DOI QR코드

DOI QR Code

Interpretation and application of information processing competency as mathematical competency: A case of middle school mathematics textbooks under the 2015 revised curriculum

수학과 교과역량으로서의 정보처리 능력의 해석과 적용: 2015 개정 중학교 수학 교과서를 중심으로

  • Received : 2020.10.26
  • Accepted : 2020.11.24
  • Published : 2020.11.30

Abstract

This study aims to examine how information processing competency as one of the mathematical competencies has been interpreted and applied in mathematics education by analyzing tasks in middle school mathematics textbooks under the 2015 revised national curriculum. Based on the sub-elements of information processing competency organized by Park et al.(2015), we analyzed 191 tasks in 30 different middle school mathematics textbooks using descriptive statistics and ANOVA. Also, we investigated the meaning of information processing competency embedded in the tasks by distinguishing the characteristics of several different types of tasks. The results from this study showed that the number of tasks related to information processing competency in mathematics textbooks was too small and there was a huge difference across the textbooks in terms of the sub-elements. Even though there were four sub-elements of information processing competency, 'the use of manipulative and technological tools' was extremely dominant in the tasks in general. Even many of them used technology and manipulatives superficially. Furthermore, any textbook did not provide tasks dealing with all the four sub-elements. Such an unbalanced and fragmented approach to information processing competency could produce biased knowledge and insufficient experiences for information processing competency. It calls for further investigation and discussion about how to improve information processing competency in school mathematics.

본 연구는 수학과 교과역량으로서의 정보처리 능력이 어떻게 해석, 적용되고 있는지 교과서 분석을 통해 탐구하였다. 중학교 1-3학년 10종 30권 교과서의 191개 과제를 정보처리 능력 하위요소에 따라 분석한 결과, 하위요소별, 교과서별로 차이가 컸으며 공통적으로 '공학적 도구 및 교구 활용'에 매우 치우쳐 있었다. 과제 유형별로도 해석과 적용 방법의 다양성이 발견되었다. 본 연구 결과를 바탕으로 정보처리 능력 함양을 위한 개선 방향과 시사점을 논의하였다.

