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Article

전자저널 논문

2020; 30(특별호): 199-211

Published online August 31, 2020 https://doi.org/10.29275/jerm.2020.08.sp.1.199

Copyright © Korea Society of Education Studies in Mathematics.

Supporting Students’ Argumentation Structure Construction using Indeterminacy of Diagram

Kyeong-Hwa Lee1, Jeong-Won Noh2, Sung-Jae Moon2

*Professor, Seoul National University, South Korea
**Graduate Student, Seoul National University, South Korea

Correspondence to:Email: khmath@snu.ac.kr, tac05@snu.ac.kr, wowsjm7@snu.ac.kr

Abstract

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.

KeywordsArgumentation structure, Indeterminacy of diagram, Virtual network diagram, Semiotic mediation, Semiotic potential

Journal Info

Korea Society of Education Studies in Mathematics

Vol.32 No.1
2020-08-31

pISSN 2288-7733
eISSN 2288-8357

Frequency : Quarterly

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