2017 Fiscal Year Final Research Report

Research on curriculum development of mathematical proof by networking mathematical activities within and between the domains consistent in secondary education

Research Project

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Project/Area Number	15H03501
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	Tottori University
Principal Investigator	Mizoguchi Tatsuya 鳥取大学, 地域学部, 准教授 (70304194)
Co-Investigator(Kenkyū-buntansha)	岩崎秀樹広島大学, 教育学研究科, 名誉教授 (50116539) 熊倉啓之静岡大学, 教育学部, 教授 (00377706) 濱中裕明兵庫教育大学, 学校教育研究科, 教授 (20294267) 宮川健上越教育大学, 大学院学校教育研究科, 准教授 (30375456) 石井英真京都大学, 教育学研究科, 助教 (10452327) 阿部好貴新潟大学, 人文社会・教育科学系, 准教授 (40624630) 真野祐輔大阪教育大学, 教育学部, 准教授 (10585433) 大滝孝治北海道教育大学, 教育学部, 特任講師 (90750422) 國宗進静岡大学, 教育学部, 名誉教授 (50214979)
Co-Investigator(Renkei-kenkyūsha)	KUNIMUNE SUSUMU 静岡大学, 名誉教授 (50214979)
Research Collaborator	YUGINOMOTO YUKI 長崎大学, 教育学部, 准教授 (40637477)
Project Period (FY)	2015-04-01 – 2018-03-31
Keywords	論証 / 数学的活動 / カリキュラム開発 / 中等教育 / 数学教育
Outline of Final Research Achievements	The purpose of this research as a whole is to build a theoretical framework for teaching of mathematical proof consistent in secondary education and develop a curriculum of this domain based on mathematical activities with using the framework. The main outcomes of this research are described in accordance with the following four working topics: ① analysing of earlier researches on mathematical proof;②clarifying the idea of teaching mathematical proof consistent in secondary education; ③ establishing a framework for networking mathematical activities within and between the domains for curriculum development; ④ developing some didactic situations based on mathematical activities. In addition, an international seminar was held with foreign researchers, and some research results were published in a distinguished international journal in mathematics education.
Free Research Field	数学教育学