### Lived Experiences: Secondary Mathematics Pre-Service Teachers’ Perspectives About Multiple Components of Their Teacher Education Program

#### Abstract

Reform-based approaches to teaching mathematics are proven to be most effective for students’ learning, yet many novice secondary mathematics teachers still use traditional approaches. One reason for this is that novice teachers tend to teach the way that they experienced mathematics as students themselves. There is thus an onus on teacher education programs to provide pre-service teachers (PSTs) with new, reform-based experiences with mathematics in order to positively influence their future teaching practice. Grounded in situated learning theory, this qualitative, exploratory case study examined PSTs’ perceptions and experiences of reform-based approaches in three components of their teacher education program. PSTs shared during interviews that they experienced reform-based approaches in both “student” and “teacher” roles in different ways and to different extents. Findings also highlight the impact that teacher educators have on PSTs’ learning. We conclude by proposing multiple considerations for how teacher education programs can provide opportunities for PSTs to experience reform-based approaches in situated ways.

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Albayrak, M., & Unal, Z. A. (2011). The effect of methods of teaching mathematics course on mathematics teaching efficacy beliefs of elementary pre-service mathematics teachers. International Journal of Humanities and Social Science, 1(16), 183-190.

An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school mathematics teachers in China and the U.S. Journal of Mathematics Teacher Education, 7, 145–172.

Anderson, J. R., Reder, L. M., & Simon, H. A. (1996). Situated learning and education. Educational Researcher, 25(4), 5-11.

Arnold, K-H., Gröschner, A., & Hascher, T. (2014). Pedagogical field experiences in teacher education: Introduction to the research area. In K-H. Arnold, A. Gröschner, & T. Hascher (Eds.) Pedagogical field experiences in teacher education [Schulpraktika in der Lehrerbildung] (pp. 9-26). Waxmann.

Ball, D. L. (1988). Unlearning to teach mathematics. For the Learning of Mathematics, 8(1), 40-48.

Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: what makes it so special? Journal of Teacher Education, 59(5), 389–407.

Baumert, J., Blum, W., Brunner, M., Jordan, A., Klusmann, U., Krauss, S., … Voss, T. (2017). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47(1), 133-180.

Begum, N. N., & Yarmus, R. L. (2013). Field experiences and teacher education programs: What is and what if? Journal of the European Teacher Education Network, 8, 52-61.

Bloomfield, D. (2010). Emotions and ‘getting by’: A pre-service teacher navigating professional experience. Asia-Pacific Journal of Teacher Education, 38(3), 221-234.

Boaler, J. (1998). Open and closed mathematics: Student experiences and understandings. Journal for Research in Mathematics Education, 29(10), 41-62.

Boaler, J. (2002). Exploring the nature of mathematical activity: Using theory, research and “working hypotheses” to broaden conceptions of mathematics knowing. Educational Studies in Mathematics, 51(1-2), 3-21.

Board of Studies, NSW. (2012). Mathematics K- 10. http://syllabus.bos.nsw.edu.au/mathematics/mathematics-k10/

Borko, H., Jacobs, J., Eiteljorg, E., & Pittman, M. E. (2008). Video as a tool for fostering productive discussions in mathematics professional development. Teaching and Teacher Education, 24(2), 417-436.

Borman, K. M., Mueninghoff, E., Cotner, B. A., & Frederick, P. B. (2009). Teacher preparation programs. In L. J. Saha & A. G. Dworkin (Eds.) International handbook of research on teachers and teaching (pp. 123-140). Springer.

Boyd, P. (2014). Using ‘modelling’ to improve the coherence of initial teacher education. In P. Boyd, A. Szplit, & Z. Zbrog (Eds.), Teacher educators and teachers as learners: International perspectives (pp. 51-73). Wydawnictwo Libron.

Broad, K., & Tessaro, M. L. (2009). Voices from the field: Associate teachers and teacher candidates in learning conversations. In T. Falkenberg, T. & H. Smits (Eds.), Field experiences in the context of reform of Canadian teacher education programs (pp. 79-90). Faculty of Education of the University of Manitoba.

Bullough, R. V., Jr, & Gitlin, A. D. (2001). Becoming a student of teaching: Linking knowledge production and practice. Falmer Press.

Clift, R., & Brady, P. (2005). Research on methods courses and field experiences. In M. Cochran-Smith & K. Zeichner (Eds.), Studying teacher education: The report of the AERA panel on research and teacher education (pp. 309-424). American Education Research Association/Lawrence Earlbaum.

Creswell, J. (2013). Educational research: Planning, conducting, and evaluating quantitative and qualitative research (4th ed.). Prentice Hall.

Farrell, T. S., & Ives, J. (2015). Exploring teacher beliefs and classroom practices through reflective practice: A case study. Language Teaching Research, 19(5), 594-610.

Griffiths, V. (2000). The reflective dimension in teacher education. International Journal of Educational Research, 33(5), 539-555.

Grossman, P., Hammerness, K., & McDonald, M. (2009). Redefining teaching, re-imagining teacher education. Teachers and Teaching: Theory and Practice, 15(2), 273-289.

Hobson, A.J., Ashby, P., Maldarez, A., & Tomlinson, P. D. (2009). Mentoring beginning teachers: What we know and what we don’t. Teacher and Teacher Education, 25(1), 207-216.

Hodge, A. M. (2011). The design and benefits of a teaching seminar for pre-service secondary mathematics teachers. PRIMUS, 21(3), 263-273.

Houston, W. R., & Warner, A. R. (2000). Inquiry and reflection: Twin needs for improved teacher education. In D. J. McIntyre & D. M. Byrd (Eds.), Research on effective models for teacher education: Teacher education yearbook VIII (pp. 72-77). Corwin Press.

Hunter, R., Hunter, J., Jorgensen, R., & Choy, B. H. (2016). Innovative and powerful pedagogical practices in mathematics education. In K. Makar, S. Dole, J. Visnovska, M. Goos, A. Bennison, & K. Fry (Eds.), Research in mathematics education in Australasia 2012-2015 (pp. 213-234). Springer.

Kiliç, H. (2011). Preservice secondary mathematics teachers’ knowledge of students. Turkish Online Journal of Qualitative Inquiry, 2(2), 17-35.

Korthagen, F. A. (2010). Situated learning theory and the pedagogy of teacher education: Towards an integrative view of teacher behavior and teacher learning. Teaching and Teacher Education, 26(1), 98-106.

Korthagen, F. A. J., Loughran, J., & Lunenberg, M. (2005). Teaching teachers—studies into the expertise of teacher educators: An introduction to this theme issue. Teaching and Teacher Education, 21(2), 107–115.

Lampert, M., Franke, M. L., Kazemi, E., Ghousseini, H., Turrou, A. C., Beasley, H., … Crowe, K. (2013). Keeping it complex: Using rehearsal to support novice teacher learning of ambitious teaching. Journal of Teacher Education, 64(3), 226-243.

Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge University Press.

Lewis, G. M. (2014). Implementing a reform-oriented pedagogy: Challenges for novice secondary mathematics teachers. Mathematics Education Research Journal, 26(2), 399-419.

Liu, J., & Li, Y. (2010). Mathematics curriculum reform in the Chinese mainland: Changes and challenges. In F. K. S. Leung & Y. Li (Eds.), Reforms and issues in school mathematics in East Asia: Pursuing excellence in mathematics curriculum and teacher education (pp. 9-31). Sense Publishers.

McLellan, H. (1996). Situated learning: Multiple perspectives. In H. McLellan (Ed.), Situated learning perspectives (pp. 5-17). Educational Technology Publications.

Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis (2nd ed.). SAGE Publications.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Author.

Nolan, K. (2012). Dispositions in the field: Viewing mathematics teacher education through the lens of Bourdieu’s social field theory. Educational Studies in Mathematics, 80(1-2), 201-215.

Ralph, E., Walker, K., & Wimmer, R. (2009). The practicum in professional education: Pre-service students’ experiences. Transformative Dialogues: Teaching & Learning Journal, 1(2), 1-17.

Ramdhany, V., Venkat, H., & Christiansen, I. M. (2018). Dissonance and continuity in the mathematical education and training experiences of pre-service secondary mathematics teachers. African Journal of Research in Mathematics, Science and Technology Education, 22(2), 186-195.

Savolainen, H., Engelbrecht, P., Nel, M., & Malinen, O. P. (2012). Understanding teachers’ attitudes and self-efficacy in inclusive education: Implications for pre-service and in-service teacher education. European Journal of Special Needs Education, 27(1), 51-68.

Schoenfeld, A. H. (2004). The math wars. Educational Policy, 18(1), 253-286.

Van den Heuvel-Panhuizen, M., & Drijvers, P. (2014). Realistic mathematics education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 521-525). Springer.

Van Driel, J. H., de Jong, O., & Verloop, N. (2002). The development of preservice chemistry teachers’ pedagogical content knowledge. Science Education, 86(4), 572–590.

Van Velzen, C., Volman, M., Brekelmans, M., & White, S. (2012). Guided work-based learning: Sharing practical knowledge of teaching with student teachers. Teaching and Teacher Education, 28(2), 229–239.

Wilkins, J. L. M., & Brand, B. R. (2004). Change in preservice teachers’ beliefs: An evaluation of a mathematics methods course. School Science and Mathematics, 104(5), 226-232.

Williams, H. (2001). Preparation of primary and secondary mathematics teachers: A working group report. In M. Artigue & D. Holton (Eds.), Teaching and learning mathematics at university level (pp. 445-454). Kluwer Academic Publishers.

Yarmus, R. L., & Begum, N. (2014). Field experiences and teacher education programs: What is and what if? Journal of the European Teacher Education Network, 9, 159-168.

Yin, R. K. (2009). Case study research: Design and methods (4th ed.). SAGE Publications.

Zazkis, R., & Mamolo, A. (2011). Reconceptualizing knowledge at the mathematical horizon. For the Learning of Mathematics, 31(2), 8-13.

Zeichner, K. (2010). Rethinking the connections between campus courses and field experiences in college-and university-based teacher education. Journal of Teacher Education, 61(1-2), 89-99.

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