Journal of the Korean School Mathematics Society (한국학교수학회논문집)

The Korean School Mathematics Society (한국학교수학회)
권호 표지
DOI QR코드

DOI QR Code

Exploring the direction of mathematics education in Korea based on the changes of definitions of mathematical literacy and frameworks in PISA

국제학업성취도평가(PISA)의 수학 소양의 정의 및 평가틀의 변화를 통해 살펴본 수학교육의 방향

  • Choi, Inseon (Korea Institute for Curriculum and Evaluation)
  • Received : 2024.02.19
  • Accepted : 2024.03.17
  • Published : 2024.03.30
⟨ Previous Next ⟩

Abstract

Drawing on PISA data published by the PISA OECD, this study examines how the mathematical literacy and frameworks underpinning PISA assessments have evolved over time. Through PISA results reports from PISA 2000 to PISA 2022, this study examines how and why the definition of mathematical literacy has changed over the PISA cycle, and analyze how the mathematics assessment framework has evolved. It then discusses the implications of the changes in definitions of mathematical literacy and framework in PISA assessment for mathematics education in Korea. Based on these implications, this study makes recommendations for the future of mathematics education in Korea, focusing on which mathematics content areas and mathematical concepts should be taught to future citizens.

본 연구에서는 PISA OECD가 발간한 PISA 관련 자료를 토대로 PISA 평가의 근간이 되는 수학 소양과 이에 따른 평가틀이 어떻게 변화해 왔는지를 살펴보았다. 수학 소양의 정의가 PISA 주기에 따라 어떻게 변화하였는지 왜 변화하였는지를 PISA 결과보고서를 토대로 살펴보고, 이에 따라 수학 평가틀이 어떻게 변화하였는지를 주기별로 정리하였다. 이후 PISA 수학 소양의 의미와 평가틀의 변화가 우리나라 수학교육에 주는 시사점을 도출하였다. 도출된 시사점을 바탕으로 우리나라 수학교육에서 미래 시민으로 필요한 수학 내용 영역이 무엇인지, 수학적 개념을 어떻게 지도해야 하는지에 무게를 두고 우리나라의 수학교육이 나아가야 할 방향을 제언하였다.

