Supporting Students’ Argumentation Structure Construction using Indeterminacy of Diagram

• 발행기관: 대한수학교육학회
• 저자명: Kyeong-Hwa Lee Jeong-Won Noh Sung-Jae Moon
• 간행물 정보: 『수학교육학연구』제30권 특별호, 199~211쪽, 전체 13쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2020.08.31

영문 초록

In this study, we analyze students’ argumentation structures constructed using semiotic mediation activities involving a task with indeterminate diagrams. The main purpose of this article is to reveal how semiotic mediation activities engaged indeterminacy of diagram to support students’ argumentation structure construction. To this end, we use Toulmin’s model to illustrate how students construct and elaborate their conjectures and arguments about geometrical properties in the process of actualizing virtual relationships between the given diagrams. The findings indicate that the various ways in which the students explored the argumentation structures latent in the task emerged from the indeterminacy of the given diagrams and their potential meanings and relationships. In particular, both constructive argumentation and structurant argumentation were promoted in the process of logically connecting the diagrams. We also observed that the students used kinematic and spatial metaphors to describe the possibilities in the logical connections between diagrams while constructing argumentation structures. As a conclusion, we claim that diagrammatic indeterminacy can be considered semiotic potential or its source.

키워드

Argumentation structure Indeterminacy of diagram Virtual network diagram Semiotic mediation Semiotic potential