한국수학교육학회지시리즈C:초등수학교육 (Education of Primary School Mathematics)

  • 제23권4호
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  • Pages.175-189
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  • 2020
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  • 1226-6914(pISSN)
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  • 2287-9927(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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초등교사의 수학수업의 질, 수학 교수효능감, 학생의 수학흥미가 수학성취도에 미치는 영향 분석: 다층구조방정식의 적용

Exploring Effects of Elementary Teachers' Mathematics Instruction, Mathematics Teaching Efficacy, and Student Mathematical Interest on Mathematics Achievement : An Application of Multilevel Structural Equation Modeling

  • 투고 : 2020.09.08
  • 심사 : 2020.10.19
  • 발행 : 2020.10.31
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초록

본 연구의 목적은 초등교사의 수학수업의 질, 수학 교수효능감, 학생의 수학흥미와 수학성취도 사이의 구조적 관계를 살펴보는 것이다. 이를 위해 TIMSS 2015 한국자료를 다층구조방정식을 적용해 분석하였다. 분석 결과, 학생수준에서 학생이 평가한 수학수업의 질은 학생의 수학 흥미에 정적인 영향을 미치며 수학흥미는 수학성취도에 정적인 영향을 미치는 것으로 나타났다. 또한 수학수업의 질이 수학성취도에 미치는 직접효과는 통계적으로 유의미하지 않았으나 수학흥미의 매개를 통한 총효과는 유의미한 것으로 나타났다. 학교수준에서 평균적 수학수업의 질, 수학 교수효능감은 학생의 수학흥미에 정적인 영향을 미치는 것으로 드러났다. 그러나 수학수업의 질, 수학 교수효능감, 학생의 수학흥미가 학교의 평균적 수학성취도에 미치는 직접효과는 통계적으로 유의미하지 않았으며, 수학수업의 질과 수학 교수효능감이 수학흥미의 매개 효과를 통해 학생의 수학성취도에 미치는 총효과는 유의미한 것으로 나타났다. 이상의 결과를 바탕으로 교육적 시사점을 제시하였다.

The purpose of the present study was to investigate the structural relationships between elementary teachers' mathematics instruction, teachers' mathematics teaching efficacy, students' mathematical interest, and mathematics achievement. To achieve this goal, we used TIMSS 2015 Korean data and implemented multilevel structural equation modeling given that student data were nested within the school data. The findings reveled that at the student level, the instructional quality rated by students positively affected student mathematical interest. Additionally, student mathematical interest positively affected student mathematics achievement. Although the direct effect of instructional quality on student mathematics achievement was insignificant, the total was significant. At the school level, there were positive direct effects of instructional quality and teacher's mathematics teaching efficacy on student mathematical interest. The direct effects of instructional quality, teachers' mathematics teaching efficacy, and student mathematical interest on mathematics achievement were not significant. However, the total effects of instructional quality and teachers' mathematics teaching efficacy on mathematics achievement were significant. Based on the results, we discussed the implications of the study.

