음의 횟수에 관한 개념 정의 및 학습화전략

• 영문명: THE DEFINITION OF NEGATIVE COUNTING NUMBER AND TEACHING MODEL
• 발행기관: 대한수학교육학회
• 저자명: 김명운
• 간행물 정보: 『수학교육학연구』제8권 2호, 527~540쪽, 전체 14쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 1998.12.31

영문 초록

In the teacher's guide of mathematics textbook for the 1st grade of the middle school, the clear and logical reason why the multiplication of negative number to negative number makes positive number, and a -m with a>0 and m>0, is defined by {1 a m}, is not given. When we define the multiplication or the power by successive addition or successive multiplication of the same number, respectively, we encounter this ambiguity, in the case that the number of successive operations is negative. In this paper, we name this number, negative counting number, and we make the following more logical and intuitive definition, which is “negatively many successive operations is defined by positively many successive inverse operations.” According to this new definition, we define the multiplication by the successive addition or the successive subtraction of the same number, when the multiplier is positive or negative respectively, and the power by the successive multiplication or the successive division if the exponent of the power is positive or negative, respectively. In addition, using this new definition and following the E․R․S Instruction strategy which revised and complemented the Bruner's E‧I‧S Instruction strategy, we develope new teaching model available in the 1st grade class of middle school where the concept of integers, three operations of integers are introduced.

목차

1. 서론

2. 곱셈에 대한 오용

3. 음의 횟수의 개념 정의

4. 음의 횟수의 확장 적용

5. 음의 횟수의 학습화 전략( ERS 이론에 따른 3단계 지도 전략)

6. 결론

참고문헌