The Mathematical Education (한국수학교육학회지시리즈A:수학교육)

Korean Society of Mathematical Education (한국수학교육학회)
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Detecting types for the influence of math teaching methods perceived by high school students on math self-efficacy: Using REBUS-PLS

고등학생이 지각한 수학 수업방식이 수학자기효능감에 미치는 영향력에 대한 유형탐색: REBUS-PLS를 적용하여

  • Received : 2022.10.07
  • Accepted : 2022.11.08
  • Published : 2022.11.30
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Abstract

This study explored the heterogeneous latent group on the influence of the learner's perceived math teaching method(instructor-centered, learner-centered) on math self-efficacy. In order to profile the characteristics of the detected latent group, the distribution of variables was confirmed, and multi-group analysis was conducted by SEM. According to the analysis results, two latent groups were detected, and the instructor-type group and the learner-type group were named. As a result of post-hoc analysis, the perception of instructor-centered classes and learner-centered classes, and the perception of math teaching ability were similar between the instructor-type and the learner-type group. But the instructor-type group had higher math self-efficacy, math interest, and math class engagement than the learner-type group. Also, in the instructor-type group, the effect of perception of math teaching ability on math self-efficacy and math class engagement was greater than that of the learner-type group. Whereas, in the learner-type group, the effect of math interest on math self-efficacy and math class engagement was greater than that of the instructor-type group. This study presented a new research method on the influence of math teaching methods on learners by applying the REBUS-PLS method.

본 연구는 「경기교육종단연구(GEPS)」의 2019년 고등학교 2학년 자료를 이용하여 학습자가 지각한 수학 수업방식(교수자중심, 학습자중심)이 수학자기효능감에 미치는 영향력에 대한 이질적 잠재집단을 탐색하였다. 탐지된 잠재집단의 특징을 프로파일링하기 위해 교수·학습 관련 변인들의 분포를 확인하고, 구조방정식모형을 설정하여 다집단 분석을 실시하였다. 분석결과, 두 개의 잠재집단이 탐지되었으며, 그 특성에 따라 교수자형 집단과 학습자형 집단으로 명명하였다. 탐지된 교수자형과 학습자형 집단에서 교수자중심수업에 대한 지각과 학습자중심수업에 대한 지각, 그리고 수학교수능력에 대한 인식은 분포가 유사하였지만, 수학자기효능감과 수학흥미, 수학수업참여의 경우 교수자형 집단이 학습자형에 비해 높게 나타났다. 또한 교수자형 집단은 학습자형에 비해 수학교수능력에 대한 인식이 수학자기효능감과 수학수업참여에 미치는 영향이 크게 나타났으며, 학습자형 집단은 교수자형에 비해 수학흥미가 수학자기효능감과 수학수업참여에 미치는 영향이 크게 나타났다. 본 연구는 경로모형기반의 단위 분할 탐색 REBUS-PLS 방법을 적용함으로써 수학 수업방식이 학습자에게 미치는 영향력에 관한 새로운 연구방법을 제시하였다.

