Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)

Korean Society of Mathematical Education (한국수학교육학회)
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Development of Mathematics Anxiety Scale for Middle School Students & its Validity

중학생용 수학불안 검사 도구의 개발 및 타당화 연구

  • Received : 2021.09.02
  • Accepted : 2021.09.27
  • Published : 2021.09.30
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Abstract

The purpose of this study is to develop math anxiety scale for middle school students for planning and implementing math anxiety treatment programs. In this study, we describe the process of developing and validating math anxiety scale for middle school students and detailing exploratory factor analysis and confirmatory factor analysis to verify construct validity. As a result of the study, we developed the Math Anxiety Scale for Middle School Students (MASS-M) of 30 items with four factors: mathematical curriculum content, mathematical attitude, mathematical test, and environment. As a math anxiety factor for middle school students, MASS-M was developed, which includes mathematical anxiety factors such as mathematical test factor and environmental factor, especially mathematical curriculum content factor describing mathematical treatment, and mathematical attitude factor describing psychological treatment. MASS-M, derived from this study, is a standardized scale for measuring math anxiety in middle school students and is expected to serve as the basis for maintaining consistency in research on math anxiety in middle school students and developing programs to treat math anxiety in middle school students.

본 연구의 목적은 수학불안을 줄이기 위한 프로그램의 계획·실행을 위한 중학생용 수학불안 검사 도구의 개발과 타당화에 있다. 본 연구에서는 중학생용 수학불안 검사 도구 개발 및 타당화 과정을 설명하고, 구인타당도를 검증하기 위한 탐색적 요인분석과 확인적 요인분석 과정을 자세하게 기술하였다. 연구 결과로 수학교과, 수학태도, 수학시험, 환경 등 4개 요인 30문항으로 이루어진 중학생용 수학불안 검사 도구 MASS-M이 개발되었다. MASS-M은 중학생의 수학불안 요인으로서 '수학시험' 요인, '환경' 요인, 특히 수학적 처치를 설명하는 '수학교과' 요인과 심리적 처치를 설명하는 '수학태도' 요인을 포함한다. 본 연구에서 도출한 MASS-M은 중학생의 수학불안을 측정하기 위해 타당화한 검사 도구로써, 중학생의 수학불안 관련 연구에 일관성을 유지하고 더 나아가 중학생의 수학불안을 처치하기 위한 프로그램 개발의 토대가 되기를 기대한다.

Keywords

Acknowledgement

설문 조사 시행에 도움 주신 김수진 선생님께 감사드립니다. 인터뷰 시행에 도움을 주신 고상숙 교수님께 감사드립니다.

