Secondary mathematics teachers’ beliefs about mathematics assessment and components that influence these beliefs

Authors

  • Anastasios N. Barkatsas
  • John A. Malone

DOI:

https://doi.org/10.7146/nomad.v10i2.147161

Abstract

The espoused beliefs of 465 secondary mathematics teachers regarding mathematics assessment are the focus of this study. The data for this investigation were collected using a 19 items questionnaire. There is evidence from this study that there are teachers who espouse a ’socio-constructivist’ orientation to mathematics assessment, teachers who espouse a ’problem solving’ orientation to mathematics assessment and teachers who espouse an ’accountability’ orientation to mathematics assessment.

References

Barkatsas, A.N. & Malone, J.A. (2005). A typology of mathematics teachers' beliefs about teaching and learning mathematics and instructional practices. Mathematics Education Research Journal (Special Issue), 17 (2), 69-90. https://doi.org/10.1007/BF03217416

Berger, P. (1999). The hidden dimensions in maths teaching and learning processes. Exploring entrenched beliefs, tacit knowledge, and ritual behaviour via metaphors. In G. Philippou (Ed.), Research on mathematical beliefs. MAVI-8 proceedings. Eight European workshop. Nicosia: University of Cyprus.

Berger, P. (2000). Multiple realities and the making of worlds. A multi- perspective approach to mathematical belief systems. In S. Gotz & G Torner (Eds.), Research on mathematical beliefs. Proceedings of MAVI-9 European workshop. University of Vienna, Austria.

Bromme, R. (1994). Beyond subject matter: A psychological topology of teachers' professional knowledge. In R. Biehler, R. W. Scholtz, R Straver & R Winkelmann (Eds.), Didactics of mathematics as a scientific discipline (pp. 73-88). Dordrecht: Kluwer.

Clarke, D. J. & Stephens, W. M. (1996). The ripple effect: the instructional impact of the systemic introduction of performance assessment in mathematics. In M. Birenbaum & F. Dochy (Eds.), Alternatives in assessment of achievements, learning processes and prior knowledge (pp. 63-92). Dordrecht: Kluwer. https://doi.org/10.1007/978-94-011-0657-3_3

Clarke, D. J. (1996). Assessment in mathematics. In A. J. Bishop (Ed.), International handbook of mathematics education (pp. 327-370). Dordrecht: Kluwer.

Coakes S. J. & Steed L. G. (1999). SPSS: Analysis without anguish. Brisbane: John Wiley and Sons.

Cooney, T. J. (1999). Conceptualizing teachers' ways of knowing. Educational Studies in Mathematics, 38, 163-187. https://doi.org/10.1023/A:1003504816467

Ernest, P. (1994). The philosophy of mathematics and the didactics of mathematics. In R. Biehler, R. W. Scholtz, R Straver & R Winkelmann (Eds.), Didactics of mathematics as a scientific discipline (pp. 335-349). Dordrecht: Kluwer.

Green, T. (1971). The activities of teaching. New York: McGraw-Hill.

Hollingworth, S. (1989). Prior beliefs and cognitive change in learning to teach. American Educational Research Journal, 26, 160-189. https://doi.org/10.3102/00028312026002160

Hofer, B. K. & Pintrich, P. R. (1997). The development of epistemological theories: beliefs about the knowledge and knowing and their relation to learning. Review of Educational Research, 67 (1), pp. 88-140. https://doi.org/10.3102/00346543067001088

Leder, G. C., Pehkonen, E., & Törner, G. (Eds.) (2002). Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer. https://doi.org/10.1007/0-306-47958-3

McLeod, D. B. (1992). Research on affect in mathematics education: a reconceptualisation. In D. A. Grouws (ed.), Handbook of research on mathematics teaching and learning (pp. 575-596). New York: MacMillan.

National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

National Council of Teachers of Mathematics (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.

Nespor, J. (1987). The role of beliefs in the practice of teaching. Journal of Curriculum Studies, 19, 317-328. https://doi.org/10.1080/0022027870190403

Nisbett, S., & Warren, E. (2000). Primary school teachers' beliefs relating to mathematics, teaching and assessing mathematics and components that influence these beliefs. Mathematics Teacher Education and Development, 2, 34-47.

Pajares, M. F. (1992). Teachers' beliefs and educational research: cleaning up a messy construct. Review of Educational Research, 62 (3), 307-322. https://doi.org/10.3102/00346543062003307

Rokeach, M. (1960). The open and closed mind. New York: Basic Books.

Shephard, L. (2000). The role of classroom assessment in teaching and learning (CSE Technical Report 517). CRESST.

Shulman, L. S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15, 4-14. https://doi.org/10.2307/1175860

Tabachnick, B. G. & Fidell, L.S. (1996). Using multivariate statistics (3rd ed.). New York: Harper Collins.

Thompson, A. G. (1992). Teachers' beliefs and conceptions: a synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127-146). New York: Macmillan Publishing Co.

Published

2005-06-10

How to Cite

Barkatsas, A. N., & Malone, J. A. (2005). Secondary mathematics teachers’ beliefs about mathematics assessment and components that influence these beliefs. NOMAD Nordic Studies in Mathematics Education, 10(2), 35–60. https://doi.org/10.7146/nomad.v10i2.147161

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Section

Articles