동적조작 환경이 융합된 수학교과과정에서의 교수-학습 과제 사례 분석과 교사의 역할 = A Case Study on Pedagogical Tasks in Mathematics Curriculum Integrating Dynamic Manipulation Environments and the Role of a Teacher

다국어 초록 (Multilingual Abstract)

In this paper, we show how dynamic manipulation environments can be integrated in the mathematics curriculum by presenting some pedagogical tasks manufactured by dynamic manipulation. These examples are composed to produce meaningful definitions through inductive experiments, to strengthen the thinking ability on continuity through the visualization, to make mathematics through investigation and finding, and to strengthen the ability of posing and generalizing problems. Through these examples students can observe the process of how mathematics is being invented, and they can experience how to solve mathematical problems using physical experiments in dynamic manipulation environments.
When integration of dynamic manipulation into the teaching and learning of mathe- matics is applied, some difficulties can come out. To resolve such difficulties, a teacher must play the role of a co-worker of students in addition to the role of a scaffolder, coach, or close listener.

국문 초록 (Abstract)

본 논문에서는 동적조작 환경 속에서 이루어지는 물리적 실험을 도구로 선택하여 발명되고 있는 과정으로서의 수학을 학생들이 접할 수 있도록 1) 정의 도입 방식을 변화시켜 의미 있는 수학적 정의를 만들어내는 2) 시각화를 통한 연속성 사고 능력을 강화하는 3) 발견과 탐구를 통하여 수학을 만들어내는 4) 문제를 제기하고 일반화하는 능력을 강화하는 사례들을 제시하고 분석함으로써 수학교과과정에 어떻게 동적조작 환경을 융합시킬 수 있는가를 보였다.
이러한 교수-학습 환경 하에서 발생할 수 있는 문제점을 분석하고, 이러한 문제점을 해결하기 위한 교사의 역할에 대해 논하였다.

참고문헌 (Reference)

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