분할과 반복 조작을 통한 분수지도 탐구

A Study on a Fraction Instruction via Partitioning and Iterating Operations

이 연구는 Steffe의 분수 조작과 스킴의 바탕이 되는 분할 및 반복과 관련된 예비 초등교사가 지니고 있는 개념 인식도를 분석하고 이를 통해 약간의 교육적 시사점을 얻고, 분할과 반복의 방법이 사용될 수 있는 실제적인 응용의 일환으로, 나누는 수가 분수인 분수 나눗셈과 관련된 초등 수학교과서 내용을 재구성하는 예시를 제공하고자 한다.

The fractional concept consists of various meaning, so that it is difficult to understand in primary school mathematics. In this article, we intend to analyze the cognition of 54 pre-service elementary teachers about the operations of partitioning and iterating that are based on Steffe's fraction schemes. The following fraction problem is used in this analysis: If the bar $\Box$ represent 3/8, then create a bar that is equivalent to 4/3. In our analysis, the 43% of pre-service elementary teachers can be well to treat the operations of partitioning and iteration. The 33% are use the equivalent fractions. But the 19% is not good. From the our analysis, it is important that pre-service elementary teachers must be have experimental(operational) thinking as the science education. And in this study we apply the operations of partitioning and iterating to the fraction activity of textbooks.