한국수학교육학회지시리즈E:수학교육논문집 (Communications of Mathematical Education)

  • 제37권4호
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  • Pages.615-633
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  • 2023
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  • 1226-6663(pISSN)
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  • 2287-9935(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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빈도 분석 및 토픽모델링을 활용한 수학 교과에서 기초학력 관련 연구 동향 분석

An Analysis of Research Trends on Basic Academic Abilities in Mathematics with Frequency Analysis and Topic Modeling

  • 투고 : 2023.11.27
  • 심사 : 2023.12.28
  • 발행 : 2023.12.31
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초록

본 연구는 수학 교과에서 기초학력 및 학습부진에 관련한 연구가 나아갈 방향을 제안하고자 2023년 8월까지의 국내 연구 동향을 분석하였다. 이를 위해 국내 연구 197편의 국문 초록을 자료로 수집하여 빈도 분석 및 LDA 기반 토픽모델링을 실시하였다. 연구결과, 첫째, TF 및 TF-IDF 기준으로 '학업성취', '영향', '효과', '변인'은 모두 상위권에 위치하였다. 둘째, LDA 기반 토픽모델링을 실시한 결과, 기초학력 미달 발생 원인, 수학 학습부진학생의 학습 실태, 수학 학습부진학생 지도 교사의 전문성, 수학 학습부진학생 지원 프로그램, 국가수준 학업성취도 평가 결과로 5개 토픽이 도출되었다. 이러한 결과를 바탕으로 향후 수학 교과의 기초학력 및 학습부진에 관한 연구가 나아가야 할 방향으로 학습부진학생의 성장에 초점을 둔 연구, 수학 교과에서 학습지원을 필요로 하는 학생에게 제공하는 프로그램을 체계화하는 연구, 수학 교과에서 학습지원대상학생을 지도하기 위한 교사의 전문성 신장에 관한 연구 등을 제안하였다.

This study analyzed Korean studies up to August 2023 to suggest the direction of future research on basic academic abilities in mathematics. For this purpose, frequency analysis and LDA-based topic modeling were conducted on the Korean abstracts of 197 domestic studies. The results showed that, first, 'academic achievement', 'impact', 'effect', and 'factors' were all ranked at the top of the TFs and TF-IDFs. Second, as a result of LDA-based topic modeling, five topics were identified: causes of basic academic abilities deficiency, learning status of math underachievers, teacher expertise in teaching math underachievers, supporting programs for math underachievers, and results of National Assessment of Educational Achievement. As a direction for future research, this study suggests focusing on the growth of math underachievers, systematizing the programs provided to students who need learning support in mathematics, and developing teacher expertise in teaching math underachievers.

