Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)

Korean Society of Mathematical Education (한국수학교육학회)
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A systematic review on on-line education in mathematics education: Focused on before and after COVID-19

수학 교육에서의 온라인 교육에 대한 체계적 문헌 고찰: COVID19 전후를 중심으로

  • Hwang, Seonyoung (Graduate School of Sungkyunkwan University) ;
  • Han, Sunyoung (Sungkyunkwan University) ;
  • Cho, Yoonjin (Graduate School of Sungkyunkwan University) ;
  • Jeong, Hyeajin (Ewha Womans Universtiy High School) ;
  • Lee, Jaemin (Graduate School of Sungkyunkwan University)
  • 황선영 (성균관대학교) ;
  • 한선영 (성균관대학교) ;
  • 조윤진 (성균관대학교) ;
  • 정혜진 (이화여자대학교사범대학부속이화금란고등학교) ;
  • 이재민 (성균관대학교)
  • Received : 2024.02.13
  • Accepted : 2024.04.18
  • Published : 2024.06.30
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Abstract

On-line education in mathematics education changed in various aspects before and after COVID-19. This study conducted a systematic literature review of 98 academic papers on on-line education published from 2017 to 2023 in the field of mathematics education before and after COVID19. In particular, this study conducted content analysis to organize on the definitions of various similar terms related to online education. In addition, this study explored research trends on year, research subject, research method, on-line education type, and research topic by the pre-COVID-19, COVID-19, and post-COVID-19 era. Also, a comparative analysis was conducted on literatures on the effects of online education. As a result, first, it was confirmed that there is a need to organize the definitions of terms similar to online education. Also, the implications of identifying the differences and hierarchies between each term can be found. Second, it was confirmed that teachers' expertise for on-line mathematics education was emphasized based on the result of the rapid increase in the number of on-line education studies on teachers since COVID-19. Third, it was confirmed that the number of studies on blended and flipped learning was high in pre-COVID-19, but decreased in the COVID-19 era. Instead, in the COVID-19 era, studies on real-time interactive classes were rapidly active, and even in the post-COVID-19 era, studies on real-time interactive classes still occupied a large proportion. Finally, it was confirmed that the effectiveness of on-line education varies depending on the research background and model. Accordingly, the need to be cautious in interpreting the results of each study on the effectiveness of on-line education was confirmed. Based on these findings, this study presented implications for future research on on-line education in mathematics education.

수학 교육에서의 온라인 교육은 COVID19를 전후로 다양한 측면에서 변화하였다. 본 연구는 COVID19를 전후로 2017년부터 2023년까지 발간된 수학 교육 분야에서의 온라인 교육에 관한 98편의 논문을 대상으로 체계적 문헌 고찰을 수행하였다. 본 연구는 먼저 문헌에 나타난 온라인 교육과 관련된 여러 유사 용어들의 정의들을 대상으로 내용 분석을 진행하였다. 이후, 코로나 전, 코로나, 포스트 코로나 시대 별로 온라인 수학 교육의 연구 동향을 탐색하였으며, 온라인 교육의 효과에 대한 문헌들에 대해서는 추가적인 비교 분석을 진행하였다. 그 결과, 첫째, 온라인 교육과 유사한 용어들의 정의와 각 용어들 간의 차이점 및 위계를 정리할 필요성을 확인하였고 이에 대한 논의를 제시하였다. 둘째, 코로나를 계기로 교사에 대한 온라인 교육의 연구가 급격히 활발해졌으며 교사의 전문성이 강조되고 있음을 확인하였다. 셋째, 코로나 전에는 블렌디드와 플립트 러닝에 대한 연구가 많았지만 코로나 시대와 포스트 코로나 시대에는 실시간 쌍방향 수업에 대한 연구가 많은 비중을 차지하고 있었다. 마지막으로, 온라인 교육이 학업성취도에 미치는 영향은 문헌 별로 연구 배경과 모델에 따라 다양하게 나타났으며, 이에 따른 해석에는 주의가 필요함을 확인하였다. 본 논문은 이와 같은 연구 결과를 토대로 앞으로 수학 교육에서의 온라인 교육에 관한 연구 방향을 제시하였다.

Keywords

References

  1. Kang, S. K., Kim, S. C., Kim, S. J., Kim, U. E., Kim, U. Y., Do, J. W., Lee, Y. H., Lee, E. J., Jang, H. S., Jeong, J. W., Jo, M. J., Hwang, J. S., & Hwang, J. W. (2020). Diagnosis and challenges of the national level remote education system in response to COVID-19. Korea Educational Development Institute. 