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참고문헌

  1. Kwon. S. I. (2017). Developing the criteria for elementary mathematics class: focused on introduction. Journal of Learner-Centered Curriculum and Instruction, 17(11), 757-773. https://doi.org/10.22251/jlcci.2017.17.11.757
  2. Kim, K. H., Lim, E. Y., & Shin, J. A. (2013). Analysis and prediction of students's affective domain based on the results of national assessment of educational achievement. Journal of Educational Evaluation, 26(5), 981-1014.
  3. Kim, S. H. & Pang, J. S. (2011). A survey of the use and conception of mathematical communication: Focused on teachers of the first and second graders. Education of Primary School Mathematics, 14(2), 147-164. https://doi.org/10.7468/jksmec.2011.14.2.147
  4. Kim, T. H. & Kim, J. H. (2010). Effects of math lessons based on constructivism ideas on learners' achievements -With focus on the area of fractions for 4th graders-. Education of Primary School Mathematics, 13(2), 67-84.
  5. Kim, H. M., Kim, Y. S., Han, S. Y. (2018). A longitudinal analysis on the relationships among mathematics academic achievement, affective factors, and shadow education participation. School Mathematics, 20(2), 287-306. https://doi.org/10.29275/sm.2018.06.20.2.287
  6. Son, T. K. & Lee, K. H. (2020). An analysis of gaze differences between pre-service teachers and experienced teachers on mathematics lesson plan. Education of Primary School Mathematics, 23(1), 1-26. https://doi.org/10.7468/JKSMEC.2020.23.1.1
  7. Lee. S. H., Yang, M. S., Han, S. Y., Heo, S. Y., Park, S. J. & Park, D. K. (2016). The effect of school-based teacher learning community on student’s academic achievement: Focusing on the innovation schools. Korean Journal of Educational Research, 54(2), 85-113.
  8. Lee, J. Y. & Hang, H. S. (2018). The effects of mathematical problem posing activities on 10th grade students’ mathematics achievement and affective characteristic of mathematics. Communications of Mathematical Education, 32(3), 385-406. https://doi.org/10.7468/JKSMEE.2018.32.3.385
  9. Lee, J. H. (2005). Development of an instructional analysis system and case studies of classroom activities for cultivating creativity: With the focus on the unit function of the level 7. The Journal of Curriculum Studies, 23(4), 253-285.
  10. Yi, H. S. & Song, M. Y. (2015). A multi-level SEM approach for the analysis of relationships between math-related educational context variables and math literacy of PISA 2012. Journal of Research in Curriculum Instruction, 19(1), 137-158. https://doi.org/10.24231/rici.2015.19.1.137
  11. Lee, H. J., Bong, C. W., Yoon, M. R., & Hong, S. H. (2018). Application of multilevel structural equation model to testing the effect of mathematics self-efficacy and educational environment on mathematical interest-Comparison of results between Korea and Singapore. Journal of Educational Evaluation, 31(1), 353-386.
  12. Lee, S. A, Lee, J. S. (2016). Affective factors as predictors of math achievement: Comparison of OECD high performing 10 countries in math. Journal of Educational Evaluation, 29(2), 357-382.
  13. Chang, J. Y., Park, I. W., & Kim, E. J. (2018). The effect of teaching method and homework feedback on students' class attitude, classroom atmosphere, class satisfaction, self-directed learning, and academic achievement. Teaching Education Research, 57(2), 246-259. https://doi.org/10.15812/ter.57.2.201806.246
  14. Cho, E. H. & Hwang, S. H. (2019). Exploring changes in multi-ethnic students’ mathematics achievement motivation: A longitudinal study using expectancy-value theory. The Mathematical Education, 58(1), 101-120. https://doi.org/10.7468/MATHEDU.2019.58.1.101
  15. Cho, H. I. (2015). Effects of teacher enthusiasm, academic optimism, and students' achievement goal orientation on academic achievement in elementary schools. The Journal of Elementary Education, 28(4), 293-317.
  16. Choi, J. S., Sang, K. A. (2019). The effects of educational context variables on achievement and interest in mathematics in high and low achieving students. Journal of the Korean School Mathematics Society, 22(2), 163-182. https://doi.org/10.30807/ksms.2019.22.2.004
  17. Han, K. H. (2005). The relationship between teacher, instruction variables and students - Achievement based on TIMSS-1999. The Mathematical Education, 44(3), 409-433.
  18. Heo, Y. W. & Kim, S. Y. (2013). The effects of students’ mathematics learning achievements on elementary school teachers’ self-efficiency in math. School Mathematics, 15(2), 337-352.
  19. Bagaka, J. G. (2011). The role of teacher characteristics and practices on upper secondary school students’ mathematics self-efficacy in Nyanza province of Kenya: A multilevel analysis. International Journal of Science and Mathematics Education, 9(4), 817-842. https://doi.org/10.1007/s10763-010-9226-3
  20. Bandura, A. (1997). Self-efficacy: The exercise of control. New York, NY: W. H. Freeman & Company.
