Research on the Complementarity of Intuition and Logical Thinking in the Process of Understanding Mathematics : An Examination of the Two-Axes Process Model by Analyzing an Elementary School Mathematics Class

Hiroshima journal of mathematics education Volume 5 Page 21-33 published_at 1997-03
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Title ( eng )
Research on the Complementarity of Intuition and Logical Thinking in the Process of Understanding Mathematics : An Examination of the Two-Axes Process Model by Analyzing an Elementary School Mathematics Class
Creator
Source Title
Hiroshima journal of mathematics education
Volume 5
Start Page 21
End Page 33
Abstract
The purpose of this research is to demonstrate the complementarity of intuition and logical thinking in a process of understanding mathematics basing on two basic notions of mental model and reflective thinking. In this paper, we examine the validity of the so-called "two-axes process model", especially the horizontal axis consists of three learning stages by analyzing an elementary school mathematics class. Firstly, we identify some mental models of length which students have initially at the class and lead to a misjudgement or a mathematically incorrect anticipatory intuition. Secondarily, we observe how such intuition has been changed under the control of students' reflective thinking in a whole-class discussion. As a result of the protocol analysis of a class, the validity of the horizontal axis of the model is documented.
NDC
Education [ 370 ]
Language
eng
Resource Type departmental bulletin paper
Publisher
Department of Mathematics Education, Faculty of Education, Hiroshima University
Date of Issued 1997-03
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 0919-1720
[NCID] AN10444573