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중학교 수학교과서에 제시된 각 개념 제시 양상

The concept of the angle presented in the middle school mathematics textbooks

김수미|허혜자
한국수학교육학회|2022.05|수학교육 (The Mathematical Education)|제61권 제2호|pp. 305-322|DOI https://doi.org/10.7468/mathedu.2022.61.2.305

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참고문헌

키워드

각도각angle각의 변각의 꼭짓점초등학교 수학교과서중학교 수학교과서angle measureside of anglevertex of angleelementary math textbookmiddle school math textbook

초록

이 연구의 목적은 중학교 수학교과서에 제시된 각 개념 도입 및 전개 양상을 살펴보고, 이를 토대로 수학교과서의 집필 방향 및 각 지도를 위한시사점을 도출하고자 하였다. 이를 위해 1차부터 2015 개정 교육과정까지 중학교 1학년 수학교과서 57권을 수집하여 각 및 각 주변 개념들의 표현방식을 분석하였고, 그것을 바탕으로 결론을 도출하였다. 분석 결과, 중학교 교과서에서는 각을 제시할 때 초등학교와 달리 각의 회전 관점 및 동적관점을 추가하여 다면적으로 접근하고 있으며, 각의 기술적 정의는 2009개정 교육과정 이후로는 기호 사용을 제외하고 대체로 초등학교 교과서와일치하는 것으로 나타났다.

Abstract

Angle has a variety of aspects, such as figure, measurement, and rotation, but is mainly introduced from a figure perspective and a quantitative perspective of the angle is also partially experienced in the elementary mathematics textbooks. The purpose of this study was to examine how the angle concept introduction and development pattern in elementary school mathematics textbooks are linked or changed in middle school mathematics textbooks, and based on this, was to get the direction of writing math textbooks and implications for guidance. To this end, 57 math textbooks for the first grade of middle school were collected from the first to the 2015 revised curriculum. As a result of the study, it was found that middle school textbooks had a greater dynamic aspect of each than elementary school textbooks, and the proportion of quantitative attributes of angle was higher in addition to qualitative and relational attributes. In other words, the concept of angle in middle school textbooks is presented in a more multifaceted and complex form than in elementary school textbooks. Finally, matters that require consensus within elementary, secondary, and secondary schools were also proposed, such as the use of visual expression or symbol, such as the use of arrows and dots, and the use of mathematical terms such as vertex of angle and side of angle.

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관련 논문AI추천

초등학교 수학 교과서에 제시된 각의 개념과 도입 방법 분석김상미한국수학교육학회 · 초등수학교육2018 · 제21권 제2호수학 교육과정 국제 비교·분석 연구 - 한국, 싱가포르, 영국, 호주, 미국의 각 관련 내용 중심으로최은, 권오남, 김서영한국수학교육학회 · 수학교육 논문집2019 · 제33권 제3호제1차 교육과정기 중학교 수학교과서에 나타난 직선 관련 내용의구성 및 전개 방식 분석도종훈한국수학사학회 · 한국수학사학회지2017 · 제30권 제2호수학교육에 있어서 각의 개념 지도 방안김태완, 박홍경, 정인철한국수학사학회 · 한국수학사학회지2005 · 제18권 제4호초등학교 수학교과서 각도단원 분석: 학습자 활동 및 과제를 중심으로이지현한국열린교육학회 · 열린교육연구2012 · 제20권 제1호수학과 교육과정과 교과서에 제시된 ‘삼각형의 세 각의 크기의 합’김상미, 김지현교육문제연구소 · 교육연구2022 · 제85권

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