모델 개발 과정에서 도구를 조작하는 활동 분석 = An Analysis of the Activities Operating a Tool in Model Development Process

다국어 초록 (Multilingual Abstract)

This article presents a case study in which three middle school students developed models in modeling activity using a tool. We research the interaction of model development process and the activities operating a tool in the modeling. And we investigate whether students are able to create generalizable model, after a tool mediates students' thought process and students internalize the perceptive activity operating a tool. The analysis of our case study led to three results. First, as students were able to integrate perceptive activity operating a tool and cognitive activity, they reasoned about the relationships among changing quantities and developed the model. Second, students corrected and refined developed models with reflecting the perceptive activity operating a tool. Third, as students internalized perceptive activity, students were able to create generalizable model, which is a graph of height as a function of the amount of water that's in the beaker.

국문 초록 (Abstract)

본 연구에서는 학생들이 모델을 개발하는 과정에서 도구를 활용한 조작활동을 분석한다. 또한, 도구를 조작하는 활동이 내면화되어 내적 활동의 수단으로서의 도구가 사고 과정을 중재하여 일반화 가능한 모델이 개발되는지를 조사한다. 이를 위하여 중학교 1학년 학생 3명이 도구를 활용한 모델링 활동에서 모델을 개발하는 과정을 조사한 사례연구를 제시한다. 연구 결과, 학생들은 도구를 조작하는 지각적 활동을 인지적 활동에 통합함으로써 변화하는 양 사이의 관계를 추론하고 모델화 하였다. 또한 도구를 조작하는 지각적 활동을 반성하면서 개발한 모델을 수정하고 정교화하였다. 특히, 학생들은 도구를 조작하는 지각적 활동을 내면화하여 도구를 조작하는 활동을 하지 않고서도 비커의 물부피와 높이의 관계그래프인 일반화 가능한 모델을 개발하였다.

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