수학적 은유의 사회 문화적 분석

• 영문명: Analysis of Mathematical Metaphor from a Sociocultural Perspective
• 발행기관: 대한수학교육학회
• 저자명: 주미경
• 간행물 정보: 『수학교육학연구』제11권 2호, 239~256쪽, 전체 18쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2001.12.31

영문 초록

The notion of metaphor has been increasingly popular in research of mathe-matics education. In particular, metaphor becomes a useful unit for analysis to provide a profound insight into mathematical reasoning and problem solving. In this context, this paper takes metaphor as an analytic unit to examine the relationship between objectivity and subjectivity in mathematical reasoning. Specifically, the discourse analysis focuses on the code switching between literal language and metaphor in mathematical discourse. It is shown that the linguistic code switching is parallel with the switching between two different kinds of mathematical knowledge, that is, factual knowledge and mathematical imagination, which constitute objectivity and subjectivity in mathematical reasoning. Furthermore, the pattern of the linguistic code switching reveals the dialectical relationship between the two poles of mathematical reasoning. Based on the understanding of the dialectical relationship, this paper provides some educational implications. First, the code-switching highlights diverse aspects of mathematics learning. Learning mathematics is concerned with developing not only technicality but also mathematical creativity. Second, the dialectical relationship between objectivity and subjectivity suggests that teaching and learning mathematics is socioculturally constructed. Indeed, it is shown that not all metaphors are mathematically appropriated. They should be consistent with the cultural model of a mathematical concept under discussion. In general, this sociocultural perspective on mathematical metaphor highlights the sociocultural organization of teaching and learning mathematics and provides a theoretical viewpoint to understand epistemological diversities in mathematics classroom.

목차

Ⅰ. 은유에 대한 현대 인지과학적 접근: 냉철한 사고 속에 스민 인간의 따스함

Ⅱ. 연구 방법론과 자료 수집: 사회 언어학적 민족지학연구

Ⅲ. 수학적 발화 속의 은유: 코드 변환의 분석

Ⅳ. 수학적 발화 사례의 코드 변환 분석

Ⅴ. 문화적 모델로서 수학적 은유: 수학 학습 경험의 사회문화적 구성에 대한 이해

참고문헌