Construction of framework for describing students' activity of proofs and refutations in mathematical learning

2014 Fiscal Year Final Research Report

• Project/Area Number: 24730730
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Education on school subjects and activities
• Research Institution: Shinshu University
• Principal Investigator: KOMATSU Kotaro 信州大学, 学術研究院教育学系, 准教授 (40578267)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 数学教育 / 証明 / 論駁 / 反例 / ラカトシュ / 発見法的規則

Outline of Final Research Achievements

This study addresses mathematical activity of proofs and refutations, aiming to construct a framework for describing such activity by students in mathematical learning. For that purpose, I examined Proofs and Refutations (Lakatos, 1976), observing and analysing mathematical lessons in secondary schools. This study constructs a framework for describing students’ reaction to a global counterexample, a counterexample that refutes a statement, and to a local counterexample, a counterexample that refutes a proof.

Free Research Field

数学教育学