Teaching proof in the context of physics

Gila Hanna*, Ysbrand de Bruyn, Nathan Sidoli, Dennis Lomas

*この研究の対応する著者

研究成果査読

3 被引用数 (Scopus)

抄録

This paper describes an application of statics to geometrical proofs in the classroom. The aim of the study was to find out whether the use of concepts and arguments from statics can help students understand and produce proofs of geometrical theorems. The two theorems studied were: (1) that the medians in a triangle meet at a single point which is the centre of gravity of the triangle, and (2) the Varignon theorem, that the lines joining the midpoints of successive sides of a quadrilateral form a parallelogram. The classroom experiment showed that most students were successful in using arguments from statics in their proofs, and that they gained a better understanding of the theorems. These findings lend support to the claim that the introduction of statics helps students produce proofs and grasp their meaning.

本文言語English
ページ(範囲)82-90
ページ数9
ジャーナルZDM - International Journal on Mathematics Education
36
3
DOI
出版ステータスPublished - 2004
外部発表はい

ASJC Scopus subject areas

  • 教育
  • 数学 (全般)

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