Journal of JASME : research in mathematics education
Online ISSN : 2433-3034
Print ISSN : 1341-2620
Study on Self-Referential Activities in Mathemaitcal Problem Solving (II) : Elaboration of the variable "OG/NOG"
Atsushi YAMADANorihiro SHIMIZU
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1998 Volume 4 Pages 71-82

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Abstract
In this article, the conception and the roles of the variable "OG/NOG (Ongoing/Not Ongoing)" which is the component of the framework of this study are examined. Firstly, the notion of "the change of goal", which is an important viewpoint when we think of this variable, is examined making relation to the preceding studies. Then, the variable "OG/NOG" is elaborated to "Previous Goal/Current Goal/Concurrent (PG/CG/CCR)". "Previous Goal Self-Referential Activity (Previous Goal SRA)" is such a self-referential activity that the solver refers to the processes or products in problem-solving phases based on previous goal. "Current Goal Self-Referential Activity (Current Goal SRA)" is such a self-referential activity that the solver refers to the processes or products in problem-solving phases based on current goal except for referring to them just concurrently. "Concurrent Self-Referential Activity (Concurrent SRA)" is such a self-referential activity that the solver refers to the emerging processes or products just concurrently. Finally, it is examined about the roles and significance of the three types of self-referential activity which are prescribed by the elabrated variable. For example, based on an analysis of a problem solving process, it is suggested that the Previous Goal SRA plays a role "possibility of recovery" in problem solving process.
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© 1998 Japan Academic Society of Mathematics Education
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