The Mathematical Education (한국수학교육학회지시리즈A:수학교육)

Korean Society of Mathematical Education (한국수학교육학회)
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The effects of peer tutoring on the mathematics learning achievements and affective domain by meta-analysis

메타분석을 통한 또래교수 수업이 수학 학업성취도와 정의적 영역에 미치는 효과

  • Received : 2020.10.15
  • Accepted : 2020.11.06
  • Published : 2021.02.28
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Abstract

The purpose of this study is to synthesize a comprehensive and general conclusion about the effects of mathematics classes using peer tutoring on the cognitive (mathematics learning achievement) and affective domains. For this purpose, a total of 61 individual studies were meta-analyzed in this study to calculate the effect size, measuring the strength of the relationship between mathematics classes using peer tutoring and either the cognitive or affective domain. As a result of this study, it was confirmed that mathematics classes using peer tutoring generally have a medium effect size in both cognitive and affective domains. Also, it was found that level of school, type of student, learning location, class time, tutor education or prior training are significant variables that affect the impact of mathematics classes using peer tutoring on the cognitive and affective domains. These results suggest specific ideas on how to design and operate peer tutoring in school mathematics classes on the basis of different variables.

본 연구의 목적은 또래교수를 활용한 수학 수업이 학생의 인지적·정의적 영역에 미치는 효과를 종합하는 데 있다. 이에 총 61편의 개별연구 결과를 메타분석하여, 또래교수가 학생의 수학 학업성취도와 정의적 영역에 미치는 효과크기를 산출하였다. 연구 결과, 또래교수를 활용한 수학 수업의 인지적·정의적 교육효과가 전반적으로 중간 효과크기를 가짐을 확인하였다. 또한, 또래교수를 활용한 수학 수업이 학생의 인지적·정의적 영역에 미치는 효과에서 학교 급, 학생 유형, 학습 장소, 수업 시간, 또래교수자 훈련 또는 사전교육 실시 유·무를 중요한 변수로 발견하였다. 이러한 결과는 학교 수학 수업에서 또래교수의 설계와 운영에 대한 다양한 변인들을 바탕으로 구체적 아이디어를 제안할 수 있다.

Keywords

References

  1. Ahn, S. H. (2009). Effects of learning using peer tutoring on the self-directed learning ability and school achievement in mathematics classes. Master's thesis. Chungbuk National University, Chungbuk.
  2. Allen, V. L. (Ed.). (1976). Children as Teachers: theory and research on tutoring. NY: Academic Press.
  3. Allsopp, D. H. (1997). Using classwide peer tutoring to teach beginning algebra problem-solving skills in heterogeneous classrooms. Remedial and Special Education, 18(6), 367-379. https://doi.org/10.1177/074193259701800606
  4. Baek, J. E. & Kwean, H. J. (2007). The impact of peer tutoring teaching method in various kinds of groups on high school students' learning achievement and learning attitude in mathematics. Journal of the Korean School Mathematics Society, 10(4), 487-504.
  5. Bea, J. H. (1997). Development and application of CAI programs for low achievers of the first grade children in elementary school. Master's thesis. Korea National University of Education, Chungbuk.
  6. Bea, K. J. & Park, M. G. (2016). An analysis on the peer mentoring effects on students' mathematical character and mathematics achievements in mathematics lessons. Education of Primary School Mathematics, 19(4), 261-276. https://doi.org/10.7468/jksmec.2016.19.4.261
  7. Bierman, K. L. & Furman, W. (1981). Effects of role and assignment rationale on attitudes formed during peer tutoring. Journal of Educational Psychology, 73(1), 33-40. https://doi.org/10.1037/0022-0663.73.1.33
  8. Borenstein, M., Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2009). Introduction to meta-analysis. West Sussex, UK: John Wiley & Sons.
  9. Card, N. A. (2012). Applied Meta-Analysis for Social Science Research. New York: Guilford Press.
  10. Cha, J. H., Choi, S. H., & Kim, D. J. (2015). Effects of a peer tutoring method on mathematical problem solving and class satisfaction. Journal of the Korean School Mathematics Society, 18(2), 203-221.
  11. Cha, Y. H. (2012). Effects of the peer tutoring utilizing Q&A notes on academic achievements and learning attitudes in highschool mathematics. Master's thesis. Yonsei University, Seoul.
  12. Cho, C. Y. (1999). The effect on mathematical scholastic achievement and learning attitude by cooperative learning based upon peer tutoring. Master's thesis. Inha University, Incheon.
  13. Cho, J. D. (2008). The effects of cross-age peer tutoring on the operation abilities of children with math learning underachievement. Master's thesis. Gwangju National University of Education, Gwangju.
  14. Choi, B. H. (1994). The effects of peer tutoring on self-esttem and learning attitude. Master's thesis. Korea National University of Education, Chungbuk.
  15. Choi, C. H. (2014). The effect of peer tutoring on mathematical anxiety and academic achievement. Master's thesis. Kangwon National University, Chuncheon.
  16. Choi, J. K. (2010). The importance of assessment accommodations in the evidence-based special education practices. The Korea Journal of Learning Disabilities, 7(2), 211-239.
  17. Choi, J. Y. (2008). Integrated analysis on the effects of various types of peer tutoring. Master's thesis. Kyunghee University, Seoul.
  18. 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
  19. Choi, S. (2004). The effect of peer tutoring on low-achiever's academic achievement and learning attitude. Master's thesis. Jeonbuk National University, Jeonbuk.
  20. Choi, S. H., Ha, J. M., & Kim, D. J. (2016a). An analysis of student engagement strategy and questioning strategy in a peer mentoring teaching method. Journal of the Korean School Mathematics Society, 19(2), 153-176.
  21. Choi, S. H., Ha, J. M., & Kim, D. J. (2016b). A communicational approach to mathematical process appeared in a peer mentoring teaching method. Communications of Mathematical Education, 30(3), 375-392. https://doi.org/10.7468/jksmee.2016.30.3.375
  22. Choi, Y. J. (2015). Action research of peer tutoring for children's academic achievement and social skill. Master's thesis. Gwangju National University of Education, Gwangju.
  23. Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, New Jersey: Lawrence Erlbaum Associates.
  24. Cooper, H. (2017). Research synthesis and meta-analysis: a step-by-step approach (5th ed.). LA: SAGE.
  25. Do, S. D. (2002). The effects of the group patterns of peer tutoring on the academic achievement and learning attitude. Master's thesis. Busan National University of Education, Busan.
  26. Eom, J. Y. (2013). The impact of peer tutoring teaching method on the middle school student's learning attitude and meta-cognition of peer tutors. Master's thesis. Dongguk University, Seoul.
  27. Fantuzzo, J. W., King, J. A., & Heller, L. R. (1992). Effects of reciprocal peer tutoring on mathematics and school adjustment: a component analysis. Journal of Educational Psychology, 84(3), 331-339. https://doi.org/10.1037/0022-0663.84.3.331
  28. Gaustad, J. (1993). Peer and cross-age tutoring. ERIC Digest, Number 79. ERIC Document Reproduction Service No. ED 354 608.
  29. Global Futures Studies Association & Korea Education and Research Information Service (2017). Future education report of Korea in the 4th industrial revolution. Paju: Kwangmoonkag.
  30. Goodlad, S. & Hirst, B. (1989). Peer Tutoring: a guide to learning by teaching. London: Kogan Page; NY: Nichols Pub.
  31. Ha, J. S. & Park, J. H. (2010). The effect of peer mentoring on four rules of arithmetics ability and learning attitude of children with mathematics disabilities of elementary school. Korean Journal of Elementary Education, 21(2), 93-109. https://doi.org/10.20972/kjee.21.2.201010.93
  32. Han, J. E. (2005). The effects of peer tutoring in relays on operation ability and attitude of underachieres in mathematics. Master's thesis. Daegu University, Deagu.
  33. Harrison, G. V. (1969). The effects of trained and untrained tutors on the criterion performance of disadvantaged first graders. ERIC Document Reproduction Service No. ED 031 499.
  34. Higgins, J. & Green, S. (Eds.). (2011). Cochrane handbook for systematic reviews of interventions version 5.1.0. The Cochrane Collaboration. Retrieved from https://training.cochrane.org/handbook.
  35. Hong, S. D. & Yeo, S. S. (2011). A theoretical review about concepts and research-validation of evidence-based practice. The Journal of Special Children Education, 13(1), 169-191. https://doi.org/10.21075/KACSN.2011.13.1.169
  36. Hwang, S. D. (2014). Easy to understand meta-analysis. Seoul: Hakjisa.
  37. Hwang, S. D. (2015). Meta-analysis using R. Seoul: Hakjisa.
  38. Jang, H. J. (2015). The effects of peer mentoring on the academic achievement and mathematical attitude of students with underachievement. Master's thesis. Korea University, Seoul.
  39. Jeon, S. S. (2014). The best way to study. Seoul: Gyeonghyang BP.
  40. Jeong, B. K. (2006). The effects of reciprocal peer tutoring on mathematical achievement in low-level student of 10th grade of the general high school. Master's thesis. Korea National University of Education, Chungbuk.
  41. Jeong, H. I. (2010). Effects of teaching using peer tutoring on mathematics achievement and affective domains. Master's thesis. Gongju National University, Chungnam.
  42. Jeong, K. W. (2007). The effect of peer tutoring on mathematical achievement. Master's thesis. Korea National University of Education, Chungbuk.
  43. Jo, C. H. (2019). A meta-analysis of the effects of peer tutoring on the mathematics learning achievements and affective domain. Master's thesis. Korea University, Seoul.
  44. Jung, M. J. & Kwon, S. Y. (2011). A study on the effects on the peer tutoring on mathematical inclination and mathematical communication ability of peer tutoring. School Mathematics, 13(1), 127-153.
  45. Jung, S. Y. (2014). Effects of the question-generating strategy in reciprocal peer tutoring on mathematics achievement and attitude. Master's thesis. University of Seoul, Seoul.
  46. Kang, J. N. (2008). A study of reciprocal peer tutoring in the leveled class of mathematics in middle school. Master's thesis. Ewha Womans University, Seoul.
  47. Kang, S. H. (2010). A study on the problem-solving and affective area effect of the peer tutoring. Master's thesis. Kyunghee University, Seoul.
  48. Kim, D. J., Kim, W., Ahn, B. J., Ryu, J. S., Lee, D. H., Choi, K. H., ..., Whang, W. H. (2017). A communicational approach to teaching method. Seoul: Kyowoosa.
  49. Kim, G. H. (2015). A case study on grouping in peer tutoring discourse. Journal of the Korean School Mathematics Society, 18(3), 281-309.
  50. Kim, H. H. (2012). Impact of 'learning mathematics using peer mentoring' on scholastic achievement and attitude. Master's thesis. Kangwon National University, Chuncheon.
  51. Kim, H. J. (2013). The influence of structured peer tutoring on mathematics study achievement and mathematical confidence of under achievers at mathematics. Master's thesis. Gyeongin National University of Education, Incheon.
  52. Kim, J. B. (2015). The effect of reciprocal peer tutoring on improving math achievement and learning attitude in math classes. Master's thesis. Soongsil University, Seoul.
  53. Kim, M. H. (2010). Effect of a small group study on instructional method on student's mathematical academic achievement and attitude. Master's thesis. Kookmin University, Seoul.
  54. Kim, M. K. & Park, Y. J. (2015). A systematic review on the trends and effects of peer interaction-based interventions for students with disabilities in elementary school. The Journal of Elementary Education, 28(3), 21-43.
  55. Kim, S. J. (2013). An effect of reciprocal peer tutoring on math academic achievement and mathematical attitude: based on basic-level class for instruction at variable curriculum classroom by achievement level in high school. Master's thesis. Korea National University of Education, Chungbuk.
  56. Lee, C. H. & Kim, S. H. (2002). Investigation of present state for teaching mathematical communication. School Mathematics, 4(1), 63-78.
  57. Lee, H. J. & Ko, H. K. (2015). The effect of cooperative learning and peer tutoring program on cognitive domain and affective domain: a meta-analysis. Journal of Educational Research in Mathematics, 25(1), 113-137.
  58. Lee, J. H. (2014). The effect of reciprocal peer tutoring on high school students' affective characteristics and achievement in mathematics. Master's thesis. Dankook University, Seoul.
  59. Lee, N. B. (2016). A meta analysis study of disaster victims' post-traumatic stress response related variables based on ecological theory. Doctoral dissertation. Ewha Womans University, Seoul.
