Translation, Adaptation, and Validation of the Children’s Mathematics Anxiety Scale into Turkish
DOI:
https://doi.org/10.47750/pegegog.15.03.11Keywords:
Adaptation, cross-cultural, primary school, maths anxiety, validationAbstract
A new [Nation] version of the Children’s Mathematics Anxiety Scale UK (CMAS-UK) was created to be used with primary school samples (n= 1450). A multistep process was followed, including (1) the translation and adaptation of the scale; (2) exploratory factor analysis and parallel analysis; (3) reliability analysis; (4) confirmatory factor analysis; and (5) convergent and discriminant validity evidence. Unlike the original version of the CMAS, exploratory factor analysis revealed a two-factor internal structure. Comparison of the fit indices for the three models demonstrated that a 19-item two-factor solution was the preferable model. Mathematics anxiety scores at grades 2-4 showed a positive relationship with children’s mathematics anxiety at grades 1-5. Multivariate analyses revealed no significant differences in mathematics anxiety by gender whereas significant differences were found across grade levels. The CMAS-[Nation] is the first cultural adaptation with an older sample and sound psychometric properties supporting future cross-cultural research on mathematics anxiety.
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References
AERA, APA, & NCME. (1999). Standards for educational and psychological testing. American Educational Research Association.
Authors et al. (2015).
Authors et al. (2011).
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, 143-150.
Andrews, A., & Brown, J. (2015). The effects of math anxiety. Education, 135(3), 362-370.
Ashcraft, M. H., & Kirk, E. P. (2001). The relationships among working memory, math anxiety, and performance. Journal of Experimental Psychology: General, 130(2), 224–237. https://doi.org/10.1037/0096-3445.130.2.224
Ashcraft, M. H., & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14(2), 243–248. https://doi.org/10.3758/ bf03194059
Bai, H. (2011). Cross-validating a bidimensional mathematics anxiety scale. Assessment, 18(1), 115-122. https://doi.org/10.1177/1073191110364312
Author & Author (2010).
Baptist, J., Minnie, L., Buksner, S., Kaye, R., & Morgan, J. (2007). Screening in the early years for mathematics difficulties and disabilities: Identifying red flags to support early learners at risk. Orbit, 37, 14–19.
Barroso, C., Ganley, C. M., McGraw, A. L., Geer, E. A., Hart, S. A., & Daucourt, M. C. (2021). A meta-analysis of the relation between math anxiety and math achievement. Psychological Bulletin, 147(2), 134–168. https://doi.org/10.1037/bul0000307
Bartlett, M. S. (1954). A note on the multiplying factors for various chi square approximation. Journal of Royal Statistical Society, 16(Series B), 296-298.
Author (2005).
Bodas, J., Ollendick, T. H., & Sovani, A. V. (2008). Test anxiety in Indian children: A cross-cultural perspective. Anxiety, Stress, & Coping, 21(4), 387-404. https://doi.org/10.1080/10615800701849902
Byrne, B. M. (2013). Structural equation modeling with Mplus: Basic concepts, applications, and programming. Routledge.
Carey, E., Hill, F., Devine, A., & Szűcs, D. (2017). The modified Abbreviated Math Anxiety Scale: A valid and reliable instrument for use with children. Frontiers in Psychology, 8(11). https://doi.org/10.17863/CAM.8377.
Chiu, L., & Henry, L. (1990). Development and validation of the mathematics anxiety scale for children. Measurement and Evaluation in Counseling and Development, 23, 121–127.
Clements, D. H., & Sarama, J. (2009). Learning trajectories in early mathematics–sequences of acquisition and teaching. Encyclopedia of Language and Literacy Development, 7, 1-6.
Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Lawrence Earlbaum Associates.
Cohen, J., Cohen, P., West, S. G., & Aiken, L. S. (2003). Applied multiple regression/correlation analysis for the behavioral sciences. Lawrence Erlbaum.
Commodari, E., & La Rosa, V. L. (2021). General academic anxiety and math anxiety in primary school. The impact of math anxiety on calculation skills. Acta Psychologica, 220, 103413. https://doi.org/10.1016/j.actpsy.2021.103413
Crocker, L., & Algina, J. (1986). Introduction to classical and modem test theory. Holt, Rinehart & Winston.
Author & Author (2008).
Dowker, A., Sarkar, A., & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? Frontiers in Psychology, 7, 508. https://doi.org/10.3389/fpsyg.2016.00508
Else-Quest, N. M., Hyde, J. S., & Linn, M. C. (2010). Cross-national patterns of gender differences in mathematics: A meta-analysis. Psychological Bulletin, 136(1), 103–127. https://doi.org/10.1037/a0018053
European Parliament and the Council of European Union (2006, July 15). Official Journal of the European Union, https://www.eumonitor.eu/9353000/1/j9vvik7m1c3gyxp/vitgbgirrhw1.
