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네트워크 분석을 활용한 수학교육 기하 영역 연구 동향 분석

A trend analysis of research relating to geometry in mathematics education using keyword network analysis

고호경|신민경
한국수학교육학회|2024.11|수학교육 (The Mathematical Education)|제63권 제4호|pp. 745-766|DOI https://doi.org/10.7468/mathedu.2024.63.4.745

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키워드

연구 동향키워드 네트워크 분석Research trendsKeyword network analysis기하 교육Geometry education

초록

본 연구는 주제어로 키워드 네트워크 분석을 통해 국내 수학교육 기하 영역 연구의 트렌드를 살펴보고자 하였다. 이를 위해 2000년부터 2024년 5월까지 약 24년간 국내 학술지 중 수학교육 기하와 관련된 연구 논문의 주제어를 수집하였고, 총323편의 논문으로 전체 연구 기간 및 교육과정 개정 시기별로 나누어 네트워크 분석을 시행하였다. 연구 분석 결과 첫째, 주제어 출현 빈도와 연결 중심성과 근접 중심성이 가장 높게 나타난 주제어는 ‘중학교’이며, ‘정당화’는 빈도 순위에 비해 중심성이 높게 나타났다. 둘째, 모듈성을 이용한 하위 네트워크 분석과 에고 네트워크 분석을 통해 각 학교급에서의 연구의 특징과 수학영재 대상의 연구, 교육과정 개정에 따른 교과서 비교 연구가 나타났음을 파악할 수 있었다. 셋째, 교육과정 개정 시기별 연구 주제어는 유클리드 기하학의 논리적 구조와 추론에 중점을 둔 연구에서 직관적 사고와 실용성을 강조한 연구나실생활 문제해결과 관련된 연구의 증가로 개정 교육과정에서 강조하는 바에 따라 상응하여 진행되었음을 알 수 있다. 연구대상을 다양하게 범주화하여 분석한 결과로부터 수학교육 기하 영역 연구 주제의 핵심과 연계성을 파악함으로써 연구 동향의 이해를 돕고 향후 연구에서의 시사점을 제공하였다.

Abstract

This study aimed to examine trends in research on the geometry domain of mathematics education in Korea through keyword network analysis. To achieve this, keywords from research papers related to mathematics education and geometry published in domestic journals from 2000 to May 2024 were collected, totaling 323 papers. The network analysis was conducted by dividing the data into the entire research period and specific curriculum revision periods. The results of the analysis showed that, first, the keyword with the highest frequency of occurrence, degree centrality, and closeness centrality was ‘middle school’, while ‘justification’ showed high centrality despite a lower frequency ranking. Second, sub-network analysis using modularity and ego network analysis identified characteristics of research across different school levels, studies on mathematical giftedness, and comparative analyses of textbooks following curriculum revisions. Third, the research keywords during curriculum revision periods indicated a shift from studies focusing on the logical structure and reasoning of Euclidean geometry to those emphasizing intuitive thinking, practicality, and real-life problem-solving, aligning with the revised curriculum’s focus. By categorizing and analyzing the research subjects in various ways, the study identified the core and connections of research topics in the geometry domain of mathematics education, aiding in the understanding of research trends and providing implications for future research.

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