Conceptualising (mathematics teacher educator) identity work: an enactivist-informed approach

Authors

  • Tracy Helliwell
  • Andreas Ebbelind

Keywords:

mathematics education

Abstract

Research suggests that engaging in identity work is a vital part of a process of becoming a mathematics teacher and that mathematics teacher educators (MTEs) are key to supporting this process, yet we currently know very little about the identity work of MTEs themselves. In this paper, we contribute to this dearth of literature whilst exploring what the perspective of enactivism has to offer identity research given its emphasis on relationships and embodied action. We formulate our conceptualisation of MTE identity work as a set of seven methodological principles informed by the enactivist theory of cognition.

References

Allen, J., Park Rogers, M. & Borowski, R. (2016). ”I am out of my comfort zone”: self-study of the struggle of adapting to the professional identity of a teacher educator. Studying Teacher Education, 12 (3), 320–332. https://doi.org/10.1080/17425964.2016.1228048

Amott, P. (2018). Identification–a process of self-knowing realised within narrative practices for teacher educators during times of transition. Professional Development in Education, 44 (4), 476–491. https://doi.org/10.1080/19415257.2017.1381638

Andersson, A. & Wagner, D. (2019). Identities available in intertwined discourses: mathematics student interaction. ZDM, 51 (3), 529–540. https://doi.org/10.1007/s11858-019-01036-w

Ball, D. L., Thames, M. H. & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59 (5), 389–407. https://doi.org/10.1177/0022487108324554

Battey, D. & Franke, M. (2008). Transforming identities: understanding teachers across professional development and classroom practice. Teacher Education Quarterly, 35 (3), 127–149.

Beswick, K. (2004). The impact of teachers’ perceptions of student characteristics on the enactment of their beliefs. In M. J. Hoines & A. B. Fuglestad (Eds.), Proceedings of PME 28. (vol. 2, pp. 111–118). http://www.igpme.org/publications/current-proceedings/

Brown, L. & Coles, A. (2011). Developing expertise: how enactivism re-frames mathematics teacher development. ZDM, 43 (6-7), 861–873. https://doi.org/10.1007/s11858-011-0343-4

Brown, L. & Coles, A. (2020). A way of working with teachers of mathematics in collaborative groups. In H. Borko & D. Potari (Eds.), ICMI study 25. Conference proceedings (pp. 86–93). https://www.mathunion.org/fileadmin/ICMI/ICMI%20studies/ICMI%20Study%2025/BaseProceedings4.24.2020_PageNumbers_FINAL.pdf

Capra, F. (1996). The web of life: a new synthesis of mind and matter. HarperCollins.

Chapman, O. (2020). Mathematics teacher educators’ use of narrative in research, learning and teaching. For the Learning of Mathematics, Monograph 1, 21–27. https://www.jstor.org/stable/27212032

Claxton, G. (2000). The anatomy of intuition. In T. Atkinson & G. Claxton (Eds.), The intuitive practitioner: on the value of not always knowing what one is doing (pp. 32–52). Open University Press.

Cooney, T. (1985). A beginning teacher’s view of problem solving. Journal for Research in Mathematics Education, 16 (5), 324–336. https://doi.org/10.5951/jresematheduc.16.5.0324

Cross Francis, D., Kaur Bharaj, P., Liu, J., Phillips, A., Park Rogers, M. et al. (2022). Questioning our credibility: an exploration of the professional identity development of mathematics teacher educators. Mathematics, 10 (1), 66. https://doi.org/10.3390/math10010066

Darragh, L. (2016). Identity research in mathematics education. Educational Studies in Mathematics, 93 (1), 19–33. https://doi.org/10.1007/s10649-016-9696-5

Davis, B. (1996). Teaching mathematics: towards a sound alternative. Garland.

Davis, B. (2004). Inventions of teaching: a genealogy. Lawrence Erlbaum.

Davis, B. & Sumara, D. (2007). Complexity science, ecology, and enactivism. In J. Kincheloe & R. A. Horn (Eds.), The Praeger handbook of education and psychology (pp. 464–473). Praeger

Dinkelman, T., Margolis, J. & Sikkenga, K. (2006). From teacher to teacher educator: experiences, expectations, and expatriation. Studying Teacher Education, 2 (1), 5–23. https://doi.org/10.1080/17425960600557447

Dreyfus, H. L. & Dreyfus, S. E. (1991). Towards a phenomenology of ethical expertise. Human Studies, 14, 229–250. https://doi.org/10.1007/bf02205607

Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: a model. Journal of Education for Teaching, 15 (1), 13–33. https://doi.org/10.1080/0260747890150102

Farnsworth, V., Kleanthous, I. & Wenger-Trayner, E. (2016). Communities of practice as a social theory of learning: a conversation with Etienne Wenger. British Journal of Educational Studies, 64 (2), 139–160. https://doi.org/10.1080/00071005.2015.1133799

Freitas, E. de (2008). Troubling teacher identity: preparing mathematics teachers to teach for diversity. Teaching Education, 19 (1), 43–55.

Gilligan, C., Spencer, R., Weinberg, M. K. & Bertsch, T. (2003). On the listening guide: a voice-centered relational method. In P. M. Camic, J. E.

Rhodes & L. Yardley (Eds.), Qualitative research in psychology: expanding perspectives in methodology and design (pp. 157–172). APA.

Goos, M. & Bennison, A. (2019). A zone theory approach to analysing identity formation in mathematics education. ZDM, 51 (3), 405–418. https://doi.org/10.1007/s11858-018-1011-8

Graven, M. & Heyd-Metzuyanim, E. (2019). Mathematics identity research: the state of the art and future directions. ZDM, 51 (3), 361–377. https://doi.org/10.1007/s11858-019-01050-y

Hall, J., Towers, J. & Martin, L. (2018). Using I poems to illuminate the complexity of students’ mathematical identities. Educational Studies in Mathematics, 99, 181–196.

Hamilton, M., Smith, L. & Worthington, K. (2008). Fitting the methodology with the research: an exploration of narrative, self-study and auto- ethnography. Studying Teacher Education, 4 (1), 17–28. https://doi.org/10.1080/17425960801976321

Helliwell, T. (2021). Developing a narrative-enactivist methodology for becoming a mathematics teacher educator [PhD thesis]. University of Bristol. https://research-information.bris.ac.uk/en/studentTheses/developing-a-narrative-enactivist-methodology-for-becoming-a-math

Hill, H., Sleep, L., Lewis, J. & Ball, D. (2007). Assessing teachers’ mathematical knowledge: What knowledge matters and what evidence counts? In F. Lester (Ed.), Second handbook for research on mathematics education (pp. 111–155). Information Age.

Holland, D., Skinner, D., Lachicotte Jr, W. & Cain, C. (1998). Identity and agency in cultural worlds. Harvard University Press.

Hutchins, E. (2014). The cultural ecosystem of human cognition. Philosophical Psychology, 27 (1), 34–49.

Kaasila, R., Lutovac, S. & Uitto, M. (2023). Research on teacher educators’ teacher identities: critical interpretative synthesis and future directions. European Journal of Teacher Education, 1–20. https://doi.org/10.1080/02619768.2023.2181077

Karsenty, R., Pöhler, B., Schwarts, G., Prediger, S. & Arcavi, A. (2021). Processes of decision-making by mathematics PD facilitators: the role of resources, orientations, goals, and identities. Journal of Mathematics Teacher Education, 26 (1), 1–25. https://doi.org/10.1007/s10857-021-09518-z

Kastberg, S. & Grant, M. (2020). Characteristics of critical friendship that transform professional identity. In C. Edge, A. Cameron-Standerford & B. Bergh (Eds.), Textiles and tapestries: self-study for envisioning new ways of knowing. EdTech Books. https://edtechbooks.org/textiles_tapestries_self_study/chapter_17

Knapp, M. C. (2017). An autoethnography of a (reluctant) teacher leader. The Journal of Mathematical Behavior, 46, 251–266. https://doi.org/10.1016/j.jmathb.2017.02.004

Lloyd, G. M., Carle, A. de & Coon-Kitt, M. J. (2021). When you’re with me, I’m learning: a duoethnography of teacher educators’ identities in relation to observing preservice teachers’ emergent mathematics instruction. International Journal of Science and Mathematics Education, 19, 77–98. https://doi.org/10.1007/s10763-021-10162-5

Lutovac, S. & Kaasila, R. (2011). Beginning a pre-service teacher’s mathematical identity work through narrative rehabilitation and bibliotherapy. Teaching in Higher Education, 16 (2), 225–236. https://doi.org/10.1080/13562517.2010.515025

Lutovac, S. & Kaasila, R. (2014). Pre-service teachers’ future-oriented mathematical identity work. Educational Studies in Mathematics, 85 (1), 129–142. https://doi.org/10.1007/s10649-013-9500-8

Lutovac, S. & Kaasila, R. (2018a). An elementary teacher’s narrative identity work at two points in time two decades apart. Educational Studies in Mathematics, 98 (3), 253–267. https://doi.org/10.1007/s10649-018-9816-5

Lutovac, S. & Kaasila, R. (2018b). Future directions in research on mathematics-related teacher identity. International Journal of Science and Mathematics Education, 16 (4), 759–776. https://doi.org/10.1007/s10763-017-9796-4

Mason, J. (2002). Researching your own practice: the discipline of noticing. Routledge. https://doi.org/10.4324/9780203471876

Maturana, H. & Varela, F. (1998). The tree of knowledge: the biological roots of human understanding. Shambhala. (Originally published 1987).

Maturana Romesin, H. & Verden-Zöller, G. (2008). The origin of humanness in the biology of love. Imprint Academic.

Merleau-Ponty, M. (1962). Phenomenology of perception. Routledge.

Neumayer DePiper, J. (2013). Teacher identity work in mathematics teacher education. For the Learning of Mathematics, 33 (1), 9–15.

Osborn, J-A., Prieto, E. & Butler, E. (2021). Shaping our collective identity as mathematics teacher educators. In M. Goos & K. Beswick (Eds.), The learning and development of mathematics teacher educators: international perspectives and challenges (pp. 245–262). Springer. https://doi.org/10.1007/978-3-030-62408-8_13

Philipp, A. (2007). Mathematics teachers’ beliefs and affect. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257–318). Information Age Publishing.

Polanyi, M. (1966). The tacit dimension. University of Chicago Press.

Reid, D. (1996). Enactivism as a methodology. In L. Puig & A. Gutierrez (Eds.), Proceedings of PME 20 (vol. 4, pp. 203–209). PME.

Skott, J. (2015). Towards a participatory approach to ”beliefs” in mathematics education. In B. Pepin & B. Roesken-Winter (Eds.), From beliefs to dynamic affect systems in mathematics education: advances in mathematics education (3–23). Springer. https://doi.org/10.1007/978-3-319-06808-4_1

Skott, J. (2019). Changing experiences of being, becoming, and belonging: teachers’ professional identity revisited. ZDM, 51 (3), 469–480. https://doi.org/10.1007/s11858-018-1008-3

Sfard, A. & Prusak, A. (2005). Telling identities: in search of an analytic tool for investigating learning as a culturally shaped activity. Educational researcher, 34 (4), 14–22. https://doi.org/10.3102/0013189x034004014

Simmt, E. & Kieren, T. (2015). Three ”moves” in enactivist research: a reflection. ZDM, 47 (2), 307–317. https://doi.org/10.1007/s11858-015-0680-9

Sowder, J. (2007). The mathematical education and development of teachers. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257–318). Information Age Publishing.

Sridharan, V. (2015). Beyond consensual domains: enactivism, social representations and third-order unities. Culture and Psychology, 21 (2), 259–275. https://doi.org/10.1177/1354067X15570489

Stipek, D., Givvin, K., Salmon, J. & MacGyvers, V. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17 (2), 213–226. https://doi.org/10.1016/s0742-051x(00)00052-4

Sumara, D. & Davis, B. (1997). Enactivist theory and community learning: toward a complexified understanding of action research. Educational Action Research, 5 (3), 403–422. https://doi.org/10.1080/09650799700200037

Swennen, A., Jones, K. & Volman, M. (2010). Teacher educators: their identities, sub-identities and implications for professional development. Professional development in education, 36 (1-2), 131–148. https://doi.org/10.1080/19415250903457893

Taylor, C. (1995). The dialogical self. In R. F. Goodman & W. R. Fisher (Eds.), Rethinking knowledge: reflections across the disciplines, (pp. 57–66). State University of New York Press.

Varela, F. (1999). Ethical know-how: action, wisdom and cognition. Stanford University Press.

Varela, F., Thompson, E. & Rosch, E. (1991). The embodied mind: cognitive science and human experience. The MIT Press. https://doi.org/10.7551/mitpress/6730.001.0001

Voss, T., Kleickmann, T., Kunter, M. & Hachfeld, A. (2013). Mathematics teachers’ beliefs. In M. Kunter, J. Baumert, W. Blum, U. Klusmann, S. Krauss & M. Neubrand (Eds.), Cognitive activation in the mathematics classroom and professional competence of teachers – results from the COACTIV project (pp. 249–272). Springer. https://doi.org/10.1007/978-1-4614-5149-5_12

Walshaw, M. (2010). Learning to teach: powerful practices at work during the practicum. In M. Walshaw (Ed.), Unpacking pedagogy: new perspectives for mathematics (pp. 109–128). Information Age.

Weinberg, A., Balgopal, M. & Sample McMeeking, L. (2021). Professional growth and identity development of STEM teacher educators in a community of practice. International Journal of Science and Mathematics Education, 19, 99–120. https://doi.org/10.1007/s10763-020-10148-9

Wenger, E. (1998). Communities of practice: learning, meaning, and identity. Cambridge University Press. https://doi.org/10.1017/cbo9780511803932

Williams, J., Ritter, J. & Bullock, S. (2012). Understanding the complexity of becoming a teacher educator: experience, belonging, and practice within a professional learning community. Studying Teacher Education, 8 (3), 245–260. https://doi.org/10.1080/17425964.2012.719130

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Published

2024-11-19

How to Cite

Helliwell, T., & Ebbelind, A. (2024). Conceptualising (mathematics teacher educator) identity work: an enactivist-informed approach. NOMAD Nordic Studies in Mathematics Education, 29(3-4), 101–123. Retrieved from https://tidsskrift.dk/NOMAD/article/view/150755

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