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A Brain-based Study with Two Groups of High Math Anxiety and Low Math Anxiety through the Non-psychological Remedy Program of Functional Tasks

비심리적 처치프로그램에 의한 고등학생 수학불안집단 간의 뇌파 연구

  • Received : 2016.02.18
  • Accepted : 2016.08.26
  • Published : 2016.08.31

Abstract

This study investigated highschool students' brain waves on functional tasks such as a transition(F task) from equation to graph and the other transition(G task) vice versa. A total of 39 students participated in the study who attended a high school located in Gyunggi province. These students were divided into two groups, HMA and LMA by MASS test revised by Ko, & Yi (2012). The functional tasks for the stroop task to measure EEG were provided from a previous study, Seok(2015). The results indicated two groups on G tasks showed deeper and wider brain waves which demonstrated G tasks were more difficult than F tasks. However, HMA group had an effect of the non-psychological program which had given more chances on G tasks rather than F tasks within Students' Zone of Proximal Development. Also, HMA group's brain waves had more ranges in amplitude and width of waves. These results imply that the characteristics of students' brain waves with math anxiety are consistent to the previous studies.

Keywords

References

  1. 고호경, 이현숙 (2012). 중.고등학생의 배경 변인에 따른 요인별 수학 불안의 차이. 한국학교수학회논문집, 15(3), 487-509.(Ko, H. K. & Lee, H. S. (2012). Difference in Mathematics Anxiety of Middle and high school students per Factor according to Background Variables. Journal of the Korean School Mathematics Society, 15(3), 487-509.)
  2. 계승혁, 김홍종, 박복현, 남진영 (2009). 고등학교 수 1. 서울: 성지출판사.(Gae, S. H., Kim, H. J., Park, B. H., & Nam, J. Y. (2009). Mathematics 1 for the High School. Seoul: Seungji Publishing Company.)
  3. 김두정(2010). 뇌 과학: 학교 교육과 교육과정에의 시사점. 교육과정연구 28(3), 127-145.(Kim, D. J. (2010). Brain science: Its implications for education and the school curriculum. The Journal of Curriculum Studies 28(3), 127-145.)
  4. 김영옥(2009). 이공계 대학 신입생들의 수학불안과 수학 학업 성취도와의 상관관계. 수학교육 48(4), 469-48.1(Kim, Y. O. (2009). The Relationship of Mathematics Anxiety and Achievement in Mathematics for the College of Engineering. The Mathematical Education 48(4), 469-48.1)
  5. 김홍종, 계승혁, 오지은, 원애경 (2009). 중 3 수학. 서울: 성지출판사.(Kim, H. J., Gae, S. H., Oh, J. E., & Won, A. K. (2009). Mathematics for 3rd Grade of Middle School. Seoul: Seungji Publishing Company.)
  6. 석영민 (2015). 뇌 기반 측정을 통하여 나타난 수학불안증의 특징: 함수적 과제를 중심으로. 단국대학교 석사학위논문.(Seok, Y. M. (2015). Features of mathematics anxiety shown through a Brain-Based Measurements. Master Thesis, Dankook University.)
  7. 심슬기, 이광호 (2010). 좌우뇌선호도에 따른 수학불안에 관한 연구. 한국학교수학회논문집 13(3), 443-458.(Shim, S. K. & Lee, K . H. (2010). A Study on Math anxiety according to the features of brain preference. Joumal of the Korean School Mathematics Society, 13(3), 443-458.)
  8. 이강섭, 황석근, 김부윤, 심성아, 왕규채, 송교식 외 (2009). 고등학교 수학I. 서울: (주)미래엔.(Lee, K. S., Whang, S. G., Kim, B. Y., Shim, S. A., Wang, G. C., Song, G. S., et al. (2009). Mathematics 1 for the High School. Seoul: MiraeN Inc.)
  9. 이광우, 김대식, 최장욱 (2001). 뇌파 검사학. 서울: 고려의학.(Lee, K. W., Kim, D. S., & Choi, J. W. (2001). Electroencephalogram. Seoul: Korean Medicine.)
  10. 이미림 (2007). 중.고등학교 학생들의 수학불안 요인에 관한 분석. 한국교원대학교 석사학위논문.(Lee, M. R. (2007). An Analysis on factor of mathematics anxiety of middle school and high school students: among The 1st, 2nd and 3rd graders at middle school and The 1st and 2nd graders at high school. Master Thesis, Korea National University of Education.)
