DOI QR코드

DOI QR Code

The effects of social critical modelling classes on elementary school students' perception of mathematics and discussion patterns

사회비판적 모델링 수업이 초등학생들의 수학에 대한 인식 및 토론 양상에 미치는 영향

  • Shim, Jaehoon (Seoul Inheon Elementary School) ;
  • Park, Mangoo (Seoul National University of Education)
  • 심재훈 (서울인헌초등학교) ;
  • 박만구 (서울교육대학교)
  • Received : 2024.07.31
  • Accepted : 2024.09.24
  • Published : 2024.09.30

Abstract

The purpose of this study is to analyze the impact of a socio-critical modelling class on students' perception of the role of socially critical mathematics. Mathematics education involves cultivating the ability to understand and respond to the mathematics we use in our daily lives. Many elementary school students in Korea have doubts about why they need to learn mathematics, and in international assessments such as PISA and TIMSS, Korean students' affective dimensions are shown to be very negative. Researchers believed that a socio-critical modelling class would have an impact on students' perceptions and attitudes toward mathematics, and conducted a socio-critical modelling class for 20 sixth-grade elementary school students. Data collection and analysis were conducted inductively through students' words and actions during class, activity sheets, and interviews, based on the grounded theory of Strauss & Corbin (2014). As a result of the study, the socio-critical modelling class increased students' social critical awareness and made them re-aware of the role of mathematics.

이 연구의 목적은 사회비판적 모델링 수업이 초등학교 학생들의 사회비판적 수학의 역할에 대한 인식의 변화에 미치는 영향을 분석하는 것이다. 수학교육은 우리가 일상에서 활용하는 수학을 이해하고 대응할 수 있는 역량을 기르는 것을 포함한다. 우리나라의 많은 초등학교 학생의 경우 수학을 왜 배워야 하는지에 의구심을 갖고 있으며, 국제평가인 PISA나 TIMSS에서 한국 학생은 정의적 영역이 매우 부정적으로 나타나고 있다. 연구자들은 사회비판적 모델링 수업이 학생들의 수학에 대한 인식과 태도에 영향을 줄 것으로 생각하고, 초등학교 6학년 학생 20명을 대상으로 사회비판적 모델링 수업을 진행하였다. 자료의 수집과 분석은 Strauss & Corbin(2014)의 근거이론을 바탕으로 수업 중학생들의 말과 행동, 활동지, 면접을 통해 귀납적으로 분석하였다. 연구 결과, 사회비판적 모델링 수업에서 학생들은 다양한 시각에서 비판적 관점을 보여주었으며, 사회비판적 인식을 높이고 수학에 대한 역할을 재인식하도록 하였다.

Keywords

References

  1. Kwon, O., Bang, J., & Oh, K. (2013). A literature research on critical mathematics education. The Mathematical Education, 52(3), 319-334. 
  2. Ministry of Education. (2022b). Mathematics curriculum. Ministry of Education Notification No. 2022-33 [Supplementary Volume 8]. Ministry of Education. 
  3. Park, M. (2018). A Program development of social justice for mathematics education. Journal of Elementary Mathematics Education in Korea, 22(1), 47-67. 
  4. Park. M. (2021). Designing mathematical tasks including sustainable development goals. Korean Association for Learner-Centered Curriculum and Instruction, 21(16), 787-801. 
  5. Yeon, S., & Jang, H. (2023). An analysis of metacognition of elementary math gifted students in mathematical modeling using the task 'Floor Decorating'. Communications of Mathematical Education, 37(2), 257-276. 
  6. Choi, S. (2015). Study on the development of elementary school mathematics program with a focus on social issues for the mathematically gifted and talented students for fostering democratic citizenship : based on the teaching mathematics for social justice [Doctoral dissertation, Ewha Womans University]. 
  7. Araujo, J. (2009). Formatting real data in mathematical modelling projects. In M. Blomhoj, & S. Carreira (Eds.), Proceedings from topic study group 21 at the 11th international congress on mathematical education (pp. 229-239). Monterrey, Mexico: ICME-11. 
  8. Barbosa, J. (2006). Mathematical modelling in classroom: A socio-critical and discursive perspective. ZDM, 38, 293-301. 
  9. Barbosa, J. (2009). Mathematical modelling, the socio-critical perspective and the reflexive discussions. In M. Blomhoj & S. Carreira (Eds.), Proceedings from topic study group 21 at the 11th international congress on mathematical education (pp. 133-144). Monterrey, Mexico: ICME-11. 
  10. Blomhoj, M. (2009). Different perspectives in research on the teaching and learning mathematical modelling. Mathematical applications and modelling in the teaching and learning of mathematics. In M. Blomhoj & S. Carreira (Eds.), Proceedings from topic study group 21 at the 11th international congress on mathematical education (pp. 1-17). Monterrey, Mexico: ICME-11. 
  11. Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects-State, trends and issues in mathematics instruction. Educational Studies in Mathematics, 22(1), 37-68. https://doi.org/10.1007/BF00302716 
  12. Corbin, J., & Strauss, A. (2014). Basics of qualitative research: Techniques and procedures for developing grounded theory. Sage publications. 김미영, 정승은, 차지영, 강지숙, 권유림, 김윤주, 박금주, 서금숙 공역(2019). 근거이론. 현문사. 
  13. Creswell, J. W. (2012). Qualitative inquiry and research design: Choosing among five approaches. Sage publications. 
  14. D'Ambrosio, U. (1999). Literacy, matheracy, and technocracy: A trivium for today. Mathematical Thinking and Learning, 1(2), 131-153. 
  15. Ferri, R. (2017). Learning how to teach mathematical modelling in school and teacher education. Springer. 
  16. Flavin, E., & Hwang, S. (2024). US and Korean teacher candidates' approaches to mathematical modelling on a social justice issue. Research in Mathematical Education, 27(1), 25-47. https://doi.org/10.7468/jksmed.2024.27.1.25 
  17. Frankenstein, M.(1983). Critical mathematics education: An application of Paulo Freire's epistemology. Journal of Education, 165(4), 315-339. 
  18. Freire, P. (1970). Pedagogy of the oppressed. Seabury Press. 
  19. Freire, P. (1996). Letters to cristina. Routledge. 
  20. Gibbs, A. (2019). Socio-critical mathematical modelling and the role of mathematics in society [Doctoral dissertation, Florida Institute of Technology]. 
  21. Gibbs, A., & Park, J. (2022). Unboxing mathematics: Creating a culture of modelling as critic. Educational Studies in Mathematics, 110(1), 167-192. https://doi.org/10.1007/s10649-021-10119-z 
  22. Gonzalez, L. (2009). Teaching mathematics for social justice: Reflections on a community of practice for urban high school mathematics teachers, Journal of Urban Mathematics Education, 2(1), 22-51. 
  23. Greefrath, G., & Vorholter, K. (2016). Teaching and learning mathematical modelling: Approaches and developments from German speaking countries. Springer Nature. 
  24. Gutstein, E. (2003). Teaching and learning mathematics for social justice in an urban, Latino school. Journal for Research in Mathematics Education, 34(1), 37-73. 
  25. Gutstein, E.(2006). Reading and writing the world with mathematics: Toward a pedagogy for social justice. Routledge. 
  26. Ikeda, T. (2018). Evaluating student perceptions of the roles of mathematics in society following an experimental teaching program. ZDM, 50(1), 259-271. https://doi.org/10.1007/s11858-018-0927-3 
  27. Jung, H., & Magiera, M. (2023). Connecting mathematical modelling and social justice through problem posing. Mathematical Thinking and Learning, 25(2), 232-251. https://doi.org/10.1080/10986065.2021.1966713 
  28. Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM, 38, 302-310. https://doi.org/10.1007/BF02652813 
  29. Meyer, W. (2004). Concepts of mathematical modelling. Courier Corporation.
  30. National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Author. 
  31. National Council of Teachers of Mathematics. (2013). Equity special issue. Journal for Research in Mathematics Education, 44(1). Available from https://www.nctm.org/Publications/journal-for-research-in-mathematics-education/2013/Vol44/Issue1/Introduction-to-the-JRME-Equity-Special-Issue/ 
  32. National Governors Association Center for Best Practices, Council of Chief State School Officers. (2010). Common core state standards for mathematics. Available from https://www.nctm.org/uploadedFiles/Standards_and_Positions/Common_Core_State_Standards/Math_Standards.pdf. 
  33. Organization for Economic Cooperation and Development. (2013). PISA 2012 assessment and analytical framework: Mathematics, reading, science, problem solving and financial literacy. Available from https://www.oecd.org/pisa/pisaproducts/PISA%202012%20framework%20e-book_final.pdf. 
  34. Skovsmose, O. (1984). Kritik, undervisning og matematik [Doctoral dissertaion, Aalborg University]. 
  35. Skovsmose, O. (1994). Towards a critical mathematics education. Educational Studies in Mathematics, 27(1), 35-57. 
  36. Skovsmose, O. (2023). Critical mathematics education. Springer Nature. 
  37. Wager, A., & Stinson, D. (Eds.). (2012). Teaching mathematics for social justice: Conversations with educators. NCTM. 박만구, 김성여, 김예라, 조두경, 최성이 공역 (2015). 사회정의를 위한 수학교육. 경문사.