Profiles of Pre-service Secondary Mathematics Teachers’ Self-perceptions of Professional Competencies and the Opportunities for Development

Authors

  • Maria Martínez Videla Universidad de O´Higgins
  • Josefa Perdomo-Diaz Universidad de la Laguna
  • Valentina Giaconi Universidad O´Higgins
  • Felipe Ruz Pontificia Universidad Católica de Valparaíso

Keywords:

mathematics teacher education, pre-service teacher education, professional competence, teacher professional competencies, self-perceptions

Abstract

The study reported in this article examined pre-service secondary mathematics teachers' perceptions about the development of their professional competencies and the opportunities offered by their university teacher education program to develop these competencies. Three competence components are considered: mathematical competencies, competencies for teaching mathematics, and pedagogical competencies. The research was conducted at a recently established public university, with a questionnaire designed based on the professional competencies stated in its Mathematics Teacher Education Program. Participants were 78 pre-service teachers from different academic years. Most participants perceived that they reached a medium or high level of development of their competencies and that the program offered them several or many opportunities for such development. A cluster analysis identified three profiles characterised by high (41%), medium (41%) and low (18%) levels of perceived competence development and opportunities. Bivariate analysis showed significant relationships among these profiles, the number of completed study years, and the participants' levels of academic commitment. The implications for evaluating pre-service teacher education programs, the study's limitations and directions for future research are discussed.

References

Baartman, L. K., Bastiaens, T. J., Kirschner, P. A., & Van der Vleuten, C. P. (2007). Evaluating assessment quality in competence-based education: A qualitative comparison of two frameworks. Educational Research Review, 2(2), 114–129. https://doi.org/10.1016/j.edurev.2007.06.001

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

Banta, T. W., & Palomba, C. A. (2014). Assessment essentials: Planning, implementing, and improving assessment in higher education. John Wiley & Sons.

Baumert, J., & Kunter, M. (2013). The COACTIV model of teachers’ professional competence. 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, mathematics teacher education, (pp. 25–48). Springer. https://doi.org/10.1007/978-1-4614-5149-5_2

Blömeke, S., Gustafsson, J. E., & Shavelson, R. J. (2015). Beyond dichotomies. Competence viewed as a continuum. Zeitschrift für Psychologie, 223(1), 3–13. https://doi.org/10.1027/2151-2604/a000194

Blömeke, S., Jentsch, A., Ross, N., Kaiser, G., & König, J. (2022). Opening up the black box: Teacher competence, instructional quality, and students’ learning progression. Learning and Instruction, 79, Article 101600. https://doi.org/10.1016/j.learninstruc.2022.101600

Canrinus, E. T., Klette, K., & Hammerness, K. (2019). Diversity in coherence: Strengths and opportunities of three programs. Journal of Teacher Education, 70(3), 192–205. https://doi.org/10.1177/0022487117737305

Carrillo, J., Climent, N., Contreras, L. C., & Muñoz-Catalán, C. (2013). Determining specialised knowledge for mathematics teaching. In B. Ubuz, C. Haser & M. A. Mariotti (Eds.), Proceedings of the VIII CERME (pp. 2985–2994). ERME.

Clift R. T., & Brady P. (2005). Research on methods courses and field experiences. In M. Cochran-Smith & K. M. Zeichner (Eds.), Studying teacher education (pp. 309–424). Lawrence Erlbaum.

Deci, E. L., & Ryan, M. R. (2000). The "what" and "why" of goal pursuits: Human needs and the self-determination of behavior. Psychological Inquiry: An International Journal for the Advancement of Psychological Theory, 11(4), 227–268. https://doi.org/10.1207/S15327965PLI1104_01

EURYDICE. (2013). Cifras clave del profesorado y la dirección de centros educativos en Europa. [Key figures on teachers and school leadership in Europe]. https://www.libreria.educacion.gob.es/libro/cifras-clave-del-profesorado-y-la-direccion-de-centros-educativos-en-europa-edicion-2013_172474/

Fu, Y., & Kartal, O. (2023). Developing preservice teachers' self-efficacy and growth mindset for teaching Mathematics: Practices from a mathematics methods course. Mathematics Teacher Education and Development, 25(2), Article 4.

Hernández-Sampieri, R., & Torres, C. P. M. (2018). Metodología de la investigación: las rutas cuantitativa, cualitativa y mixta [Research methodology: Quantitative, qualitative and mixed routes]. McGraw-Hill Interamericana.

Ingvarson, L., & Rowley, G. (2017). Quality assurance in teacher education and outcomes: A study of 17 countries. Educational Researcher, 46(4), 177–193. https://doi.org/10.3102/0013189X17711900

Jevšček, M. (2016). Competencies assessment using fuzzy logic. Journal of Universal Excellence (JUE)/Revija za Univerzalno Odličnost (RUO), 5(2), 187–202.

