Basic Study for Progressive Instruction on Euler's Formula for Polyhedrons

DOI Web Site

Bibliographic Information

Other Title
  • オイラーの多面体定理に関する発展的指導のための基礎的研究
  • オイラーの多面体定理に関する発展的指導のための基礎的研究 : 頂点,辺,面の本質的な定義を意識した指導
  • オイラー ノ タメンテイ テイリ ニ カンスル ハッテンテキ シドウ ノ タメ ノ キソテキ ケンキュウ : チョウテン,ヘン,メン ノ ホンシツテキ ナ テイギ オ イシキ シタ シドウ
  • Topological Lessons in upper secondary school with essential definitions of vertexes, edges, and faces
  • 頂点，辺，面の本質的な定義を意識した指導

Search this article

Abstract

This paper proposes a definition of vertexes, edges, and faces (VEF) suitable for high school students, modifying its essential definition in topology. The paper describes difficulties in finding a proper definition of VEF, and the detailed process of revising the definition. In our previous lesson on Euler’s formula for polyhedron in a high school, students were confused to count the number of VEF of a torus. This confusion came from the fact that they were seized with the meaning of VEF in school mathematics. We tried to define VEF as terms in everyday use, which represent essential meanings in topology.

Journal

Keywords

Details 詳細情報について

Report a problem

Back to top