연산 결과의 의미 이해에 관한 연구
A Study on the Understanding in Results of Arithmetic Operation
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The arithmetic operation have double-sided character. One is calculation as a process, the other is understanding in results as an outcome of the operation. We harbored suspicion on students' misunderstanding in an outcome of the operation, because the curriculum has focused on the calculation, as a process of arithmetic operation. This study starts with the presentation of this problem, we tried to find the recognition ability and character in the arithmetic operation. We researched the recognition ability for 7th grade 27 students who have enough experience in arithmetic operation when studying in elementary school. And we had an interview with 3students individually, that has an error in understanding in results of arithmetic operation but has no error in calculation. We focused on 3students' detailed appearance of the ability to understand in results of arithmetic operation and analysed the changing appearance after recommending unit record using operation expression. As a result, we could find the abily to underatanding in results of arithmetic operation and applicability to recommend unit record using operation expression. Through these results, we suggested educational implications in understanding in results of arithmetic operation.
Abstract
The arithmetic operation have double-sided character. One is calculation as a process, the other is understanding in results as an outcome of the operation. We harbored suspicion on students' misunderstanding in an outcome of the operation, because the curriculum has focused on the calculation, as a process of arithmetic operation. This study starts with the presentation of this problem, we tried to find the recognition ability and character in the arithmetic operation. We researched the recognition ability for 7th grade 27 students who have enough experience in arithmetic operation when studying in elementary school. And we had an interview with 3students individually, that has an error in understanding in results of arithmetic operation but has no error in calculation. We focused on 3students' detailed appearance of the ability to understand in results of arithmetic operation and analysed the changing appearance after recommending unit record using operation expression. As a result, we could find the abily to underatanding in results of arithmetic operation and applicability to recommend unit record using operation expression. Through these results, we suggested educational implications in understanding in results of arithmetic operation.
참고문헌 (16)
- 강정기, "연산 결과의 의미 이해를 돕기 위한 단위 사용에서의 교수학적 변환 연구", 초등수학교육, 17(3), pp.231~251 (2014), 한국수학교육학회
- 교육과학기술부, "초등학교 수학 6-1" (2010), ㈜ 천재교육
- 교육과학기술부, "초등학교 수학 5-1" (2010), 두산동아
- 교육과학기술부, "초등학교 수학 5-2" (2010), 두산동아
- 교육과학기술부, "초등학교 수학 6-1 지도서" (2011), 두산동아
- 교육부, "초등학교 수학 4-1 교사용 지도서" (2014), ㈜ 천재교육
- 교육부, "초등학교 수학 4-1" (2014), ㈜ 천재교육
- 황우형, "자연수의 사칙연산에 대한 아동의 이해 분석", 수학교육, 47(4), pp.519~543 (2008), 한국수학교육학회
- Carpenter, T. P., "Children's mathematics cognitively guided instruction" (1999), Heinemann
- Carpenter, T. P., "Models of problems solving : A study of kindergarten children's problem-solving processes", Journal for Research in Mathematics Education, 24, pp.428~441 (1993)
- Carpenter, T. P., "Classics in mathematics edcuational research", pp.134~151 (2004), NCTM
- Christou, C., "The developmental nature of ability to solve one-step word problems", Journal for Research in Mathematics Education, 29(4), pp.436~442 (1998)
- English, L. D., "Mathematics education models and processes" (1995), Lawrence Erlbaum
- Fischbein, E., "The role of implicit models in solving verbal problems in multiplication and division", Journal for Research in Mathematis Education, 16, pp.3~17 (1985)
- Greer, B., "Handbook of Research on Mathematics Teaching and Learning", pp.276~295 (1992), Macmillan
- Mulligan, J. T., "Young children's intuitive models of multiplication and division", Journal for Research in Mathematics Education, 28(3), pp.309~330 (1997)