한국수학교육학회지시리즈E:수학교육논문집 (Communications of Mathematical Education)

  • 제36권1호
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  • Pages.59-72
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  • 2022
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  • 1226-6663(pISSN)
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  • 2287-9935(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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중등 예비교사들의 수학적 모델링 기반 수업 설계 사례연구

A Case Study of Lesson Design Based on Mathematical Modeling of Pre-Service Mathematics Teachers

  • 투고 : 2022.03.07
  • 심사 : 2022.03.28
  • 발행 : 2022.03.31
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초록

본 연구는 수학적 모델링 활동을 수행할 수 있는 과제 개발과 이를 기반한 수업 설계의 중요성을 생각하여, 수학적 모델링에 대한 예비교사들의 내재된 인식을 바탕으로 그들이 설계한 수학적 모델링 기반 수업의 특징을 파악하는 데 목적이 있다. 그 결과 예비교사들이 개발한 수학적 모델링 과제는 주로 개념 활용 학습을 목적으로, 실생활 맥락의 소재를 활용한 적정량의 정보를 제시한 다소 구조화된 형태로, 이해, 의미, 개념과 연결이 있는 절차적 과정이 필요한 인지적 요구수준으로 개발된 경향을 보였다. 이를 바탕으로 설계한 수업은 대부분이 준비 활동, 모델 도출 활동, 모델 탐험 활동만을 유도한 경향이 있었다. 본 결과를 토대로 예비교사 교육에서의 시사점을 논의하였다.

The purpose of this study is to understand the characteristics of the mathematical modeling tasks and lesson designs developed by pre-service teachers based on the inherent awareness of mathematical modeling, considering the importance of creating a task to perform mathematical modeling activity and designing a lesson. As a result, the mathematical modeling tasks developed by pre-service teachers mainly presents an appropriate amount of information using real life contexts for the purpose of learning using concepts, and it showed a tendency to develop to the level of cognitive demand that required procedures with connections to understanding, meaning, or concepts. And most of the developed modeling task-based lessons showed a tendency to design warm-up activity, model-eliciting activity, and model-exploration activity. This result is due to the lack of experience of pre-service teachers in creating mathematical modeling tasks. Therefore, it is necessary to continuously provide opportunities for pre-service teachers to learn concepts or create mathematical modeling tasks intended for exploration according to various mathematical contents, thereby actively cultivating their ability to create modeling tasks in the course of training pre-service teachers. Furthermore, it is necessary to strengthen the expertise in mathematical modeling teaching and learning by providing opportunities to actually perform the mathematical modeling-based classes designed by pre-service teachers and to experience the process of reflecting on the lessons.

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참고문헌

  1. Ministry of Education (2015). Mathematics curriculum (No. 2015-74). Seoul: Author
  2. Kim, M. K. & Han, H. S. (2021). The Effects of Mathematics-Centered STEAM Program on Mathematical Modeling Ability of First Grade Students in Middle School, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 35(3), 295-322.
  3. Kim, S. H., Park, K. M., & Lee, H. C. (2015). An Exploration of International Trends about the Core Competencies in Mathematics Curriculum, The Mathematical Education, 54(1), 65-81. https://doi.org/10.7468/MATHEDU.2015.54.1.65
  4. Park, M. Y. (2021). Designing Mathematical Tasks Including Sustainable Development Goals, Journal of Learner-Centered Curriculum and Instruction, 21(16), 787-801. https://doi.org/10.22251/jlcci.2021.21.16.787
  5. Park, J. H. (2017). Fostering Mathematical Creativity by Mathematical Modeling, Journal of Educational Research in Mathematics, 27(1), 69-88.
  6. Choi, J. S. (2017). Prospective Teachers' Perception of Mathematical Modeling in Elementary Class, Journal of Educational Research in Mathematics, 27(2), 313-328.
  7. Han, S. Y. (2019). Pre-service mathematics teachers' perceptions on mathematical modeling and its educational use. The Mathematical Education, 58(3), 443-458. https://doi.org/10.7468/MATHEDU.2019.58.3.443
  8. Hwang, H. J. (2007). A Study of Understanding Mathematical Modelling. School Mathematics, 9(1), 65-97.
  9. Blum, W. (2011). Can modelling be taught and learnt? Some answers from empirical research. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. A. Stillman (Eds.), Trends in teaching and learning of mathematical modelling: ICTMA14 (pp. 15-30). Dordrecht: Springer.
  10. Blum, W. (2015). Quality teaching of mathematical modelling: What do we know, what can we do?. In The proceedings of the 12th international congress on mathematical education (pp. 73-96). Springer, Cham.
  11. Blum, W., & Ferri, R. B. (2009). Mathematical Modelling: Can It Be Taught and Learnt? Journal of Mathematical Modelling and Application. 1(1), 45-58.
  12. Common Core State Standards Initiative. (2010). Common Core State Standards for Mathematics (CCSSM). Washington, DC: National Governors Association Centerfor Best Practices and the Council of Chief State School Officers. from http://www.corestandards.org/wp-content/uploads/Math_Standards.pdf
  13. Cavey, L. O., & Champion, J. (2016). Learning secondary school mathematics through authentic mathematical modeling tasks. Mathematical modeling and modeling mathematics, 131-141.
  14. English, L. D. (2006). Mathematical modeling in the primary school: Children's construction of a consumer guide. Educational studies in mathematics, 63(3), 303-323. https://doi.org/10.1007/s10649-005-9013-1
  15. Kaiser, G. (2017). The teaching and learning of mathematical modeling. In Compendium (Vol. 267, pp. 267-291).
  16. Kitchen, R. S., Roy, F. C., Lee, O., & Secada, W. G. (2009). Comparing teachers' conceptions of mathematics education and student diversity at highly effective and typical elementary schools. Journal of Urban Mathematics Education, 2(1), 52-80.
  17. Lesh, R., Cramer, K., Doerr, H. M., Post, T., & Zawojewski, J. S. (2003). Model development sequences. In R. Lesh, & H. M. Doerr (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 35-58). Mahwah, NJ: Lawrence Erlbaum
  18. Maass, K. (2010). Classification scheme for modelling tasks. Journal fur Mathematik-Didaktik, 31(2), 285-311. https://doi.org/10.1007/s13138-010-0010-2
  19. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA.: Author.
  20. Palsdottir, G., & Sriraman, B. (2017). Teacher's views on modeling as a creative mathematical activity. In Creativity and giftedness (pp. 47-55). Springer, Cham.
  21. Stein, M. K., & Smith, M. S. (1998). Mathematical tasks as a framework for reflection: From research to practice. Mathematics teaching in the middle school, 3(4), 268-275. https://doi.org/10.5951/mtms.3.4.0268
  22. Swetz, F., & Hartzler, J. S. (1991). Mathematical Modeling in the Secondary School Curriculum. National Council of Teachers of Mathematics, Inc., 1906 Association Dr., Reston, VA 22091.