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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この文献の参照には次のURLをご利用ください : https://doi.org/10.15027/29393
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BullFacEdu-HiroshimaUniv-Pt2_43_63.pdf
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fulltext
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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
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Title ( eng ) |
On Transcendent Recursive Theory of Understanding Mathematics
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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
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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 ]
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Language |
jpn
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Resource Type | departmental bulletin paper |
Publisher |
広島大学教育学部
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Date of Issued | 1995-03-10 |
Publish Type | Version of Record |
Access Rights | open access |
Source Identifier |
[ISSN] 0440-8713
[NCID] AN0021336X
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