과정-대상 측면에서 본 ‘대수적 사고’ 연구

• 영문명: A study on the algebraic thinking: From the perspective of 'process' and 'object' aspects
• 발행기관: 대한수학교육학회
• 저자명: 김성준
• 간행물 정보: 『수학교육학연구』제12권 4호, 457~472쪽, 전체 16쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2002.11.30

영문 초록

In this paper, we deal with the algebraic thinking from the perspective of ‘process’and ‘object’ aspects. Generally, mathematical con-cepts have come from the concrete process. We consider the origin of algebra as the arithmetic calculations. Also, the concept of school arith-metic is beginning from actions or procedures. However, in order to develop the alge- braic thinking and to apply this thinking, we have to see the history of algebraic thinking, and find this duality. Next we investigate various researches relating to the ‘process-object duality’. Theses studies suppose that the concept formation and thinking process should be started from the process-object duality. Finally, we reinterprete many difficulties in algebra - equals sign, vari-ables, algebraic expressions, and linear equations, the principle of permanence of form- from the perspective of the process-object duality.

목차

Ⅰ. 서론

Ⅱ. 대수의 역사적 전개와 과정-대상 측면들

Ⅲ. 대수적 사고의 인식론적 고찰: 과정-대상 측면에서의 논의

Ⅳ. 대수적 사고와 관련된 어려움: 과정-대상 측면에서의 재해석

Ⅴ. 결론

참고문헌

키워드

과정 대상 대수적 사고 과정-대상의 이중성 process object algebraic thinking process-object duality