References

  1. Choi-Koh, S.S., & Lee, C. Y. (2016). A Brain-based study with two groups of high anxiety and low math anxiety through the non-psychological remedy progrom of functional tasks, The Mathematical Education, 55(3), 383-396. https://doi.org/10.7468/MATHEDU.2016.55.3.383
  2. Ko, H. K., & Yi, 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.
  3. Kim, G. (2010). Structural equation model analysis. Seoul: Hannarae Publishing Co.
  4. Kim, R. (2018). Development and validation of mathematics anxiety scale for elementary students, Education of Primary School Matheatics, 21(4), 431-444.
  5. Kim, M., Im, S. I., & Kim, S. Y. (2011). Development and validation of the mathematics anxiety scale for high school students, The Korean Journal of Educational Psychology, 25(4), 717-737.
  6. Kim, Y. S., & Heo, H. J. (1995). A study on antecedents of mathematics anxiety in high school students, Journal of Educational Research in Mathematics, 5(2), 111-128.
  7. Kim, Y., & Kim, J. (2017). Development and Validation of Empathy Scale, Korean Journal of Counseling, 18(5), 61-84.
  8. Kim, E. T., Ko, S. K., & Sunwoo, H. S. (2000). Teaching method and its reform on mathematics education in elementary schools - on the resolution of mathematics anxiety, Konkuk Journal of Natural Science and Technology, 11, 71-80.
  9. Shin, D. R., Kim, K. S., & Seo, G. J. (2001). The effects of STAD cooperative learning on student's cogmitive and affective domain, The Institute of Science Education, 21, 1-21.
  10. Ok, B., Lee, C., & Choi-Koh, S.S.(2021). Reliability and validity of mathematics anxiety scale for high school students, Journal of Educational Research in Mathematics, 31(2), 211-230. https://doi.org/10.29275/jerm.2021.31.2.211
  11. Won, S. Y. (2009). The effects of small group cooperative learning on middle school student' mathematics anxiety reduction and mathematics achievement, Journal of Evaluation on Counseling, 2(2), 31-46.
  12. Yoon, R., & Jeon, I. H. (2010). The development of a math-friendly activity program for the alleviation of mathematics anxiety, Journal of Elementary Mathematics on Korea, 14(3), 583-613.
  13. Eun, S. J. & Lee, J. H. (1994). A study on the effective teaching method for highly mathematics anxiety students, The Mathematical Education, 33(2), 285-296.
  14. Lee, K-S., Rim, H., Park, I-Y., Seo, M., Kim, B. (2016). A Study on Development of the Survey Items for Affective Domain in Mathematics of NAEA, The Journal of Curriculum and Evaluation, 19(4), 45-70. https://doi.org/10.29221/jce.2016.19.4.45
  15. Lee, S. R., & Koo, Y. L. (2020). A study on the development of mathematical anxiety test for middle school students, Journal of the Korean School Mathematics Society, 23(4), 469-489.
  16. Lee, C., Kim, S. H., Kim, S, Kim K-Y., Kim, B., Yun, S., Kim, Y. (2011). Development and verification of an affective inventory in Mathematical Learning, The Mathematical Education, 50(2), 247-261. https://doi.org/10.7468/MATHEDU.2011.50.2.247
  17. Lee, C., & Kim, S. (2010). Analysis of Affective Factors on Mathematics Learning According to the Results of PISA2003, School Mathematics, 12(2), 219-237.
  18. Chang, S., & Cho, S. (2013). Development and validation of the Korean mathematics anxiety rating scale for college students, Journal of the Korean Data Analysis Society, 15(4), 1955-1969.
  19. Jung, J. B., & Whang, W. H. (2013). An anlaysis of the effects of reducing mathematics anxiety using divided-note-method and Cornell-note-method, The Journal of Curriculum and Instruction Studies, 6(1), 37-65.
  20. Choi, T. Y., Kim, S. J., & Kim, H. T. (2003). Development of strategies to reduce anxiety toward mathematics, Journal of the Korean School Mathematics Society, 6(2), 127-142.
  21. KICE (2019). OECD Programme for International Students Assessment : An analysis of PISA 2018 Results. Retrieved from https://www.kice.re.kr/resrchBoard/view.do?seq=600&s=kice&m=030109.
  22. KICE (2020). The Trends in International Mathematics and Science Study (TIMSS): Finding from TIMSS 2019 for Korea, Retrieved from https://www.kice.re.kr/resrchBoard/view.do?seq=709&s=kice&m=030109.
