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Surveying primary teachers about compulsory numeracy testing: Combining factor analysis with rasch analysis

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Abstract

This paper reports the use of several quantitative analytic methods, including Rasch analysis, to re-examine teacher responses to questionnaire items probing opinions related to the compulsory numeracy tests conducted in Years 3, 5, and 7 in Queensland, Australia. Nisbet and Grimbeek (2004) previously reported an interpretable and statistically acceptable 6-factor exploratory factor solution. The present paper improved on this outcome by utilising Rasch analysis to identify items with orderly sequences of scores across response categories, and to subject these to fresh exploratory and confirmatory factor analysis. The resulting 3-factor scale proved acceptable in terms of exploratory and confirmatory factor analysis as well as in terms of Rasch item analysis. The paper briefly discusses the implications of these outcomes in relation to the refined instrument’s capacity to gather information about how teachers view the Queensland numeracy reporting system.

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References

  • Arbuckle, J.L. (1999). Amos (Version 4.01) [Computer Software]. Chicago: Smallwaters.

    Google Scholar 

  • Australian Education Council. (1994a).Mathematics work samples. Melbourne: Curriculum Corporation.

    Google Scholar 

  • Australian Education Council. (1994b).Student performance standards in mathematics for Queensland schools. Melbourne: Curriculum Corporation.

    Google Scholar 

  • Bond, T. G., & Fox, C. M. (2001).Applying the Rasch model: Fundamental measurement in the human sciences. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Byrne, B. M. (2001).Structural equation modeling with AMOS. London: Lawrence Erlbaum.

    Google Scholar 

  • Clarke, D. J. (1988). Realistic assessment. In D. Firth (Ed.),Maths counts — who cares? (pp. 187–192). Melbourne: Mathematical Association of Victoria.

    Google Scholar 

  • Clarke, D. J., & Peter, A. (1993). Modelling teacher change. In B. Atweh, C. Kanes, M. Carss, & G. Booker (Eds.),Contexts in Mathematics Education. (Proceedings of the Sixteenth Annual Conference of the Mathematics Education Research Group of Australasia, pp. 167–175.). Brisbane: MERGA.

    Google Scholar 

  • Department of Education, Training and Youth Affairs. (2000).Numeracy, a priority for all. Canberra: Commonwealth of Australia.

    Google Scholar 

  • Fullan, M. (1982).The meaning of educational change. New York: Teachers College Press.

    Google Scholar 

  • Grimbeek, P., Bryer, F., Beamish, W., & D’Netto, M. (2005). Use of data collapsing strategies to identify latent variables in questionnaire data: Strategic management of junior and middle school data on the CHP questionnaire.Proceedings of the 3rd. Annual International Conference on Cognition, Language and Special Education, Gold Coast, QLD.: Griffith University.

    Google Scholar 

  • Guskey, T. (1985). Staff development and teacher change.Educational Leadership, 42, 57–60.

    Google Scholar 

  • Linacre, J.M. (2004). WINSTEPS Rasch measurement computer program (Version 3.53) [Computer software]. Chicago: Winsteps.com.

    Google Scholar 

  • Michell, J. (1999).Measurement in Psychology: A critical history of a methodological concept. United Kingdom: Cambridge University Press.

    Book  Google Scholar 

  • Nisbet, S., & Grimbeek, P. (2004). Primary teachers’ beliefs and practices with respect to compulsory numeracy testing. In I. Putt, R. Faragher, & M. McLean (Eds.),Mathematics education for the third millennium: Towards 2010. (Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia, Townsville, Vol. 2, pp. 406–413). Sydney: MERGA.

    Google Scholar 

  • Nisbet, S., & Warren, E. (1999). The effects of a diagnostic assessment system on the teaching of mathematics in the primary school. In O. Zaslavsky (Ed.),Proceedings of the 23rd Annual Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 337–344). Haifa, Israel: PME.

    Google Scholar 

  • Nisbet, S., Dole, S. & Warren, E. (1997). Cooperative professional development for mathematics teachers: A case study. In F. Biddulph & K. Carr (Eds.),People in mathematics education. (Proceedings of the 20th Annual Conference of Mathematics Education Research Group of Australasia, Vol. 2, pp. 369–375). Rotorua: MERGA.

    Google Scholar 

  • Queensland School Curriculum Council. (1999).Review of Queensland literacy and numeracy testing programs, 1995–1999: Issues paper. Brisbane: Queensland School Curriculum Council.

    Google Scholar 

  • Queensland Schools Curriculum Council. (1996).The Year 2 Diagnostic Net handbook for schools — Shaping the future. Brisbane: The Queensland Government Press.

    Google Scholar 

  • Smith, R.M., Schumacker, R.E., & Bush, M. (1998). Using item mean squares to evaluate fit to the Rasch model.Journal of Outcome Measurement, 2, 66–78.

    Google Scholar 

  • SPSS (2004). SPSS for Windows [Computer Software]. Chicago IL: SPSS.

    Google Scholar 

  • Willis, S. (1998). Which numeracy?Unicorn, 24, 32–42.

    Google Scholar 

  • Wiltshire, K., McMeniman, M., & Tolhurst, T. (1994).Shaping the future: Review of the Queensland School Curriculum. Brisbane: Queensland Legislative Assembly.

    Google Scholar 

  • Wright, B. D., & Linacre, J. M. (1994). Reasonable mean-square fit values.Rasch Measurement Transactions, 6, 205.

    Google Scholar 

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Grimbeek, P., Nisbet, S. Surveying primary teachers about compulsory numeracy testing: Combining factor analysis with rasch analysis. Math Ed Res J 18, 27–39 (2006). https://doi.org/10.1007/BF03217434

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