키워드

참고문헌

  1. Kang, C. D. (2010). A sociological study for the concept of scholastic ability. Korean Journal of Sociology of Education, 10(1), 1-24.
  2. Ko, S. S. (2012). Mathematical errors of minority students from North Korean - defectors and low-SES in learning of mathematical basic concepts. Journal of Educational Research in Mathematics, 22(2), 203-227.
  3. Ministry of Education, Science and Technology (2012). Announcement of the "Plan to Advance Mathematics Education". Retrieved from https://www.moe.go.kr/boardCnts/viewRenew.do?boardID=294&lev=0&statusYN=C&s=moe&m=020402&opType=N&boardSeq=30123
  4. Ministry of Education (2015). The second comprehensive plan for mathematics education (2015-2019). etrieved from https://www.moe.go.kr/boardCnts/viewRenew.do?boardID=294&lev=0&statusYN=C&s=moe&m=020402&opType=N&boardSeq=58701
  5. Ministry of Education (2019). Alternatives to internalization for basic education support. Retrieved from https://www.moe.go.kr/boardCnts/viewRenew.do?boardID=294&lev=0&statusYN=W&s=moe&m=020402&opType=N&boardSeq=77172
  6. Ministry of Education (2020). A comprehensive plan for mathematics education that grows together and lead the future with thinking power. Retrieved from https://www.moe.go.kr/boardCnts/viewRenew.do?boardID=294&lev=0&statusYN=W&s=moe&m=020402&opType=N&boardSeq=80718
  7. Ministry of Education (2022). The first comprehensive plan for basic education guarantee (2015-2019). Retrieved from https://www.moe.go.kr/boardCnts/viewRenew.do?boardID=294&lev=0&statusYN=W&s=moe&m=020402&opType=N&boardSeq=92782
  8. Ministry of Education (2023). Implementation of the National Assessment of Educational Achievement in 2023. Retrieved from https://www.moe.go.kr/boardCnts/viewRenew.do?boardID=294&lev=0&statusYN=W&s=moe&m=020402&opType=N&boardSeq=96366
  9. Ku, H. Y., & Park, H. S. (2011). The effects of the journal writing using the math fairy tales on the academic achievement and learning attitude in mathematics of elementary math underachievers. The Journal of Special Children Education, 13(1), 243-263. https://doi.org/10.21075/KACSN.2011.13.1.243
  10. Kwon, J. R., Byun, H. H., & Kim, S. K. (2022). Exploring the impact of COVID-19 on math education for middle and high school students and the way to improve math education: Focus on the results of the National Assessment of Educational Achievement. KICE.
  11. Kwean, H. J., Kim, M. K., & Lee, E. Y. (2006). Math clinic for the learning disabilities. Journal of the Korean School Mathematics Society, 9(1), 19-40.
  12. Enforcement Decree of the Basic Education Guarantee Act (2022). Retrieved from https://www.law.go.kr/법령/기초학력보장법
  13. Kucu (2020). http://www.basics.re.kr.
  14. Kim, N. Y., & Jeon, H. J. (2021). The effect of middle school students' achievement of below basic proficiency level on class attitudes. Studies on Korean Youth, 32(3), 97-128. https://doi.org/10.14816/sky.2021.32.3.97
  15. Kim, S. K. (2018). Analysis of high school students' learning characteristic appeared in the 2016 National Assessment of Educational Achievement The Journal of Curriculum and Evaluation, 21(4), 151-176. https://doi.org/10.29221/jce.2018.21.4.151
  16. Kim, Y. W. (2021). Do it! R text mining made easy. Easypublishing.
  17. Kim, Y. R., Bae, H. S., & Shin, H. J. (2021). An international case study supporting basic proficiency: Focusing on Ireland and Canada. Korean Journal of Comparative Education, 31(1), 1-30. https://doi.org/10.20306/kces.2021.31.1.1
  18. Kim, J. H., & Oh, Y. (2010). An analysis of the effects of teaching mathematics underachievers by the principles of cognitively guided instruction. Journal of Elementary Mathematics Education in Korea, 14(3), 789-806.
  19. Kim, T. E., Yang, J. S., Noh, W. K., Lee, S. M., Oh, T. G., & Lee, H. J. (2019). A study on the establishment of the concept of basic academic ability in the age of the fourth industrial revolution. KICE.
  20. Kim, T. E., Oh, S., Park, T., Woo, Y. K., Kwon, S. K., Kim, Y., & Seo, D. (2017). Investigating the process of underachiever's growth in elementary and secondary school settings: a longitudinal case study. KICE.