  23. Han, S. H., & Choi-Koh, S. S. (2016). The changes of mathematocs anxiety shown brain-based measurement through a remedy program for high school students, Journal of Educational Research in Mathematics, 26(2), 205-224.
  24. Heo, H. J. (1996). A Study on mathematics anxiety causes. Doctor's thesis, Seoul National University.
  25. Hwang, S., & Lew, K. (2018). Relationship between mathematics anxiety and mathematical achievement of middle school students according to gender and grade, Communications of Mathematical Education, 32(2), 175-189. https://doi.org/10.7468/JKSMEE.2018.32.2.175
  26. Aarnos, E., & Perkkila, P. (2012). Early signs of mathematics anxiety?, Procedia-Social and Behavioral Sciences, 46, 1495-1499. https://doi.org/10.1016/j.sbspro.2012.05.328
  27. Alexander, L., & Cobb, R. (1984). Identification of the dimensions and predictors of math anxiety among college students, Journal of Human Behavior and learning, 4, 25-32.
  28. Alexander, L., & Martray, C. (1989). The development of an abbreviated version of the Mathematics Anxiety Rating Scale, Measurement and Evaluation in Counseling and Development, 22(3), 143-150. https://doi.org/10.1080/07481756.1989.12022923
  29. Anderson, J. C., & Gerbing, D. W. (1988). Structural equation modeling in practice: A review and recommended two-step approach, Psychological Bulletin, 103(3), 411-423. https://doi.org/10.1037//0033-2909.103.3.411
  30. Baloglu, M. (2010). An investigation of the validity and reliability of the adapted mathematics anxiety ration scale-short version(MARS-SV) among Turkish students, European Journal of Psychology of Education, 25, 507-518. https://doi.org/10.1007/s10212-010-0029-2
  31. Baloglu, M., & Zelhart, P. F. (2007). Psychometric properties of the revised mathematics anxiety rating scale, The Psychological Record, 57, 593-611. https://doi.org/10.1007/BF03395597
  32. Browne, M. W., Cudeck, R.(1993). Alternative ways of assessing model fit. In K. A. Bollen & J. S. Long(Ed.), Testing structural equation models. Sage, Newbury Park, California.
  33. Carey, E., Hill, F., Devine, A., & Szucs, D. (2017). The modified abbreviated math anxiety scale: a valid and reliable instrument for use with children, Frontiers in Psychology, 8(11), 1-13.
  34. Choi-Koh, S. S., & Ryoo, B. G. (2019). Differences of math anxiety groups based on two measurements, MASS and EEG, Educational Psychology, 39(5), 659-677 https://doi.org/10.1080/01443410.2018.1543857
  35. Cipora, K., Szczygiel, M., Willmes, K., & Nuerk, H. (2015). Math anxiety assessment with the abbreviated math anxiety scale: applicability and usefulness: insights from the Polish adaptation, Frontiers in Psychology, 6, 1-16. https://doi.org/10.3389/fpsyg.2015.00001
  36. Daneshamooz, S., & Alamolhodaei, H. (2012). Cooperative learning and academic hardiness on students' mathematical performance with different levels of mathematics anxiety, Educational Research, 3.
  37. Ebel, R. L. (1979). Essentials of educational measurement(3rd ed.). Englewood Cliffs, NJ:Prentice-Hall.
  38. Faust, M. W. (1996). Mathematics anxiety effects in simple and complex addition, Mathematical Cognition, 2(1), 25-62. https://doi.org/10.1080/135467996387534
  39. Fennema, E., & Sherman, J. A. (1976). Fennema-Sherman mathematics attitudes scales: instruments designed to measure attitudes toward the learning of mathematics by females and males, Journal for Research in Mathematics Education, 7(5), 324-326. https://doi.org/10.2307/748467
  40. Ferguson, E., & Cox, T. (1993). Exploratory factor analysis: a users' guide, International Journal of Selection and Assessment, 1(2), 84-94. https://doi.org/10.1111/j.1468-2389.1993.tb00092.x
  41. Ferguson, R. D. (1986). Abstraction anxiety: a factor of mathematics anxiety, Journal for Research in Mathematics Education, 17(2), 145-150. https://doi.org/10.2307/749260
  42. Harter, S. & Pike, R. (1984). The pictorial perceived competence scale for young children, Child Development, 55, 1969-1982. https://doi.org/10.1111/j.1467-8624.1984.tb03895.x
  43. Hembree, R. (1990). The nature, effects, and relife of mathematics anxiety, Journal for Research in Mathematics Education, 21(1), 33-46. https://doi.org/10.2307/749455
