PRACTICAL RESEARCH ON IMPROVING SECONDARY SCHOOL MATHEMATICS LESSONS BASED ON THE TWO-AXES PROCESS MODEL OF UNDERSTANDING MATHEMATICS

• Project/Area Number: 19530816
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Education on school subjects and activities
• Research Institution: Hiroshima University
• Principal Investigator: KOYAMA Masataka Hiroshima University, 大学院・教育学研究科, 教授 (30186837)
• Project Period (FY): 2007 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 数学理解 / 2軸過程モデル / 数学科教育 / 授業改善 / 実践的研究 / 現職教育 / 教員養成

Research Abstract

Two main results of this research are the followings.
(1) The two-axes process model of understanding mathematics can be embodied and used for improving secondary school mathematics lessons. The principles and methods based on the model can be used as the effective guidelines for designing and improving mathematics lessons.
(2) The long-going and intensive implementation of "lesson study" with teachers according to a real situation in each school can be an effective way to enhance secondary school teachers' abilities and deepen students' understanding of mathematical concepts, properties and relations.

Research Products

• [Journal Article] これからの数学教育の動向と重視すべき点 (2010)
  • Author(s): 小山正孝
  • Journal Title: 全国数学教育学会誌 第16巻 Pages: 99-100
  • Peer Reviewed
• [Journal Article] これからの数学教育の動向と重視すべき点 (2010)
  • Author(s): 小山正孝
  • Journal Title: 全国数学教育学会誌数学教育学研究 16 Pages: 99-100
  • Peer Reviewed
• [Journal Article] 数学言語を用いて思考し表現する能力としての言語力の育成 (2009)
  • Author(s): 小山正孝
  • Journal Title: 日本教科教育学会誌 第31巻第4号 Pages: 39-42
• [Journal Article] 算数・数学教育の研究と実践における問題解決の意義 (2009)
  • Author(s): 小山正孝
  • Journal Title: 日本数学教育学会数学教育論文発表会発表集録 42 Pages: 44-47
• [Journal Article] 数学言語を用いて思考し表現する能力としての言語力の育成 (2009)
  • Author(s): 小山 正孝
  • Journal Title: 日本教科教育学会誌 31・4 Pages: 39-42
• [Journal Article] 中学校数学科における「数と式」の学習指導の改善 (2008)
  • Author(s): 小山正孝
  • Journal Title: 日本数学教育学会誌数学教育 第90巻第9号 Pages: 21-30
  • NAID: 110006937263
  • Peer Reviewed
• [Journal Article] 中学校数学科における「数と式」の学習指導の改善 (2008)
  • Author(s): 小山 正孝
  • Journal Title: 日本数学教育学会誌数学教育 90・9 Pages: 21-30
  • NAID: 110006937263
  • Peer Reviewed
• [Journal Article] Need for Humanising Mathematics Education (2007)
  • Author(s): Koyama Masataka
  • Journal Title: Proceedings of the 31st PME Conference Vol.1 Pages: 25-28
  • Peer Reviewed
• [Journal Article] Need for Humanising Mathematics Education (2007)
  • Author(s): Koyama, Masataka
  • Journal Title: Proceedings of the 31st PME Conference Vol.1 Pages: 25-28
  • Peer Reviewed
• [Presentation] A Component for Promoting the Progress of Mathematical Understanding (2009)
  • Author(s): Mukai Keiko, Koyama Masataka
  • Organizer: 第33回数学教育心理研究国際会議(PME33)
  • Place of Presentation: ギリシャ・テッサロニキ
  • Year and Date: 2009-07-20
• [Presentation] A Component for Promoting the Progress of Mathematical Understanding (2009)
  • Author(s): Keiko Mukai, Masataka Koyama
  • Organizer: 第33回数学教育心理研究国際会議 (PME33)
  • Place of Presentation: ギリシャ・テッサロニキ
  • Year and Date: 2009-07-20
• [Presentation] これからの数学教育の動向と重視すべき点 (2009)
  • Author(s): 小山正孝
  • Organizer: 全国数学教育学会第30回研究発表会
  • Place of Presentation: 東広島市
  • Year and Date: 2009-06-28
• [Presentation] 数学言語を用いて思考し表現する能力としての言語力の育成 (2008)
  • Author(s): 小山正孝
  • Organizer: 日本教科教育学第34回全国大会
  • Place of Presentation: 宮崎市
  • Year and Date: 2008-12-07
• [Presentation] 言語力の育成をめざしたこれからの教科教育 (2008)
  • Author(s): 小山 正孝
  • Organizer: 日本教科教育学会第34回全国大会
  • Place of Presentation: 宮崎市
  • Year and Date: 2008-12-07
• [Presentation] Need for Humanising Mathematics Education (2007)
  • Author(s): Koyama, Masataka
  • Organizer: 31st PME Conference
  • Place of Presentation: 韓国・ソウル大学校
  • Year and Date: 2007-07-11