Mathematics Teachers’ Perceptions of Teaching Practices Alignment with Ambitious Teaching


  • Eskil Ahn Braseth Norwegian University of Science and Technology


practice-based, craft knowledge, ambitious teaching, professional development


Research on practice-based mathematics teacher education has identified core practices, principles and design features that lead to effective programs. Yet, some teachers do not perceive such practice-based development programs as relevant or useful. In response to this, the study reported in this article investigated three Norwegian teachers’ current perceptions on mathematics teaching and student learning. Findings from the study indicate that teachers’ perceptions on classroom practices can be described by using key concepts similar to those that are used to describe practices in ambitious teaching. However, the teachers’ perceptions are guided by underlying purposes that differ from the view of teaching and student learning grounded in the characteristics of ambitious mathematics teaching. The implications of the findings are discussed in relation to the potential benefits of studying teachers’ current understandings of concepts related to a professional development program before entry to or during the start-up phase of the program.


Alvesson, M., & Sköldberg, K. (2009). Reflexive methodology: New vistas for qualitative research (2nd ed.). SAGE Publications.

Angrosino, M. V., & de Peréz, K. A. M (2000). Rethinking observation: From method to context. In N. K. Denzin & Y. S. Lincoln (Eds.), Handbook of qualitative research (pp. 467–478). SAGE Publications.

Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM: Mathematics Education, 45(6), 797–810.

Avalos, B. (2011). Teacher professional development in teaching and teacher education over ten years. Teaching and Teacher Education, 27(1), 10–20.

Ball, D. L., & Cohen, D. K. (1999). Developing practice, developing practitioners: Toward a practice-based theory of professional education. In L. Darling-Hammond & G. Sykes (Eds.), Teaching as a learning profession: Handbook for policy and practice (pp. 3–31). Jossey-Bass.

Ball, D. L., & Forzani, F. M. (2009). The work of teaching and the challenge for teacher education. Journal of Teacher Education, 60(5), 497–511.

Bailey, J., & Taylor, M. (2015). Experiencing a mathematical problem-solving teaching approach: Opportunities to identify ambitious teaching practices. Mathematics Teacher Education and Development, 17(2), 111–124.

Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning. Routledge.

Borko, H. (2004). Professional development and teacher learning: Mapping the terrain. Educational Researcher, 33(8), 3–15.

Brinkmann, S., & Kvale, S. (2015). Interviews: Learning the craft of qualitative research interviewing (3rd ed.). SAGE Publications.

Charalambous, C. Y., & Delaney, S. (2020). Mathematics teaching practices and practice-based pedagogies: A critical review of the literature since 2000. In D. Potari & O. Chapman (Eds.), International handbook of mathematics teacher education: Volume 1 (pp. 355–390). Brill.

Cooper, P., & McIntyre, D. (1996). Effective teaching and learning: Teachers’ and students’ perspectives. McGraw-Hill Education.

Corbin, J., & Strauss, A. (2008). Basics of qualitative research. SAGE Publications.

Creswell, J. W. (2013). Qualitative inquiry & research design: Choosing among five approaches (3rd ed.). SAGE Publications.

Denzin, N. K., & Lincoln, Y. S. (2011). Introduction: The discipline and practice of qualitative research. In N. K. Denzin & Y. S. Lincoln (Eds.), The SAGE handbook of qualitative research (4th ed., pp. 1–19). SAGE Publications.

Desimone, L. M. (2009). Improving impact studies of teachers’ professional development: Toward better conceptualizations and measures. Educational Researcher, 38(3), 181–199.

Elmore, R. F. (2002). Bridging the gap between standards and achievement: The imperative for professional development in education. In C. M. Grant, V. L. Mills, M. Bouck, E. Davidson, & B. S. Nelson (Eds.), Secondary lenses on learning participant book: Team leadership for mathematics in middle and high schools (pp. 313–344). Corwin.

Fauskanger, J., & Bjuland, R. (2019). Learning ambitious teaching of multiplicative properties through a cycle of enactment and investigation. Mathematics Teacher Education and Development, 21(1), 125–144.

Freudenthal, H. (1991). Revisiting mathematics education. Kluwer Academic.

Forzani, F. M. (2014). Understanding “core practices” and “practice-based” teacher education: Learning from the past. Journal of Teacher Education, 65(4), 357–368.

Ghousseini, H. (2017). Rehearsals of teaching and opportunities to learn mathematical knowledge for teaching. Cognition and Instruction, 35(3), 188–211.

Ghousseini, H., Beasley, H., & Lord, S. (2015). Investigating the potential of guided practice with an enactment tool for supporting adaptive performance. Journal of the Learning Sciences, 24(3), 461–497.

Gibbons, L. K., & Cobb, P. (2016). Content-focused coaching: Five key practices. The Elementary School Journal, 117(2), 237–260.

Gibbons, L. K., Kazemi, E., & Lewis, R. M. (2017). Developing collective capacity to improve mathematics instruction: Coaching as a lever for school-wide improvement. The Journal of Mathematical Behavior, 46, 231–250.

Gibbons, L. K., Wilhelm, A. G., & Cobb, P. (2019). Coordinating leadership supports for teachers’ instructional improvement. Journal of School Leadership, 29(3), 248–268.

