2013 年 19 巻 1 号 p. 9-15
The theory of“Transcending Recursive Model”(Pirie, S. & Kieren, T., 1994) is originally used to describe students’understanding in mathematics learning.
In this study, I applied this theory normatively in the lesson for problem solving learning, and I considered how to organize mathematical activities in the lesson. Mathematical activities play the central role on the step of understanding the problem or devicing the plan (Polya, G., 1980). Moreover, they were refered by students depending on the need at the step of carring out the plan (Polya, G., 1980).
To use“Transcending Recursive Model”in the lesson for problem solving learning enables to discuss understanding and problem solving on the same base, although they were told in the different context.