Keywords

References

  1. Bandura, A. (1997). Self-efficacy: The exercise of control. W.H. Freeman and Company.
  2. Cha, M. J., Kim, C. M., Kwon, H. J., Cho, H. D., Lee, J. Y., ..., Park, I. W. (2010). A development of learner participation scale in instruction. The Korean Journal of Educational Methodology Studies, 22(1), 195-219. https://doi.org/10.17927/tkjems.2010.22.1.195
  3. Cha, S. J., & Kim, J. H. (2021). The Effects of Leaner-Centered Mathematical Instructions on Students' Reasoning Ability and Achievement. Education of Primary School Mathematics, 24(1), 43-69. https://doi.org/10.7468/jksmec.2021.24.1.43
  4. Chen, F. F. (2007). Sensitivity of goodness of fit indexes to lack of measurement invariance. Structural equation modeling: a multidisciplinary journal, 14(3), 464-504. https://doi.org/10.1080/10705510701301834
  5. Cheong, M. J., Kim, H. K., & Moon. Y. H. (2015). The relationship between Teaching Methods accepted by learners and Academic Achievement Factors on Academic Achievement. Korean Journal of Youth Studies, 22(7), 129-150.
  6. Cheung, G. W., & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural equation modeling, 9(2), 233-255. https://doi.org/10.1207/S15328007SEM0902_5
  7. Choi, K. H., & Han, H. S. (2013). A study on the effects of the reciprocal peer tutoring in high school students' affective characteristics of mathematics. The Mathematical Education, 52(3), 423-442. https://doi.org/10.7468/MATHEDU.2013.52.3.423
  8. Chung, Y. K., Lee, S. Y., Song, J. Y., & Woo, Y. K. (2017). Differential relations of students' perceived instructions to their motivation, classroom attitude, and academic achievement: The moderating role of self-efficacy. The Korean Journal of Educational Methodology Studies, 29(1), 211-235. https://doi.org/10.17927/tkjems.2017.29.1.211
  9. Esposito Vinzi. V., Trinchera, L., & Amato, S. (2010). PLS path modeling: from foundations to recent developments and open issues for model assessment and improvement. Handbook of partial least squares, 47-82.
  10. Esposito Vinzi, V., Trinchera, L., Squillacciotti, S., & Tenenhaus, M. (2008). REBUS-PLS: A response-based procedure for detecting unit segments in PLS path modelling. Applied Stochastic Models in Business and Industry, 24(5), 439-458. https://doi.org/10.1002/asmb.728
  11. Fredricks, J. A., & Blumenfeld, P. C., & Paris, A. H. (2004). School engagement: Potential of the concept, state of the evidence. Review of Educational Research, 74(1), 59-109. https://doi.org/10.3102/00346543074001059
  12. Hackett, G., & Betz, N. E. (1989). An exploration of the mathematics self-efficacy/mathematics performance correspondence. Journal for research in Mathematics Education, 20(3), 261-273. https://doi.org/10.2307/749515
  13. Hahn, C., Johnson, M. D., Herrmann, A., & Huber, F. (2002). Capturing customer heterogeneity using a finite mixture PLS approach. Schmalenbach Business Review, 54, 243-269. https://doi.org/10.1007/bf03396655
  14. Hong S. H., Jo, K. H., Son, S. K., Kim, H. J., Yoon, M. R., Kang, Y. K., & Lee H. J. (2018). Latent mean analysis of adolescent's resilience and Mediating effects of resilience in the relationship between parental and teacher attachment and depression: a multiple group analysis by gender. Journal of Future Oriented Youth Society, 15(3), 23-46. http://doi.org/10.34244/fy.2018.15.3.23
  15. Jang, J. H. (2019). Analysis of teachers' instructional ability and method type recognized by students and influence factor [Doctoral dissertation, Korea University].
  16. Jang, J. H., & Ko, Y. J. (2020). Perception and Characteristics of Teachers and Students on Teaching Methods: A Latent Profile Analysis. The Korean Journal of Educational Methodology Studies, 32(4), 575-605.
  17. Jedidi, K., Jagpal, H. S., & DeSarbo, W. S. (1997). Finite-mixture structural equation models for response-based segmentation and unobserved heterogeneity. Marketing Science,16(1), 39-59. https://doi.org/10.1287/mksc.16.1.39
  18. Jung, H. S., & Song, H. N. (2020). Detecting Types for the Influence of Mathematics Interest and Mathematical Perception on Mathematics Achievement in Middle School Students: Using REBUS-PLS. Journal of Korea Society Educational Studies in Mathematics School Mathematics, 22(4), 853-868. https://doi.org/10.29275/sm.2020.12.22.4.853
  19. Kheel, H. S. (2001). A philosophical Perspective on the Learner-Centered Curriculum and Instruction. Journal of Learner-Centered Curriculum and Instruction, 1, 1-27
  20. Kim, D. S., & Lee, S. W. (2019). The relationship analysis among subject specific interests, self-regulated learning, learning flow and self-efficacy: focused on middle school English education. Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology, 9(3), 51-59. http://doi.org/10.35873/ajmahs.2019.9.3.006
  21. Kim, H. S., & Yu, S. B. (2018). The Effect of Teacher' Teaching and Assessing Method on Academic Achievement for Elementary School Students. Journal of Fisheries and Marine Sciences Education, 30(5), 1703-1713. https://doi.org/10.13000/JFMSE.2018.10.30.5.1703
