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Reconsideration of the Didactics of Mathematics Proposed by Hans Freudenthal

Research Project

Project/Area Number 22730686
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Education on school subjects and activities
Research InstitutionKanazawa University

Principal Investigator

ITOH Shinya  金沢大学, 学校教育系, 准教授 (10570434)

Project Period (FY) 2010-04-01 – 2013-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
KeywordsHans Freudenthal / ハンス・フロイデンタール / 数学的活動 / 数学の活用 / 教授原理 / 追発明 / 数学化 / H.フロイデンタール / 数学教育論 / フロイデンタール研究所 / 教育学 / 数学 / 数学の陶冶価値 / 数学観 / 数学教授論
Research Abstract

The aim of this study is to analyze and reconstruct the didactics of mathematics proposed by Hans Freudenthal in the 1960's and in the early 1970's. This study described the changing of German terms corresponding to the concept of "re-invention" from "Wiederentdeckung" to "Nacherfindung" and considered its significance. The meaning of "Wiederentdeckung", the didactical principle of "Nacherfindung" and concepts which have close relationship with the didactical principle was revealed. How Freudenthal's perceptions of mathematics and human being, the didactical principle and these concepts relate to each other was examined.

Report

(4 results)
  • 2013 Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (7 results)

All 2013 2012

All Journal Article (6 results) (of which Peer Reviewed: 2 results) Book (1 results)

  • [Journal Article] ユトレヒト大学フロイデータール研究所における"Realistic Mathematics Education"の継承に関する研究2013

    • Author(s)
      伊藤伸也
    • Journal Title

      金沢大学文化資源学研究

      Volume: 12 Pages: 189-196

    • Related Report
      2013 Final Research Report
  • [Journal Article] 算数教育の国際的連携-フロイデンタール研究所における算数教育研究-2013

    • Author(s)
      伊藤伸也
    • Journal Title

      石川算数

      Volume: 69 Pages: 2-2

    • Related Report
      2013 Final Research Report
  • [Journal Article] ユトレヒト大学フロイデンタール研究所における"Realistic Mathematics Education"の継承に関する研究2013

    • Author(s)
      伊藤伸也
    • Journal Title

      金沢大学文化資源学研究

      Volume: 12 Pages: 189-196

    • NAID

      40019680338

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 算数教育の国際的連携-フロイデンタール研究所における算数教育研究-2013

    • Author(s)
      伊藤伸也
    • Journal Title

      石川算数

      Volume: 69 Pages: 2-2

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Structure of Didactical Principles in Hans Freudenthal's Didactics of Mathematics2012

    • Author(s)
      Itoh, S
    • Journal Title

      The 12th International Congress on Mathematics Education Pre-proceedings

      Volume: 1 Pages: 7761-7761

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Structure of Didactical Principles in Hans Freudenthal's Didactics of Mathematics2012

    • Author(s)
      Itoh, S.
    • Journal Title

      The 12th International Congress on Mathematical Education Pre-proceedings

      Volume: 1 Pages: 7761-7761

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Book] 「数学科における数学的活動の展開」 , 『教科教育の理論と授業II理数編』 (大高泉 ・ 清水美憲[編])2012

    • Author(s)
      伊藤伸也
    • Publisher
      協同出版
    • Related Report
      2013 Final Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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