数学的理解の超越的再帰理論に関する一考察

広島大学教育学部紀要. 第二部 Issue 43 Page 63-72 published_at 1995-03-10
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Title ( jpn )
数学的理解の超越的再帰理論に関する一考察
Title ( eng )
On Transcendent Recursive Theory of Understanding Mathematics
Creator
Source Title
広島大学教育学部紀要. 第二部
Bulletin of the Faculty of Education, Hiroshima University. Part 2
Issue 43
Start Page 63
End Page 72
Abstract
There has been much interest in mathematical understanding and a variety of approaches to study of it in the area of research on mathematics education. The aim of this paper is to study the transcendent recursive theory of understanding mathematics which has been developed and elaborated by S. Pirie and T. Kieren in their work over the past six years.

The theory and its model are examined thoroughly from view points of its foundamental ideas, features and usefulness as a theory of understanding mathematics in order to answer the following questions.

1) Why does this theory regard the growth of child' s understanding mathematics as a whole, dynamic, levelled but non-linear, transcendently recursive process?

2) What are features of this theory? In particular, what are properties of eight potential levels or distinct modes as basic elements of this theory?
NDC
Education [ 370 ]
Language
jpn
Resource Type departmental bulletin paper
Publisher
広島大学教育学部
Date of Issued 1995-03-10
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 0440-8713
[NCID] AN0021336X