대수적 사고와 대수 기호에 관한 고찰

• 영문명: A Study on the Algebraic Notations and Algebraic Thinking
• 발행기관: 대한수학교육학회
• 저자명: 김성준
• 간행물 정보: 『수학교육학연구』제12권 2호, 229~245쪽, 전체 17쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2002.05.31

영문 초록

In this paper, we start with the question “what is algebraic thinking?”. The problem is that the algebraic thinking is not exactly thinking, we verify that there is the algebraic notations in the core of algebraic thinking. So we devide algebraic notations into the six categories, and investigate these examples from the school mathematics. In order to investigate this relation of algebraic thinking and algebraic notations, we present ‘the algebraic thinking process analysis model’ from Frege' idea. In this model, there are three components of algebraic notations which interplays; sense, expression, denota-tion. Thus many difficulties of algebraic defined. We consider algebraic thinking from the various perspectives. But in the disc-ussion relating to the definition of algebraic thinking can be explained by this model. We suppose that the difficulty in the algebraic thinking may be caused by the discord of these three components. And through the transformation of conceptual frame, we can explain the dynamics of algebraic thinking. Also, we present examples which show these difficulties and dynamics of algebraic thinking. As a result of these analysis, we conclude that algebraic thinking can be explained through the semiotic aspects of algebraic notations.

목차

Ⅰ. 서론

Ⅱ. 대수적 사고의 정의

Ⅲ. 대수 기호의 사용 유형

Ⅳ. 대수적 사고 과정 분석

Ⅴ. 결론

참고문헌