DOI QR코드

DOI QR Code

The structure of teacher discourse in the process of solving mathematic problems

수학 문제 해결 과정에서의 교사 담론 구조

  • Received : 2022.02.24
  • Accepted : 2022.03.18
  • Published : 2022.05.31

Abstract

The purpose of this study is to analyze the teacher's discourse structure in the process of solving mathematics problems based on the communication between teachers and students. To achieve this goal, we observed a semester class by a teacher with experience who practiced a teaching method that creates mathematical meanings based on students' participation in class. In order to solve problems based on the participation of students in each class, the similarities between the processes of creating the structure of the discourse were analyzed. As a result of the analysis, the teacher was able to focus on the goal in the process of starting a discourse, and in the process of developing the discourse, the problem was solved by focusing on understanding the problem. In the process of arranging the discourse, the problem-solving process and the core of the result is summarized. Based on the possibility of generalization of the teacher discourse structure, it will be able to provide practical help in the process of implementing a teaching method that solves mathematics problems by communicating with students in the future.

본 연구의 목적은 교사와 학생 간의 의사소통을 바탕으로 수학 문제를 해결하는 과정에서 교사의 담론 구조를 분석하는 것이다. 이러한 목적 달성을 위해 학생들의 수업 참여를 바탕으로 수학적인 의미들을 만들어 가는 교수법을 다년간 실행한 경력 교사의 한 학기 수업을 관찰하였다. 한 학기 수업 중에서 주어진 문제를 해결하기 위해 담론의 구조를 만들어가는 과정들 간의 공통점을 분석하였다. 분석 결과 교사는 담론을 시작하는 과정에서는 목표에 집중을 할 수 있도록 하였고, 담론을 전개하는 과정에서는 문제 이해에 초점을 두고 문제를 해결하였으며, 담론을 정리하는 과정에서는 문제 해결 과정과 결과에서의 핵심을 요약하였다. 교사 담론 구조의 일반화 가능성을 바탕으로 향후 학생들과 소통하여 수학 문제를 해결하는 교수법을 실행하는 과정에 실질적인 도움을 줄 수 있을 것이다.

Keywords

References

  1. Anghileri, J. (2006). Scaffolding practices that enhance mathematics learning. Journal of Mathematics Teacher Education, 9, 33-52. https://doi.org/10.1007/s10857-006-9005-9
  2. Cha, S. (2001). A study on error analysis and correction according to the level of learning ability in letters and expression units [Master's thesis, Korea National University of Education Graduate School].
  3. Choi, S. (2020a). Interaction patterns between teachers-students and teacher's discourse structures in mathematization processes. The Mathematical Education, 59(1), 17-29. https://doi.org/10.7468/mathedu.2020.59.1.17
  4. Choi, S. (2020b). Teacher-student interaction patterns and teacher's discourse structures in understanding mathematical word problem. The Mathematical Education, 59(2), 101-112. https://doi.org/10.7468/mathedu.2020.59.2.101
  5. Choi, S. (2020c). Quantitative and qualitative analysis of teacher-student interaction in student engagement mathematics classes. Journal of Educational Research in Mathematics, 30(2), 227-244. https://doi.org/10.29275/jerm.2020.05.30.2.227
  6. Choi, S. (2020d). The structure of teacher discourse based on the error of solving mathematic problems of students in the process of sharing the results of peer mentoring activities. School Mathematics, 22(2), 277-292. https://doi.org/10.29275/sm.2020.06.22.2.277
  7. Choi, S., & Kim, D. (2017). Effects of a communicational approach to teacher education on cognitive changes in mathematical beliefs. Korean Journal of Teacher Education, 33(4), 25-50. https://doi.org/10.14333/KJTE.2017.33.4.25
  8. Correnti, R., Stein, M. K., Smith, M. S., Scherrer, J., McKeown, M., Greeno, J. & Ashley, K. (2015). Improving teaching at scale: Design for the scientific measurement and learning of discourse practice. Socializing Intelligence Through Academic Talk and Dialogue. AERA, 284. https://doi.org/10.3102/978-0-935302-43-1_25
  9. Glaser, B. F., & Strauss, A. L. (1967). The discovery of grounded theory. New York: Aldine de Gruyter.
  10. Gonzalez, G., & DeJarnette, A. (2015). Teachers' and students' negotiation moves when teachers scaffold group work. Cognition and Instruction, 33(1), 1-45. https://doi.org/10.1080/07370008.2014.987058
  11. Hong, J., & Park, D. (2013). The research on competitive strategies of mobile contents platforms based on network externality. The e-Business Studies, 14(5), 113-130. https://doi.org/10.15719/geba.14.5.201312.113
  12. Kang, O., Hwang, S., Kwon, E., Jeong, K., & Kim, Y. (2014). Middle school mathematics 1. Doosandonga.
  13. Kim, D., Shin, J., Lee, J., Lim, W., Lee, Y., & Choi, S. (2019). Conceptualizing discursive teaching capacity: A case study of a middle school mathematics teacher. School Mathematics, 21(2), 291-318. https://doi.org/10.29275/sm.2019.06.21.2.291
  14. Kim, E. (2013). Strategies for creating an ecosystem based on open platforms. Journal of The Korean Institute of Communication Sciences, 30(9), 59-64.
  15. Kim, S. (2011). Error analysis and correction measures that occur in 7-A 'letters and expressions' [Master's thesis, Korea University Graduate School].
  16. Kwon, H., Na, Y., & Park, J. (2013). Platform based of the major attribute research for the service ecosystem construction. Journal of Information Technology Service, 12(4), 461-472. https://doi.org/10.9716/KITS.2013.12.4.461
  17. Park, S. (2004). Effect of calculation process correction in calculating rational numbers [Master's Thesis, Ewha Womans University Graduate School of Education].
  18. Sfard, A. (1998). On two metaphors for learning and the dangers of choosing just one. Educational Researcher, 27(2), 4-13. https://doi.org/10.3102/0013189X027002004
  19. Williams, S., & Baxter, J. (1996). Dilemmas of discourse oriented teaching in one middle school mathematics classroom. The Elementary School Journal, 97(1), 21-38. https://doi.org/10.1086/461847
  20. Wittgenstein, L. (1953/2003). Philosophical investigations: The German text, with a revised English translation(3rd ed., G. E. M. Anscombe, Trans.). Malden, Blackwell.
  21. Yang, M. (2009). Case study on teaching mathematics slow-learners by mathematical visualization [Master's thesis, Korea National University of Education Graduate School of Education].