Keywords

References

  1. Australian Curriculum, Assessment and Reporting Authority. (n.d.). Information and Communication Technology(ICT) capability. Retrieved September 25, 2020, from https://www.australiancurriculum.edu.au/f-10-curriculum/general-capabilities/information-and-communication-technology-ict-capability/
  2. B.C. Ministry of Education. (2013). Digital literacy. Retrieved September 25, 2020, from https://www2.gov.bc.ca/gov/content/education-training/k-12/teach/teaching-tools/digital-literacy
  3. Catts, R. & Lau, J. (2008). Towards information literacy indicators. Retrieved September 25, 2020, from https://unesdoc.unesco.org/ark:/48223/pf0000158723?posInSet=4&queryId=a3e7c09b-c961-4e42-9bf6-e7feafe83caa
  4. Chang, K. Y., Kang, H. Y., Kim, D. W., Ahn, J. M., Lee, D. H., Park, J. H., ..., Ku, N. Y. (2018). Mathematics 1. Seoul: Jihaksa.
  5. Chang, K. Y., Kang, H. Y., Kim, D. W., Ahn, J. M., Lee, D. H., Park, J. H., ..., Ku, N. Y. (2019). Mathematics 2. Seoul: Jihaksa.
  6. Chang, K. Y., Kang, H. Y., Kim, D. W., Ahn, J. M., Lee, D. H., Park, J. H., H, ..., Ku, N. Y. (2019). Mathematics 2 Teachers' guidebook. Seoul: Jihaksa.
  7. Cho, I. Y. & Kang, W. (2018). An analysis of achievement standards statements in the elementary mathematics curriculum of Korea. Journal of Elementary Mathematics Education in Korea, 22(11), 69-92.
  8. Choi, H. S. (2019). The analysis of mathematical tasks for developing the core competencies in high school mathematics textbook. Journal of the Korean school mathematics society. 22(2), 95-113. https://doi.org/10.30807/ksms.2019.22.2.001
  9. Han, H. J., Kim, Y. E., Lee, J. Y., Kim, G. H., & Whang, Y. J. (2017). Commentary on 2015 revised curriculum. Sejong: Ministry of Education.
  10. Hong, H. J., Kim, D. Y., Cho, H. J., Min, B. J., & Ha, H. J. (2016). A study on the connection of general principles and subjects of the 2015 revised curriculum: Focused on competencies and pan-disciplinary subjects. Sejong: Ministry of Education.
  11. Hong, W. P. (2017). Revising competency-based curriculum in Korea: Focused on theoretical and practical challenge. The Journal of Curriculum Studies 35(1), 239-254.
  12. Hwang, Y. H. & Kim, S. H. (2018). The recognition and needs of mathematics teachers for instruction and assessment to enhance mathematical competency. The Journal of Educational Research in Mathematics, 28(4), 651-669. https://doi.org/10.29275/jerm.2018.11.28.4.651
  13. Jones, K. & Fujita, T. (2013). Interpretations of national curricula: The case of geometry in textbooks from England and Japan. ZDM, 45(5), 671-683. https://doi.org/10.1007/s11858-013-0515-5
  14. Ju, M. K., Kang, E. J., Kang, S. Y., Kang, S. J., Kim, H. K., Oh, H. P., & Kwon, S. S. (2019). Mathematics 2. Seoul: Kumsung.
  15. Kim, H. K., Na, G. S., Lee, M. R., Lee, A. K., & Kwon, Y. K. (2019). Mathematics 2. Seoul: Sinsago.
  16. Kim, H. K., Na, G. S., Lee, M. R., Lee, A. K., & Kwon, Y. K. (2019). Mathematics 2 Teachers' guidebook. Seoul: Sinsago.
  17. Kim, J. W., Pang, J. S., & Hwang, J. N. (2020). An analysis of mathematics competencies in elementary mathematics textbooks for fifth and sixth grade. Journal of the Korean Society of Mathematics Education Series A: The Mathematical Education, 59(2). 147-166.
  18. Kim, R. Y. & Kim, E. H. (2020). Analyzing the meaning and elements of knowledge-information processing competency in 2015 revised curriculum. Journal of Research in Curriculum & Instruction, 24(5), 500-510. https://doi.org/10.24231/RICI.2020.24.5.500
  19. Kim, S. H., Kim, K. H., & Lee, S. Y. (2019). An analysis on the possibility of applying mathematical competences by mathematics content area focused on 1st grade math of middle school and high school. Journal of Research in Curriculum & Instruction, 23(4), 305-319. https://doi.org/10.24231/rici.2019.23.4.305
  20. Koh, H. K., Kim, Y. H., Kim, I. S., Lee, B. J., Han, J. C., Choi, S. Y., ..., & Choi, H. J. (2018). Mathematics 1. Seoul: Kyohaksa.
  21. Koh, H. K., Kim, Y. H., Kim, I. S., Lee, B. J., Han, J. C., Choi, S. Y., ..., & Choi, H. J. (2018). Mathematics 1 Teachers' guidebook. Seoul: Kyohaksa.
  22. Law, N., Woo, D., Torre, J., & Wong, G. (2018). A global framework of reference on digital literacy skills for indicator 4.4.2. Retrieved September 25, 2020, from https://unesdoc.unesco.org/ark:/48223/pf0000265403?posInSet=3&queryId=9b580097-cc6d-4d15-be54-c7a7c5734d56
  23. Lee, H. S. (2020). Analysis on the tasks for mathematical competencies: Focused on 8th grade mathematics textbooks according to 2015 revised curriculum. The Korea Contents Association, 20(6), 531-544.
  24. Lee, J. Y., Choi, B. R., Kim, D. J., Lee, J. R., Kim, S. M., Won, Y. M., ..., Kang, S. K. (2020). Mathematics 3. Seoul: Chunjae.
