DOI QR코드

DOI QR Code

Development and Validation of Mathematics Anxiety Scale for Elementary Students

초등학생의 수학 불안 측정 도구 개발 연구

  • Received : 2018.09.16
  • Accepted : 2018.10.31
  • Published : 2018.10.31

Abstract

The purpose of this study was to develop and validate a mathematics anxiety scale for elementary students in South Korea. Based on the literature review, I developed two types of survey items measuring elementary students' mathematics anxiety. Teachers or students may use survey measurements selectively according to the students' participants in mathematics private institutions. In order to assess the reliability and validity of survey items, I conducted surveys with elementary students. The sample consisted of 300 elementary students in public elementary schools in Seoul. A total of 28 items were developed and examined for the internal consistence. The results showed that the proposed scale was appropriate to represent the mathematics anxiety of elementary students. The survey items of this study could be applied for assessing elementary students' mathematics anxiety regardless of their gender and age factors.

본 연구에서는 문헌연구와 초등학교 3-6학년 학생들을 대상으로 한 설문의 통계적 검증을 토대로 초등학교 학생을 대상으로 하는 수학 불안 측정 도구를 개발하였다. 측정 도구는 수학 사교육 여부와 상관없이 수학 불안을 측정할 수 있는 도구와 수학 사교육에 참여하는 학생들에게 추가적으로 적용할 수 있는 도구, 총 2종으로 개발되었다. 문헌 연구 결과를 바탕으로 수학 불안 측정 도구는 수학 시험, 수학 수업, 수학 교사, 수학 수업과 관련한 부모님의 태도, 수학 상황에 대한 걱정이라는 다섯 가지 요인을 기반으로 설계되었다. 수학 사교육 관련 수학 불안 측정 도구는 사교육 수학 시험, 사교육 수학 수업, 사교육 교사라는 세 가지 요인을 기반으로 제작되었다. 본 연구에서는 신뢰도 검증을 위해 두 측정 도구에 대해 주성분분석(Principal Component Analysis)을 실시하였다. 또한 연구 참여자에게 수학 불안과 음의 상관관계가 있는 것으로 알려져 있는 수학 자기 효능감 측정 도구를 적용, 본 연구에서 개발한 측정도구와의 상관관계를 통계적으로 분석하여 타당도 검증을 실시하였다. 문헌연구, 통계적 분석을 기반으로 한 신뢰도 타당도 검증을 통해 본 연구에서는 21개의 수학 불안 측정도구 문항과 7개의 수학 사교육 관련 수학 불안 측정 도구 문항을 확정하였다.

