Semiotic research of transition from arithmetic to algebra based on algebraic reasoning

2014 Fiscal Year Final Research Report

• Project/Area Number: 24730744
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Education on school subjects and activities
• Research Institution: Kagoshima University
• Principal Investigator: WADA Shinya 鹿児島大学, 教育学部, 准教授 (60372471)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 数学教育学 / 算数から数学への移行 / 代数的推論 / 記号論

Outline of Final Research Achievements

The purpose of this research is to identify the transition processes from arithmetic to algebra through the development of teaching materials and teaching experiment of the teaching materials, from the viewpoint of algebraic reasoning and semiotics.
As a result, we got the following findings. Firstly, we reconsidered the definition of algebraic reasoning from the viewpoint of diagrammatic reasoning. Secondly, we identified the aspects of algebraic reasoning and of shift from syntactic recognition to semantic recognition, through the teaching experiment in second grade. Finally, we identified the aspects of recognition of mutual relationships between multiplication and division, through the teaching experiment in third grade.

Free Research Field

数学教育学