The framework in Figure 2 is useful for illustrating the dynamic, cyclic interpretation
of Polya's (26) stages. It has been used in a mathematics problem solving course at the
University of Georgia for many years. Any of the arrows could describe student activity
(thought) in the process of solving mathematics problems. Clearly, genuine problem
solving experiences in mathematics can not be captured by the outer, one-directional
arrows alone. It is not a theoretical model. Rather, it is a framework for discussing
various pedagogical, curricular, instructional, and learning issues involved with the goals
of mathematical problem solving in our schools.