  25. Lee, J. Y., Choi, B. R., Kim, D. J., Lee, J. R., Kim, S. M., Won, Y. M., ..., Kang, S. K. (2020). Mathematics 3 Teachers' guidebook. Seoul: Chunjae.
  26. Lee, K. W., Beak, K. S., & Lee, S. J. (2017). Key competencies in the 2015 revised curriculum: The relationship with the idea of the educated person, educational goals, and subject competencies. The Journal of Curriculum Studies, 35(2), 67-94.
  27. Lee, K. H., Lee, K. W., Park, J., & Park, M. (2013). A study on reorganization of curriculum focused on core competencies (Report No. CRC-2013-17). Seoul: Korea Institute of Curriculum and Evaluation.
  28. Lee, K. W., Min, Y. S., Jeon, J. C., Kim, M. Y., & Kim, H. J. (2008). A study on the vision of elementary and secondary curriculum to promote future Koreans' core competencies(II) (Report No. RRC-2008-7-1). Seoul: Korea Institute of Curriculum and Evaluation.
  29. Lee, S. M., Lee, G. N., Shin, H. J., Bae, H. S., Park, J. H., Byun, H. H., ..., Park, S. K. (2019). Systemization of key competencies and skills in 2015 revised national subject curriculum (Report No. 11-1342000-000506-01). Seoul: Ministry of Education & Korea Institute for Curriculum and Evaluation.
  30. Lew, H. C., Sunwoo, H. S., Shin, B. M., Jeong, D. S., Jang, Y. H., Seol, J. S., & Park, S. H. (2020). Mathematics 3. Seoul: Chunjae Education.
  31. Lew, H. C., Sunwoo, H. S., Shin, B. M., Jeong, D. S., Jang, Y. H., Seol, J. S., & Park, S. H. (2020). Mathematics 3 Teachers' guidebook. Seoul: Chunjae Education.
  32. Lim, Y. N. & Jang, S. Y. (2016). An analysis on the relationship between key competencies and subjects of the 2015 revised national curriculum: Using semantic network analysis. Journal of Learner-Centered Curriculum and Instruction, 16(10), 749-771. https://doi.org/10.22251/jlcci.2016.16.10.749
  33. Ministry of Education. (2015). Mathematics curriculum. Ministry of Education Notice 2015-74 [supplement 8].
  34. Ministry of Education. (2018). 2015 revised national curriculum for middle school. Ministry of Education Notice 2018-162 [supplement 3].
  35. Ministry of Education. (2020). The consolidated national plan for mathematics education [attachment 2-2]. Retrieved September 10, 2020, from https://www.moe.go.kr/boardCnts/view.do?boardID=294&boardSeq=80718&lev=0&searchType=null&statusYN=W&page=1&s=moe&m=020402&opType=N
  36. Ministry of Education, Science and Technology. (2011). Mathematics curriculum. Ministry of Education, Science and Technology Notice 2011-361 [supplement 8].
  37. Organisation for Economic Co-operation and Development [OECD]. (2018). PISA 2022 mathematics framework (draft). Retrieved July 12, 2020, from https://www.oecd.org/pisa/sitedocument/PISA-2021-mathematics-framework.pdf
  38. Organisation for Economic Co-operation and Development [OECD]. (2019). PISA 2022 ICT framework. Retrieved July 12, 2020, from: https://www.oecd.org/pisa/sitedocument /PISA-2021-ICT-Framework.pdf
  39. Park, K. M., Lee, H. C., Park, S. H., Kwon, J. R., Yoon, S. H., Kang, H. Y., ..., Jeon, I. T. (2015). Study on development of mathematics curriculum according to 2015 revised curriculum II. Report No. BD15120005. Seoul: Ministry of Education & Korea Foundation for the Advancement of Science and Creativity.
  40. Reys, B. J., Reys, R. E., & Chavez, O. (2004). Why mathematics textbooks matter. Educational Leadership, 61(5), 61-66.
  41. Schmidt, W. H., McKnight, C. C., & Raizen, S. (1997). A splintered vision: An investigation of U. S. science and mathematics education. Dordrecht: Kluwer.
  42. UNESCO. (2013). Global media and information literacy assessment framework: Country readiness and competencies. Retrieved September 25, 2020, from https://unesdoc.unesco.org/ark:/48223/pf0000224655?posInSet=14&queryId=fa9cd70a-60d3-4a15-ad17-d2aa18c47863
  43. Usiskin, Z. (2013). Studying textbooks in an information age - a United States perspective, ZDM, 45, 713-723. https://doi.org/10.1007/s11858-013-0514-6
  44. Valverde, G. A., Bianchi, L. J., Wolfe, R. G., Schmidt, W. H., & Houang, R. T. (2002). According to the book: Using TIMSS to investigate the translation of policy into practice through the world of textbooks. Dordrecht: Kluwer Academic Publishers.
  45. Yoon, H. J., Kim, Y. J., Lee, K. W., & Jeon, J. C. (2007). A study on developing a key competence in the primary/secondary school curriculum for the future of Koreans (Report No. TTC-2007-1). Seoul: Korea Institute of Curriculum and Evaluation.
  46. Yoon, S. J., Lee, A. R., & Kwon, O. N. (2019). Analysis on the relationship between core competencies and mathematical competencies and the tasks for mathematical competencies: A case of high school 'Mathematics' textbooks according to 2015 revised mathematics curriculum. Journal of the Korean Society of Mathematics Education Series A: The Mathematical Education, 58(1), 55-77.