Exploring shifts in pre-service teachers’ perceptions of mathematicians: from first year to the end of second year

Authors

DOI:

https://doi.org/10.38140/obp3-2025-04

Keywords:

Legitimation Code Theory, mathematical practices, mathematicians’ perceptions, pre-service teachers, variation theory

Abstract

This study examines how pre-service mathematics teachers perceive mathematicians' roles and practices, emphasising the shifts in their epistemic and social understandings during their teacher education programme. Using Legitimation Code Theory (LCT) and variation theory, data were collected from 60 pre-service teachers at a South African university, comparing their views from their first to second year. Initial perceptions often conflated mathematicians with educators, focusing on societal roles and pedagogical functions. However, by their second year, after engaging in a mathematics methodology course rooted in variation theory, participants demonstrated an increased appreciation for mathematicians' epistemic practices, including problem-solving, abstraction, and theoretical application. Despite these advancements, many participants continued to frame their understanding through a pedagogical lens, with limited attention to the social dimensions of mathematical work, such as collaboration and interdisciplinarity. These findings underscore the need for teacher education programmes to balance epistemic and social dimensions, enabling future educators to view mathematics as both an intellectual discipline and a collaborative, dynamic field. This study contributes to understanding how theoretical frameworks can inform and transform pre-service teachers' conceptions of mathematicians' roles, bridging the gap between classroom teaching and authentic mathematical practices.

References

Blanton, M. L., & Stylianou, D. A. (2009). Interpreting a community of practice perspective in discipline-specific professional development in higher education. Innovative Higher Education, 34(2), 79–92. https://doi.org/10.1007/s10755-008-9081-6

Boaler, J., Brown, K., LaMar, T., Leshin, M., & Selbach-Allen, M. (2022). Infusing mindset through mathematical problem solving and collaboration: Studying the impact of a short college intervention. Education Sciences, 12(10), Article 694. https://doi.org/10.3390/educsci12100694

Bernstein, B. (2000). Pedagogy, symbolic control, and identity: Theory, research, critique. Rowman & Littlefield Publishers.

Burton, L. (2004). Mathematicians as enquirers: Learning about learning mathematics. Springer. https://doi.org/10.1007/978-94-017-0495-5

Beswick, K. (2012). Teachers’ beliefs about school mathematics and mathematicians’ mathematics and their relationship to practice. Educational Studies in Mathematics, 79(1), 127–147. https://doi.org/10.1007/s10649-011-9333-4

Cirillo, M., & Herbel-Eisenmann, B. A. (2011). “Mathematicians would say it this way”: An investigation of teachers’ framings of mathematicians. School Science and Mathematics, 111(2), 68–78. https://doi.org/10.1111/j.1949-8594.2010.00066.x

Hagenkötter, R., Nachtigall, V., Rolka, K., & Rummel, N. (2022). Exploring students’ and mathematics teachers’ conceptions about the work of mathematical scientists and possible relations to mathematics teaching. In Proceedings of the 16th International Conference of the Learning Sciences (ICLS 2022) (pp. 155–162). International Society of the Learning Sciences.

Hoffmann, A., & Even, R. (2018, July). What do mathematicians wish to teach teachers in secondary school about mathematics. In Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 99–106). PME.

Asvat, Z. J. (2024). Examining South African teachers' approach to mathematics problem-solving through legitimation code theory. In EDULEARN24 Proceedings (pp. 8935–8943). IATED.

Korthagen, F. A. J. (2010). How teacher education can make a difference. Journal of Education for Teaching, 36(4), 407–423.

Lai, Y., & Ahrens, S. (2024). Some mathematicians perceived and envisioned instructional relationships in secondary teaching and teaching secondary teachers. Journal of Mathematics Teacher Education, 27(3), 379–410. https://doi.org/10.1007/s10857-023-09592-x

Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1–2), 21–34. https://doi.org/10.1177/0022487109347321

Langsford, D., & Rusznyak, L. (2024). Observing complexity in teachers’ choices: Preparing preservice teachers for work-integrated learning. Education as Change, 28(1), Article 1.

Leikin, R., Zazkis, R., & Meller, M. (2018). Research mathematicians as teacher educators: Focusing on mathematics for secondary mathematics teachers. Journal of Mathematics Teacher Education, 21(5), 451–473. https://doi.org/10.1007/s10857-017-9366-9

Luckett, K., & Hunma, A. (2014). Making gazes explicit: Facilitating epistemic access in the humanities. Higher Education, 67(2), 183–198. https://doi.org/10.1007/s10734-013-9655-2

Lortie, D. C. (1975). Schoolteacher: A sociological study. University of Chicago Press.

Marton, F. (2015). Necessary conditions of learning. Routledge. https://doi.org/10.4324/9781315717632

Mårtensson, P., & Ekdahl, A. L. (2021). Variation theory and teaching experiences as tools to generate knowledge about teaching and learning mathematics—The case of pre-service teachers. Nordisk Matematikkdidaktikk, 26(3–4), 91–112.

Maton, K. (2014). Knowledge and knowers: Towards a realist sociology of education. Routledge. https://doi.org/10.4324/9780203078648

Merriam, S. B. (2002). Qualitative research in practice: Examples for discussion and analysis. Jossey-Bass.

Nardi, E. (2008). Amongst mathematicians: Teaching and learning mathematics at university level. Springer. https://doi.org/10.1007/978-0-387-72822-7

Olawale, B. E. (2024). Impact of pre-service teacher education programme on mathematics student teachers’ teaching practices during school experiences. Education Sciences, 14(7), 762. https://doi.org/10.3390/educsci14070762

Pang, M. F., & Marton, F. (2003). Beyond “lesson study”: Comparing two ways of facilitating the grasp of some economic concepts. Instructional Science, 31(3), 175–194. https://doi.org/10.1023/A:1023280619631

Picker, S. H., & Berry, J. S. (2000). Investigating pupils’ images of mathematicians. Educational Studies in Mathematics, 43(1), 65–94. https://doi.org/10.1023/A:1017523230758

Rock, D., & Shaw, J. M. (2000). Exploring children’s thinking about mathematicians and their work. Teaching Children Mathematics, 6(9), 550–555.

Schoenfeld, A. H. (2016). Research in mathematics education. Review of Research in Education, 40(1), 497–528. https://doi.org/10.3102/0091732X16658650

Sugrue, C. (1997). Complexities of teaching: Child-centred perspectives. Falmer Press.

Taylor, P. (2018). Teach the mathematics of mathematicians. Education Sciences, 8(2), Article 56. https://doi.org/10.3390/educsci8020056

Wagner, J. F., Speer, N. M., & Rossa, B. (2007). Beyond mathematical content knowledge: A mathematician’s knowledge needed for teaching an inquiry-oriented differential equations course. The Journal of Mathematical Behavior, 26(3), 247–266. https://doi.org/10.1016/j.jmathb.2007.09.002

Watson, A., & Mason, J. (2006). Mathematics as a constructive activity: Learners generating examples. Routledge.

Published

2025-03-10