  11. 이유빈, 조정수 (2015). CAS 공학을 사용한 합성함수 수업에서 나타난 수학적 표상 전환 과정에 대한 분석. 학교수학 17(1), 19-33.(Lee, Y. B., & Cho, C,. S. (2015). Analysis of Transforming Mathematical Representation Shown in the Class of Composite Function Using the CAS. School Mathematics 17(1), 19-33.)
  12. 이종희, 김수진 (2010). PISA 2003 결과에서 수학의 정의적 영역에 영향을 주는 변인 분석. 학교수학 12(2), 219-237.(Lee, C. H., & Kim, S. (2010). Analysis of Affective Factors on Mathematics Learning According to the Results of PISA 2003. School Mathematics 12(2), 219-237.)
  13. 한혜숙, 최계현(2013). 상호또래교수 활동이 고등학생들의 수학교과에 대한 정의적 특성에 미치는 영향. 수학교육 52(3), 423-442.(Han, H. S., & Choi, K. (2013). A study on the effects of the reciprocal peer tutoring in high school, The Mathematical Education 52(3), 423-442.)
  14. Akkoc, H., & Tall, D. (2002). The simplicity, complexity and complication of the function concept. In PME CONFERENCE (Vol. 2, pp. 2-025).
  15. Colome, A., Nunex-Pena, M. I., & Suarez-Pellicioni, M. (2013). Mathematical anxiety effects on simple arithmetic processing efficiency: An event-related potential study. Biological Psychology 94, 517-526. https://doi.org/10.1016/j.biopsycho.2013.09.012
  16. Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics 61, 103-131. https://doi.org/10.1007/s10649-006-0400-z
  17. Gogtay N, Giedd JN, Lusk L, Hayashi KM, Greenstein D, et al. (2004). Dynamic mapping of human cortical development during childhood through early adulthood. Proc Natl Acad Sci USA. 101(21), 8174-9. https://doi.org/10.1073/pnas.0402680101
  18. Hopko, D. R., Ruggiero, K. J., and Lewis, C. (1998). Mathematics Anxiety and Working Memory: Support for the Existence of a Deficient Inhibition Mechanism. Journal of Anxiety Disorders 12(4), 343-355. https://doi.org/10.1016/S0887-6185(98)00019-X
  19. Kosslyn, S. M. (1994). Image and brain: The resolution of the imagery debate. Cambridge, MA: MIT Press.
  20. Luna, B., Thulborn, K., Munoz, D., Merriam, E. Garver, K. et al. (2001). Maturation of Widely Distributed Brain Function Subserves Cognitive Development. NeroImage 13(5), 786-793.
  21. Norton, A. (2014). Mind, Mathematics, and Mental Action. 수학교육학논총 46, 7-21.
  22. Sheffield, D. & Hunt, T. (2007). How does anxiety influence math performance and what can we do about it? MSOR Connections 6(4), 19-23.
  23. Skemp, R. (2000). 수학학습심리학(황우형 역). 서울: 사이언스북스. (원저 1987년 출판, The Psychology of Learning Mathematics. Lawrence Erlbraum Associates, Inc.)
  24. Sousa, D. A. (2015). How the Brain Learns Mathematics. CA: Corwin, A Sage Company.
  25. Thomas, M. O., Wilson, A. J., Corballis, M. C., Lim, V. K., & Yoon, C. (2010). Evidence from cognitive neuroscience for the role of graphical and algebraic representations in understanding function. ZDM 42(6), 607-619. https://doi.org/10.1007/s11858-010-0272-7
  26. Vygotsky, L. S. (1978). Mind in society. In M. Cole, V. John-Steiner, S. Scribner, & U. E. Souberman (Eds.). The Development of Higher psychological Processes. Cambridge, MA: Harvard University Press.
  27. Waisman, I., Leikin, M., Shaul, S., & Leikin, R. (2014). Brain activity associated with translation between graphical and symbolic representations of functions in generally gifted and excelling in mathematics adolescents. International Journal of Science and Mathematics Education 12(3), 669-696. https://doi.org/10.1007/s10763-014-9513-5
  28. Williams, C. (1998). Using concept maps to assess conceptual knowledge of function. Journal for Research in Mathematics Education 29(4), 414-421. https://doi.org/10.2307/749858

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