Abstract
This article is based on one of the several case studies of recent graduates of a teacher education programme that is founded upon inquiry-based, field-oriented and learner-focussed principles and practices and that is centrally concerned with shaping teachers who can enact strong inquiry-based practices in Kindergarten to Grade 12 classrooms. The analysis draws on interviews with one graduate, and on video data collected in his multi-aged Grade 1/2 classroom, to explore some of the ways in which this new teacher enacted inquiry-based teaching approaches in his first year of teaching and to consider his capacity to communicate his understanding of inquiry. This article presents implications for beginning teachers’ collaborative practices, for the assessment of new teachers and for practices in preservice teacher education.
This is a preview of subscription content, access via your institution.
Notes
All the names (beginning teacher and school students) used in this article are pseudonyms.
As the research reported here spanned a period of time covering the participant’s experiences in preservice teacher education and in his first year of teaching, I use the term ‘prospective teacher’ to refer to the experiences of the participant during his preservice teacher preparation programme, and the term ‘beginning teacher’ to refer to his experiences in a school classroom as a full-fledged teacher.
Continuing longitudinal research with Daniel and the other graduates is revealing that despite challenging contexts in which these graduates have been called upon to practice in their beginning years and despite sometimes implicit and/or explicit rejection of their ideas by more experienced colleagues around them in the schools, their frame of reference for judging how to act in relation to their students has continued to be the phronetic philosophy of the programme. Publications detailing these findings are currently in process.
The first session was not videotaped so that prospective teachers had time to understand the purposes and methods of the study and make informed choices about whether to participate in the research.
The three beginning teachers were ‘chosen’ for accessibility reasons rather than because they had shown particular skills in, or understanding of, inquiry-based practice. For instance, though some beginning teachers volunteered to be videotaped in their first-year classrooms, their school principals would not allow the research to proceed (citing it as too much pressure for a beginning teacher). In addition, I was unable to include in the school-based component of the research those volunteers who accepted teaching positions in remote locations in distant provinces as well as those who did not gain a full-time teaching contract until after the school-based research component had begun.
References
Alberta Learning. (2004). Focus on inquiry: A teacher’s guide to implementing inquiry-based learning. Edmonton, AB: Alberta Learning, Learning and Teaching Resources Branch.
Allen, J. (2009). Valuing practice over theory: How beginning teachers re-orient their practice in the transition from the university to the workplace. Teaching and Teacher Education, 25(5), 647–654.
Aulls, M. W., & Shore, B. M. (2008). Inquiry in education. Volume I: The conceptual foundations for research as a curricular imperative. New York: Lawrence Erlbaum Associates.
Ball, D. (1990). Breaking with experience in learning to teach mathematics: The role of a preservice methods course. For the Learning of Mathematics, 10(2), 10–16.
Barrett, J. E., Jones, G. A., Mooney, E. S., Thornton, C. A., Cady, J., Olson, J., & Guinee, T. (2002). Understanding novice teachers: Contrasting cases. In D. S. Mewborn, P. Sztajn, D. Y. White, H. G. Wiegel, R. L. Bryant, & K. Nooney (Eds.), Proceedings of the twenty-fourth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. III, pp. 1417–1425). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education. Eric Document ED471772.
Benjamin, W.-J. (2002, April). Development and validation of student teaching performance assessment based on Danielson’s framework for teaching. Paper presented at the annual meeting of the American Education Research Association. New Orleans, LA. Eric Document ED 471552.
Benke, G., Hospešová, A., & Tichá, M. (2008). The use of action research in teacher education. In K. Krainer & T. Wood (Eds.), The international handbook of mathematics teacher education. Volume 3: Participants in mathematics teacher education. Individuals, teams, communities and networks (pp. 283–308). Rotterdam: Sense Publishers.
Bennett, T., & Jacobs, V. (1998, April). Becoming a teacher of mathematics: The effects of a children’s thinking approach. Paper presented at the annual meeting of the American Educational Research Association. San Diego, CA.
Boaler, J. (1998). Open and closed mathematics: Student experiences and understandings. Journal for Research in Mathematics Education, 29(1), 41–62.
Britt, M., Irwin, K., & Ritchie, G. (2001). Professional conversations and professional growth. Journal of Mathematics Teacher Education, 4(1), 29–53.
Britzman, D. (1991). Practice makes practice: A critical study of learning to teach. Albany, NY: State University of New York Press.
Burn, K., Haggar, H., Mutton, T., & Everton, T. (2000). Beyond concerns with self: The sophisticated thinking of beginning student teachers. Journal of Education for Teaching, 26(3), 259–278.
