Two important factors that influence problem solving are the nature of the task and the kind of knowledge brought to the problem by the solver. After a consideration of the definition of a problem, puzzle problems are discussed, as are problem representation and general processes of solution. Also discussed is the question of solving problems that…

A game modelled on football can be used to provide students with practice in solving algebraic equations. (SD)

Described is a calculator race that is designed to require a fast touch with the calculator and also the ability to apply mathematical knowledge. Sample questions are given. (MP)

Five graded sets of examples of alphametrics are provided. The puzzles are suggested for use in developing the traits of considering all possibilities and systematic working. (MP)

Four levels of activity sheets present problem solving as part of a tic-tac-toe game. The problems involve addition, subtraction, multiplication, and division appropriate to the level. (MP)

Suggestions are given for activities to use to introduce common and decimal fractions. Models are used initially and symbols are introduced slowly. Decimals are related to common fractions. (MP)

A computer program generates sets of simultaneous linear equations for students to solve; the program also solves the systems and provides teachers with solutions. (SD)

The relationship between simple interest and compound interest is explored by using calculators to develop the required formula inductively and intuitively. (MP)

Describes and evaluates introductory physics homework problems done in conjunction with student-performed demonstrations. Discusses them within a process approach to instruction consistent with Piaget's developmental theory. (MLH)

This monthly column contains teaching suggestions on: using codes to convey information, flow proofs in geometry, and volleyball and probability. (MP)

Using the two posters in this article, students are to search for patterns as a way of counting different types of squares and cubes obtained from a larger square or cube that is printed on the outside edge or surface. (MP)