수학적 의미 형성 과정에서 나타나는 제스처와 다이어그래밍의 상호 수반적 작용: 다이어그램을 통한 통계적 사고 사례를 중심으로
The Mutual Involvement of Gesture and Diagramming in the Process of Mathematical Meaning-Making: Case of Statistical Thinking through Diagrammatic Reasoning
  • 문성재
  • 노정원
  • 이경화
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초록

The purpose of this study is to propose a framework for analyzing a mutually corresponding relationship between gestures and diagramming in constructing making mathematical meanings. To this end, this study analyzes the case of mathematics classes which aimed at recognizing the relationship between average and a statistical distribution through activities using diagrams. Findings indicate that several students performed informal mathematical thinking using gestures and diagrams about some diagrams without numerical information. Further, our analysis captures the way gestures and diagramming reveal new mathematical meanings and elaborates the role of gestures and diagramming to refine the meanings. This study also discusses in what ways researchers and teachers can use the framework to better understand various types of gestures and diagrams in mathematical thinking.

키워드

actualization of the virtualdiagrammingaveragerealization of the possiblegesture가능성의 실재화다이어그래밍대푯값잠재성의 현실화제스처
제목
수학적 의미 형성 과정에서 나타나는 제스처와 다이어그래밍의 상호 수반적 작용: 다이어그램을 통한 통계적 사고 사례를 중심으로
제목 (타언어)
The Mutual Involvement of Gesture and Diagramming in the Process of Mathematical Meaning-Making: Case of Statistical Thinking through Diagrammatic Reasoning
저자
문성재노정원이경화
DOI
10.29275/jerm.2021.31.4.427
발행일
2021-11
저널명
수학교육학연구
31
4
페이지
427 ~ 448