Abstract
The primary purposes of the study reported here were to investigate Greek mathematics teachers’ beliefs regarding the nature of mathematics and mathematics teaching and learning, and to explore the various links between these beliefs and instructional practice. Two orientations that are characteristic of secondary mathematics teachers’ beliefs were identified: A contemporary — constructivist orientation, and a traditional — transmission — information processing orientation. A case study of a veteran teacher demonstrated that classrooms can be complex sites of political, historical, social and cultural influences, and that the teacher’s beliefs about mathematics learning and teaching were less traditional than her actual teaching practice.
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Askew, M., Brown, M., Rhodes, V., Johnson, D., & Wiliam, D. (1997).Effective teachers of numeracy, Final report. Report of a study carried out for the Teacher Training Agency 1995–96 by the School of Education, King’s College London.
Barkatsas, A. (2003).Secondary mathematics teachers’ beliefs about teaching, learning and assessment and factors that influence these beliefs. Unpublished Ph.D. Thesis. Curtin University of Technology.
Buzeika, A. (1996). Teachers’ beliefs and practice: The chicken or the egg? In P. C. Clarkson (Ed.),Technology in mathematics education (Proceedings of the 19th annual conference of the Mathematics Education Research Group of Australasia, pp. 93–100). Melbourne: MERGA.
Cooney, T. J., Shealy, B. E., & Arvold, B. (1998). Conceptualising belief structures of preservice secondary mathematics teachers.Journal for Research in Mathematics Education, 29(3), 306–333.
Cooney, T. J. (1999). Conceptualizing teachers’ ways of knowing.Educational Studies in Mathematics, 38, 163–187.
Dewey, J. (1933).How we think: A restatement of the relation of reflective thinking to the educative process. Boston: D. C. Heath.
Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model.Journal of Education for Teaching, 15, 13–34.
Fennema, E., Carpenter, T. P., Franke, M. L., Jacobs, V. R., & Empson, S. B. (1996). A longitudinal study of learning to use children’s thinking in mathematics education.Journal for Research in Mathematics Education, 27(4), 403–434.
Green, T. (1971).The activities of teaching. New York: McGraw-Hill.
Hiebert, J., Gallimore, R., & Stigler, W. (2002). A knowledge base for the teaching profession: What would it look like and how can we get one?Educational Researcher, 31 (5), 3–15.
Hollingworth, S. (1989). Prior beliefs and cognitive change in learning to teach.American Educational Research Journal, 26, 160–189.
Howard, P., Perry, B., & Lindsay, M. (1997). Secondary mathematics teachers’ beliefs about the learning and teaching of mathematics. In F. Biddulph & K. Carr (Eds.),People in mathematics education (Proceedings of the 20th annual conference of the Mathematics Education Group of Australasia, pp. 231–238). Rotorua, NZ: MERGA.
Kuhs, T., & Ball, D. (1986).Approaches to teaching mathematics: Mapping the domains of knowledge, skills and dispositions (Research Memo). Lansing, MI: Centre on Teacher Education, Michigan State University.
Leder, G. C. (1993). Reconciling affective and cognitive aspects of mathematical learning: Reality or a pious hope? In I. Hirabayashi, N. Nohda, K. Shigemathu & F-L. Lin. (Eds.),Proceedings of the 17th conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 46–65). Tsukuba, Ibaraki: University of Tsukuba, Japan.
Leder, G. C., Pehkonen, E., & Törner, G. (Eds.) (2002).Beliefs: A hidden variable in mathematics education? Dordrecht, The Netherlands: Kluwer.
Malone, J. A. (1995). Determining preservice teachers’ beliefs about their role in teaching mathematics. In A. Richards (Ed.),FLAIR: Forging links and integrating resources (Proceedings of the 15th biennial conference of the Australian Association of Mathematics Teachers, pp. 264–269). Darwin: AAMT.
Malone, J. A. (1996). Preservice secondary teachers’ beliefs: Two case studies of emerging and evolving perceptions. In I. Puig & A. Guteriez (Eds.),Proceedings of the 20th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 313–320). Valencia, Spain: PME.
Malone, J. A., Thornton, C. A., Langrall, C. W., & Jones, G. A. (1997). Modyfying preservice teachers’ beliefs about their role in teaching mathematics. In D. Fisher & T. Rickards (Eds.),Science, technology and mathematics education development (pp. 355–363). Perth: Curtin University Press.
McLeod, D. B. (1989). The role of affect in mathematical problem solving. In D. B. McLeod & V. M. Adams (Eds.),Affect and mathematical problem solving: A new perspective (pp. 20–36). New York: Springer-Verlag.
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.
Nespor, J. (1987). The role of beliefs in the practice of teaching.Journal of Curriculum Studies, 19, 317–328.
Nisbet, S., & Warren, E. (2000). Primary school teachers’ beliefs relating to mathematics, teaching and assessing mathematics and factors 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.
Perry, B., Howard, P., & Conroy, J. (1996). K-6 teachers’ beliefs about the learning and teaching of mathematics. In P. C. Clarkson (Ed.),Technology in mathematics education. (Proceedings of the 19th annual conference of the Mathematics Education Group of Australasia, Vol. 1, pp. 453–460). Melbourne: MERGA.
Perry, B., Howard, P., & Tracey, D. (1999). Head mathematics teachers’ beliefs about the learning and teaching of mathematics.Mathematics Education Research Journal, 11(1), 39–57.
Raymond, A. M. (1997). Inconsistency between a beginning elementary school teacher’s mathematics beliefs and teaching practice.Journal for Research in Mathematics Education, 28(5), 550–576.
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.),Handbook of research on mathematics teaching and learning (pp. 334–370). New York: Macmillan.
Schon, D. A. (1983).Educating the reflective practitioner: How professionals think in action. New York: Basic Books.
Shield, M. (1999). The conflict between teachers’ beliefs and classroom practices: Ethnicity and the stereotyping of mathematics. In J. M. Truran & K. M. Truran (Eds.),Making the difference (Proceedings of the 22nd annual conference of the Mathematics Education Group of Australasia, pp. 439–445). Adelaide: MERGA.
Tabachnick, B. G. & Fidell, L.S. (1996).Using Multivariate statistics (3rd ed.). New York: Harper Collins.
Tanner, H., & Jones, S. (1998). Dynamic scaffolding and reflective discourse: Successful teaching styles observed within a project to teach mathematical thinking skills. In C. Kanes, M. Goos, & E. Warren (Eds.),Teaching mathematics in new times. (Proceedings of the 21st annual conference of the Mathematics Education Group of Australasia, Vol. 2, pp. 596–604). Brisbane: MERGA.
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.
Van Zoest, L. R., Jones, G. A., & Thornton, C. A. (1994). Beliefs about mathematics teaching held by pre-service teachers.Mathematics Education Research Journal, 6(1), 37–55.
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(Tasos) Barkatsas, A., Malone, J. A typology of mathematics teachers’ beliefs about teaching and learning mathematics and instructional practices. Math Ed Res J 17, 69–90 (2005). https://doi.org/10.1007/BF03217416
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DOI: https://doi.org/10.1007/BF03217416