Chazan, D., & Ball, D. L. (1999). Beyond being told not to tell. For the Learning of Mathematics, 19(2), 2–10.
Coulter, D., & Wiens, J. R. (2002). Educational judgement: Linking the actor and the spectator. Educational Researcher, 31(4), 15–25.
Cuban, L. (1993). How teachers taught: Constancy and change in American classrooms, 1890–1990 (2nd ed.). New York: Teachers College Press.
Darling-Hammond, L., & Bransford, J. (Eds.). (2005). Preparing teachers for a changing world: What teachers should learn and be able to do. San Francisco, CA: Jossey-Bass.
Davis, B. (1994). Mathematics teaching: Moving from telling to listening. Journal of Curriculum and Supervision, 9(3), 267–283.
Dunne, J. (1997). Back to the rough ground. Practical judgment and the lure of technique. Notre Dame, IN: University of Notre Dame Press.
Dunne, J. (2005). An intricate fabric: Understanding the rationality of practice. Pedagogy, Culture and Society, 13(3), 367–389.
Dunne, J., & Pendlebury, S. (2002). Practical reason. In N. Blake, P. Smeyers, R. Smith, & P. Standish (Eds.), The Blackwell guide to the philosophy of education (pp. 194–211). Oxford, UK: Blackwell.
Ensor, P. (2001). From preservice mathematics teacher education to beginning teaching: A study in recontextualizing. Journal for Research in Mathematics Education, 32(3), 296–320.
Flyvbjerg, B. (2001). Making social science matter: Why social inquiry fails and how it can succeed again. Cambridge, UK: Cambridge University Press.
Fuller, F. (1969). Concerns of teachers: A developmental conceptualization. American Educational Research Journal, 6(2), 207–226.
Gadamer, H.-G. (1989). Truth and method (2nd revised ed.). New York: Continuum.
Government of Alberta. (1997). Directive 4.2.1—Teaching Quality Standard applicable to the provision of basic education in Alberta. Section 4 Ministerial Orders and Directives. K-12 Learning system policy, regulations and forms manual. Edmonton, AB: Government of Alberta. Accessed July 1, 2009, from http://education.alberta.ca/department/policy/standards/teachqual.aspx
Hayes, M. (2002). Elementary preservice teachers’ struggles to define inquiry-based science teaching. Journal of Science Teacher Education, 13(2), 147–165.
Herbel-Eisenmann, B. A., Lubienski, S. T., & Id-Deen, L. (2006). Reconsidering the study of mathematics instructional practices: The importance of curricular context in understanding local and global teacher change. Journal of Mathematics Teacher Education, 9(4), 313–345.
Hickey, D. T., Moore, A. L., & Pellegrino, J. W. (2001). The motivational and academic consequences of elementary mathematics environments: Do constructivist innovations and reforms make a difference? American Educational Research Journal, 38(3), 611–652.
Hiebert, J., & Stigler, J. (2000). A proposal for improving classroom teaching: Lessons from the TIMSS video study. The Elementary School Journal, 101(1), 2–20.
Jacobs, J. K., Hiebert, J., Givvin, K. B., Hollingsworth, H., Garnier, H., & Wearne, D. (2006). Does eighth-grade mathematics teaching in the United States align with the NCTM standards? Results from the TIMSS 1995 and 1999 video studies. Journal for Research in Mathematics Education, 37(1), 5–32.
Kennedy, M. (1997). The connection between research and practice. Educational Researcher, 26(7), 4–12.
Kluth, P., & Straut, D. (2003). Do as we say and as we do. Teaching and modelling collaborative practice in the university classroom. Journal of Teacher Education, 54(3), 228–240.
Krainer, K., & Wood, T. (Eds.). (2008). The international handbook of mathematics teacher education. Volume 3: Participants in mathematics teacher education. Individuals, teams, communities and networks. Rotterdam: Sense Publishers.
Lampert, M. (2001). Teaching problems and the problems of teaching. New Haven, CT: Yale University Press.
Lampert, M., & Ball, D. L. (1998). Teaching, multimedia, and mathematics. Investigations of real practice. New York: Teachers College Press.
Lobato, J., Clarke, D., & Ellis, A. B. (2005). Initiating and eliciting in teaching: A reformulation of telling. Journal for Research in Mathematics Education, 36(2), 101–136.
Lund, D., Panayotidis, L., Smits, H., & Towers, J. (2006). Fragmenting narratives: The ethics of narrating difference. Journal of the Canadian Association of Curriculum Studies, 4(1), 1–23.
Maher, C. A. (2002). How students structure their own investigations and educate us: What we’ve learned from a fourteen year study. In A. D. Cockburn & E. Nardi (Eds.), Proceedings of the twenty-sixth annual meeting of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 31–46). Norwich, UK: School of Education and Professional Development, University of East Anglia.
Mertler, C., & Campbell, C. (2005, April). Measuring teachers’ knowledge and application of classroom assessment concepts: Development of the Assessment Literacy Inventory. Paper presented at the annual meeting of the American Educational Research Association. Montreal, Canada. Eric Document 490355.
Moscovici, H., & Holmlund Nelson, T. (1998). Shifting from activitymania to inquiry. Science and Children, 35(4), 14–17.
NCTM. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
Pecheone, R., & Chung, R. (2006). Evidence in teacher education: The performance assessment for California teachers (PACT). Journal of Teacher Education, 57(1), 22–36.
Phelan, A. (2005a). On discernment: The wisdom of practice and the practice of wisdom in teacher education. In G. F. Hoban (Ed.), The missing links in teacher education design: Developing a multi-linked conceptual framework (pp. 57–73). Dordrecht, The Netherlands: Springer.
Phelan, A. (2005b). A fall from (someone else’s) certainty: Recovering practical wisdom in teacher education. Canadian Journal of Education, 28(3), 339–358.
Pinczes, E. (1993). One hundred hungry ants. [Children’s literature]. Boston, MA: Houghton Mifflin.
Plowright, D., & Watkins, M. (2004). There are no problems to be solved, only inquiries to be made, in social work education. Innovations in Education and Teaching International, 41(2), 185–206.
Powell, A. B., Francisco, J. M., & Maher, C. A. (2003). An analytical model for studying the development of learners’ mathematical ideas and reasoning using videotape data. Journal of Mathematical Behavior, 22, 405–435.
Puntambekar, S., Stylianou, A., & Goldstein, J. (2007). Comparing classroom enactments of an inquiry curriculum: Lessons learned from two teachers. Journal of the Learning Sciences, 16(1), 81–130.
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.
Ricoeur, P. (1992). Oneself as another (K. Blamey, Trans.). Chicago: University of Chicago Press.
Shore, B. M., Aulls, M. W., & Delcourt, M. A. B. (2008). Inquiry in education. Volume II: Overcoming barriers to successful implementation. New York: Lawrence Erlbaum Associates.
Smith, J. P. (1996). Efficacy and teaching mathematics by telling: A challenge for reform. Journal for Research in Mathematics Education, 27(4), 387–402.
Smits, H., Towers, J., Panayotidis, E. L., & Lund, D. (2008). Provoking and being provoked by the embodied qualities of learning: Listening, speaking, seeing, and feeling (through) inquiry in teacher education. Journal of the Canadian Association of Curriculum Studies, 6(2), 43–81.
Sullivan, W. M., & Rosin, M. S. (2008). A new agenda for higher education. Shaping a life of the mind for practice. Stanford, CA: The Carnegie Foundation for the Advancement of Teaching.
Towers, J. (1998). Telling tales. Journal of Curriculum Theorizing, 14(3), 29–35.
Towers, J. (2002). Blocking the growth of mathematical understanding: A challenge for teaching. Mathematics Education Research Journal, 14(2), 121–132.
Towers, J. (2007). Using video in teacher education. Canadian Journal of Learning and Technology, 33(2), 97–122.
Towers, J. (2008). Living ethically in the classroom: Enacting and sustaining inquiry. Journal of Educational Thought, 42(3), 277–292.
Towers, J., & Davis, B. (2002). Structuring occasions. Educational Studies in Mathematics, 49(3), 313–340.
Wall, J. (2003). Phronesis, poetics, and moral creativity. Ethical Theory and Moral Practice, 6, 317–341.
Watzke, J. L. (2007). Longitudinal research on beginning teacher development: Complexity as a challenge to concerns-based stage theory. Teaching and Teacher Education, 23, 106–122.
Whitehead, A. N. (1929). The aims of education and other essays. New York: Macmillan.
Wilson, M., & Goldenberg, M. P. (1998). Some conceptions are difficult to change: One middle school mathematics teacher’s struggle. Journal of Mathematics Teacher Education, 1(3), 269–293.
Acknowledgement
The research study described here was funded by the Alberta Advisory Committee for Educational Research.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Towers, J. Learning to teach mathematics through inquiry: a focus on the relationship between describing and enacting inquiry-oriented teaching. J Math Teacher Educ 13, 243–263 (2010). https://doi.org/10.1007/s10857-009-9137-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10857-009-9137-9
Keywords
- Inquiry-based learning and teaching
- Beginning teachers
- Communicating beliefs