  21. Kim, P. S., & Cho, J. Y. (2004). An analysis of the understanding and learning state of underachieved students in mathematics. Research Works, 6, 67-90.
  22. Kim, H. W., & Jhun, Y. S. (2021). Analysis of trends in science gifted education using topic modeling. Journal of Korean Elementary Science Education, 40(3), 283-294. https://doi.org/10.15267/KESES.2021.40.3.283
  23. Kim, H. K. (2020). Meta analysis on the improvement of academic performance by the teaching method for underachievers of learning mathematics. The Mathematical Education, 59(1), 31-45. https://doi.org/10.7468/MATHEDU.2020.59.1.31
  24. Kim, H. K., & Ko, H. K. (2018). A case study on math clinical counseling based on connection with class. Communications of Mathematical Education, 32(2), 113-129. https://doi.org/10.7468/JKSMEE.2018.32.2.113
  25. Munkbayaraa, T., Lee, G. W., Jang, S. H., & Chung, J. Y. (2022). A study on factors in school activities affecting the ratio of low performing students in middle schools. Journal of Learner-Centered Curriculum and Instruction, 22(19), 81-95.
  26. Park, A. R., & Kim, A. H. (2010). The effects of schema-based representation strategy in multiplication and division for students with mathematical difficulties. The Korea Journal of Learning Disabilities, 7(3), 105-122.
  27. Park, J. G., & Oh, Y. Y. (2013). A trend analysis on mathematics underachievers in the elementary school. Journal of Elementary Mathematics Education in Korea, 17(2), 265-283.
  28. Park, J., Jung, S. H., Park, H., & Lim, K. Y. (2022). An analysis of research trends on personalized learning : Using TF-IDF, LDA based text mining. The Korean Journal of Educational Methodology Studies, 34(4), 711-739.
  29. Baek, Y. M. (2020). Text mining with R. Hanwul Academy.
  30. Seoul Education Research & Information Institute (2022). The legal framework for promoting basic education in the United States: Focusing on ESSA. (2022.09.).
  31. Son, T. K., Ahn, D. Y., Yoo, S. Y., & Lee, K. H. (2021). An analysis of research trends of domestic mathematics struggling learners using topic modeling. Brain, Digital, & Learning, 11(1), 1-13.
  32. Shin, D. J. (2020). A comparative study of domestic and international research trends of mathematics education through topic modeling. The Mathematical Education, 59(1), 63-80. https://doi.org/10.7468/MATHEDU.2020.59.1.63
  33. Shim, S. K., & Choi, J. Y. (2008). A case study on error of underachievers in mathematics in function learning. Communications of Mathematical Education, 22(3), 275-288.
  34. Yeo, S. S. (2022). Developing a framework of replication studies for evidence-based practices. The Journal of Developmental Disabilities, 26(3), 401-427. https://doi.org/10.34262/kadd.2022.26.3.427
  35. Oh, Y. Y. (2007). Implications of after-school learning programs by preservice elementary teachers for teaching students with mathematics learning disabilities. Journal of Learner-Centered Curriculum and Instruction, 7(1), 257-275.
  36. Yoo, H. J., & Kim, A. H. (2021). Effects of CSA strategic teaching utilizing visual model on academic accomplishments in multiplication of elementary school students who have low acievement in mathematics. Journal of Learner-Centered Curriculum and Instruction, 21(10), 399-415. https://doi.org/10.22251/jlcci.2021.21.10.399
  37. Yoon, K. S. & Kim, A. H. (2021). Effects of the schema-based problem-solving strategy instruction with the C-S-A sequence on the ratio and rate(percentage) mathematical word-problem solving achievement of students with mathematical learning difficulties. Journal of Learner-Centered Curriculum and Instruction, 21(2), 583-611.
  38. Lee, K. N. (2021). The role and task of Korean language education in discourse on basic academic ability. Journal of Elementary Korean Education, 72(72), 135-154.
  39. Lee, K. N. (2022). Basic education guarantee policies and implications in Canada, the United Kingdom, and Finland. KEDI.
  40. Lee, K. S. (2019). Analysis of high school students' mathematics learning characteristic appeared in the 2010-2014 National Assessment of Educational Achievement The Journal of Curriculum and Evaluation, 22(4), 57-84. https://doi.org/10.29221/jce.2019.22.4.57
