Lesh 표상 변환(translation) 모델을 적용한 3학년 학생들의 분수개념 학습
Third grade students' fraction concept learning based on Lesh translation model
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초록
본 연구에서는 초등학교 3학년 학생들을 대상으로 Lesh 표상 변환 모델을 적용한 RNP 교재의 사용이 분수에 대한 아동의 개념 이해와 문제 해결력에 어떤 영향을 미치는지를 알아보았다. RNP 교재의 사용은 아동들의 분수에 대한 개념적 이해를 향상시켰을 뿐 아니라 그들의 문제해결 능력 또한 향상시켰다. RNP 교재가 제공하는 다양한 구체적 조작 활동 및 표상 변환 활동을 통해서 아동들은 등분할로서의 분수의 개념에 대한 이해를 더욱 명확히 하였고, 개념적 이해를 토대로 다양한 문제 상황에서 적절한 문제 해결 전략을 사용하여 문제를 해결하였다. 특히, 후속 학습 내용인 분수의 크기 비교에 관한 문제 상황에서 아동들은 선행 학습 과정에서 만들어진 심상이나 수학적 경험을 토대로 올바른 추론 과정을 보여주었다.
Abstract
The purpose of the study was to investigate the effects of the use of RNP curriculum based on Lesh translation model on third grade students' understandings of fraction concepts and problem solving ability. Students' conceptual understandings of fractions and problem solving ability were improved by the use of the curriculum. Various manipulative experiences and translation processes between and among representations facilitated students' conceptual understandings of fractions and contributed to the development of problem solving strategies. Expecially, in problem situations including fraction ordering which was not covered during the study, mental images of fractions constructed by the experiences with manipulatives played a central role as a problem solving strategy.
참고문헌 (17)
- 권성룡, "초등학생의 분수이해에 관한 연구", 학교수학, 5(2), pp.7~273 (2003), 대한수학교육학회
- 선춘화, "초등학교 6학년 학생의 수감각 실태 조사", 수학교육, 44(4), pp.595~612 (2005), 한국수학교육학회
- 이강섭, "초등학교 5학년 학생들의 분수 연산능력 평가 문항에 대한 분석", 한국수학교육학회지 시리즈 C <초등수학교육>, 8(2), pp.61~68 (2004)
- Ball,D.L, "Magical Hopes: Manipulatives and the Reform of Math Education", American Educator, 16(Summer), pp.14~47 (1992)
- Cramer,K., "Rational Number Project: Fraction Lessons for the Middle Grades - Level 1", pp.1997, Kendall
- Cramer,K., "Initial Fraction Learning by Fourth- and Fifth-Grade Students: A Comparison of the Effects of Using Commercial Curricula With the Effects of Using the Rational Number Project Curriculum", Journal for Research in Mathematics Education, 33(2), pp.111~144 (2002)
- Kieren.T, "Personal knowledge of rational numbers: Its intuitive and formal development in Number-concepts and operations in the middle grades", National Council of Teachers of Mathematics, 53~92 (1988)
- Kouba,V., "What do students know about numbers and operations? in Results from the sixth mathematics assessment of the National Assessment of Educational Progress", National Council of Teachers of Mathematics, 87~140 (1997)
- Lesh,R, "Mathematical learning disabilities: Considerations for identification, diagnosis and remediation in Applied mathematical problem solving. Columbus", Eric Clearinghouse for Science, Mathematics, and Environmental Education, ~ (1979)
- Lesh,R, "Modeling Students' modelling behaviour", Proceedings of the fourth annual meeting of the North American Chapter of PME, pp.181~188 (1982)
- Moss,J., "Developing children’s understanding of the rational numbers: A new model and an experimental curriculum", Journal for Research in Mathematics Education, 30, pp.122~147 (1999)
- National Council of Teachers of Mathematics(NCTM), "Curriculum and Evaluation Standards for School Mathematics", NCTM, ~ (1989)
- National Council of Teachers of Mathematics(NCTM), "Principles and standards for school mathematics", NCTM, ~ (2000)
- Park,J, "Korean 8th grade students’ Achievement in Mathematics and Science in TIMSS-R International Benchmark", Korea Institute of curriculum and evaluation, ~ (2001)
- Post,T., "Interpretations of Rational Number Concepts in Mathematics for Grades 5-9", 1982 NCTM Yearbook, 59~72 (1982)
- Saxe,G.B., "Representing Fractions with Standard Notation: A Developmental Analysis", Journal for Research in Mathematics Education, 36(2), pp.37~157 (2005)
- Vygotsky,L.S, "Mind in society:The development of higher psychological processes" (1978), Harvard University Press.