Revealing the Structures of Geometric Dynamic Views in terms of Figurative Recognitions

DOI Web Site

Bibliographic Information

Other Title
  • 図形の動的な見方の構造について : 比喩的認識の視点から
  • ズケイ ノ ドウテキ ナ ミカタ ノ コウゾウ ニ ツイテ : ヒユテキ ニンシキ ノ シテン カラ

Search this article

Abstract

This study aims at clarifying how students' recognitions of geometric figures in the elementary school can be connected to deductive geometry, and in this paper as a part of the study we will try to reveal the structures of geometric dynamic views that we have already identified in the learning of geometric shapes using the operative sheets and that may be considered to be premises for understanding the logical and relational natures of geometry. We transcribed the aspects of the geometric dynamic views as combinations of simple sentences, characterized each sentence using metaphor, metonymy, or synecdoche, and analyzed them in terms of the compositeness of the figurative recognitions. In our analysis, we found that the dynamic views were consolidated into five views: 1) Producing the different figure based on perceptual analogy, 2) Conceiving the movement of whole figure by the constitutive point, 3) Recognizing the invariants, 4) Reversible views, and 5) Simultaneous identification of invariants and variables. These may suggest the hierarchical nature among the dynamic views when we examine the degrees of compositeness for each dynamic view, which will be investigated in more detail in our future research.

Journal

Related Projects

See more

Keywords

Details 詳細情報について

Report a problem

Back to top