RESEARCH ON TWO-AXIS PROCESS MODEL AS A FRAMEWORK FOR DESIGNING MATHEMATICS LESSONS IN UPPER SECONDARY SCHOOL

• Project/Area Number: 26381208
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Education on school subjects and activities
• Research Institution: Hiroshima University
• Principal Investigator: KOYAMA MASATAKA 広島大学, 教育学研究科, 教授 (30186837)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 高等学校数学 / 授業構成 / ２軸過程モデル / 実証的研究 / 数学教育方法学

Outline of Final Research Achievements

(1) The analysis of mathematics classroom practices and surveys shows that the awareness of mathematics teachers about mathematics lessons is enhanced, and that the level of their students’ mathematical understanding is improved as a result of a long-term lesson study by using the two-axis process model as a framework for designing mathematics lessons.
(2) It is significant for mathematics teachers in upper secondary school that they should make the two-axis process model concrete with the identified principles and methods in light of both the objectives of mathematics lessons and the levels of their students’ mathematical understanding in order to improve the quality of mathematics lessons.

Research Products

• [Journal Article] Dynamic cycle driven by the dialectic cycle of two complementary reflections in lesson study on school mathematics (2016)
  • Author(s): Koyama Masataka
  • Journal Title: Proceedings of the PME 40 Conference Volume: 1 Pages: 35-50
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] A new framework based on the methodology of scientific research programs for describing the quality of mathematical activities (2016)
  • Author(s): Uegatani Yusuke, Koyama Masataka
  • Journal Title: Proceedings of the PME 40 Conference Volume: 1 Pages: 291-298
  • NAID: 120006665392
  • Peer Reviewed
• [Journal Article] Current trends and issues on mathematics curriculum revision in Japan (2015)
  • Author(s): Koyama Masataka
  • Journal Title: Proceedings of the 2015 Joint Conference of Korean Mathematics Education Societies Volume: 2 Pages: 79-102
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Seeking high quality collaboration and reflection: A Lesson Study on primary school mathematics (2015)
  • Author(s): Koyama Masataka
  • Journal Title: In the pursuit of quality mathematics education for all: Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education Volume: 1 Pages: 105-116
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] The two-axis process model of understanding mathematics as a framework for designing mathematics lessons for high school students (2015)
  • Author(s): Koyama Masataka, Yoichiro Hisadomi
  • Journal Title: In the pursuit of quality mathematics education for all: Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education Volume: 1 Pages: 409-416
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Third-order viability in radical constructivism (2015)
  • Author(s): Uegatani Yusuke, Koyama Masataka
  • Journal Title: Proceedings of the PME 39 Conference Volume: 4 Pages: 257-264
  • NAID: 120006665391
  • Peer Reviewed / Open Access
• [Journal Article] A theoretical framework for the function of generalization in learning mathematics (2014)
  • Author(s): Hayata Toru, Koyama Masataka
  • Journal Title: Proceedings of the PME 38 Conference Volume: 3 Pages: 257-264
  • Peer Reviewed
• [Presentation] Dynamic cycle driven by the dialectic cycle of two complementary reflections in lesson study on school mathematics (2016)
  • Author(s): Koyama Masataka
  • Organizer: PME40
  • Place of Presentation: セゲド（ハンガリー）
  • Year and Date: 2016-08-03
  • Int'l Joint Research / Invited
• [Presentation] A new framework based on the methodology of scientific research programs for describing the quality of mathematical activities (2016)
  • Author(s): Uegatani Yusuke, Koyama Masataka
  • Organizer: PME40
  • Place of Presentation: セゲド(ハンガリー)
  • Year and Date: 2016-08-03
  • Int'l Joint Research
• [Presentation] Two-axis process model for teaching and learning of school mathematics (2016)
  • Author(s): Koyama Masataka
  • Organizer: ICME-13
  • Place of Presentation: ハンブルク（ドイツ）
  • Year and Date: 2016-07-24
  • Int'l Joint Research / Invited
• [Presentation] 高等学校数学科における数学的活動のためのグループ活動の研究 (2015)
  • Author(s): 増永 雄大，小山 正孝
  • Organizer: 日本教科教育学会第411回全国大会
  • Place of Presentation: 広島大学（広島県東広島市）
  • Year and Date: 2015-10-24
• [Presentation] Third-order viability in radical constructivism (2015)
  • Author(s): Uegatani Yusuke, Koyama Masataka
  • Organizer: PME 39 Conference
  • Place of Presentation: ホバート（オーストラリア）
  • Year and Date: 2015-07-13
  • Int'l Joint Research
• [Presentation] Seeking high quality collaboration and reflection: A Lesson Study on primary school mathematics (2015)
  • Author(s): Koyama Masataka
  • Organizer: 7th ICMI-East Asia Regional Conference on Mathematics Education
  • Place of Presentation: セブ（フィリピン）
  • Year and Date: 2015-05-11
  • Int'l Joint Research / Invited
• [Presentation] The two-axis process model of understanding mathematics as a framework for designing mathematics lessons for high school students (2015)
  • Author(s): Koyama Masataka
  • Organizer: 7th ICMI-East Asia Regional Conference on Mathematics Education
  • Place of Presentation: セブ（フィリピン）
  • Year and Date: 2015-05-11
  • Int'l Joint Research
• [Presentation] Current trends and issues on mathematics curriculum revision in Japan (2015)
  • Author(s): Koyama Masataka
  • Organizer: 2015 Joint Conference of Korean Mathematics Education Societies
  • Place of Presentation: ソウル（韓国）
  • Year and Date: 2015-05-01
  • Int'l Joint Research / Invited
• [Presentation] 言語活動の充実を通した生徒の思考力を育成する数学科授業の創造 ―言語活動を捉える枠組みの作成と検証を通して― (2015)
  • Author(s): 前田 淳一，小山 正孝
  • Organizer: 全国数学教育学会第41回研究発表会
  • Place of Presentation: 広島大学（広島県東広島市）
  • Year and Date: 2015-01-31 – 2015-02-01
• [Presentation] Optimization game: A method for promoting authentic mathematical communication (2014)
  • Author(s): Yusuke Uegatani, Koyama Masataka
  • Organizer: PME 38 Conference
  • Place of Presentation: バンクーバー（カナダ）
  • Year and Date: 2014-07-15 – 2014-07-20
• [Presentation] Mathematics Education and Professional Development in Japan (2014)
  • Author(s): Koyama Masataka
  • Organizer: CfBT 1st Conference on the Core Mathematics Programme
  • Place of Presentation: ロンドン（イギリス）
  • Year and Date: 2014-07-01 – 2014-07-02
  • Invited