  2. Kang, H. & Choi, E. (2023). Study on pre-service teachers' development of digital-based teaching and learning materials of Pi. Education of Primary School Mathematics, 26(1), 65-82.
  3. Ko, Y. J. & Choi, K. U. (2022). Instructional activities and academic achievement: Mediation effects of class satisfaction with different online course delivery methods. The Korean Journal of Educational Methodology Studies, 34(2), 315-341. 
  4. Ministry of Education, Science and Technology (2011). Smart education promotion strategy. 
  5. Ministry of Education (2020). Preparation of operating standards for systematic remote classes. Retrieved from https://www.moe.go.kr/boardCnts/view.do?boardID=294&boardSeq=80131&lev=0&m=02 
  6. Kwon, M. & Yeo, S. (2022). Beyond adaptation: Transforming pedagogies of teaching elementary mathematics methods course in the online environment. The Mathematical Education, 61(4), 521-537. 
  7. Kwon, J. R., Kim, M. H., Lee, S. H., Yoo, G. B., Choi, J. S., Kang, H. S., & Shin, S. K. (2020). Exploration of the actual status and improvement direction of remote classes in elementary, middle, and high schools according to the online opening of COVID-19 response (Research Report RRC 2020-2). Korea Institute for Curriculum and Evaluation. 
  8. Kim, K. S. & Min, M. K. (2020). Analysis of the results of online education for elementary gifted students in the covid 19 environment. Korean Journal of Elementary Education, 31(4), 407-419. 
  9. Kim, K. K., Shim, J., & Lim, H. (2022). Changes in math achievement among high school students in the wake of COVID-19: The current state and influencing factors. Journal of Curriculum Evaluation, 25(4), 63-88. 
  10. Kim, K, R. & Jeong, Y. S. (2022). Effect of online mentoring on the self-directed learning skills, emotional stability and learning effect. Journal of The Korean Association of Information Education, 26(4), 239-249. 
  11. Kim, K, R. & Jeong, Y. S. (2023). A study on the direction of distance learning in the post-pandemic era. Journal of Educational Science, 54(2), 1-19. 
  12. Kim, D. R. (2018). Study on flipped learning and flipped PBL effectiveness of college general mathematics. Korea Convergence Society, 9(6), 209-215. 
  13. Kim, B. & Kim, H. (2020). The effects of on-line instruction combined with dynamic assessment on mathematics achievement of elementary 4rd grade normal-achieving students and underachieving students. The Journal of Elementary Education, 33(4), 55-82.
  14. Kim, B. (2017). Development and application of mobile-based math learning application. School Mathematics, 19(3), 593-615. 
  15. Kim, S. H., Cho, S., Song, C. G., & Lee, K. H. (2021). Restructuring guidelines for teaching, learning, and evaluation in the national mathematics curriculum. School Mathematics, 23(3), 335-360. 
  16. Kim, S., Kang, H., & Park, Y. J. (2021). An effects of smart learning math class on academic achievement, mathematical interest, and attitude. The Journal of the Convergence on Culture Technology, 7(2), 217-226. 
  17. Kim, S., Kang, H., Choi, S. A., & Lee, G. H. (2022). The effects of blocked and interleaved learning through hybrid learning on academic achievement and academic satisfaction in e-learning. The Journal of Private Tutoring Research, 2(1), 23-42. 
  18. Kim, S. H. (2021). In the digital big data classroom reality and application of smart education: Learner-centered education using edutech, Journal of the Korea Entertainment Industry Association, 15(4), 279-286. 
  19. Kim, S. Y, Park, J. E., Seo, H. J., Seo, H. S., Son, H. J., Shin, C. M., Lee, Y. J., Jang, B. H., & Heo, D. S. (2011). NECA's guidance for undertaking systemcatic reviews and meta-analyses for intervention. NECA. 
  20. Kim, S. C. (2014). Utilization plan of primary 3-4 grade mathematics textbooks for "Flipped Classroom." Education of Primary School Mathematics, 17(3), 265-276. 
  21. Kim, S. C. (2017). A case study of flipped learning in a classroom of logic & essay writing on mathematics. Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology, 7(12), 345-359. 
  22. Kim, A, N. (2021). Analysis of learner behavior and learning performance using LMS big data in the COVID-19: Focused on J-University. Journal of Learner-Centered Curriculum and Instruction, 21(6), 565-579. 
  23. Kim, J. K., Kim, K. D., & Lee, S. S. (2021). Integrative literature review on the issues and solutions of online courses at universities in the era of COVID-19. Korean Society for Holistic Convergence Education, 25(4), 253-280. 