Keywords

References

  1. Kim, R. (2018). Elementary students mathematics anxiety: A review, Education of Primary Mathematics Education, 21(2), 223-235.
  2. Kim, R., & Sihn, H. G. (201). An analysis of causes of elementary students' mathematics anxiety, The Journal of Korea Elementary Education, 26(1), 83-92.
  3. Kim, R., & Sihn, H. G. (2016). Development and validation of mathematics creative scale for elementary student, The Journal of Korea Elementary Education, 26(1), 83-92.
  4. Kim, R., & Sihn, H. G. (2017). Development and validation of mathematics teaching efficacy scale for south korean elementary teachers, Journal of Elementary Mathematics Education in Korea, 21(3), 443-460.
  5. Kim, H. M., & Kang, W. (2006). An analysis of the causes of mathematics anxiety in the elementary school students according to the grades and sex, Journal of Elementary Mathematics Education in Korea, 10(1), 89-106.
  6. Lee, Y, S. (2005), A study on mathematics anxiety causes among elementary schoolers (An Published Master thesis), KyungIn University of Education, InChon, South Korea.
  7. Choi, B, H. (2014), The effects of digital storytelling on mathematical communication apprehension in 6th graders' mathematics instruction , Education of Primary Mathematics Education, 17(1), 41-56.
  8. Huh, H, J. (1996). The causes of mathematics anxiety, (An Published Doctoral Dissertation), Seoul University, Seoul, South Korea.
  9. Alexander, L., & Cobb, R. (1984). Identification of the dimensions and predictors of math anxiety among college students. Paper presented at the meeting of the Mid-South Educational Research Association, New Orleans, LA
  10. Ashcraft, M. H. (2002). Math anxiety: Personal, educational, and cognitive consequences, Current Directions in Psychological Science, 11, 181-185.doi:10.1111/1457-8721.00196
  11. Ashcraft, M. H., & Kirk, E. P. (2001). The relationships among working memory, math anxiety, and performance, Journal of Experimental Psychology: General, 130, 224-237. https://doi.org/10.1037/0096-3445.130.2.224
  12. Ashcraft, M. H., Krause, J. A., & Hopko, D. R. (2007). Is math anxiety a mathematical learning disability. Why is math so hard for some children, 329-348.
  13. Ball, D., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special?. Journal of teacher education, 59(5), 389-407. https://doi.org/10.1177/0022487108324554
  14. Balogu, M. (2003). Individual differences in statistics anxiety among college students, Personality and Individual Differences, 34, 855-865. https://doi.org/10.1016/S0191-8869(02)00076-4
  15. Beilock, S. L., Gunderson, E. A., Ramirez, G., & Levine, S. C. (2010). Female teachers' math anxiety affects girls' math achievement. Proceedings of the National Academy of Sciences, 107(5), 1860-1863. https://doi.org/10.1073/pnas.0910967107
  16. Bishop, S. J. (2007). Neurocognitive mechanisms of anxiety: An investigative account, Trends in Cognitive Sciences, 11, 307-316. https://doi.org/10.1016/j.tics.2007.05.008
  17. Buckley, S., Reid, K., Goos, M., Lipp, O. V., & Thomson, S. (2016). Understanding and addressing mathematics anxiety using perspectives from education, psychology and neuroscience. Australian Journal of Education, 60(2), 157-170. https://doi.org/10.1177/0004944116653000
  18. Cemen, P. B. (1987). The nature of mathematics anxiety.
  19. Cooper, S. E., &Robinson, D. A. (1991). The relationship of mathematics self-efficacy beliefs to mathematics anxiety and performance. Measurement and Evaluation in Counseling and Development.
  20. Devine, A., Fawcett, K., Szucs, D., & Dowker, A. (2012). Gender differences in matheamtics anxiety and the relation to mathematics performance while controlling for test anxiety. Behavioral and Brain Fuctions, 8, 1-9. https://doi.org/10.1186/1744-9081-8-1
  21. Geist, E. (2010). The anti-anxiety curriculum: Combating math anxiety in the classroom. Journal of Instructional Psychology, 37(1).
  22. Harari, R. R., Vukovic, R. K., & Bailey, S. P. (2013). Mathematics anxiety in young children: An exploratory study. The Journal of Experimental Education, 81(4), 538-555. https://doi.org/10.1080/00220973.2012.727888
  23. Hofmann, S. G., Ellard, K. K., & Siegle, G. J. (2012). Neurobiological correlates of cognitions in fear and anxiety: A cognitive-neurobiological information-processing model. Cognition and Emotion, 26, 282-299. https://doi.org/10.1080/02699931.2011.579414
  24. Jackson, C. D., & Leffingwell, R. J. (1999). The role of instructors in creating math anxiety in students from kindergarten through college. The Mathematics Teacher, 92(7), 583-586.
  25. Jameson, M. M. (2013). The development and validation of the children's anxeity in math scale. Journal of Psychoeducational Assessment, 3(4), 391-395. https://doi.org/10.1177/073428298500300411
  26. Kaiser, H. F. (1970). A second generation little jiffy. Psychometrika, 35(4), 401-415. https://doi.org/10.1007/BF02291817
  27. LeDoux, J. (1996). Historical perspectives on the biology of emotions. New York: Touchstone.
  28. May, D. K. (2009). Mathematics self-efficacy and a nxiety questionnaire (Doctoral dissertation, University of Georgia).
  29. Plake, B. S., & Parker, C. S. (1982). The development and validation of a revised version of the mathematics anxiety rating scale. Educational and Psychological Measurement, 42(2), 551-557. https://doi.org/10.1177/001316448204200218
  30. Richardson, F. C., & Suinn, R, M. (1972). The mathematics anxiety rating scale: Psychometric data. Journal of Counseling Psychology, 19, 551. https://doi.org/10.1037/h0033456
  31. Van Dierendonck, D., & Nuijten, I. (2011). The servant leadership survey: Development and validation of a multidimensional measure. Journal of business and psychology, 26(3), 249-267. https://doi.org/10.1007/s10869-010-9194-1
  32. Wood, E. F. (1988). Math anxiety and elementary teachers: What does research tell us?. For the learning of mathematics, 8(1), 8-13.
  33. Zimmerman, B. J. (2000). Self-efficacy: An essential motive to learn. Contemporary educational psychology, 25(1), 82-91. https://doi.org/10.1006/ceps.1999.1016

Cited by

  1. 초등학교 저학년 학생의 음주예방행위 예측변수 측정도구 개발 - Ajzen의 계획적 행위이론 기반 - vol.50, pp.2, 2018, https://doi.org/10.4040/jkan.2020.50.2.210
  2. 중학교 학생을 위한 수학불안 검사 개발 연구 vol.23, pp.4, 2018, https://doi.org/10.30807/ksms.2020.23.4.003