  22. Kim, J. H. (2011). Structural equation model analyzing relationships of perceived instructional ability, self-efficacy, practical intelligence, achievement-goal orientation, learning strategy, and academic achievement for fourth, fifth and sixth graders of primary schools. The Journal of Elementary Education, 24(4), 71-95.
  23. Kim, J. Y., Choi, B. M., & Park, M. H. (2018). A Basic Analysis Report for the 6th Year of the Gyeonggi Education Panel Study. Gyeonggi Institute of Education.
  24. Kim, J. Y., Jang, J. H., & Park, I. W. (2017). A Study on the Effects of the Teachers Characteristics Recognized by Students on Student's Attitude, Self-directed Learning and Academic Achievement. secondary education research, 65(4), 731-758. http://doi.org/10.25152/ser.2017.65.4.731
  25. Kim, N. O., Park, M, A., Lee, B. N., & Sohn, W. S. (2018). The role of Teacher Characteristics and Feedback in Developing Elementary students' Affective and Cognitive Achievement. The Journal of Curriculum and Evaluation, 21(2), 129-151. https://doi.org/10.22799/jce.2018.21.2.006
  26. Korea Foundation for the Advancement of Science and Creativity. (2016). 2015 STEAM Education Survey and Effectiveness Study Results Report. https://askmath.kofac.re.kr/
  27. Kwon, N. W. (2001). Characteristic and Theory of Learner-centered Education. Journal of Learner-Centered Curriculum and Instruction, 1(1), 29-40.
  28. Lee, J. H., & Ha, J. Y. (2016). Effects of Academic Self-efficacy, Learning Motivation, and Learning Strategy on Academic Achievement: Comparison of Instructor-centered Instruction and Learner-centered Instruction. The Journal of Learner-Centered Curriculum and Instruction, 16(5), 259-278.
  29. Lee, J. R. (2009). The Effects of Ability Grouping and Perceived Class Characteristics upon Academic Achievement. The Korean Journal of Human Development, 16(2), 51-65.
  30. Lim, H. J., & Lee, J. E. (2016). The Longitudinal Changes of Students' Perception on Teachers' Teaching Ability, Self-efficacy, and Academic Achievement. Korean Journal of Youth Studies, 23(6), 71-95. http://dx.doi.org/10.21509/KJYS.2016.06.23.6.71
  31. Ministry of Education. (2015). Mathematics curriculum. Proclamation of the Ministry of Education #2015-74
  32. Park, J. H., Kang, Y. G., & Han, S. Y. (2019). The Development and Application of the Instrument for Measuring Korean High School Students' Interests in Mathematics Learning. Journal of Korea Society Educational Studies in Mathematics School Mathematics, 21(2), 319-346. https://doi.org/10.29275/sm.2019.06.21.2.319
  33. Roh, Mi. Y., & Moon, H. S. (2018). Exploring the Positive and Negative Psychological Function of Teacher-Centered Lectures and StudentCentered Team Project Activities Perceived by Students of Physical Education. The Korean Journal of Physical Education, 57(3), 135-146. https://dx.doi.org/10.23949/kjpe.2018.05.57.3.11
  34. Seo, K. H. (2004). The perspectives and conceptions about good instructional practice: An interview study of teachers and students. The Journal of Curriculum Studies, 22(4), 165-187.
  35. So, Y. H. (2011). Analysis of the structural relations between Learners' perception on instruction, self-directed Learning, Learning flow, and academic achievement. The Korean Journal of Child Education, 20(2), 19-32.
  36. Song, H. S., & Jung, H. S. (2021). Effects of learner-centered mathematical instruction perceived by middle school students on math self-efficacy and class engagement: Multi-group analysis based on achievement level. The Mathematical Education, 60(4), 493-508. http://doi.org/10.7468/mathedu.2021.60.4.493
  37. Song, H. S., & Jung, H. S. (2022). A study on longitudinal relationship with academic stress, math self-efficacy, and math class engagement: Using auto regressive cross-lagged model. The Mathematical Education, 61(2), 359-373. https://doi.org/10.7468/mathedu.2022.61.2.359
  38. Song, J. E., & Park, M. R. (2020). The Effects of Self-Efficacy, Class Engagement, and Teaching Methods on English Academic Achievement. Journal of Learner-Centered Curriculum and Instruction, 20(15), 351-371. http://dx.doi.org/10.22251/jlcci.2020.20.15.351
  39. Trinchera, L. (2007). Unobserved heterogeneity in structural equation models: A new approach in latent class detection in PLS path modelling [Doctoral dissertation, Department of Mathematics and Statistics, University of Naples, Italy].
  40. Yu, J. H. (2015). The Relationships Among Parents-, Teacher-, Student-Related Variables and Student Engagement in Middle and High School. Korean Journal of Educational Research, 53(3), 1-30.
  41. Yu, S. B., & Kim, N. O. (2020). The Structural Relationship of Learner-centered Instruction, Feedback Experience, Affective Achievement, and Mathematical Competencies by Middle Schoolers. Journal of Educational Evaluation, 33(4), 791-814. http://dx.doi.org/10.31158/JEEV.2020.33.4.791