  44. Hopko, D. R., Mahadevan, R., Bare, R. L., & Hunt, M. K. (2003). The Abbreviated Mathe Anxiety Scale(AMAS): Construction, Validity, and Reliablity, Assessment, 10(2), 178-182. https://doi.org/10.1177/1073191103010002008
  45. Karimi, A., & Venkatesan, S. (2009). Mathematics anxiety, mathematics performance and academic hardiness in high school students, International Journal of Educational Sciences, 1(1), 33-37. https://doi.org/10.1080/09751122.2009.11889973
  46. Ko, H. K., & Yi, H. S. (2011). Development and validation of a mathematics anxiety scale for students, Asia Pacific Educational Review, 12, 509-521. https://doi.org/10.1007/s12564-011-9150-4
  47. Luttenberger, S., Wimmer, S., & Paechter, M. (2018). Spotlight on math anxiety, Psyfhology Reserch and Behavior Management, 11, 311-322. https://doi.org/10.2147/PRBM.S141421
  48. Ma, X., & Xu, J. (2004). The causal ordering of mathematics anxiety and mathematics achievement a longitudinal panel analysis, Journal of Adolescence, 27(2), 165-179. https://doi.org/10.1016/j.adolescence.2003.11.003
  49. Pajares, F., & Urdan, T. (1996). Exploratory factor analysis of the mathematics anxiety scale, Measurement and Evaluation on Counseling and Development, 29(1), 35-47.
  50. 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
  51. Primi, C., Busdraghi, C., Tomasetto, C., Morsanyi, K., & Chiesi, F. (2014). Measuring math anxiety in Italian college and high school students: validity reliability and gender invariance of the abbreviated math anxiety scale(AMAS), Learning and Individual Differences, 34, 51-56. https://doi.org/10.1016/j.lindif.2014.05.012
  52. Primi, C., Donalti, M. A., Izzo, V. A., Guardabassi, V., O'Connor, P. A., Tomasetto, C., et al. (2020). The early elementary school abbreviated math anxiety scale(the EES-AMAS): a new adapted version of the AMAS to measure math anxiety in young children, Frontiers in Psychology, 11, 1-16. https://doi.org/10.3389/fpsyg.2020.00001
  53. Richardson, F. C., & Suinn, R. M. (1972). The mathematics anxiety rating scale: Psychometric data, Journal of Counseling Psychology, 19(6), 551-554. https://doi.org/10.1037/h0033456
  54. Rounds, J. B., & Hendel, D. D. (1980). Measurement and dimensionality of mathematics anxiety, Journal of Counseling Psychology, 27(2), 138-149. https://doi.org/10.1037/0022-0167.27.2.138
  55. Satake, E., & Amato, P. P (1995). Mathematics anxiety and achievement among Japanese elementary school students, Educational and Psychological Measurement, 55(6), 1000-1007. https://doi.org/10.1177/0013164495055006009
  56. Sheffield, D. & Hunt, T. (2007). How does anxiety influence math performance and what can we do about it?, MSOR Connections, 6(4), 19-23. https://doi.org/10.11120/msor.2006.06040019
  57. Suinn, R. M., & Edwards, R. W. (1982). The measurement of mathematics anxiety: The mathematics anxiety rating scale for adolescents, MARS-A, Journal of Clinical Psychology, 38(3), 576-580. https://doi.org/10.1002/1097-4679(198207)38:3<576::AID-JCLP2270380317>3.0.CO;2-V
  58. Suinn, R. M., Taylor, S., & Edwards, R. W. (1988). Suinn Mathematics Anxiety Rating Scale for elementary school students (MARS-E): Psychometric and normative date, Educational and Psychological Measurement, 48(4), 979-986. https://doi.org/10.1177/0013164488484013
  59. Suinn, R. M. & Winston, E. H. (2003). The mathematics anxiety rating scale, A brief version: psychometric data, Psychological Reports, 92(1), 168-173.
  60. Tabachnick, B. G., & Fidell, L. S. (2001). Using multivariate statistics. Boston: Allyn and Bacon.
  61. Vahedi, S., & Farrokhi, F. (2011). A confirmatory factor analysis of the structure of abbreviated math anxiety scale, Iranian Journal of Psychiatry, 6(2), 47-53.
  62. Wigfield, A., & Meece, J. (1988). Math anxiety in elementary & secondary school students, Journal of Educational Psychology, 80, 210-216. https://doi.org/10.1037/0022-0663.80.2.210
  63. Woodard, T. (2004). The Effects of Math Anxiety on Post-Secondary Developmental Students as Related to Achievement, Gender, and Age, Inquiry, 9(1), n1.