  60. Lee, S. G. & Park, S. H. (2011). Effects of classwide peer tutoring on the students' mathematics learning attitudes and achievement at an inclusive elementary class. The Journal of Elementary Education, 24(3), 297-324.
  61. Lee, S. Y. (2003). The effect of peer tutoring for mathematics learning achievement and attitude. Master's thesis. Busan National University of Education, Busan.
  62. Lee, Y. K. (2013). The effects of small group cooperative learning and peer mentoring learning on academic achievement and self-efficacy in mathematics. Master's thesis. Sogang University, Seoul.
  63. Littell, J. H., Corcoran, J., & Pillai, V. (2008). Systematic reviews and meta-analysis. NY: Oxford University Press.
  64. Ministry of Education (2015a). The 2nd comprehensive plan for mathematical education. Press Release (2015.3.16.). Sejong: Ministry of Education.
  65. Ministry of Education (2015b). General introduction of 2015 revised curriculum. Sejong: Ministry of Education.
  66. NCTM (2000). Principles and standards for school mathematics. VA: NCTM.
  67. Oh, S. S. (2002). Theory and practice of meta-analysis for integration and re-analysis of preceding study. Seoul: Konkuk University Press.
  68. Park, H. H. (2007). The effect of reciprocal peer tutoring to mathematical achievement and self-efficacy in the underachiever class of the middle school. Master's thesis. Ewha Womans University, Seoul.
  69. Park, J. N. (2016). An analysis of research trends on the peer tutoring. Master's thesis. Jeonnam Naional University, Jeonnam.
  70. Park, J. S. (2009). The effect of reciprocal peer tutoring on the academic achievement and learning attitude of low achiever. Master's thesis. Mokpo National University, Jeonnam.
  71. Park, K. M. & Kim, J. M. (2009). The effect of peer tutoring strategy to underachiever's ability to solve mathematical word problem. The Journal of Elementary Education Studies, 15(2), 1-18.
  72. Park, S. J. (2013). The effect of peer mentoring activity in regular classes on the efficiency of mathematics learning. Master's thesis. Kangwon National University, Chuncheon.
  73. Park, S. Y. (2009). Impact of peer teaching on the problem-solving skills and metacognition of peer tutors. Master's thesis. Seoul National university of Education, Seoul.
  74. Park, Y. K. (2009). A study on a method of teaching for underachiever of learning mathematics through peer mentoring. Master's thesis. University of Seoul, Seoul.
  75. Park, Y. K. & Lee, J. Y. (2015). The effects of peer tutoring on students with disabilities in Korean context: a meta-analysis. Journal of Special Education & Rehabilitation Science, 54(4), 101-119. https://doi.org/10.15870/jsers.2015.12.54.4.101
  76. Park, Y. M. (2016). The effect of the reciprocal peer tutoring on academic achievement, self-determination learning motivation, and academic self-efficacy of elementary school students. Master's thesis. Hanyang University, Seoul.
  77. Pyo, K. S. (2000). The effects of peer tutoring on academic achievement and self-efficacy of elementary school children. Master's thesis. Korea National University of Education, Chungbuk.
  78. Scruggs, T. E. & Osguthorpe, R. T. (1985). Tutoring interventions within special education setting: a comparison of cross-age and peer tutoring. Psychology in the Schools, 23(2), 187-193. https://doi.org/10.1002/1520-6807(198604)23:2<187::AID-PITS2310230212>3.0.CO;2-7
  79. Seo, H. J., Park, D. W., & Park, H. J. (2012). Peer tutoring intervention effect and study trend for children with learning disabilities in inclusive setting. The Korea Journal of Learning Disabilities, 9(3), 81-104.
  80. Shim, J. S. (2007). An effect of peer tutoring in math curriculum on learning attitude and academic achievement. Master's thesis. Kangwon National University, Chuncheon.
  81. Sin, S. M. (2013). The effects of structured interactive activity through classwide peer tutoring on mathematics learning achievement and learning attitude of underachievers. Master's thesis. Gyeongin National University of Education, Incheon.
  82. Son, J. Y. & Jeong, S. R. (2012). A review on research trends and intervention effectiveness of peer tutoring for educating students with disabilities. Journal of Special Education & Rehabilitation Science, 51(3), 167-195.
  83. Song, E. A., Kang, W., & Paik, S. Y. (2008). An analysis on communications in peer tutoring elementary school mathematics. Korean Journal of Elementary Education, 18(2), 35-50. https://doi.org/10.20972/kjee.18.2.200801.35
  84. Topping, K. (2001). Peer Assisted Learning: a practical guide for teachers. Cambridge, MA: Brookline Books.
  85. Utley, C. A., Mortweet, S. L., & Greenwood, C. R. (1997). Peer-mediated instruction and interventions. Focus on Exceptional Children, 29(5), 1-23.
  86. Warger, C. L. (1991). Peer Tutoring: when working together is better than working alone. Research & Resources on Special Education 30. ERIC Document Reproduction Service No. ED 345 459.
  87. Yoo, G. M. & Kim, S. Y. (2010). Effects of peer tutoring on factional computation and self-esteem of math underachievers. Special Education Research, 9(2), 31-49. https://doi.org/10.18541/ser.2010.06.9.2.31
  88. Yoon, C. S. (2010). The effects of peer tutoring for mathematics learning achievement and attitude in commercial school. Master's thesis. Kangwon National University, Chuncheon.