# Validation of the Math Anxiety Scale with the Rasch Measurement Model

## Abstract

The purpose of this study was to investigate the psychometric characteristics of the Math Anxiety Scale (MANX; Erol 1989, Unpublished master thesis, Bogazici University) with data collected from 952 middle school students in Turkey. The Rasch Rating Scale model was used to examine the MANX at the item level. The results revealed that although the MANX was sensitive to detect students with moderate levels of math anxiety and it was not targeted to identify those with very high and low math anxiety levels, it had high reliability and validity. Moreover, the majority of the MANX items were of good quality. The results of this study provide strong evidence for the validation of the MANX despite the need for deletion of eight misfit items and three items with the same item difficulties. Future research should consider possible revision or development of new items to capture gradations of challenges at the very high and low ends of the continuum.

## Keywords

Math anxiety Rasch rating scale model Item functioning Middle school students## Notes

### Funding

The authors received no financial support for the research, authorship, and/or publication of this article.

### Compliance with ethical standards

### Conflict of interest

The authors declare that they have no conflict of interest.

## References

- Ader, E., & Erktin, E. (2010). Coping as self-regulation of anxiety: a model for math achievement in high-stakes tests.
*Cognition, Brain, Behavior: An Interdisciplinary Journal, 14*(4), 311–332.Google Scholar - 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.Google Scholar - Anderson, D., Kahn, J. D., & Tindal, G. (2017). Exploring the robustness of a unidimensional item response theory model with empirically multidimensional data.
*Applied Measurement in Education, 30*(3), 163–177.CrossRefGoogle Scholar - Andrich, D. (1978). Rating formulation for ordered response categories.
*Psychometrika, 43*, 561–573.CrossRefGoogle Scholar - Andrich, D. (1988).
*Rasch models for measurement*. Newbury Park, CA: Sage.CrossRefGoogle Scholar - Andrich, D. (2004). Controversy and the Rasch model: a characteristic of incompatible paradigms?
*Medical Care, 42*, 1–16.CrossRefGoogle Scholar - Ashcraft, M. H. (2002). Math anxiety: personal, educational, and cognitive consequences.
*Current Directions in Psychological Science, 11*(2), 181–185.CrossRefGoogle Scholar - Ashcraft, M. H., & Moore, A. M. (2009). Mathematics anxiety and the affective drop in performance.
*Journal of Psychoeducational Assessment, 27*(3), 197–205.CrossRefGoogle Scholar - Aydin, E., Delice, A., Dilmaç, B., & Ertekin, E. (2009). The influence of gender, grade and institution on primary school mathematics student teachers’ anxiety levels.
*Elementary Education Online, 8*(1), 231–242.Google Scholar - Baloğlu, M., & Zelhart, P. F. (2007). Psychometric properties of the revised mathematics anxiety rating scale.
*The Psychological Record, 57*, 593–611.CrossRefGoogle Scholar - Beasley, T. M., Long, J. D., & Natali, M. (2001). A confirmatory factor analysis of the mathematics anxiety scale for children.
*Measurement and Evaluation in Counseling and Development, 34*, 14–26.Google Scholar - Bekdemir, M. (2010). The pre-service teachers’ mathematics anxiety related to depth of negative experiences in mathematics classroom while they were students.
*Educational Studies in Mathematics, 75*, 311–328.CrossRefGoogle Scholar - Bindak, R. (2005). İlköğretim öğrencileri için matematik kaygı ölçeği (Math anxiety scale for elementary school students).
*Fırat Üniversitesi, Fen ve Mühendislik Bilimleri Dergisi, 17*(2), 442–448.Google Scholar - Bond, T. G., & Fox, C. M. (2015).
*Applying the Rasch model: fundamental measurement in the human sciences*. New York, NY: Routledge.Google Scholar - Caviola, S., Primi, C., Chiesi, F., & Mammarella, I. C. (2017). Psychometric properties of the Abbreviated Math Anxiety Scale (AMAS) in Italian primary school children.
*Learning and Individual Differences, 55*, 174–182.CrossRefGoogle Scholar - Engelhard, G. (2009). Using item response theory and model-data fit to conceptualize differential item and person functioning for students with disabilities.
*Educational and Psychological Measurement, 69*(4), 585–602.CrossRefGoogle Scholar - Engelhard, G. (2013).
*Invariant measurement: using Rasch models in the social, behavioral, and health sciences*. New York, NY: Routledge.Google Scholar - Erden, M., & Akgül, S. (2010). Predictive power of math anxiety and perceived social support from teacher for primary students’ mathematics achievement.
*Journal of Theory and Practice in Education, 6*(1), 3–16.Google Scholar - Erktin, E., Dönmez, G., & Özel, S. (2006). Psychometric characteristics of the mathematics anxiety scale.
*Education and Science, 31*(140), 26–33.Google Scholar - Erol, E. (1989).
*Prevalence and correlates of math*anxiety*in Turkish high school students*. Unpublished master thesis, Bogazici University.Google Scholar - Fennema, E., & Sherman, J. A. (1976). Fennema-Sherman Mathematics Attitude Scale: instruments designed to measure attitudes toward the learning of mathematics by males and females.
*JAS Catalog of Selected Document of Psychology, 6*, 31.Google Scholar - Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety.
*Journal for Research in Mathematics Education, 21*, 33–46.CrossRefGoogle Scholar - Hill, F., Mammarella, I. C., Devine, A., Caviola, S., Passolunghi, M. C., & Szücs, D. (2016). Math anxiety in primary and secondary school students: gender differences, developmental changes and anxiety specificity.
*Learning and Individual Differences, 48*, 45–53.CrossRefGoogle Scholar - Ho, H., Senturk, D., Lam, A. G., Zimmer, J. M., Hong, S., Okamoto, Y., & Chiu, S. (2000). The affective and cognitive dimensions of math anxiety: a cross-national study.
*Journal for Research in Mathematics Education, 31*(3), 362–379.CrossRefGoogle Scholar - Hopko, D. R. (2003). Confirmatory factor analysis of the Math Anxiety Rating Scale-Revised.
*Educational and Psychological Measurement, 63*(2), 336–351.CrossRefGoogle Scholar - Linacre, J. M. (2005).
*A user’s guide to WINSTEPS*. Chicago: Winsteps.com. - Linacre, J. M. (2013). Facets Rasch Measurement (Version 3.71.3) [Computer Software]. Chicago, IL: Winsteps.com.
- Linacre, J. M., & Wright, B. D. (1994). Reasonable mean-square fit values.
*Rasch Measurement Transactions, 8*(3), 370.Google Scholar - Ludlow, L. H., Matz-Costa, C., Johnson, C., Brown, M., Besen, E., & James, J. B. (2014). Measuring engagement in later life activities: Rasch-based scenario scales for work, caregiving, informal helping, and volunteering.
*Measurement and Evaluation in Counseling and Development, 47*(2), 127–149.CrossRefGoogle Scholar - Ma, X. (1999). Meta-analysis of the relationship between anxiety toward mathematics and achievement in mathematics.
*Journal for Research in Mathematics Education, 30*, 520–540.CrossRefGoogle Scholar - Prieto, G., & Delgado, A. R. (2007). Measuring math anxiety (in Spanish) with the Rasch Rating Scale Model.
*Journal of Applied Measurement, 8*, 149–160.Google Scholar - 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.CrossRefGoogle Scholar - Rasch, G. (1960).
*Probabilistic models for some intelligence and attainment tests*. Copenhagen, Denmark: The Danish Institute of Education Research. Expanded edition (1980) with foreword and afterword by B.D. Wright. Chicago, IL: The University of Chicago Press).Google Scholar - Reckase, M. D. (1979). Unifactor latent trait models applied to multifactor tests: results and implications.
*Journal of Educational Statistics, 4*, 207–230.CrossRefGoogle Scholar - Richardson, F. C., & Suinn, R. M. (1972). The mathematics anxiety rating scale: psychometric data.
*Journal of Counseling Psychology, 19*(6), 551–554.CrossRefGoogle Scholar - Schilling, S. G., & Hill, H. C. (2007). Assessing measures of mathematical knowledge for teaching: a validity argument approach.
*Measurement, 5*(2–3), 70–80.Google Scholar - SPSS Inc. (2007). SPSS for Windows, Version 16.0. Chicago, SPSS Inc.Google Scholar
- Stout, W. F. (1990). A new item response theory modeling approach with applications to unidimensional assessment and ability estimation.
*Psychometrika, 55*, 293–326.CrossRefGoogle Scholar - Suinn, R. M., & Edwards, R. (1982). The measurement of mathematics anxiety. The Mathematics Anxiety Rating Scale for Adolescents–MARS-A.
*Journal of Clinical Psychology, 38*(3), 576–580.CrossRefGoogle Scholar - Suinn, R., Taylor, S., & Edwards, R. (1988). Suinn Mathematics Anxiety Rating Scale for Elementary School Students (MARS-E). Psychometric and normative data.
*Educational and Psychological Measurement, 48*, 979–986.CrossRefGoogle Scholar - Wigfield, A., & Meece, J. L. (1988). Math anxiety in elementary and secondary school students.
*Journal of Educational Psychology, 80*, 210–216.CrossRefGoogle Scholar - Wright, B. D., & Mok, M. M. C. (2004). An overview of the family of Rasch measurement models. In E. Smith & R. Smith (Eds.),
*Introduction to Rasch measurement*(pp. 1–24). Maple Grove, MN: JAM Press.Google Scholar - Yan, Z., & Mok, M. M. C. (2012). Validating the coping scale for Chinese athletes using multidimensional Rasch analysis.
*Psychology of Sport and Exercise, 13*, 271–279.CrossRefGoogle Scholar - Young, C. B., Wu, S. S., & Menon, V. (2012). The neurodevelopmental basis of math anxiety.
*Psychological Science, 23*(5), 492–501.CrossRefGoogle Scholar