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
Ganley, C. M., & McGraw, A. L. (2016). The development and validation of a revised version of the Math Anxiety Scale for Young Children. Frontiers in Psychology, 7(1181), 1-18. https://doi.org/10.3389/fpsyg.2016.01181
Geist, E. (2010). The anti-anxiety curriculum: Combating math anxiety in the classroom. Journal of Instructional Psychology, 37(1), 24-31.
Gunderson, E. A., Park, D., Maloney, E. A., Beilock, S. L., & Levine, S. C. (2018). Reciprocal relations among motivational frameworks, math anxiety, and math achievement in early elementary school. Journal of Cognition and Development, 19(1), 21–46. https://doi.org/10.1080/15248372.2017.1421538
Hair, J. F., Black, W. C., Babin, B. J., Anderson, R. E., & Tatham, R. L. (2006). Multivariate data analysis. Pearson Education.
Hambleton, R. K., Merenda, P. F., & Spielberger, C. D. (2005). Issues, designs, and technical guidelines for adapting tests into multiple languages and cultures. Adapting Educational and Psychological Tests for Cross-Cultural Assessment, 1, 3-38.
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
Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education, 21(1), 33-46.
Hopko, D. R., Mahadevan, R., Bare, R. L., & Hunt, M. K. (2003). The abbreviated math anxiety scale (AMAS). Assessment, 10(2), 178–182. https://doi.org/10.1177/ 1073191103010002008
Hu, L.-T., & Bentler, P. M. (1995). Evaluating model fit. In R. H. Hoyle (Ed.), Structural equation modeling: Concepts, issues, and applications (pp. 76–99). Sage Publications, Inc.
Hunt T. E., Clark-Carter D., & Sheffield D. (2011). The development and part validation of a U.K. Scale for mathematics anxiety. Journal of Psychoeducational Assessment, 29, 455-466. https://doi.org/10.1177/0734282910392892
Hyde, J. S. (2005). The gender similarities hypothesis. American psychologist, 60(6), 581-592. https://doi.org/10.1037/0003-066X.60.6.581
Jameson, M. M. (2013). The development and validation of the Children’s Anxiety in Math Scale. Journal of Psychoeducational Assessment, 31(4), 391-395. https://doi.org/10.1177/0734282912470131
Kaiser, H. F. (1974). A computational starting point for Rao's canonical factor analysis: Implications for computerized procedures. Educational and Psychological Measurement, 34(3), 691-692.
Author & Author (2016).
Kline, R. B. (2023). Principles and practice of structural equation modeling. Guilford publications.
Krispenz, A., Gort, C., Schültke, L., & Dickhäuser, O. (2019). How to reduce test anxiety and academic procrastination through inquiry of cognitive appraisals: A pilot study investigating the role of academic self-efficacy. Frontiers in Psychology, 10, 1-14. https:// doi.org/10.3389/fpsyg.2019.01917
Lim, S. Y., & Chapman, E. (2013). Development of a short form of the attitudes toward mathematics inventory. Educational Studies in Mathematics, 82(1), 145-164. https://doi.org/10.1007/s10649-012-9414-x
Little, R. J. (1988). A test of missing completely at random for multivariate data with missing values. Journal of the American Statistical Association, 83(404), 1198-1202. https://doi: 10.1080/01621459.1988.10478722
Lukowski, S. L., DiTrapani, J. B., Jeon, M., Wang, Z., Schenker, V. J., Doran, M. M., Hart, S. A., Mazzocco, M. M. M., Willcutt, E. G., Thompson, L. A., & Petrill, S. A. (2019). Multidimensionality in the measurement of math-specific anxiety and its relationship with mathematical performance. Learning and Individual Differences, 70, 228–235. https://doi.org/10.1016/j.lindif.2016.07.007
Ma, X. (1999). A meta-analysis of the relationship between anxiety toward mathematics and achievement in mathematics. Journal for Research in Mathematics Education, 30(5), 520-540. https://doi.org/10.2307/749772
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
Merenda, P. F. (2006). An overview of adapting educational and psychological assessment instruments: Past and present. Psychological Reports, 99, 307–314. https://doi.org/10.2466/pr0.99.2.307-314
[Ministry of Education]. (2018, August 15).
Author & Author (2018).
Namkung, J., Peng, P., & Lin, X. (2019). The relation between mathematics anxiety and mathematics performance among school-aged students: A meta-analysis. Review of Educational Research, 89(3), 459–496. https://doi.org/10.3102/ 0034654319843494.
Núñez-Peña, M. I., Guilera, G., & Suárez-Pellicioni, M. (2014). The Single-Item Math Anxiety Scale (SIMA): An alternative way of measuring mathematical anxiety. Personality and Individual Differences, 60, S75-S76. https://doi.org/10.1016/j.paid.2013.07.339
Nunnally J. C. (1978). Psychometric theory (2nd ed.). McGraw-Hill.
Author & Author (2011).
Passolunghi, M. C., De Vita, C., & Pellizzoni, S. (2020). Math anxiety and math achievement: The effects of emotional and math strategy training. Developmental Science, 23(6), e12964. https://doi.org/10.1111/desc.12964
Petronzi, D., Staples, P., Sheffield, D., Hunt, T. E., & Fitton-Wilde, S. (2018, October 17). Further development of the Children's Mathematics Anxiety Scale UK (CMAS-UK) for ages 4–7 years. Retrieved June 14, 2021, from https://psyarxiv.com/w92tf/
Petronzi, D., Staples, P., Sheffield, D., Hunt, T. E., & Fitton-Wilde, S. (2019). Further development of the Children’s Mathematics Anxiety Scale UK (CMAS-UK) for ages 4–7 years. Educational Studies in Mathematics, 100(3), 231-249. https://doi.org/10.1007/s10649-018-9860-1
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, 551-557. https://doi.org/10.1177/001316448204200218
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
Schermelleh-Engel, K., Moosbrugger, H., & Müller, H. (2003). Evaluating the fit of structural equation models: Tests of significance and descriptive goodness-of-fit measures. Methods of Psychological Research Online, 8(2), 23-74.
Shi, Z., & Liu, P. (2016). Worrying thoughts limit working memory capacity in math anxiety. PLoS One, 11(10), e0165644. https://doi.org/10.1371/journal. pone.0165644
Sorvo, R., Koponen, T., Viholainen, H., Aro, T., Räikkönen, E., Peura, P., Dowker, A., & Aro, M. (2017). Math anxiety and its relationship with basic arithmetic skills among primary school children. British Journal of Educational Psychology, 87(3), 309-327. https://doi.org/10.1111/bjep.12151
Spelke, E. S. (2005). Sex differences in intrinsic aptitude for mathematics and science? A critical review. American Psychologist, 60(9), 950–958. https://doi.org/10.1037/0003-066X.60.9.950
Suinn R. M., Taylor S., & Edwards R. W. (1988). Suinn Mathematics Anxiety Rating Scale for Elementary School Students (MARS-E): Psychometric and normative data. Educational and Psychological Measurement, 48(4), 979-986. https://doi.org/10.1177/0013164488484013
Suinn, R. M., & Winston, E. H. (2003). The mathematics anxiety rating scale, a brief version: psychometric data. Psychological Reports, 92(1), 167-173. https://doi.org/10.2466/pr0.2003.92.1.167
Tabachnick, B. G., Fidell, L. S., & Ullman, J. B. (2013). Using multivariate statistics. Pearson Education.
van Eerde, W. (2003). A meta-analytically derived nomological network of procrastination. Personality and Individual Differences, 35(6), 1401–1418. https://doi. org/10.1016/s0191-8869(02)00358-6
Vukovic, R. K., Kieffer, M. J., Bailey, S. P., & Harari, R. R. (2013). Mathematics anxiety in young children: Concurrent and longitudinal associations with mathematical performance. Contemporary Educational Psychology, 38(1), 1-10. https://doi.org/10.1016/j.cedpsych.2012.09.001
Wai, J., Lubinski, D., Benbow, C. P., & Steiger, J. H. (2010). Accomplishment in science, technology, engineering, and mathematics (STEM) and its relation to STEM educational dose: A 25-year longitudinal study. Journal of Educational Psychology, 102(4), 860–871. https://doi.org/10.1037/a0019454
Watkins, M. W. (2000). Monte Carlo PCA for parallel analysis [computer software]. State College, PA: Ed & Psych Associates, 432-442.
Wigfield, A. & Meece, J. L. (1988). Math anxiety in primary and secondary school students. Journal of Educational Psychology, 80(2), 210-216.
Xie, F., Xin, Z., Chen, X., & Zhang, L. (2019). Gender difference of Chinese high school students’ math anxiety: The effects of self-esteem, test anxiety and general anxiety. Sex Roles, 81(3), 235-244. https://doi.org/10.1007/s11199-018-0982-9
Author & Author (2017).
Zhang, J., Zhao, N., & Kong, Q. P. (2019). The relationship between math anxiety and math performance: A meta-analytic investigation. Frontiers in Psychology, 10, 1613. https://doi.org/10.3389/fpsyg.2019.01613.
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