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http://dx.doi.org/10.7468/jksmee.2011.25.1.021

The Roles of Structural Similarity, Analytic Activity and Comparative Activity in Stage of Similar Mathematical Problem Solving Process  

Roh, Eun-Hwan (Department of Mathematics Education, Chinju National University of Education)
Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University)
Kang, Jeong-Gi (Annam Middle School)
Publication Information
Communications of Mathematical Education / v.25, no.1, 2011 , pp. 21-45 More about this Journal
Abstract
It is the aim of this paper to find the requisites for the target problem solving process in reference to the base problem and to search the roles of those. Focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process, we tried to find the roles of them. We observed closely how four students solve the target problem in reference to the base problem. And so we got the following conclusions. The insight of structural similarity prepare the ground appling the solving method of base problem in the process solving the target problem. And we knew that the analytic activity can become the instrument which find out the truth about the guess. Finally the comparative activity can set up the direction of solution of the target problem. Thus we knew that the insight of structural similarity, the analytic activity and the comparative activity are necessary for similar mathematical problem to solve. We think that it requires the efforts to develop the various programs about teaching-learning method focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process. And we also think that it needs the study to research the roles of other elements for similar mathematical problem solving but to find the roles of the structural similarity, analytic activity and comparative activity.
Keywords
Mathematical problem solving process; The target problem; The base problem; Insight into an structural similarity; Analytic activity; Comparative activity;
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Times Cited By KSCI : 3  (Citation Analysis)
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