach of most high school mathematics students. Suggests the problem as a way to emphasize to students the final step in a problem-solver's tool kit, considering possible generalizations when a particular problem has been…

Describes an exploration involving parabolas that was prompted by a routine exercise undertaken in a graphing-calculator workshop with high school mathematics teachers. Appendices contain instructions for using the TI-85 SIMULT menu and matrices to solve the system. (JRH)

Describes how modifying familiar classroom formats in a college geometry class helped encourage student problem solving. Demonstrates these modified formats in the context of problems students explored, which resemble the problem-solving settings of mathematicians. (KHR)

Presents student methods for finding out the number of different squares on a chessboard. Includes extensions of the activity. (MKR)