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A Case Study on Reflection and Practice of an Elementary School Teacher in the Process of Planning, Executing and Criticizing a Lesson on Division with Decimals

소수 나눗셈 수업의 계획, 실행, 비평 과정에서 초등교사의 성찰과 실천에 관한 사례 연구

  • Kim, Sangmee (Department of Mathematics Education, Chuncheon National University of Education)
  • Received : 2018.07.20
  • Accepted : 2018.07.29
  • Published : 2018.07.31

Abstract

This study is a case study of an elementary school teacher's reflection and practice in the process of planning, executing and criticizing his lesson on division with decimals. The purpose of this study was to clarify what kinds of problems an elementary school teacher was thinking about and how his focus was changing in the process of planning and executing a lesson and criticizing his lesson with his peers. The teacher was set in three periods: a teacher planning a lesson, a teacher executing a lesson, and a teacher criticizing his or her own lesson. Each period was analyzed in eight aspects: Establishing the goals for mathematics, implementing tasks, connecting mathematical representations, facilitating mathematical discourse, posing questions, building procedural fluency from conceptual understanding, supporting productive struggles, and using evidences of students' thinking.

이 연구는 소수 나눗셈 수업을 중심으로 초등교사의 수업 성찰과 실행에 관한 사례 연구이다. 초등교사가 수학수업을 계획하고 실행하고 동료교사들과 자신의 수업을 비평하는 과정에서 어떤 고민을 하고 있으며 그 초점은 어떻게 변화해 가는지를 밝히고자 하였다. 수업을 계획하는 교사, 수업을 실행하는 교사, 동료교사와 자신의 수업을 비평하는 교사로 구분하고, 수학 목표, 과제의 실행, 수학적 표현, 수학적 담론, 질문의 설정, 개념적 이해와 절차적 능숙함, 생산적인 어려움, 학생 사고의 증거 활용 등의 8가지 측면을 따라 각 시기의 초등교사의 성찰과 실천을 분석하였다.

Keywords

References

  1. Kim, S.(2005). Metaphors on the Mathematics Teaching in Autobiography of an Elementary School Teacher. Unpublished doctoral dissertation, Korea National University of Education.
  2. Ministry of Education (2015). Mathematics 6-1 Teachers' Guide. Seoul: Chunjae.
  3. Byun, H. H.(2005). A didactical analysis of the decimal fraction concept. Unpublished doctoral dissertation, Seoul National University.
  4. Barnett-Clarke, C., Fisher, W., Marks, R., & Ross, S. (2010). Developing essential understanding of rational numbers for teaching mathematics in grades 3-5. Reston, VA: National Council of Teachers of Mathematics.
  5. Doyle, W. (1988). Work in mathematics classes: The context of students' thinking during instruction. Educational Psychologist 23, 167-180. https://doi.org/10.1207/s15326985ep2302_6
  6. Fuson, K. C., Fraivillig, J. L., & Burghardt, B. H. (1992). Relationships children construct among English number words, multiunit base-ten block, and written multidigit addition, In J. Campbell (ed.), The Nature and orgins of mathematics skills (pp.39-112), The Netherlands: Elsevier Science.
  7. Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., Murray, H.., Olivier, A., & Human, P. (1997). Making sense: Teaching and learning mathematics with understanding. Portsmouth, NH: Heinemann Educational Books
  8. Heaton, R. M. (1994). Creating and studying a practice of teaching elementary mathematics for understanding. Unpublished doctoral dissertation, Michigan State University, East Lansing.
  9. National Council of Teachers of Mathematics (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
  10. National Council of Teachers of Mathematics (1991). Professional standards for teaching mathematics, Reston, VA: Author.
  11. National Council of Teachers of Mathematics (1995). Assessment standards for school mathematics. Reston, VA: Author.
  12. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Author.
  13. National Council of Teachers of Mathematics (2014). Principles to actions: Ensuring mathematics success for all. Reston, VA: Author.