  24. Kim, J. (2022). Action research on early childhood mathematics education based on blended learning. The Journal of Korea Open Association for Early Childhood Education, 27(1), 1-32. 
  25. Kim J. & Ryu, J. (2020). Analysis of differences of learning styles preference in online learning for underprivileged gifted students, Korean Association for Learner-Centered Curriculum and Instruction, 20(12), 481-497. 
  26. Kim, H. (2020). Distance education and the task of educational technology. Journal of Educational Technology, 36(3), 619-643. 
  27. Kim, H., Xi, X., & Park, C. (2023). Narrative inquiry of distance learning in practicum of secondary pre-service mathematics teachers. Journal of Learner-Centered Curriculum and Instruction, 23(9), 189-207. 
  28. Kim, H. K. (2021). A case study on the satisfaction of mathematics online class and its relationship with mathematical learning in Corona-19. Communications of Mathematical Education, 35(3), 341-358. 
  29. Ma, M. Y. & Lim, D. G. (2021). Middle school students' understanding of graphs in real-time interactive instruction. Journal of Education & Culture, 27(2), 311-330. 
  30. Park, M., Kim, J. Y., Kim, M., Yoon, J. C., & Lee, J. M. (2022). A case study for class improvement through online math class analysis and self-evaluation: Focusing on fair access, autonomy, initiative, and evaluation areas in the TRU analysis, The Mathematical Education, 61(1), 83-108. 
  31. Park, M., Lim, H., Kim, J., Lee, K., & Kim, M. (2020). The effects on the personalized learning platform with machine learning recommendation modules: Focused on learning time, self-directed learning ability, attitudes toward mathematics, and mathematics achievement, The Mathematical Education, 59(4), 373-387. 
  32. Park, Y. J., Lee, K. H., & Lee, H. S. (2022). A comparative study on academic achievement and class satisfaction of college general mathematics according to face-to-face classes and remote classes. The Korea contents Association, 22(1), 324-336. 
  33. Park, H. Y., Son, B. E., & Ko, H. K. (2022). Study on the mathematics teaching and learning artificial intelligence platform analysis. Communications of Mathematical Education, 36(1), 1-21. 
  34. Ministry of Trade Industry and Energy (2004). E-learningIndustry development act. Retrieved from http://law.go.kr/lsInfoP.do?lsiSeq=61843#000
  35. Suh, B. E. (2021). Analysis of the results between on-line and face-to-face classes in 'Calculus' & 'Mathematical education theory'. Journal of Science Education, 45(2), 257-273. 
  36. Seo, S. S. (2020). A study on way ot promote learners' participation in real-time distance education. Journal of Creative Information Culture, 6(3), 149-158. 
  37. Song. D, G. & Lee, B. J. (2017). The comparison on the learning effect of low-achievers in mathematics using Blended e-learning and Personalized system of instruction. The Korea Society of Mathematical Education, 56(2), 161-175. 
  38. Shin, D. (2020). Artificial intelligence in primary and secondary education: A systematic review. The Journal of Educational Research in Mathematics, 30(3), 531-552. 
  39. Shin, J. H. & Song, H. S. (2022). A study on a teaching & learning method for basic and general education in the post-corona. Korean Journal of General Education, 16(1), 117-130. 
  40. Sim, H. (2017). The effect of mentor feedback on self-regulated learning, self-directed learning, and academic achievement in an online learning environment. The Korea Association of Yeolin Education, 25(1), 169-189. 
  41. Ahn, D. & Lee, K. H. (2022). Analysis of achievement predictive factors and predictive AI model development - Focused on blended math classes. The Mathematical Education, 61(2), 257-271. 
  42. Ahn, H. S. & Kim, H. J. (2014). An introduction to systematic review. Journal of the Korean Medical Association, 57(1), 49-59. 
  43. Oh, Y. Y. (2023). Problems and directions of mathematics education in the post-COVID-19 era. Journal of Learner-Centered Curriculum and Instruction, 23(16), 773-787. 
  44. Lee, G. & Kwon, S. (2016). A study on successful factors of smart learning startups. Journal of the Korean Entrepreneurship Socieity, 11(1), 74-96. 
  45. Lee, K. Y. (2023). Development of web-based teacher training program for early mathematics education with the ARCS model. The Journal of Korea Open Association for Early Childhood Education, 27(2), 205-231. 
  46. Lee, D. G. & Ahn, S. J. (2021). A case study on the development of real-time interactive class data among non-face-to-face remote class types. Communications of Mathematical Education, 35(2), 173-191. 
