AlgeoMath를 활용한 초등 도형 과제의 도구화 스킴 분석

Abstract

Recently, there has been increasing interest in the use of Dynamic Geometry Environments (DGE) in elementary geometry learning. This study aims to analyze elementary geometry tasks utilizing DGE from an instrumental perspective and to identify the conceptual and technical difficulties that elementary students may encounter. To achieve this, we analyzed textbooks and previous studies to extract tasks that utilize the Korean DGE, AlgeoMath, and conducted practical exercises to analyze the instrumentation schemes for each task. The analysis revealed that some terms and symbols of the tools were not aligned with the elementary curriculum or contained mathematical errors, and that some schemes requiring an understanding of functional perspectives or basic constructions in secondary mathematics could present conceptual and procedural difficulties for elementary students. Furthermore, we found that precisely implemented transformation tools were not suitable for the informal and intuitive learning of elementary plane figure movements. Finally, it was confirmed that the inherent characteristics of DGE, such as the independence and dependence of objects and the hiding feature, as well as the functional limitations and errors of AlgeoMath, could pose challenges for students. Based on these findings, the study suggests pedagogical implications for elementary mathematics lessons using AlgeoMath and provides insights into the functional composition of DGE for elementary use.