The present study tested whether a reduced number of categories is optimal for assessing mathematics self-efficacy among middle school students using a 6-point Likert-type format or a 0- to 100-point format. Two independent samples of middle school adolescents (N = 1,913) were administered a 24-item Middle School Mathematics Self-Efficacy Scale using either a 101-point or a 6-point response scale format. The findings suggest that the two different response scale formats were optimally represented by a 4-point scale and supported when samples were pooled. Results provide tentative evidence that middle school students make use of only 4 scale points and that the items on this scale are best matched with adolescents with average to below-average mathematics self-efficacy. Implications for the measurement of self-efficacy and related motivation constructs are discussed, and replications with a 4-point scale using category descriptors for each scale point are needed.

Alviar-Martin, T., Randall, J. D., Usher, E. L., Engelhard, G. (2008). Teaching civic topics in four societies: Examining national context and teacher confidence. The Journal of Educational Research, 101, 177-188. doi:10.3200/JOER.101.3.177-188
Google Scholar | Crossref | ISI
American Educational Research Association, American Psychological Association, & National Council on Measurement in Education . (2014). Standards for educational and psychological testing. Washington, DC: American Psychological Association.
Google Scholar
Andrich, D. (1978). A rating formulation for ordered response categories. Psychometrika, 43, 561-573. Retrieved from http://link.springer.com/journal/11336
Google Scholar
Andrich, D. (2013). An expanded deviation of the threshold structure of the polytomous Rasch model that dispels any “threshold disorder controversy.” Educational and Psychological Measurement, 73, 78-124. doi:10.1177/0013164412450877
Google Scholar | SAGE Journals | ISI
Bandura, A. (2006). Guide for constructing self-efficacy scales. In Pajares, F., Urdan, T. (Eds.), Adolescence and education, Vol. 5: Self-efficacy and adolescence (pp. 307-337). Greenwich, CT: Information Age.
Google Scholar
Bong, M. (2001). Role of self-efficacy and task-value in predicting college students’ course performance and future enrollment intentions. Contemporary Educational Psychology, 26, 553-570. doi:10.1006/ceps.2000.1048
Google Scholar | Crossref | Medline | ISI
Bong, M. (2006). Asking the right question: How confident are you that you could successfully perform these tasks? In Pajares, F., Urdan, T. (Eds.), Adolescence and education, Vol. 5: Self-efficacy beliefs of adolescents (pp. 287-305). Greenwich, CT: Information Age.
Google Scholar
Bong, M., Hocevar, D. (2002). Measuring self-efficacy: Multitrait-multimethod comparison of scaling procedures. Applied Measurement In Education, 15, 143-171. doi:10.1207/s15324818AME1502_02
Google Scholar | Crossref | ISI
Brown, S. D., Lent, R. W. (2006). Preparing adolescents to make career decisions: A social cognitive perspective. In Pajares, F., Urdan, T. (Eds.), Adolescence and education, Vol. 5: Self-efficacy beliefs of adolescents (pp. 201-223). Greenwich, CT: Information Age.
Google Scholar
Butz, A. R., Toland, M. D., Zumbrunn, S. K., Danner, F. W., Usher, E. L. (2014, April). What is the “magic number?” A review of response categories in measuring writing self-efficacy. Paper presented at the meeting of the American Educational Research Association, Philadelphia, PA.
Google Scholar
Cheema, J. R., Kitsantas, A. (2013). Influences of disciplinary classroom climate on high school student self-efficacy and mathematics achievement: A look at gender and racial-ethnic differences. International Journal of Science and Mathematics Education, 12, 1261-1279.
Google Scholar | Crossref | ISI
Cipriani, D. J., Hensen, F. E., McPeck, D. L., Kubec, G. L. D., Thomas, J. J. (2012). Rating scale analysis and psychometric properties of the caregiver self-efficacy scale for transfers. Physical & Occupational Therapy in Pediatrics, 32, 405-415. doi:10.3109/01942638.2012.694993
Google Scholar | Crossref | ISI
Cowan, N. (2010). The magical mystery four: How is working memory capacity limited, and why? Current Directions in Psychological Science, 19, 51-57. doi:10.1177/0963721409359277
Google Scholar | SAGE Journals | ISI
Cowan, N., Morey, C. C., Chen, Z., Gilchrist, A. L., Saults, J. S. (2008). Theory and measurement of working memory capacity limits. The Psychology of Learning and Motivation, 49, 49-104. doi:10.1016/S0079-7421(08)00002-9
Google Scholar | Crossref | ISI
de Ayala, R. J . (2009). The theory and practice of item response theory. New York, NY: Guilford Press.
Google Scholar
DeVellis, R. F. (2012). Scale development: Theory and applications (3rd ed.). Thousand Oaks, CA: SAGE.
Google Scholar
Eckes, T. (2011). Item banking for C-tests: A polytomous Rasch modeling approach. Psychological Test and Assessment Modeling, 53, 414-439.
Google Scholar
Embretson, S. E. (1996). Item response theory models and spurious interaction effects in factorial ANOVA designs. Applied Psychological Measurement, 20, 201-212. doi:10.1177/014662169602000302
Google Scholar | SAGE Journals | ISI
Hackett, G., Betz, N. E. (1989). An exploration of the mathematics self-efficacy/mathematics performance correspondence. Journal for Research in Mathematics Education, 20, 261-273. Retrieved from http://www.nctm.org/publications/toc.aspx?jrnl=jrme
Google Scholar
Hagquist, C., Bruce, M., Gustavsson, J. P. (2009). Using the Rasch model in nursing research: An introduction and illustrative example. International Journal of Nursing Studies, 46, 380-393. doi:10.1016/j.ijnurstu.2008.10.007
Google Scholar | Crossref | Medline | ISI
Kan, A. (2009). Effect of scale response format on psychometric properties in teaching self-efficacy. Egitim Arastirmalari-Eurasian Journal of Educational Research, 34, 215-228. Retrieved from http://www.ejer.com.tr/index.php
Google Scholar
Kang, S.-M., Waller, N. G. (2005). Moderate multiple regression, spurious interaction effects and IRT. Applied Psychological Measurement, 29, 87-105. doi:10.1177/0146621604272737
Google Scholar | SAGE Journals | ISI
Klassen, R. M., Usher, E. L. (2010). Self-efficacy in educational settings: Recent research and emerging directions. In Urdan, T. C., Karabenick, S. A. (Eds.), ADVANCES IN MOTIVATION AND ACHIEVEMENT: Vol. 16A. The decade ahead: Theoretical perspectives on motivation and achievement (pp. 1-33). Bingley, UK: Emerald.
Google Scholar | Crossref
Linacre, J. M. (2002). Optimizing rating scale category effectiveness. Journal of Applied Measurement, 3(1), 85-106. Available from http://www.jampress.org/
Google Scholar
Linacre, J. M. (2003). Data variance: Explained, modeled, and empirical. Rasch Measurement Transactions, 17, 942-943. Retrieved from http://www.rasch.org/rmt/rmt173g.htm
Google Scholar
Linacre, J. M. (2009). A user’s guide to Winsteps, Ministep, Rasch-model computer programs: Program manual 3.72.3. Retrieved from http://www.winsteps.com/a/winsteps-manual.pdf
Google Scholar
Linacre, J. M. (2011). Winsteps (Version 3.72.0) [Computer Software]. Beaverton, OR: Winsteps.com. Available from http://www.winsteps.com/
Google Scholar
Lozano, L. M., Garciá-Cueto, E., Muñiz, J. (2008). Effect of number of response categories on the reliability and validity of rating scales. Methodology, 4, 73-79. doi:10.1027/1614-2241.4.2.73
Google Scholar | Crossref
Maurer, T. J., Pierce, H. R. (1998). A comparison of Likert scale and traditional measures of self-efficacy. Journal of Applied Psychology, 83, 324-329. doi:10.1037/0021-9010.83.2.324
Google Scholar | Crossref | ISI
Morony, S., Kleitman, S., Lee, Y. P., Stankov, L. (2013). Predicting achievement: Confidence vs self-efficacy, anxiety, and self-concept in Confucian and European countries. International Journal of Educational Research, 58, 79-96.
Google Scholar | Crossref | ISI
Müller, H. (1987). A Rasch model for continuous ratings. Psychometrika, 52, 165-181.
Google Scholar | Crossref | ISI
National Council of Teachers of Mathematics . (2000). Principles and standards for school mathematics: E-standards. Available from http://standards.nctm.org
Google Scholar
Pajares, F., Barich, J. (2005). Assessing self-efficacy: Are skills-specific measures better than domain specific measures? Psychology, 12, 334-348.
Google Scholar
Pajares, F., Graham, L. (1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24, 124-139. doi:10.1006/ceps.1998.0991
Google Scholar | Crossref | Medline | ISI
Pajares, F., Hartley, J., Valiante, G. (2001). Response format in writing self-efficacy assessment: Greater discrimination increases prediction. Measurement and Evaluation in Counseling and Development, 33, 214-221. Available from http://mec.sagepub.com/
Google Scholar
Pajares, F., Miller, M. D. (1995). Mathematics self-efficacy and mathematics outcomes: The need for specificity of assessment. Journal of Counseling Psychology, 42, 190-198. doi:10.1037/0022-0167.42.2.190
Google Scholar | Crossref | ISI
Pintrich, P. R., De Groot, E. V. (1990). Motivational and self-regulated learning components of classroom academic performance. Journal of Educational Psychology, 82, 33-40. doi:10.1037/0022-0663.82.1.33
Google Scholar | Crossref | ISI
Schneider, W. (2008). Children and adolescents: Major trends and implications for education. Mind, Brain, and Education, 2, 114-121. doi:10.1111/j.1751-228X.2008.00041.x
Google Scholar | Crossref | ISI
Schraw, G. (2009). A conceptual analysis of five measures of metacognitive monitoring. Metacognition and Learning, 4, 33-45.
Google Scholar | Crossref | ISI
Schunk, D. H., Pajares, F. (2005). Competence beliefs in academic functioning. In Elliot, A. J., Dweck, C. (Eds.), Handbook of competence and motivation (pp. 85-104). New York, NY: Guilford Press.
Google Scholar
Smith, E. V., Wakely, M. B., De Kruif, R. E. L., Swartz, C. W. (2003). Optimizing rating scales for self-efficacy (and other) research. Educational and Psychological Measurement, 63, 369-391. doi:10.1177/0013164403251320
Google Scholar | SAGE Journals | ISI
Smith, R. M. (1996). Polytomous mean-square fit statistics. Rasch Measurement Transactions, 10, 516-517. Retrieved from http://www.rasch.org/rmt/
Google Scholar
Smith, R. M. (2000). Fit analysis in latent trait measurement models. Journal of Applied Measurement, 1, 199-218. Available from http://www.jampress.org/
Google Scholar
Toland, M. D. (2014). Practical guide to conducting an item response theory analysis. The Journal of Early Adolescence, 34, 120-151. doi:10.1177/0272431613511332
Google Scholar | SAGE Journals | ISI
Usher, E. L., Pajares, F. (2009). Sources of self-efficacy in mathematics: A validation study. Contemporary Educational Psychology, 34, 89-101. doi:10.1016/j.cedpsych.2008.09.002
Google Scholar | Crossref | ISI
Weil, L. G., Fleming, S. M., Dumontheil, I., Kilford, E. J., Weil, R. S., Rees, G., . . .Blakemore, S.-J. (2013). The development of metacognitive ability in adolescence. Consciousness and Cognition, 22, 264-271.
Google Scholar | Crossref | Medline | ISI
Wright, B. D., Linacre, J. M. (1992). Combining and splitting categories. Rasch Measurement Transactions, 6, 233-235. Retrieved from http://www.rasch.org/rmt/contents.htm
Google Scholar
Wright, B. D., Stone, M. H. (1999). Measurement essentials (2nd ed.). Wilmington, DE: Wide Range.
Google Scholar
View access options

My Account

Welcome
You do not have access to this content.



Chinese Institutions / 中国用户

Click the button below for the full-text content

请点击以下获取该全文

Institutional Access

does not have access to this content.

Purchase Content

24 hours online access to download content

Your Access Options


Purchase

JEA-article-ppv for $36.00

Article available in: