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…

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)

Provides four pages of practice problems covering the skills of multiplication, addition, and subtraction. Follows the premise that many arithmetic operations be done in working toward a solution. The sheets could be photocopied as worksheets or handouts. (JM)

Provides domino geometry problems, problems with arithmetic progressions, and magic pentagram sums. (JM)

Develops a classification scheme for mathematical problem-solving activities. Presents problems generated in solid and plane geometry and fractions. (JM)

Discusses making tessellations by using a polyomino. Illustrates the various ways for various shapes of polyomino. Provides several diagrams and instructional guides. (YP)