Gold, R. L. (1958). Roles in sociological field observation, Social Forces, 36, 217–223.

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

Kazemi, E. (2017). Teaching a mathematics methods course: Understanding learning from a situative perspective. In S. Kastberg, A. Tyminski, A. Lischka, & W. Sanchez (Eds.), Building support for scholarly practices in mathematics methods (pp. 49–65). Information Age.

Kazemi, E., Franke, M., & Lampert, M. (2009). Developing pedagogies in teacher education to support novice teachers’ ability to enact ambitious instruction. In R. Hunter, B. Bicknell & T. Burgess (Eds.), Crossing divides. Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia: Vol. 1 Palmerston North, NZ (pp. 12–30).

Kazemi, E., Ghousseini, H., Cunard, A., & Turrou, A. C. (2016). Getting inside rehearsals: Insights from teacher educators to support work on complex practice. Journal of Teacher Education, 67(1), 18–31.

Kazemi, E., & Resnick, A. F. (2020). Organising schools for teacher and leader learning. In G. M. Lloyd & O. Chapman (Eds.), International handbook of mathematics teacher education: Volume 3 (2nd. ed., pp. 393–420). Brill Sense.

Kazemi, E., & Wæge, K. (2015). Learning to teach within practice-based methods courses. Mathematics Teacher Education and Development, 17(2), 125–145.

Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics. National Academy Press.

Lampert, M. (2001). Teaching problems and the problems of teaching. Yale University Press.

Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1-2), 21–34.

Lampert, M., Beasley, H., Ghousseini, H., Kazemi, E., & Franke, M. L. (2010). Using designed instructional activities to enable novices to manage ambitious mathematics teaching. In M. K. Stein & L. Kucan (Eds.), Instructional explanations in the disciplines (pp. 129–141). Springer.

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

Liljedahl, P. (2016). Building thinking classrooms: Conditions for problem-solving. In P. Felmer, E. Pehkonen, & J. Kilpatrick (Eds.), Posing and solving mathematical problems (pp. 361–386). Springer.

Lincoln, Y., & Guba, E. (1985). Naturalistic inquiry. SAGE Publications.

McDonald, M., Kazemi, E. & Kavanagh, S. S. (2013). Core practices and pedagogies of teacher education: A call for a common language and collective activity. Journal of Teacher Education, 64(5), 378–386.

McDonald, M., Kazemi, E., Kelley-Petersen, M., Mikolasy, K., Thompson, J., Valencia, S. W., & Windschitl, M. (2014). Practice makes practice: Learning to teach in teacher education. Peabody Journal of Education, 89(4), 500–515.

NESH. (2021). Forskningsetiske Retningslinjer for Samfunnsvitenskap og Humaniora [Research Ethical Guidelines for Social Science and Humanities]. Norwegian National Committees for Research Ethics.

Pokhrel, T. R., & Behera, S. K. (2016). Expectations of teachers from teachers’ professional development program in Nepal. American Journal of Educational Research, 4(2), 190–194.

Polkinghorne, D. E. (1989). Phenomenological research methods. In R. S. Valle & S. Halling (Eds.), Existential-phenomenological perspectives in psychology (pp. 41–60). Springer.

Postholm, M. B. (2008). The start-up phase in a research and development work project: A foundation for development. Teaching and Teacher Education, 24(3), 575–584.

Postholm, M. B. (2010). Kvalitativ metode: En innføring med fokus på fenomenologi, etnografi og kasusstudier. [Qualitative method: An introduction focusing on phenomenology, ethnography and case studies] Universitetsforlaget.

Postholm, M. B. (2019). Research and development in school: Grounded in cultural historical activity theory. Brill.

Postholm, M. B. (2021). The importance of the start-up phase in school-based development for learning and enduring change. European Journal of Teacher Education, 44(4), 572–586.

Prawat, R. S. (1996). Constructivisms, modern and postmodern. Educational Psychologist, 31(3-4), 215–225.

Riessman, C. H. (2008). Narrative methods for the human sciences. SAGE Publications.

Ruthven, K., & Goodchild, S. (2008). Linking researching with teaching: Towards synergy of scholarly and craft knowledge. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 561–588). Routledge.

Ruthven, K., & Goodchild, S. (2015). Knowledge creation through dialogic interaction between the practices of teaching and researching. In L. D. English & D. Kirshner (Eds.), Handbook of international research in mathematics education (pp. 535–552). Routledge.

Stake, R. E., & Trumbull, D. J. (1982). Naturalistic generalizations. Review Journal of Philosophy and Social Science, 7(1), 1–12.

Strauss, A., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory. SAGE Publications.

Timperley, H., Wilson, A., Barrar, H., & Fung, I. (2007). Teacher professional learning and development: Best evidence synthesis iteration. Ministry of Education.

Van den Heuvel-Panhuizen, V. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9–35.

Wæge, K., & Fauskanger, J. (2021). Teacher time outs in rehearsals: In-service teachers learning ambitious mathematics teaching practices. Journal of Mathematics Teacher Education, 24, 563–586.

Wolcott, H. (2008). Ethnography. A way of seeing (2nd ed.). AltaMira Press.

Zeichner, K. (2012). The turn once again toward practice-based teacher education. Journal of Teacher Education, 63(5), 376–382.