  21. Bruce, C. D., & Ross, J. A. (2008). A model for increasing reform implementation and teacher efficacy: Teacher peer coaching in grades 3 and 6 mathematics. Canadian Journal of Education/Revue canadienne de l'education, 31, 346-370.
  22. Byrnes, J. P., & Wasik, B. A. (2009). Factors predictive of mathematics achievement in kindergarten, first and third grades: An opportunity-propensity analysis. Contemporary Educational Psychology, 34(2), 167-183. https://doi.org/10.1016/j.cedpsych.2009.01.002
  23. Carmichael, C., Callingham, R., & Watt, H. M. (2017). Classroom motivational environment influences on emotional and cognitive dimensions of student interest in mathematics. ZDM, 49(3), 449-460. https://doi.org/10.1007/s11858-016-0831-7
  24. Carpenter, T. P., & Lehrer, R. (1999). Teaching and learning with understanding. In E. Fennema & T. Romberg (Eds.), Mathematics classrooms that promote understanding (pp. 19-32). Mahwah, NJ: Erlbaum.
  25. De Jong, R., & Westerhof, K. J. (2001). The quality of student ratings of teacher behaviour. Learning Environments Research, 4(1), 51-85. https://doi.org/10.1023/A:1011402608575
  26. Enochs, L. G., Smith, P. L., & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100(4), 194-202. https://doi.org/10.1111/j.1949-8594.2000.tb17256.x
  27. Grammer, J. K., Coffman, J. L., Sidney, P., & Ornstein, P. A. (2016). Linking teacher instruction and student achievement in mathematics: The role of teacher language. Journal of Cognition and Development, 17(3), 468-485. https://doi.org/10.1080/15248372.2015.1068777
  28. Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2014). Multivariate data analysis: Pearson new international edition. Harlow, Essex: Pearson.
  29. Hu, L. T., & Bentler, P. M. (1999). Cuto criteria for t indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling: A Multidisciplinary Journal, 6(1), 1-55. https://doi.org/10.1080/10705519909540118
  30. Hwang, S. H. (2019). The relationship between students’ perception toward mathematics teachers’ instructional practices and attitude toward mathematics: A mediation role of self-efficacy beliefs. Journal of Elementary Mathematics Education in Korea, 23(4), 383-403.
  31. Krapp, A. (2007). An educational-psychological conceptualisation of interest. International Journal for Educational and Vocational Guidance, 7(1), 5-21 https://doi.org/10.1007/s10775-007-9113-9
  32. Lazarides, R., Buchholz, J., & Rubach, C. (2018). Teacher enthusiasm and self-efficacy, student-perceived mastery goal orientation, and student motivation in mathematics classrooms. Teaching and Teacher Education, 69, 1-10. https://doi.org/10.1016/j.tate.2017.08.017
  33. Lubienski, S. T., & Ganley, C. M. (2017). Research on gender and mathematics. In J. Cai (Ed.), Compendium for research in mathematics education (pp. 649-666). National Council of Teachers of Mathematics.
  34. Lynch, K., Chin, M., & Blazar, D. (2017). Relationships between observations of elementary mathematics instruction and student achievement: Exploring variability across districts. American Journal of Education, 123(4), 615-646. https://doi.org/10.1086/692662
  35. Mullis, I. V. S., Martin, M. O., Foy, P., & Hooper, M. (2016). TIMSS 2015 international results in mathematics. Boston College, TIMSS & PIRLS International Study Center.
  36. Munter, C. (2014). Developing visions of high-quality mathematics instruction. Journal for Research in Mathematics Education, 45(5), 584-635. https://doi.org/10.5951/jresematheduc.45.5.0584
  37. Pianta, R., La Paro, K., & Hamre, B. K. (2005). Classroom assessment scoring System (CLASS). Unpublished measure, University of Virginia, Charlottesville, VA.
  38. Ross, J., & Bruce, C. (2007). Professional development effects on teacher efficacy: Results of randomized field trial. The Journal of Educational Research, 101(1), 50-60. https://doi.org/10.3200/JOER.101.1.50-60
  39. Ryan, R. M., & Deci, E. L. (2000). Intrinsic and extrinsic motivations: Classic definitions and new directions. Contemporary educational psychology, 25(1), 54-67. https://doi.org/10.1006/ceps.1999.1020
  40. Smith, J. P. (1996). Efficacy and teaching mathematics by telling: A challenge for reform. Journal for Research in Mathematics Education, 27(4), 387-402. https://doi.org/10.2307/749874
  41. Toropova, A., Johansson, S., & Myrberg, E. (2019). The role of teacher characteristics for student achievement in mathematics and student perceptions of instructional quality. Education Inquiry, 10(4), 275-299. https://doi.org/10.1080/20004508.2019.1591844
  42. Tschannen-Moran, M., & Woolfolk Hoy, A. (2001). Teacher efficacy: Capturing an elusive construct. Teaching and Teacher Education, 17(7), 783-805. https://doi.org/10.1016/S0742-051X(01)00036-1
  43. Vandecandelaere, M., Speybroeck, S., Vanlaar, G., De Fraine, B., & Van Damme, J. (2012). Learning environment and students’ mathematics attitude. Studies in Educational Evaluation, 38(3), 107-120. https://doi.org/10.1016/j.stueduc.2012.09.001
  44. Yu, R., & Singh, K. (2018). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. The Journal of Educational Research, 111(1), 81-94. https://doi.org/10.1080/00220671.2016.1204260