Main Article Content

Abstract

Mathematics Teacher Educators (MTEs) play a crucial role in advancing effective mathematics education, as they are responsible for preparing future mathematics teachers. In recent years, increasing attention has been paid to investigating MTEs’ professional knowledge. However, most existing research has focused primarily on self-studies, wherein MTEs examine their own knowledge and practice, often without considering the perspectives of other professionals. This study addresses this gap by exploring how In-Service Mathematics Teachers (ISMTs) perceive the knowledge that characterizes a “good” MTE. Data were collected via open-ended written interviews with ISMTs working at various school levels and from different regions throughout Italy. The analysis was conducted using the Mathematics Teacher Educator Specialized Knowledge (MTESK) model and incorporated complementary frameworks to capture additional dimensions of MTEs’ knowledge not initially included. Findings indicate that ISMTs value not only strong mathematical understanding and pedagogical content knowledge but also relational, communicative, and affective qualities such as empathy, motivation, and the ability to foster collaborative learning environments. Furthermore, professional teaching experience and familiarity with mathematics education research were identified as important factors contributing to MTE effectiveness. Notably, ISMTs’ perceptions revealed some ambiguity in distinguishing knowledge intended to support teachers from that aimed at students, and highlighted tensions between the theoretical knowledge emphasized by MTEs and the practical, concrete support ISMTs seek. This study contributes to the understanding of MTEs’ professional knowledge by incorporating the perspectives of those they train, thus illuminating often undervalued affective and experiential aspects. The findings offer significant implications for the design of teacher education programs to better address ISMTs’ needs and enhance professional development.

Keywords

Mathematical Knowledge Mathematics Teacher Mathematics Teacher Educator Pedagogical Content Knowledge Perceptions

Article Details

How to Cite
Giadas, P., Cibien, M. C., Muñiz-Rodríguez, L., Ferretti, F., & Rodríguez-Muñiz, L. J. (2025). Exploring mathematics teacher educators’ knowledge through in-service mathematics teachers’ perceptions. Journal on Mathematics Education, 16(4), 1119–1136. https://doi.org/10.22342/jme.v16i4.pp1119-1136

