Building a Two Axes Process Model of Understanding Mathematics

Hiroshima journal of mathematics education Volume 1 Page 63-73 published_at 1993-03
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Title ( eng )
Building a Two Axes Process Model of Understanding Mathematics
Creator
Source Title
Hiroshima journal of mathematics education
Volume 1
Start Page 63
End Page 73
Abstract
The purpose of this study is to make clear what kind of characteristics a model of understanding mathematics should have so as to be useful and effective in mathematics education. The models of understanding presented in preceding papers are classified into two large categories, i. e. "aspect model" and "process model". Focusing on the process of understanding mathematics, reflective thinking plays an important role to develop children's understanding, or to progress children's thinking from one level to a higher level of understanding. As a theoretical framework, a process model consisting of two axes is presented for further studies. The vertical axis in the model implies levels of understanding and the horizontal axis implies learning stages. At any level of understanding, there are three stages, i.e. intuitive, reflective and analytic stage.
NDC
Education [ 370 ]
Language
eng
Resource Type departmental bulletin paper
Publisher
Department of Mathematics Education, Faculty of Education, Hiroshima University
Date of Issued 1993-03
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 0919-1720
[NCID] AN10444573