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기표의 구현과 수학적 이해: 경과시간을 중심으로

Realization of signifiers and mathematics understanding: Focused on the elapsed time

한채린
한국수학교육학회|2021.08|수학교육 (The Mathematical Education)|제60권 제3호|pp. 249-264|DOI https://doi.org/10.7468/mathedu.2021.60.3.249

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참고문헌

키워드

사회문화적 접근기표signifiermathematics learning수학 학습경과시간elapsed time구현 수형도socioculural approachrealization tree

초록

이 연구는 사회문화적인 관점에서 경과시간이라는 수학적 대상을 구현하는 기표를 통해 학생들의 경과시간 이해를탐색하였다. 연구 결과, 학생들은 주어진 기표에 따라 차별화된 방식으로 경과시간 과제를 수행하고 있음이 확인되었고, 개별적으로 구성된 학생들의 경과시간 구현 기표 수형도는 이들이 특히 아날로그 시계 기표에서 경험하는 차별화된 과제 수행을 설명해주었다.

Abstract

This article is devoted to investigating young learners’ understanding of elapsed time from socio-cultural perspectives. The socio-cultural perspective benefits to access and personalize mathematics learning as how to have a mathematical object to be able to realize signifiers with the help of many other mathematical words and mediators. In terms of the realization of signifiers, I analyzed performances on elapsed time tasks of students in Grades 3 (n=115) and interviewed focal students. Quantitative analysis on students’ performance identified that students perform differently when the task provided with the analog clock signifier. It suggested that students might think in a different way upon the given signifier even for the same elapsed time, especially when given as the analog clock. Qualitative analysis on focal students' interviews visualized how the students’ understanding were different by displaying individual realization trees on elapsed time. The particular location of the analog clock signifier on each realization tree provided a personalized explanation about low performance on the task with analog clock signifier. The finding suggested that the realization of a specific signifier could be a key point in elapsed time understanding. I discussed why a majority of students face difficulty in elapsed time learning indicated analog clock and the advantage of moving elapsed time strands to higher grades in the school mathematics curriculum.

참고문헌 (58)

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