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References
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Cohen, L., Manion, L., & Morrison, K. (2000). Research methods in education. Routledge Falmer.
- 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
- 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
- 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.
- 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
- 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
- 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.
- 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.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Patton, M. Q. (2014). Qualitative Research & Evaluation Methods. SAGE Publications.
- 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
- 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.
- 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
- 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
- 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
- Shulman, L. S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
- 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
- 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
- Zopf, D. (2010). Mathematical knowledge for teaching teachers: The mathematical work of and knowledge entailed by teacher education [Unpublished doctoral dissertation]. University of Michigan.
References
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
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
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
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
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
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
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
Cohen, L., Manion, L., & Morrison, K. (2000). Research methods in education. Routledge Falmer.
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
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
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.
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
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
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.
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.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Patton, M. Q. (2014). Qualitative Research & Evaluation Methods. SAGE Publications.
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
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.
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
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
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
Shulman, L. S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
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
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
Zopf, D. (2010). Mathematical knowledge for teaching teachers: The mathematical work of and knowledge entailed by teacher education [Unpublished doctoral dissertation]. University of Michigan.
