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경과시간 수업에서 제공되는 학습기회 분석: 양적 대상화를 중심으로

Analysis of Learning Opportunities Provided in Elapsed Time Instruction: Focusing on Quantitative Objectification

  • 투고 : 2021.10.13
  • 심사 : 2021.10.25
  • 발행 : 2021.10.31

초록

이 연구의 목적은 초등학교 수학교실에서 시행되는 경과시간 수업에서 학생들에게 제공되는 수학 학습기회를 탐색하는 것이다. 경과시간을 도입하는 데에 있어 후속 학년과의 수학적 연결성을 갖도록 경과시간을 양적으로 대상화하려는 교사들의 노력을 문서화하고자 하였다. 이를 위해 세 초등교사의 경과시간 도입 수업을 관찰하고 내러티브 분석을 시행하였다. 그 결과, 교사들은 도구를 사용하여 학생들이 경과시간을 양적으로 접근할 수 있도록 지원하고 있었으며, 같은 도구라도 서로 다른 양적 측면을 강조하였다. 아날로그 시계의 경우 한 교사는 시계바늘의 회전 바퀴 수로 양적 대상화를 시도한 반면, 다른 교사는 시계바늘이 아동한 거리로 경과시간의 양을 표상하였다. 시간띠의 길이 속성으로 경과시간의 양을 표상하는 경우도 있었다. 결과를 바탕으로 경과시간의 수업에서 다양하게 포착된 양적 대상화 사례들의 교수학적 의미를 논의하였다.

Seeing the elapsed time as a quantity that can be measured is quite challenging for students while making students see it is also challenging for teachers. Tuning on these challenges, this article reports on what learning opportunities elementary teachers provide when they teach elapsed time focusing on quantitative objectification. I observed three mathematics classrooms where the elapsed time was taught by three elementary teachers and did a narrative analysis on the instructions. All three teachers utilized certain tools to support students access to the elapsed time as a quantity. They appropriated various quantitative attributes of the tool. In the case of the analog clock, one teacher tried to quantification the elapsed time with the number of minute hand's turning, while the other teacher indicated the distance of minute hand's moving. One teacher represented the elapsed time with the longitudinal attribute of the time band. Standing on the findings, the didactical implications of various attempts for quantitative objectification of the elapsed time implemented were discussed.

키워드

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