  41. Lee, K. S., & Cho, Y. D. (2014). The characteristics of middle school mathematics achievement levels based on the results of the National Assessment of Educational Achievement from 2010 to 2012. School Mathematics, 16(2), 237-257.
  42. Lee, D. S. (2015). The characteristics and future direction of government-funded programs for enhancing basic academic abilities of low achieving students. The Korea Journal of Learning Disabilities, 12(3), 101-132.
  43. Lee, J. M., Lee, S. M., & Nam, S. K. (2008). The factors that related to the academic underachievement of elementary school upper-level students in math education. The Korean Journal of School Psychology, 5(3), 305-323. https://doi.org/10.16983/KJSP.2008.5.3.305
  44. Rim, H. M. (2018). Analysis on middle school third graders' understanding of math curriculum achievement standard from the results of National Assessment of Educational Achievement. The Journal of Curriculum and Evaluation, 21(1), 219-241. https://doi.org/10.29221/jce.2018.21.1.219
  45. Lim, H. J., & Choi, Y. J. (2023). An analysis of factors on low academic achievement in mathematics in middle school years. Journal of Learner-Centered Curriculum and Instruction, 23(3), 765-781.
  46. Jung, C. N., & Min, C. S. (2008). The effect of blended learning on math achievement of children with learning disabilities. Journal of Elementary Education, 24(1), 155-169.
  47. Cho, M. K. (2022). A study on the pre-service elementary teachers' lesson plans for math underachievers with hypothetical learning trajectories and universal design for learning. Communications of Mathematical Education, 36(2), 287-311. https://doi.org/10.7468/JKSMEE.2022.36.2.287
  48. Cho, S. S., Kim, J. B., Park, J. B., Kim, B. N., & Song, H. H. (2018). A study on defining the concept of scholastic ability according to the 2015 revised curriculum. Ministry of Education.
  49. Cho, S. M., Ku, N. W., Kim, H. J., Lee, S. Y., & Lee, I. H. (2019). OECD programme for international students assessment: An analysis of PISA 2018 results. KICE.
  50. Cho, S. M., Choi, S. H., & Ryu, H. A. (2012). A study on development of personalized learning materials for underachievers in elementary mathematics. Education of Primary School Mathematics, 15(2), 135-145. https://doi.org/10.7468/JKSMEC.2012.15.2.135
  51. Cho, S. H., Nam, G. C., Ryu, H. A. (2013). Development of instruction materials for underachieving students to correction of misconception. Journal of Educational Research in Mathematics, 23(2), 117-133.
  52. KICE (2022). Supporting personalized in-class instruction and exploring collaborative instructional models for basic skills equity (KICE POSITION PAPER, 14(2).
  53. Huh, N., & Yang, S. H. (2018). The characteristic analysis of content areas and behavioral areas based on the deviation of NAEA achievement level-based correct-answer rate. Communications of Mathematical Education, 32(3), 435-453. https://doi.org/10.7468/JKSMEE.2018.32.3.435
  54. Aizawa, A. (2003). An information-theoretic perspective of tf-idf measures. Information Processing & Management, 39(1), 45-65. https://doi.org/10.1016/S0306-4573(02)00021-3
  55. Blei, D. M., Ng, A. Y., & Jordan, M. I. (2003). Latent dirichlet allocation. Journal of Machine Learning Research, 3(Jan), 993-1022.
  56. Chen, X., Zou, D., Cheng, G., & Xie, H. (2020). Detecting latent topics and trends in educational technologies over four decades using structural topic modeling: A retrospective of all volumes of Computers & Education. Computers & Education, 151, 103855.
  57. Griffiths, T. L., & Steyvers, M. (2004). Finding scientific topics. Proceedings of the National Academy of Sciences, 101(suppl1), 5228-5235. https://doi.org/10.1073/pnas.0307752101
  58. Hwang, S. H., & Cho, E. H. (2021). Exploring latent topics and research trends in mathematics teachers' knowledge using topic modeling: A systemic review. Mathematics, 9(22), 2956.
  59. OECD(2018). The future of education and skills: Education 2030. Position Paper.
  60. Tan, A. H. (1999). Text mining: The state of the art and the challenges. Proceedings of the pakdd 1999 workshop on knowledge discovery from advanced databases, 8, 65-70.