  47. Lee, S. Y. (2021). Online learning case analysis for concept-based mathematics class: focused on secondary school. Journal of Learner-Centered Curriculum and Instruction, 21(18), 469-489. 
  48. Lee, Y. H., Hwang, Y. J., Yun, J. H., Yoon, J. H., & Hwang, I. A. (2022). Development of basic mathematical ability test for university and application effect of extra-curricular program. The Journal of General Education. 20, 87-119. 
  49. Lee, E. K. & Oh, M. (2022). Does COVID-19 pandemic bring the changes in academic achievement of middle and high school students?. Journal of Learner-Centered Curriculum and Instruction, 22(4), 531-545. 
  50. Lee, E. J. & Jeong, Y. S. (2019). Analysis of the effect of sincere learning attitudes on academic achievement in on-line education. Journal of The Korean Association of Information Education, 23(5), 481-489. 
  51. Lee, J. K. (2023). Class on mathematics as liberal arts education : Its design and implementation. The Journal of General Education, 22, 237-272. 
  52. Lee, J. Y. & Yi, J. K. (2005). Conceptualizing e-learning. Andragogy Today: Interdisciplinary Journal of Adult & Continuing Education, 8(3), 1-31. 
  53. Lee, J. Y., Park, G. D., & Cho, M. S. (2022). Exploring the relationship between bias and user satisfaction in recommendation systems: A systematic literature review. Journal of Digital Contents Society, 23(9), 1823-1832. 
  54. Ee, J. H. & Huh, N. (2018). A study on the relationship between artificial intelligence and change in mathematics education. Communications of Mathematical Education, 32(1), 23-36. 
  55. Ee, J. H. & Huh, N. (2019). An analysis of needs for composition of math learning program using web or application. East Asian Mathematical Journal, 35(2), 199-216. 
  56. Yang, H. G. & Lee, G, S. (2004). Understanding of e-learning, Korea Education and Research Information Service. 
  57. Lim, C. I. (2001). The development and effects of a web-based self-regulated learning support system. Journal of Educational Technology, 17(3), 53-83.
  58. Jang, I, C., Kim, H., & Choi, L. J. (2022). Exploring educational disparities in Busan's middle schools during COVID-19: A structural equation modeling analysis. The Journal of Korean Education, 49(1), 5-33. 
  59. Jun, H. J. & Lee, K. H. (2022). Analysis of the elements of synchronous online learning in mathematics classroom discourse: based on the lens of authority. The Journal of Educational Research in Mathematics, 32(4), 489-513. 
  60. Jeong, S. M. & Song, K. S. (2007). Development of dialogue-based feedback system to improve flow learning in e-learning environment. The Korea Contents Association, 7(2), 150-160. 
  61. Jung, S. & An, Y. E. (2021). A study on the current situation of the achievement gap in schools before and after COVID-19: Focusing on the distribution of academic achievement grades of middle schools in Seoul. Korean Journal of Sociology of Education, 31(2), 53-74. 
  62. Jung, H. Y. & Seo, H. S. (2021). Analyzing how 9th grade students participate in the online mathematics lessons. School Mathematics, 23(3), 433-456. 
  63. Cho, M. K. & Kim, S. (2022). An analysis of elementary school teachers' educational needs on designing interactions for online mathematics lessons. Education of Primary School Mathematics, 25(1), 19-41. 
  64. Cho, E. H. & Kim, D. K. (2023). A study on the development of a mastery learning model of online mathematics. The Korea contents Association, 23(7), 362-373. 
  65. Choi, D. & Heo, H. J. (2021). Error analysis on factorization and the effect of online individualization classes. Journal of the Korean School Mathematics, 24(1), 83-105. 
  66. Choi, B. & Yoo, S. (2013). Investigation of H model blended e-learning technique in enhanced effectiveness of class learning. The Journal of Korean Association of Computer Education, 16(3), 49-60. 
  67. Choi, B. H. & Yoon, H. C. (2017). A study of instruction of internet(ioi)-based collaborative learning method in elementary school sixth grade mathematics class. Journal of Science Education, 41(2), 248-266. 
  68. Choi, J. I. & Choi, J. S. (2012). The effects of learning plans and time management strategies on college students' self-regulated learning and academic achievement in e-learning. Journal of Educational Science, 43(4), 221-244. 
  69. Korea Education and research Information Service (2004). A trend of international education information. 
  70. Han, C. (2021). A comparative analysis of teacher noticing in online and offline classes: Focusing on access to and interaction with mathematical thinking. Teacher Education Research, 60(3), 421-438. 
  71. Heo, N. G. (2022). Development and application of blended classes to cultivate a preservice mathematics teacher's information processing competency. Journal of Learner-Centered Curriculum and Instruction, 22(6), 335-350. 
  72. Ho, W. (2019). Case study analysis for blended learning with peer review, quiz, and geogebra activities. Journal of the Society of e-Learning, 4(1), 19-25. 
  73. Hong, Y. Y. & Im, Y. W. (2021). A study on the efficiency of online classes-focused on various teaching methods in college. Journal of Digital Convergence, 19(10), 63-73. 
  74. Hong, Y. Y. & Im, Y. W. (2019). A study on the educational methodology for improving pre-service teachers' competence of designing STEAM classes. Journal of Digital Convergence, 17(8), 71-80. 
  75. Hwang, K. D. (2023). The metaverse education platform with the characteristics of a game using an electronic blackboard. Korean Society For Computer Game, 36(2), 23-31. 
  76. Hwang, I. & Kim, I. (2022). A comparative analysis of mathematics achievement for face-to-face classes pre COVID-19 and online classes post COVID-19 : For first-year engineering students. The Journal of Yeolin Education, 30(4), 215-239. 
  77. Hwang, H., Park, J., & Kim S. (2023). Aﾠ study on the research trend of a.i. literacy in domestic and international academia: Based on a systematic literature review. Journal of Education & Culture, 29(3), 135-164.
  78. Aromataris, E., & Pearson, A. (2014). The systematic review: an overview. AJN The American Journal of Nursing, 114(3), 53-58.
  79. Hall, D. (1997). Computer mediated communication in post-compulsory teacher education. Open Learning: The Journal of Open, Distance and e-Learning, 12(3), 54-57.
  80. Jung, J. Y. (2014). The development of a blended PBL learning model in a smart educational environment. The Journal of Thinking Development, 10(1), 145-162.
  81. Kang, I., Lim, B., & Park, J. (2012). Exploring the theoretical framework and teaching & learning strategies of Smart Learning: Using cases of university classrooms. The Korean Journal of Educational Methodology Studies, 24(2), 283-303.
  82. Khan, B. H. (2001). A framework for e-learning. LTI magazine.
  83. Lee, S. S., & Lee, Y. N. (2007). Development of blended instructional model for creative problem solving. Journal of Educational Technology, 23(2), 135-159.
  84. Leem, J. H., Kim, M. H., & Lee, S. H. (2021). Development of an online instructional design model for higher education in the era with COVID-19. Journal of Educational Technology, 27(1), 281-311.
  85. Malopinsky, L., Kirkley, J., Stein, R., & Duffy, T. (2000, October 26). An instructional design model for online problem based learning (PBL) environments: The learning to teach with technology studio [Paper presentation]. The Association for Educational Communications and Technology Conference (AECT), Denver, Colorado, USA.
  86. Mantyla, K. (2001). Blended learning: The power is in the mix. American Society for Training & Development.
  87. Moore, J. L., Dickson-Deane, C., & Galyen, K. (2011). e-Learning, online learning, and distance learning environments: Are they the same? The Internet and Higher Education, 14(2), 129-135.
  88. National Institute of Korean Language (2021). Standard Korean dictionary. from https://stdict.korean.go.kr/main/main.do
  89. Okoli, C. & Schabram, K. (2015). A guide to conducting a systematic literature review of information systems research.. Available at http://dx.doi.org/10.2139/ssrn.1954824
  90. Phipps, R. A. & Merisotis, J. P. (1999). What's the difference? A review of contemporary research on the effectiveness of distance learning in higher education. The Institute for Higher Education Policy.
  91. Schank, R. C. (2002). Designing world-class e-learning. McGraw-Hill.
  92. Smith, P. J. (2001). 'Modern' learning methods: rhetoric and reality. Personnel Review, 31(1), 103-113.
  93. Tsai, S. & Machado, P. (2002). E-learning basics: Essay: E-learning, online learning, web-based learning, or distance learning: Unveiling the ambiguity in current terminology. eLearn, 2002(7), 3.
  94. Valverde-Berrocoso, J., Garrido-Arroyo, M. d. C., Burgos-Videla, C., & Morales-Cevallos, M. B. (2020). Trends in educational research about e-learning: A systematic literature review (2009~2018). Sustainability, 12(12), 5153.
  95. Xiao, Y. & Watson, M. (2019). Guidance on conducting a systematic literature review. Journal of Planning Education and Research, 39(1), 93-112.