Suggests that problem-solving extensions are appropriate experiences for differentiating learning experiences for students with high abilities. The extensions fall into four major categories: pattern and generalization, new concepts and vocabulary, creativity, and making value judgments. (PK)

Presents 5 activities for the K-1, 2-3, 4-5, 6-8 grade levels and for in the home in which students explore the concept of combinations. Each activity includes a lesson plan to investigate a combinatorics problem appropriate for that grade level. Provides reproducible worksheets. (MDH)

Elaborates the final step of Polya's heuristic model, reflecting, to improve students' problem-solving performance. After checking answers for accuracy, the following steps are suggested: (1) test reasonableness and practicality; (2) write a summary paragraph; (3) find other solutions; (4) change the conditions; and (5) extend the problem. (MKR)