비비례 모델 적용을 통한 곱셈적 사고와 나눗셈 학업성취도 향상 분석
Analysis of Multiplication Thinking and Academic Achievement on Division through the Application of Non-proportional Model
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The proportional model and the non-proportional model are suggested in the mathematics curriculum as one of the tools to help mathematical understanding, but in Korea, the arithmetic algorithm is only introduced through the proportional model. This study analyzed the degree of multiplication thinking and division academic achievement of 3rd grade students through the application of proportional and non-proportional models. As a result of the study, the experimental group that applied both the proportional model and the non-proportional model significantly improved the multiplicative thinking level and division academic achievement compared to the comparative group. These results indicate that division learning using the proportional model and the proportional model together is more effective. Through these results, we suggested some conclusions and implications for improving division learning and teaching.
Abstract
The proportional model and the non-proportional model are suggested in the mathematics curriculum as one of the tools to help mathematical understanding, but in Korea, the arithmetic algorithm is only introduced through the proportional model. This study analyzed the degree of multiplication thinking and division academic achievement of 3rd grade students through the application of proportional and non-proportional models. As a result of the study, the experimental group that applied both the proportional model and the non-proportional model significantly improved the multiplicative thinking level and division academic achievement compared to the comparative group. These results indicate that division learning using the proportional model and the proportional model together is more effective. Through these results, we suggested some conclusions and implications for improving division learning and teaching.
참고문헌 (20)
- 차지현, "초등수학수업에서 시선영상 자기반성을 통한 초보 교사의 시선 변화 분석", Brain, Digital, & Learning, 10(1), pp.107~121 (2020), 뇌·AI기반교육연구소[DOI]
- 정영옥, "초등학교에서의 암산 지도에 관한 논의", 학교수학, 5(2), pp.2~189 (2003), 대한수학교육학회
- Clark, F., "Identification of multiplicative thinking in children in grades 1-5", Journal of Research in Mathematics Education, 27(1), pp.41~51 (1996)
- 한은혜, "초등에서의 곱셈적 사고 지도- 초등 5학년을 위한 교수-학습 자료 개발을 중심으로 -", 학교수학, 10(2), pp.155~179 (2008), 대한수학교육학회
- Jang, M. R., "A study on the multiplicative thinking of 2nd grade elementary students", Communications of Mathematical Education, 20(3), pp.443~467 (2006)
- Jordan, W. J., "Defining equity : Multiple perspectives to analyzing the performance of diverse learners", Review of Research in Education, 34(1), pp.142~178 (2010)
- 강태석, "초등학교 2학년 수 개념 지도를 위한 비비례모델의 적용 가능성 탐색", 한국초등수학교육학회지, 19(3), pp.305~321 (2015), 한국초등수학교육학회
- 김주창, "A Study on the Neuroscience and Operation in Mathematics Education", Brain, Digital, & Learning, 8(1), pp.43~50 (2018), 뇌·AI기반교육연구소[DOI]
- 김정원, "초등학교 3학년 학생들의 곱셈적 사고에 따른 비례 추론 능력 분석", 수학교육학연구, 23(1), pp.1~16 (2013), 대한수학교육학회
- 김소희, "초등학교 4학년 학생들의 수학 문제해결과정에서의 시각적 표현", 초등수학교육, 16(3), pp.285~301 (2013), 한국수학교육학회
- Kim, S, J., "Elementary school mathematics and textbook research and guidance methods" (2013), Dongmyungsa
- Lee, J. J., "Identification of multiplicative thinking in elementary schoolers", master, pp.2001
- Ministry of Education, "Mathematics teacher’s manual 3-2" (2018), Chunjae Education Inc
- Park, H. M., "Students informal knowledge of division in elementry school mathemtics", Journal of Elementry Mathematics Education in Korea, 10(2), pp.221~242 (2006)
- Park, H. N., "an analysis of cognitive demands of mathematical tasks in korea and japan elementary school textbooks in proportional reasoning", Brain, Digital &Learning, 7(1), pp.49~66 (2017)
- Piaget, J., "The psychology of intelligence" (1950), Lowe and Brydone Limited
- Piaget, J., "Possibility and necessity" (1987), University of Minnesota Press
- Reys, R., "Helping children learn mathematics" (2009), John Wiley & Sons
- Steffe, L. P., "The development of multiplicative reasoning in the learning of mathematics", pp.3~39 (1994), SUNY Press
- Thompson, I., "Issues in teaching numeracy in primary schools", pp.169~184 (1999), University Press