References

  1. Ayalew, Y. (2017). A five circles model for designing mathematics teacher education programs and framing common standards for educators. International Electronic Journal of Mathematics Education, 12(3), 265-280. https://doi.org/10.29333/iejme/613
  2. 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
  3. Beswick, K., & Goos, M. (2018). Mathematics teacher educator knowledge: What do we know and where to from here? Journal of Mathematics Teacher Education, 21, 417-427. https://doi.org/10.1007/s10857-018-9416-4
  4. Carrillo, J., Climent, N., Montes, M., Contreras, L. C., Flores-Medrano, E., Escudero-Ávila, D., Vasco-Mora, D., Rojas, N., Flores, P., Aguilar-González, A. Ribeiro, M., & Muñoz-Catalan, M. C. (2018). The Mathematics Teacher’s Specialised Knowledge (MTSK) model. Research in Mathematics Education, 20(3), 236-253. https://doi.org/10.1080/14794802.2018.1479981
  5. Castro Superfine, A., Olanoff, D., Welder, R. M., & Prasad, P. V. (2024). A Review of Research on Mathematics Teacher Educator Knowledge: Mapping the Terrain. Education Sciences, 14(8), 810. https:// doi.org/10.3390/educsci14080810
  6. Castro Superfine, A., Prasad, P. V., Welder, R. M., Olanoff, D., & Eubanks-Turner, C. (2020). Exploring mathematical knowledge for teaching teachers: Supporting prospective elementary teachers’ relearning of mathematics. The Mathematics Enthusiast, 17(2-3), 367-402. https://doi.org/10.54870/1551-3440.1492
  7. Chapman, O. (2021). Mathematics Teacher Educator Knowledge for Teaching Teachers. In M. Goos & K. Beswick (Eds.), The Learning and Development of Mathematics Teacher Educators: International Perspectives and Challenges (pp. 403-416). Springer. https://doi.org/10.1007/978-3-030-62408-8_21
  8. Cohen, L., Manion, L., & Morrison, K. (2000). Research methods in education. Routledge Falmer.
  9. Dengerink, J., Lunenberg, M., & Kools, Q. (2015). What and how teacher educators prefer to learn. Journal of Education for Teaching: International research and pedagogy, 41(1), 78-96. https://doi.org/10.1080/02607476.2014.992635
  10. Escudero-Ávila, D., Montes, M., & Contreras, L. C. (2021). What Do Mathematics Teacher Educators Need to Know? Reflections Emerging from the Content of Mathematics Teacher Education. In M. Goos & K. Beswick (Eds.), The Learning and Development of Mathematics Teacher Educators: International Perspectives and Challenges (pp. 23-40). Springer. https://doi.org/10.1007/978-3-030-62408-8_2
  11. Even, R. (2008). Facing the challenge of educating educators to work with practicing mathematics teachers. In T. Wood, B. Jaworski, K. Krainer, P. Sullivan & T. Tirosh (Eds.), The international handbook of mathematics teacher education: The mathematics teacher educator as a developing professional (Vol. 4, pp. 57-74). Sense Publishers.
  12. Even, R. (2014). Challenges associated with the professional development of didacticians. ZDM Mathematics Education, 46, 329-333. https://doi.org/10.1007/s11858-014-0573-3
  13. Ferretti, F., Martignone, F., & Rodríguez-Muñiz, L. J. (2021). Mathematics teachers educator specialized knowledge model. Zetetiké, 29, e021001. https://dx.doi.org/10.20396/zet.v29i00.8661966
  14. Ferretti, F., Martignone, F., & Santi, G. (2022). Analysis of standardized tests and pre-service teacher education: Reflections on developed teachers’ specialized knowledge. In J. Hodgen, E. Geraniou, G. Bolondi & F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) (pp. 1-8). Free University of Bozen-Bolzano.
  15. Giadas, P., Muñiz-Rodríguez, L., & Rodríguez-Muñiz, L. J. (2023). ¿Qué características debe tener un formador de profesorado de matemáticas? In C. Jiménez-Gestal, Á. A. Magreñán, E. Badillo & P. Ivars (Eds.), Investigación en Educación Matemática XXVI (pp. 275-282). SEIEM.
  16. Giadas, P., Pascual-Martín, M. I, Muñiz-Rodríguez, L., Rodríguez-Muñiz, L. J., & Contreras, L. C. (2024). Perfiles de formadores de profesores de matemáticas en el contexto universitario español. PNA, 18(5), 439-466. https://doi.org/10.30827/pna.v18i5.29287
  17. Goos, M., & Beswick, K. (2021). Introduction: the learning and development of mathematics teacher educators. In M. Goos & K. Beswick (Eds.), The Learning and Development of Mathematics Teacher Educators: International Perspectives and Challenges (pp. 1-20). Springer. https://doi.org/10.1007/978-3-030-62408-8_1
  18. Jaworski, B. (2008). Mathematics teacher educator learning and development: An introduction. In B. Jaworski & T. Wood (Eds.), The International Handbook of Mathematics Teacher Education (Vol. 4, pp. 1-13). Sense Publishers. https://doi.org/10.1163/9789087905521
  19. Karsenty, R. (2020). The role of frameworks in researching knowledge and practices of mathematics teachers and teacher educators. In S. Zehetmeir, D. Potari & M. Ribeiro (Eds.), Professional development and knowledge of mathematics teachers (pp. 62-84). Routledge. https://doi.org/10.4324/9781003008460-5
  20. Kusaeri, A., Putrawangsa, S., Prahmana, R. C. I., Pardi, M. H. H., & Idrus, S. W. A. S. A. (2025). Ethnomathematical insights from the tide-forecasting calendar of an Indonesian coastal community into mathematics classroom. Journal on Mathematics Education, 16(2), 581–602. https://doi.org/10.22342/jme.v16i2.pp581-602
