Development and Realization of Curriculum for Explorative Proving in Secondary School Mathematics

2015 Fiscal Year Final Research Report

• Project/Area Number: 23330255
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Education on school subjects and activities
• Research Institution: Shinshu University
• Principal Investigator: MIYAZAKI Mikio 信州大学, 学術研究院教育学系, 教授 (10261760)
• Co-Investigator(Kenkyū-buntansha): CHINO Kimiho 信州大学, 学術研究院教育学系, 准教授 (20400658) ; KOMATSU Kotaro 信州大学, 学術研究院教育学系, 准教授 (40578267) ; IWATA Koji 福岡教育大学, 教育学部, 准教授 (90437541) ; NAGATA Junichiro 文教大学, 教育学部, 准教授 (30413909) ; SASA Hiroyuki 北海道教育大学, 教育学部, 教授 (30315387) ; TSUJIYAMA Yosuke 千葉大学, 教育学部, 准教授 (10637440)
• Project Period (FY): 2011-04-01 – 2016-03-31
• Keywords: 課題探究 / 証明 / カリキュラム / 中学校 / 数学

Outline of Final Research Achievements

Key word “Explorative proving” is defined as the interactions among the following aspects: producing propositions, producing proofs (planning/ constructing), evaluating| improving| advancing. Based on this definition the problematics of current curriculum are specified. In order to resolve the specified, the framework to develop the curriculum of explorative proving is concluded with especially focusing on the followings: planning proofs, constructing proofs, and evaluating| improving| advancing.
By applying the framework to the current curriculum, corresponding tables between contents and activity are formulated. These tables show the relations of the intended contents and the essential activities. Sharing these tables between practitioners and researchers makes it possible to collaborate in realizing lessons in accordance with the frameworks and the tables. Finally, by the collaboration the feasibility of the developed curriculum is verified.

Free Research Field

科学教育学（数学教育学）