• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Research on the validity and Effectiveness of Two-Axes Process Model of Understanding Mathematics

Research Project

Project/Area Number 10680277
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 教科教育
Research InstitutionHiroshima University

Principal Investigator

KOYAMA Masataka  Hiroshima University, Faculty of Education, Associate Professor, 教育学部, 助教授 (30186837)

Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1999: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
KeywordsUnderstanding Mathematics / Two-Axes Process Model / Validity / Effectiveness / Practical Research / Mathematics Classes / 算数・数学 / 授業
Research Abstract

As a result of this research, we find out the followings. First, we can exemplify the validity and effectiveness of the "two-axes process model" of understanding mathematics by the case study of the elementary school mathematics class. Second, we might be able to characterize such a teaching and learning of mathematics that enables children to understand mathematics deeply and in their meaningful way as the dialectic process of children's individual and social constructions in their classroom. In order to realize such mathematics classroom, it is suggested that a teacher should make a plan of teaching and learning mathematics in the light of "two-axes process model", and embody it with teaching materials of a topic in due consideration both of the objectives and the actual state of children. The teacher also should play a role as a facilitator for the dialectic process of individual and social constructions through a discussion with children and among them.
There are two important features of teacher's role in the process of teaching and learning mathematics. The one is related to children's individual construction and it is to set the problematic situation where children are able to have their own learning tasks and encourage them to have various mathematical ideas and ways individually. The other is related to children's social construction and it is to encourage and allow them to explain, share and discuss their various mathematical ideas and ways socially in the classroom.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] Masataka KOYAMA: "Process of Understanding Mathematics:The Teaching and Learning of Mathematics in a Classroom"PROCEEDINGS OF ICMI-EARCOME1. Vol.2. 275-292 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 小山 正孝: "数学理解の2軸過程モデル-その理論的な再検討-"日本教科教育学会全国大会論文集. 第25巻. 196-199 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masataka KOYAMA: "Process of Understanding Mathematics : The Teaching and Learning of Mathematics in a Classroom"Proceeding of ICMI-EARCOME 1. Vol. 2. 275-292 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masataka KOYAMA: "Two-Axes Process Model of Understanding Mathematics: A Theoretical Reexamination"Proceedings of The 25th National Conference of Japan Curriculum Research and Development Association. Vol. 25. 196-199 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masataka KOYAMA: "Process of Understanding Mathematics:The Teaching and Learning of Mathematics in a Classroom"PROCEEDINGS OF ICMI-EARCOME 1. Vol. 2. 275-292 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] 小山 正孝: "数学理解の2軸過程モデル-その理論的な再検討-"日本教科教育学会全国大会論文集. 第25巻. 196-199 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Masataka KOYAMA: "Process of Understanding Mathematics : The Teaching and Learning of Mathematics in a Classroom" PROCEEDINGS OF ICMI-EARCOME 1. Vol.2. 275-292 (1998)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi