Abstract
Very early in my career as a mathematics teacher educator, I realized that the prospective teachers and I were marching to a different tune, and tensions existed that needed to be addressed. These tensions included differences between their beliefs about mathematics teaching and my beliefs, issues that arose as they negotiated their way through practicum with newly formed ideas about teaching, and tensions that I felt about how to help them work through their first year of teaching. This chapter explores these tensions and how we dealt with them by including explicit modelling of the teaching techniques I was advocating, especially group work; using the topics that might be problematic for classroom students as a basis of the workshops; establishing mentoring support within the cohort before they finished their university course; and once they started teaching, holding Saturday afternoon debriefs early in each term of their first year of teaching.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adler, J. (1998). Lights and limits: Recontextualising Lave and Wenger to theorise knowledge of teaching and of learning school mathematics. In A. Watson (Ed.), Situated cognition and the learning of mathematics (pp. 161–177). Oxford: Centre for Mathematics Education Research.
Ball, D. L. (1988). Unlearning to teach mathematics. For the Learning of Mathematics, 8(1), 40–48.
Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90(4), 449–466.
Ball, D. L. (2000). Bridging practices: Intertwining content and pedagogy in teaching and learning how to teach. Journal of Teacher Education, 51, 214–247.
Ball, D. L., Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching. American Educator, Fall, 14–17.
Bright, G. W., & Vacc, N. N. (1994). Changes in undergraduate preservice teachers’ beliefs during an elementary teacher certification program. New Orleans, LA: Paper presented at the annual meeting of the American Educational Research Association.
Brookhart, S. M., & Freeman, D. J. (1992). Characteristics of entering teacher candidates. Review of Educational Research, 62(1), 37–60.
Brown, C., & Borko, H. (1992). Becoming a mathematics teacher. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 209–239). New York: Macmillan.
Cavanagh, M., & Prescott, A. (2007). Professional experience in learning to teach secondary mathematics: Incorporating pre-service teachers into a community of practice. In J. Watson & K. Beswick (Eds.), Mathematics: Essential research, essential practice (Vol. 1, pp. 182–191). Proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia. Adelaide, SA: MERGA.
Cooney, T. J., Shealy, B. E., & Arvold, B. (1998). Conceptualizing belief structures of preservice secondary mathematics teachers. Journal for Research in Mathematics Education, 29(3), 306–333.
Crawford, K., Gordon, S., Nicholas, J., & Prosser, M. (1994). Conceptions of mathematics and how it is learned: The perspectives of students entering university. Learning and Instruction, 4, 331–345.
Graber, K. (1996). Influencing student beliefs: The design of a “high-impact” teacher education program. Teaching and Teacher Education, 12, 451–466.
Even, R., & Lappan, G. (1994). Constructing meaningful understanding of mathematics content. In D. B. Aichele & A. F. Coxford (Eds.), Professional development for teachers of mathematics. Reston, VA: NCTM.
Foss, D. H., & Kleinsasser, R. C. (1996). Preservice elementary teachers’ views of pedagogical and mathematical content knowledge. Teaching and Teacher Education, 12(4), 429–442.
Franke, M. L., & Kazemi, E. (2001). Teaching as learning within a community of practice: Characterizing generative growth. In T. Wood, B. Scott Nelson, & J. Warfield (Eds.), Beyond classical pedagogy: Teaching elementary school mathematics: The nature of facilitative change (pp. 47–74). Mahwah, NJ: Lawrence Erlbaum.
Gould, P. (2004). The language of working mathematically. Scan, 23(1), 4–7.
Goulding, M., & Suggate, J. (2001). Opening a can of worms: Investigating primary teacher’s subject knowledge in mathematics. Mathematics Education Review, 13(March), 41–54.
Graber, K. (1996). Influencing student beliefs: The design of a “high-impact” teacher education program. Teaching and Teacher Education, 12, 451–466.
Hammerness, K. (2006). From coherence in theory to coherence in practice. Teachers College Record, 108(7), 1241–1265.
Jaworski, B., & Gellert, U. (2003). Educating new mathematics teachers: Integrating theory and practice, and the roles of practising teachers. In A. Bishop, M. Clements, C. Keitel, J. Kilpatrick, & F. Leung (Eds.), Second international handbook of mathematics education (pp. 823–876). Dordrecht, the Netherlands: Kluwer Academic Publishers.
Johnston, B. (2003). From catechism to critical literacy: Figuring out a challenging numeracy. Fine Print, 26(2), 9–15.
Kagan, D. M. (1992). Professional growth among preservice and beginning teachers. Review of Educational Research, 62(2), 129–169.
Kahan, J. A., Cooper, D. A., & Bethea, K. A. (2003). The role of mathematics teachers’ content knowledge in their teaching: A framework for research applied to a study of student teachers. Journal of Mathematics Teacher Education, 6, 223–252.
Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge, MA: Cambridge University Press.
Lim-Teo, S. K., Chua, K. G., Cheang, W. K., & Yeo, J. K. (2007). The development of diploma in education student teachers’ mathematics pedagogical content knowledge. International Journal of Science and Mathematics Education, 5, 237–261.
Lomas, G. (2009). Pre-service primary teacher perceptions of mathematics lecturers’ practice: Identifying issues for curriculum development. Mathematics Teacher Education and Development, 11, 4–21.
Lortie, D. C. (1975). Schoolteacher: A sociological study. Chicago, IL: University of Chicago Press.
Loughran, J., Brown, J., & Doecke, B. (2001). Continuities and discontinuities: The transition from pre-service to first-year teaching. Teachers and Teaching: Theory and Practice, 7(1), 7–23.
McGinnis, J. R., Watanabe, T., & McDuffie, R. (2005). University mathematics and science faculty modeling their understanding of reform based instruction in a teacher preparation program: Voices of faculty and teacher candidates. International Journal of Science and Mathematics Education, 3(3), 407–428.
McMahon Giles, R., & Moore, A. L. (2006). Teacher educators return to the classroom. Teachers College Record, August 17, 2006. ID Number: 12673.
Mewborn, D. (2001). Teachers content knowledge, teacher education, and their effects on the preparation of elementary teachers in the United States. Mathematics Education Research Journal, 3, 28–36.
NSW Board of Studies. (2003). Years 7–10 Mathematics Syllabus NSW. Sydney: NSW Board of Studies.
Nisbet, S., & Warren, E. (2000). Primary schools teachers’ beliefs relating to mathematics, teaching and assessing mathematics and factors that influence those beliefs. Mathematics Teacher Education and Development, 2, 34–47.
Nyaumwe, L. (2004). The impact of full time student teaching on preservice teachers’ conceptions of mathematics teaching and learning. Mathematics Teacher Education and Development, 6, 23–36.
Posner, G. J., Strike, K. A., Hewson, P. W., & Gertzog, W. A. (1982). Accommodation of a scientific conception: Toward a theory of conceptual change. Cognition and Instruction, 66, 211–227.
Prescott, A., & Cavanagh, M. (2006). An investigation of pre-service secondary mathematics teachers’ beliefs as they begin their teacher training. In P. Grootenboer, R. Zevenbergen, & M. Chinnappan (Eds.), Identities, cultures and learning spaces (Vol. 2, pp. 424–431). Proceedings of the 29th annual conference of the Mathematics Education Research Group of Australasia. Adelaide, SA: MERGA.
Prescott, A., & Cavanagh, M. (2008). A situated perspective on learning to teach mathematics. Paper presented at the Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia, Brisbane.
Reid, A., Wood, L. N., Smith, G. H., & Petocz, P. (2005). Intention, approach and outcome: University Mathematics students’ conceptions of learning Mathematics. International Journal of Science and mathematics Education, 3, 567–586.
Richardson, P. W., & Watt, H. M. G. (2006). Who chooses teaching and why? Profiling characteristics and motivations across three Australian universities. Asia-Pacific Journal of Teacher Education, 34(1), 27–56.
Russell, T., McPherson, S., & Martin, A. K. (2001). Coherence and collaboration in teacher education reform. Canadian Journal of Education, 26(1), 37–55.
Schön, D. (1983). The reflective practitioner: How professionals think in action. New York: Basic Books.
Schuck, S., & Foley, G. (1999). Viewing mathematics in new ways: Can electronic learning communities assist? Mathematics Teacher Education and Development, 1, 22–37.
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15, 4–14.
Skemp, R. R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20–26.
Stacey, K. (2003). The need to increase attention to mathematical reasoning. In H. Hollingsworth, J. Lokan, & B. McCrae (Eds.), Teaching mathematics in Australia: Results from the TIMSS 1999 Video Study. Melbourne. VIC: Australian Council for Educational Research.
Stacey, K., Helme, S., Steinle, V., Baturo, A., Irwin, K., & Bana, J. (2001). Preservice teachers’ knowledge of difficulties in decimal numeration. Journal of Mathematics Teacher Education, 4, 205–225.
Stein, M. K., & Lane, S. (1996). Instructional tasks and the development of student capacity to think and reason: An analysis of the relationship between teaching and learning in a reform mathematics project. Educational Research and Evaluation, 2(1), 50–80.
Szydlik, J. E., Szydlik, S. D., & Benson, S. R. (2003). Exploring changes in pre-service elementary teachers’ mathematical beliefs. Journal of Mathematics Teacher Education, 6, 253–279.
Vincent, J., & Stacey, K. (2008). Do mathematics textbooks cultivate shallow teaching? Applying the TIMSS video study criteria to Australian eighth-grade mathematics textbooks. Mathematics Education Research Journal, 20(1), 82–107.
Waghorn, A., & Stevens, K. (1996). Communication between theory and practice: How student teachers develop theories of teaching. Australian Journal of Teacher Education, 21(2), 70–80.
Wenger, E. (1998). Communities of practice: Learning, meaning and identity. Cambridge, MA: Cambridge University Press.
Wilson, M., & Cooney, T. J. (2000). Mathematics teacher change and development. The role of beliefs. In G. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematical education? (pp. 127–148). Dordrecht: Kluwer Academic Publishers.
Zeichner, K. (2005). Becoming a teacher educator: A personal perspective. Teaching and Teacher Education, 21, 117–124.
Zeichner, K., & Tabachnick, B. (1981). Are the effects of university teacher education ‘washed out’ by school experience? Journal of Teacher Education, 32(3), 7–11.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Prescott, A. (2011). Are We Singing from the Same Songbook?. In: Schuck, S., Pereira, P. (eds) What Counts in Teaching Mathematics. Self Study of Teaching and Teacher Education Practices, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0461-9_11
Download citation
DOI: https://doi.org/10.1007/978-94-007-0461-9_11
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0460-2
Online ISBN: 978-94-007-0461-9
eBook Packages: Humanities, Social Sciences and LawEducation (R0)