Keywords

References

  1. Ministry of Education, Science and Technology (2008). 2007 revised high school curriculum commentary: Mathematics (Ministry of Education and Human Resources Development Notice No. 2007-79). Ministry of Education, Science and Technology Publication Registration No. 11-1341000-000530-14. 
  2. Ministry of Education (1997). Explanation of the 7th high school curriculum: Mathematics (Ministry of Education Notice No. 1997-15). Ministry of Education. 
  3. Ministry of Education (2021). 2022 revised curriculum overview highlights(draft). Ministry of Education press release (2021. 11. 24.). 
  4. Ministry of Education (2022). 2022 basic education statistics survey results announced. Ministry of Education press release (2022. 8. 30.). 
  5. Ministry of Education (2023). Results of the OECD programme for international student assessment (PISA 2022) announced. Ministry of Education press release (2023. 12. 5.). 
  6. Ku. J. O., Kim, S. S., Rim, H. M., Park, H. Y., & Han. J. A. (2015). Programme for International Student Assessment(PISA 2015) main survey technical report. Korea Institute for Curriculum and Evaluation Research Report RRE 2015-6-2. 
  7. Kim, K. H., Si, K. J., Kim, M. Y., Ok, H. J., Rim, H. M., & Kim, S. H. (2010). The programme for international students assessment(PISA 2009) results. Korea Institute for Curriculum and Evaluation research report RRE 2010-4-2. 
  8. Kim, S. K., Kim, M. H., Kim. I. S., Lee, S. Y., & Bak. H. S. (2023). The Programme for International Students Assessment(PISA 2022) results. Korea Institute for Curriculum and Evaluation Research Report RRE 2023-10. 
  9. Kim, J. H. (2020). Analyzing the gap between intention and reality of the OECD PISA: Focusing on the effects of power on curriculum reform. The Journal of Curriculum Studies, 38(2), 5-26.  https://doi.org/10.15708/KSCS.38.2.1
  10. Kim, H. K., Song, M. H., Choi, I. Y., & Jong, I. W. (2020). Characteristics of low-achievers in computer-based mathematics assessment: Evidence from PISA 2018. School Mathematics, 22(3), 791-809. 
  11. Na, G. S. (2005). A profile of mathematical literacy on Korean students in PISA 2003. The Journal of Educational Research in Mathematics, 15(2), 147-176. 
  12. Park, K., Lee, H., Park, S., Kang, E., Kim, S., Lim, H., Kim, S. Chang, H., Kang, T., Kwon, J., Kim, M., Bang, J., Lee, H., Lim, M., Lee, M., Kim, H., Yun, S., Lee, K., Lee, K., Jo, H., Kwon, Y., Kwon, O., Shin, D., Kang, H., Kim, J., Do, J., Park, J., Seo, B., An, H., Oh, T., Lee, K., Lee, K., Lee, M., Lee, S., Lee, E., Lee, J., Jeon, T., Choi, J., Hwang, S., Park, M., Kim, H., Kang, S., & Yeo, M. (2015). A development of a draft for the 2015 revised mathematics Curriculum II. Korea Foundation for the Advancement of Science & Creativity Research Reprot BD15120005. 
  13. Song, M. Y., Rim, H. M., Choi, H. J., Park. H. Y., & Son, S. K. (2013). OECD programme for international students assessment : Analyzing PISA 2012 results. Korea Institute for Curriculum and Evaluation Research Report RRE 2013-6-1. 
  14. Shin, I., Hwang, H., Kim, D., Lee, D., Song, M., Shin, H., Chang, H., Kim, S., Ko, H., Kim, S., Lee, H., Bang, S., Park, H., Lee, J., Kim, Y., Do, J., Kim, H., Jeon, C., Choi, H., Ko, M., Hwang, H., Son, B., Oh, E., & Song, H. (2011). A study of the mathematics curriculum according to the 2009 revised curriculum. Korea Foundation for the Advancement of Science & Creativity. 
  15. Lee, M. Kwak, Y. S., Min, K. S., Chae, S. H., Na, G. S., & Park, K. M. (2004). OECD/PISA 2003 assessment framework and sample items - Mathematical, scientific, and problem solving literacy domain-. Korea Institute for Curriculum and Evaluation research report ORM 2004-25-1. 
  16. Lee, I. W. (2020). A study on characteristics of reading achievement of Korean students in PISA 2018 results. The Korean Language and Literature, 86, 123-156. 
  17. Rim, H. M. (2012). PISA 2012 computer-based problem solving assessment framework and published items. Studies in Mathematical Education, 2, 61-66. 
  18. Rim, H. M. (2013). The trends and what's new in the OECD PISA and its items. Journal of Research in Curriculum & Instruction, 17(4), 971-990.  https://doi.org/10.24231/RICI.2013.17.4.971
  19. Rim, H. M. (2016). International comparative analysis on East Asian top level countries' mathematics achievements in PISA 2012 results. Journal of the Korean School Mathematics Society, 19(4), 441-457. 
  20. Cho, S. M. (2020). Investigation of PISA 2022 mathematics framework and illustrative examples. Journal of the Korean School Mathematics Society, 23(3), 299-321. 
  21. Cho, S. M., & Koo, N. W. (2020). An analysis of characteristics of Korean students' mathematics achievement in comparison with the high-ranking countries in PISA 2015. Journal of Research in Curriculum & Instruction, 24(3), 262-272.  https://doi.org/10.24231/RICI.2020.24.3.262
  22. Cho, S. M., Koo, N. W., Kim, H. J., Lee, S. Y., & Lee, I. W. (2019). OECD Programme for international student assessment: establishing a foundation of PISA 2021 field trial. Korea Institute for Curriculum and Evaluation research report ORM 2019-120. 
  23. Cho, S. M., Kim, H. J., Lee, S. Y., Koo, N. W., & Lee, I. W. (2018). Programme for international student assessment(PISA 2018) main survey technical report. Korea Institute for Curriculum and Evaluation Research Report ORM 2018-87. 
  24. Cho, J. M., Dong, H. K., Ok, H. J., Rim, H. M., & Jung, H. K. (2012). Programme for international student assessment(PISA 2012) main survey technical report. Korea Institute for Curriculum and Evaluation research report RRE 2012-3-1. 
  25. Choi, S. H., Ro, K. H., & Park, K. M. (2001). PISA 2000 initial report: A mathematical literacy profile of Korean students. Korea Institute for Curriculum and Evaluation Research Report RRE 2001-9-3. 
  26. Choi, I. S., Kim, M. H., Kim. S. J., Kim, H. J., & Lee, S. Y. (2021a). Relation analysis of cognitive achievement and context variables about PISA 2018 top-performing countries. Korea Institute for Curriculum and Evaluation Research Report RRE 2021-4. 
  27. Choi, I. S., Kim, M. H., Kim. S. J., Kim, H. J., & Lee, S. Y. (2021b). Programme for international student assessment(PISA 2022) field test technical report. Korea Institute for Curriculum and Evaluation Research Material ORM 2021-126. 
  28. Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. D. Reidel Publishing Company.
  29. OECD (1999a). Measuring student knowledge and skills: A new framework for assessment. OECD Publishing. https://www.oecd.org/education/school/programmeforinternationalstudentassessmentpisa/33693997.pdf 
  30. OECD (1999b). The PISA 2000 assessment of reading, mathematical and scientific literacy. OECD Publishing. https://www.oecd.org/education/school/programmeforinternationalstudentassessmentpisa/33692793.pdf 
  31. OECD (2003). The PISA 2003 assessment framework - Mathematics, reading, science and problem solving knowledge and skills. OECD publishing. https://www.oecd.org/education/school/programmeforinternationalstudentassessmentpisa/33694881.pdf 
  32. OECD (2004). Learning for tomorrow's world - First results from PISA 2003. OECD Publishing. https://www.oecd.org/education/school/programmeforinternationalstudentassessmentpisa/34002216.pdf 
  33. OECD (2010). PISA 2009 results: Changes in student performance since 2000 (VolumeV). OECD Publishing. http://dx.doi.org/10.1787/9789264091580-en 
  34. OECD (2011). Lessons from PISA for the United States, strong performers and successful reformers in education. OECD Publishing. http://dx.doi.org/10.1787/9789264096660-en 
  35. OECD (2013). PISA 2012 assessment and analytical framework: Mathematics, reading, science, problem solving and financial literacy. OECD Publishing. http://dx.doi.org/10.1787/9789264190511-en 
  36. OECD (2018a). PISA 2022 integrated design. OECD Publishing. https://www.oecd.org/pisa/pisaproducts/PISA-2022-Integrated-Design.pdf 
  37. OECD (2018b). PISA 2022 mathematics framework (draft). OECD Publishing. https://www.oecd.org/pisa/sitedocument/PISA-2021-mathematics-framework.pdf 
  38. OECD (2019a). PISA 2018 assessment and analytical framework. OECD Publishing. https://doi.org/10.1787/b25efab8-en 
  39. OECD (2019b). PISA 2018 Results: What students know and can do (Vol. 1). OECD Publishing. https://www.oecd-ilibrary.org/docserver/5f07c754-en.pdf?expires=1666602989&id=id&accname=guest&checksum=89FAB0DE9544DDA2EF2963C5297F3AA0 
  40. OECD (2020). PISA 2022 technical standards. OECD Publishing. https://www.oecd.org/pisa/pisaproducts/PISA-2022-Technical-Standards.pdf 
  41. OECD (2023). PISA 2022 technical report. OECD Publishing. https://www.oecd.org/pisa/data/pisa2022technicalreport/
  42. Stacey, K., & Wiliam, D. (2012). Technology and assessment in mathematics. In M. Clements, A. Bishop, C. Keitel, J. Kilpatrick, & F. Leung (Eds.), Third international handbook of mathematics education (Vol. 27). New York, NY: Springer International Handbooks of Education, Springer, https://doi.org/10.1007/978-1-4614-4684-2_23 
  43. World Economic Forum [WEF] (2016). Annual report 2015-2016. https://www3.weforum.org/docs/WEF_Annual_Report_2015-2016.pdf 
  44. World Economic Forum [WEF] (2022). Annual report 2021-2022. https://www3.weforum.org/docs/WEF_Annual_Report_2021_22.pdf 
  45. Yamamoto, K., Shin, H. J., & Khorramdel, L. (2018). Multistage adaptive testing design in international large-scale assessments. Educational Measurement: Issues and Practice, 37(4), 16-27.