Describes a workshop where mathematics can be explored both individually and with others, and where the focus is on the support of ideas and understanding rather than on specific answers. Demonstrates students' improved interest in mathematics by hands-on projects emphasizing visualization, manipulation, and modeling. (AIM)

Discusses research involving instruction to help students develop their mental managerial processes or metacognition, the role of a framework for problem-solving activities, the teacher as model or moderator, problem solving involving groups or pairs, and weaving writing into problem solving. (Contains 18 references.) (MKR)

Discusses the use of mathematical modeling. Describes types, examples, and importance of mathematical models. (YP)

Suggests a model for teaching mathematics with three dimensions: facts and skills, understanding, and problem solving. Geometric examples are used to illustrate each dimension and suggestions for integrating the teaching of the three dimensions are given. (PK)