Principles and Methods for Designing Mathematics Lessons Based on the Two-Axes Process Model of Understanding Mathematics

• KOYAMA Masataka

  Department of Mathematics Education, Hiroshima University

Bibliographic Information

Other Title

• 数学理解の2軸過程モデルに基づく授業構成の原理と方法
• スウガク リカイ ノ 2ジク カテイ モデル ニ モトヅク ジュギョウ コウセイ ノ ゲンリ ト ホウホウ

Abstract

The purpose of this paper was to identify the principles and methods for designing mathematics lessons based on the Two-Axes Process Model of understanding mathematics. As a result of theoretical and practical studies, three principles (Ps) and three methods (Ms) were identified for designing lessons to facilitate and deepen students' understanding of mathematics, as follows: P1 - recognizing mathematics understanding as a dynamic process; P2 - setting up clear levels of understanding and learning stages at a level; P3 - incorporating students' individual constructions and social construction; M1 - making clear levels of understanding related to a certain mathematical topic; M2 - assessing and evaluating students' understanding at a readiness; and M3 - planning in detail three learning stages as a dialectic process of individual and social constructions in a lesson.

Journal

• The Bulletin of Japanese Curriculum Research and Development

  The Bulletin of Japanese Curriculum Research and Development 28 (4), 61-70, 2006-03-10

  Japan Curriculum Research and Development Association

Keywords

• 数学教育
• 数学理解
• 2軸過程モデル
• 授業構成
• 原理と方法

Details

• CRID: 1390001205163820416
• NII Article ID: 110008094594
• NII Book ID: AN00247430
• DOI: 10.18993/jcrdajp.28.4_61
• ISSN: 24241784
• ISSN: 02880334
• NDL BIB ID: 7864087
• Web Site: http://ir.lib.hiroshima-u.ac.jp/00030083
• Web Site: http://id.ndl.go.jp/bib/7864087
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7864087
• Text Lang: ja
• Data Source:
  • JaLC
  • IRDB
  • NDL
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed