Abstract
In this chapter, we investigate the transition from doing research in pure mathematics to becoming a mathematics teacher educator for prospective primary school teachers. The transition involves challenges at several levels, including both the teaching of students and the nature and content of research in a different field. Central to this transition is the development from knowledge in the vanguard of pure mathematics to profound understanding of fundamental mathematics. What does a pure mathematician need to learn in order to become a mathematics teacher educator? How and in which contexts does the learning take place? Using a four-dimensional framework, we investigate questions about knowledge and learning, inquiry and reflection, insider and outsider, and individual and community.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Akkerman, S. F., & Bakker, A. (2011). Boundary crossing and boundary objects. Review of Educational Research, 81(2), 132–169.
American Mathematical Society. (2018). MatSciNet mathematical reviews. Retrieved from https://mathscinet.ams.org/mathscinet/
Artigue, M. (1998). Research in mathematics education through the eyes of mathematicians. In A. Sierpinska & J. Kilpatrick (Eds.), Mathematics education as a research domain: A search for identity (pp. 477–489). Dordrecht, The Netherlands: Kluwer.
Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM Mathematics Education, 45(6), 797–810.
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.
Beswick, K., & Chapman, O. (2013). Mathematics teacher educators’ knowledge. In A. M. Lindmeier & A. Heinze (Eds.), Proceedings of the 37th conference of the International Group for the Psychology of Mathematics Education (Vol. 1, p. 215). Kiel, Germany: PME.
Beswick, K., Goos, M., & Chapman, O. (2014). Mathematics teacher educators’ knowledge. In P. Liljedahl, C. Nicol, S. Oesterle, & D. Allen (Eds.), Proceedings of the 38th conference of the International Group for the Psychology of Mathematics Education (Vol. 1, p. 254). Vancouver, Canada: PME.
Borko, H., Liston, D., & Whitcomb, J. A. (2007). Genres of empirical research in teacher education. Journal of Teacher Education, 58(1), 3–11.
Cornell University Library. (n.d.). arXiv.org. Retrieved from https://arxiv.org/
Dinkelman, T., Margolis, J., & Sikkenga, K. (2006). From teacher to teacher educator: Experiences, expectations, and expatriation. Studying Teacher Education, 2(1), 5–23.
Doig, B., & Groves, S. (2011). Japanese lesson study: Teacher professional development through communities of inquiry. Mathematics Teacher Education and Development, 13(1), 77–93.
Even, R. (2008). Facing the challenge of educating educators to work with practicing mathematics teachers. In B. Jaworski & T. Wood (Eds.), International handbook of mathematics teacher education (Vol. 4, pp. 57–73). Rotterdam, The Netherlands: Sense Publishers.
Even, R. (2014). Challenges associated with the professional development of didacticians. ZDM Mathematics Education, 46, 329–333.
Fernandez, C. (2005). Lesson study: A means for elementary teachers to develop the knowledge of mathematics needed for reform-minded teaching? Mathematical Thinking and Learning, 7(4), 265–289.
Feyerabend, P. (1991). Three dialogues on knowledge. Oxford, UK: Blackwell. Retrieved from https://archive.org/
Freudenthal, H. (1991). Revisiting mathematics education. Dordrecht, The Netherlands: Kluwer.
Goos, M. (2014). Creating opportunities to learn in mathematics education: A sociocultural perspective. Mathematics Education Research Journal, 26, 439–457.
Goos, M., & Bennison, A. (2018). Boundary crossing and brokering between disciplines in pre-service mathematics teacher education. Mathematics Education Research Journal, 30, 255–275.
Gravemeijer, K. (2004). Local instruction theories as means of support for teachers in reform mathematics education. Mathematical Thinking and Learning, 6(2), 105–128.
Grimeland, Y. (2014). Classification problems for special biserial and gentle algebras. (Doctoral dissertation). Trondheim, Norway: NTNU.
Hamilton, M. L., 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.
Hatch, G., & Rowland, T. (2006). Learning to teach: Gill’s story. Mathematics Teaching, 196, 3–7.
Hiebert, J. (Ed.). (1986). Conceptual and procedural knowledge: The case of mathematics. Hillsdale, NJ: Lawrence Erlbaum.
Jaworski, B. (2003). Research practice into/influencing mathematics teaching and learning development: Towards a theoretical framework based on co-learning partnerships. Educational Studies in Mathematics, 54, 249–282.
Krainer, K. (2008). Reflecting the development of a mathematics teacher educator and his discipline. In B. Jaworski & T. Wood (Eds.), International handbook of mathematics teacher education (Vol. 4, pp. 177–199). Rotterdam, The Netherlands: Sense Publishers.
LaBoskey, V. K. (2004). The methodology of self-study and its theoretical underpinnings. In J. J. Loughran, M. L. Hamilton, V. K. LaBoskey, & T. Russell (Eds.), The international handbook on self-study of teaching and teacher education practices (pp. 817–869). Dordrecht, The Netherlands: Springer.
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, 451–473.
Ma, L. (2010). Knowing and teaching elementary mathematics (Anniversary ed.). New York: Routledge.
Mason, J. (1994). Researching from the inside in mathematics education: Locating an I-you relationship. In J. Ponte & J. Matos (Eds.), Proceedings of the 18th conference of the International Group for the Psychology of Mathematics Education (pp. 176–194). Lisbon, Portugal: PME.
Mason, J. (1998). Researching from the inside in mathematics education. In A. Sierpinska & J. Kilpatrick (Eds.), Mathematics education as a research domain: A search for identity (pp. 357–377). Dordrecht, The Netherlands: Springer.
Murray, J., & Male, T. (2005). Becoming a teacher educator: Evidence from the field. Teaching and Teacher Education, 21, 125–142.
Rowland, T., & Hatch, G. (2006). Learning to teach: Tim’s story. Mathematics Teaching, 197, 36–39.
Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary teachers’ mathematics subject knowledge: The knowledge quartet and the case of Naomi. Journal of Mathematics Teacher Education, 8(3), 255–281.
Russell, T., & Korthagen, F. (Eds.). (1995). Teachers who teach teachers. Reflections on teacher education. London: Falmer Press.
Simon, M. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26, 114–145.
Skemp, R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20–26.
Tzur, R. (2001). Becoming a mathematics teacher-educator: Conceptualizing the terrain through self-reflective analysis. Journal of Mathematics Teacher Education, 4, 259–283.
Wagner, J. (1997). The unavoidable intervention of educational research: A framework for reconsidering research-practitioner cooperation. Educational Researcher, 26(7), 13–22.
Wu, Y., Hwang, S., & Cai, J. (2017). Being a mathematics teacher educator in China: Challenges and strategic responses. International Journal of Science and Mathematics Education, 15, 1365–1384.
Yamagata-Lynch, L. C. (2010). Activity systems analysis methods understanding complex learning environments. New York: Springer.
Yang, Y., & Ricks, T. E. (2013). Chinese lesson study: Developing classroom instruction through collaboration in school-based teaching research group activities. In Y. Li & R. Huang (Eds.), How Chinese teach mathematics and improve teaching (pp. 51–65). New York: Routledge.
Yin, R. K. (2018). Case study research and applications. Design and methods (6th ed.). Los Angeles, CA: Sage Publications.
Zaslavsky, O., & Leikin, R. (2004). Professional development of mathematics teacher educators: Growth through practice. Journal of Mathematics Teacher Education, 7, 5–32.
Zazkis, R., & Zazkis, D. (2011). The significance of mathematical knowledge in teaching elementary methods courses: Perspectives of mathematics teacher educators. Educational Studies of Mathematics, 76, 247–263.
Acknowledgement
The authors wish to thank Professor Tim Rowland for helpful comments and suggestions during the preparation of the manuscript. We also thank our editor Merrilyn Goos and the two anonymous reviewers for their comments and suggestion on the first draft of this chapter.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Sikko, S.A., Grimeland, Y. (2021). From Researcher in Pure Mathematics to Primary School Mathematics Teacher Educator. In: Goos, M., Beswick, K. (eds) The Learning and Development of Mathematics Teacher Educators. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-62408-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-030-62408-8_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-62407-1
Online ISBN: 978-3-030-62408-8
eBook Packages: EducationEducation (R0)