  21. Leikin, R. (2021). Characterisation of mathematics teacher educators’ knowledge in terms of teachers’ professional potential and challenging content for mathematics teachers. In M. Goos & K. Beswick (Eds.), The Learning and Development of Mathematics Teacher Educators: International Perspectives and Challenges (pp. 109-121). Springer. https://doi.org/10.1007/978-3-030-62408-8_6
  22. Malambo, P. (2023). Conceptions of mathematics teacher educators depicting essential mathematics teacher educator knowledge. European Journal of Mathematics and Science Education, 4(2), 121-131. https://doi.org/10.12973/ejmse.4.2.121
  23. Malola, M., & Seah, W. T. (2024). Primary school teachers’ knowledge for teaching multiplicative thinking. Journal on Mathematics Education, 15(4), 1175–1196. https://doi.org/10.22342/jme.v15i4.pp1175-1196
  24. Martignone, F., Ferretti, F., & Rodríguez-Muñiz, L. J. (2022). What aspects can characterize the specialized knowledge of a mathematics teacher educator? Educación Matemática, 34(3), 301-328. https://doi.org/10.24844/em3403.11
  25. Masingila, J. O., Olanoff, D., & Kimani, P. M. (2018). Mathematical knowledge for teaching teachers: knowledge used and developed by mathematics teacher educators in learning to teach via problem solving. Journal of Mathematics Teacher Education, 21, 429-450. https://doi.org/10.24844/em3403.11
  26. Mason, J. (1998). Enabling teachers to be real teachers: Necessary levels of awareness and structure of attention. Journal of Mathematics Teacher Education, 1(3), 243-267. https://doi.org/10.1023/A:1009973717476
  27. Matitaputty, C., Nusantara, T., Hidayanto, E., & Sukoriyanto. (2024). How mathematics teachers’ special knowledge changing: A case study in the Professional Teacher Education program. Journal on Mathematics Education, 15(2), 545–574. https://doi.org/10.22342/jme.v15i2.pp545-574
  28. Nursyahidah, F., Wardono, Mariani, S., & Wijayanti, K. (2025). Integrating technology, Javanese ethnomathematics, and realistic mathematics education in supporting prospective mathematics teachers’ numeracy skills: A learning trajectory. Journal on Mathematics Education, 16(2), 671–688. https://doi.org/10.22342/jme.v16i2.pp671-688
  29. Oliveira, H., Polo Blanco, I., & Henriques, A. (2021). Exploring prospective elementary mathematics teachers’ knowledge: a focus on functional thinking. Journal on Mathematics Education, 12(2), 257-278. http://doi.org/10.22342/jme.12.2.13745.257-278
  30. Pascual, M. I. (2021). El conocimiento del formador de maestros en la etapa de formación inicial, en relación con la enseñanza de la Didáctica de las Matemáticas. Un estudio de caso [Doctoral dissertation]. Universidad de Huelva. http://hdl.handle.net/10272/20208
  31. Patton, M. Q. (2014). Qualitative Research & Evaluation Methods. SAGE Publications.
  32. Pérez-Montilla, A., Cardeñoso, J. M., & Montes, M. Á. (2025). Una mirada al conocimiento del educador de docentes de matemáticas: un estudio de caso. Enseñanza de las Ciencias, 43(1), 23-40. https://doi.org/10.5565/rev/ensciencias.6065
  33. Perks, P., & Prestage, S. (2008). Tools for learning about teaching and learning. In B. Jaworski & T. Wood (Eds.), International Handbook of Mathematics Teacher Education: Volume 4 (pp. 265-280). Brill Sense.
  34. Reyes-Bravo, M., Pascual, M. I., Contreras, L. C., & Estrella, S. (2024). Doble mirada del formador de profesorado de matemáticas: oportunidad para identificar su conocimiento. PNA, 18(5), 467-493.https://doi.org/10.30827/pna.v18i5.29431
  35. Rojas, F., Montenegro, H., Goizueta, M., & Martínez, S. (2021). Researching modelling by mathematics teacher educators: shifting the focus onto teaching practices. In M. Goos & K. Beswick (Eds.), The Learning and Development of Mathematics Teacher Educators: International Perspectives and Challenges (pp. 367-382). Springer. https://doi.org/10.1007/978-3-030-62408-8_19
  36. Rojas, F., Rojas, D., Araneda, R., Montenegro, H., & Martínez, S. (2023). Mathematics teacher educators’ conceptions of professional learning. In P. Drijvers, C. Csapodi, H. Palmér, L. Gosztonyi & E. Herendiné-Kónya (Eds.), Proceedings of the 13th Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 4808-4815). Alfréd Rényi Institute of Mathematics and ERME. https://hal.science/hal-04420730v1
  37. Shulman, L. S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
  38. TSG-35 Working Group. (2024). Knowledge and practice of mathematics teacher educators. In J. Wang (Ed.), Proceedings of the 14th International Congress on Mathematical Education (pp. 497-502). World scientific. https://doi.org/10.1142/9789811287152_0059
  39. Zaslavsky, O., & Leikin, R. (2004). Professional Development of Mathematics Teacher Educators: Growth Through Practice. Journal of Mathematics Teacher Education, 7, 5-32. https://doi.org/10.1023/B:JMTE.0000009971.13834.e1
  40. Zopf, D. (2010). Mathematical knowledge for teaching teachers: The mathematical work of and knowledge entailed by teacher education [Unpublished doctoral dissertation]. University of Michigan.