数学的問題解決における自己参照的活動に関する研究(IV) : 変数"M-SE/SE-C"を視点とした問題解決過程の分析

抄録

The purpose of a series of our studies is to examine the role of "self-referential-activity" on mathematical problem solving. The term "self-referential-activity" means solver's activities that he/she refers to his/her own solving processes or products during or after problem solving. In study (I), we proposed the framework for analyzing the self-referential-activity. And, in previous study, we elaborated the variable "M-SE/SE-C" included in the framework and we identified eight kinds of passes of self-referential-activities that could be characterized by the variable. In this article, we examined actual problem solving processes of the subjects in Schoenfeld's study (1985) through the variable "M-SE/SE-C". Above all, we considered the problem solving processes in which certain Bad-Judge occurred. As a result, we found two kinds of Bad-Judge, i.e. "Not purchase an approach and throw it away" Bad-Judge and "Fail to purchase an approach and throw it away" Bad-Judge. We also examined a problem solving process which contained a transition from Successful-Situation to Unsuccessful-Situation in detail from the variable "M-SE/SE-C". From the perspective, the cause of the transition could be explained by introducing the idea "Global/Local-Judge", i.e. in the process, a Local-Bad-Judge make subjects abandon their successful approach at global level. Therefore, it is suggested the importance of comprehension of the cause of unsuccessful situation and clarifying the object of self-reference.