Case Analysis of Modeling Lessons
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This Modeling is a cyclical process of creating and modifying models of empirical situations to understand them better and improve decisions. The role of modeling and teaching mathematical modeling in school mathematics has received increasing attention as generating authentic learning and revealing the ways of thinking that produced it. In this paper and interactive lecture session, we will review a subset of the related literature, discuss benefits and challenges in teaching and learning mathematical modeling, and share our attempts to improve traditional textbook problems so that they can become more authentic modeling activities and implications for instruction and assessment as well as for research.
Abstract
This Modeling is a cyclical process of creating and modifying models of empirical situations to understand them better and improve decisions. The role of modeling and teaching mathematical modeling in school mathematics has received increasing attention as generating authentic learning and revealing the ways of thinking that produced it. In this paper and interactive lecture session, we will review a subset of the related literature, discuss benefits and challenges in teaching and learning mathematical modeling, and share our attempts to improve traditional textbook problems so that they can become more authentic modeling activities and implications for instruction and assessment as well as for research.
참고문헌 (30)
- Abrams, J. P., "The roles of representation in school mathematics", pp.269~282 (2001), NCTM
- Brown, S., "The art of problem posing" (2005), Lawrence Erlbaum Associates
- Cheng, A. K., "Teaching mathematical modelling in Singapore schools", The Mathematics Educator, 16(1), pp.63~75 (2001)
- "Common Core State Standards for Mathematics" (2010)[URL]
- Doerr, H. M., "An integrated approach to mathematics modeling: A classroom study", Paper presented at the Annual Meeting of the American Education Research Association (1995)
- Doerr, H. M., "A Modeling perspective on students'mathematical reasoning bout data", Journal for Research in Mathematics Education, 34(2), pp.110~136 (2003)
- Dossey, J. A., "Mathematics methods and modeling for today's mathematics classroom: A contemporary approach to teaching grades", pp.2002, Books
- English, L. D., "Teaching mathematics through problem solving: Prekindergarten – Grade 6", pp.187~198 (2003), NCTM
- English, L. D., "Problem posing and solving with mathematical modeling", Teaching Children Mathematics, 12(3), pp.156~163 (2005)
- English, L., "Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching", pp.297~316 (2003), Lawrence Erlbaum Associates, Inc
- Galbraith, P. L., "Beyond standard models-Meeting the challenge of modelling", Educational Studies in Mathematics, 21, pp.137~163 (1990)
- Greer, B., "Modelling reality in mathematics classrooms : The case of word problems", Learning & Instruction, 7, pp.293~307 (1997)
- 강옥기, "수학적 모델링의 정교화 과정 연구", 수학교육학연구, 20(1), pp.73~84 (2010), 대한수학교육학회
- 김민경, "수학적 모델링 적용을 위한 문제상황 개발 및 적용", 수학교육, 49(3), pp.313~328 (2010), 한국수학교육학회
- 이종희, "일차함수 활용문제의 해결을 위한 강의식, 모델링, 과제기반 표현변환 학습의 교수학적 효과 분석", 수학교육학연구, 14(1), pp.39~69 (2004), 대한수학교육학회
- Lee, J. K., "The method of improving problem solving ability by the application of teaching-learning based on mathematical modeling –Focusing on the first year of high school students", Dongkuk University Education Research Center, 18(1) (2006)
- Lesh, R., "Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching", pp.3~34 (2003), Lawrence Erlbaum Associates, Inc
- Lesh, R., "Research design in mathematics and science Education", pp.591~646 (2000), Lawrence Erlbaum Associates
- Lesh, R., "Models and modeling perspectives on the development of students and teachers", Mathematical Thinking and Learning, 5(2&3), pp.109~129 (2003)
- Lesh, R., "Beyond constructivism:Models and modeling perspectives on mathematics problem solving, learning, and teaching", pp.205~222 (2003), Lawrence Erlbaum Associates, Inc
- Lew, H. C., "Middle school mathematics 2" (2011), Mirae &Culture Group
- Meyer, W. J., "Concepts of mathematical modeling" (1984), Dover Publications, INC
- Ministry of Education, Science and Technology, "Mathematics 6-2" (2011), Doo San
- NCTM, , 1989
- NCTM, "Principles and standards for school mathematics" (2000), NCTM
- Schorr, R. Y., "Beyond constructivism:Models and modeling perspectives on mathematics problem solving, learning, and teaching", pp.141~158 (2003), Lawrence Erlbaum Associates, Inc
- 신경희, "절댓값 기호를 포함한 일차함수와 그래프의 개념발달에 관한 수학적 모델링 사례연구", 수학교육, 50(2), pp.163~182 (2011), 한국수학교육학회
- Swetz. F., "Mathematical modeling in the secondary school curriculum", Mathematics Teacher, 84(7), pp.571~ (1991)
- Verschaffel, L., "Teaching realistic mathematical modeling in the elementary school : A teaching experiment with fifth graders", Journal for Research in Mathematics Education, 28(5), pp.577~601 (1997)
- Zawojewski, J. S., "Beyond constructivism:Models and modeling perspectives on mathematics problem solving, learning, and teaching", pp.317~336 (2003), Lawrence Erlbaum Associates, Inc