Law N° 20.903. (2016). Diario Oficial de la República de Chile [Official Gazette of the Republic of Chile], Santiago, Chile, 1ero Abril, 2016. https://www.leychile.cl/Navegar?idNorma=1087343&idParte=

Martínez Videla, M. V., Rojas Sateler, F., Ulloa, R., Chandía, E., Ortíz, A., & Perdomo Díaz, J. (2019). Beliefs and mathematical school knowledge at the beginning of pre-service primary teacher education. Pensamiento Educativo, Revista de Investigación Latinoamericana (PEL), 56(2), 1–19. https://doi.org/10.7764/PEL.56.2.2019.9

McClelland, D. C. (1973). Testing for competence rather than for "intelligence." American Psychologist, 28(1), 1–14. https://doi.org/10.1037/h0034092

McDonnell, L. M. (1995). Opportunity to learn as a research concept and a policy instrument. Educational Evaluation and Policy Analysis, 17(3), 305–322. https://doi.org/10.3102/01623737017003305

Metsäpelto, R. L., Poikkeus, A. M., Heikkilä, M., Husu, J., Laine, A., Lappalainen, K., & Suvilehto, P. (2022). A multidimensional adapted process model of teaching. Educational Assessment, Evaluation and Accountability, 34, 143–172. https://doi.org/10.1007/s11092-021-09373-9

Muñiz-Rodríguez, L., Aguilar-González, Á., & Rodríguez-Muñiz, L. J. (2020). Perfiles del futuro profesorado de matemáticas a partir de sus competencias profesionales [Profiles of future mathematics teachers based on their professional skills]. Enseñanza de las Ciencias, 38(2), 141–161. https://doi.org/10.5565/rev/ensciencias.3161

OECD. (2019). PISA 2018 assessment and analytical framework. OECD Publishing. https://doi.org/10.1787/13c8a22c-en

Rodgers, W. M., Markland, D., Selzler, A. M., Murray, T. C. & Wilson, P. M. (2014). Distinguishing perceived competence and self-efficacy: An example from exercise. Research Quarterly for Exercise and Sport, 85(4), 527–539. https://doi.org/10.1080/02701367.2014.961050

Rodríguez Alveal, F., Vásquez Ortiz, C., & Rojas Sateler, F. (2019). Formación inicial docente en profesores de matemática: Una mirada desde la evaluación nacional diagnóstica [Initial teacher training in mathematics teachers: A look from the national diagnostic evaluation]. Estudios Pedagógicos, 45(2), 141–153. https://doi.org/10.4067/S0718-07052019000200141

Santagata, R., & Yeh, C. (2016). The role of perception, interpretation, and decision making in the development of beginning teachers’ competence. ZDM Mathematics Education, 48, 153–165. https://doi.org/10.1007/s11858-015-0737-9

Schmidt, W. H., & Maier, A. (2009). Opportunity to learn. In G. Sykes, B. L. Schneider, & D. N. Plank (Eds.), Handbook of education policy research. (pp. 541–549). Routledge.

Schmidt, W. H., Cogan, L., & Houang, R. (2011). The role of opportunity to learn in teacher preparation: An international context. Journal of Teacher Education, 62(2), 138–153. https://doi.org/10.1177/0022487110391987

Schmidt, W. H., Cogan, L., & Houang, R. (2014). Emphasis and balance among the components of teacher preparation: The case of lower-secondary school mathematics teacher education. In S. Blömeke, F. J. Hsieh, G. Kaiser, & W. Schmidt (Eds.), International perspectives on teacher knowledge, beliefs and opportunities to learn (pp. 371–392). Springer. https://doi.org/10.1007/978-94-007-6437-8_17

Shulman, L. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. https://doi.org/10.2307/1175860

Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–22.

Struyven, K., & De Meyst, M. (2010). Competence-based teacher education: Illusion or reality? An assessment of the implementation status in Flanders from teachers’ and students’ points of view. Teaching and Teacher Education, 26(8), 1495–1510. https://doi.org/10.1016/j.tate.2010.05.006

Tatto, M. T., Chen, Z., & Hernandez, A. S. (2025). Enhancing mathematics education: Regional insights on formative instructional practices. ZDM Mathematics Education, 57(6), 1207–1221. https://doi.org/10.1007/s11858-025-01711-1

Tatto, M. T., Schwille, J., Senk, S., Ingvarson, L., Peck, R., & Rowley, G. (2008). Teacher Education and Development Study in Mathematics (TEDS-M): Policy, practice, and readiness to teach primary and secondary mathematics. Conceptual framework. Teacher Education and Development International Study Center, College of Education, Michigan State University.

Tuning Subject Area Group of Education. (2009). Tuning educational structures in Europe. Reference points for the design and delivery of degree programmes in education. Publicaciones de la Universidad de Deusto. http://www.unideusto.org/tuningeu/images/stories/Publications/Education_brochure.pdf

Zlatkin-Troitschanskaia, O., Shavelson, R. J., & Bartnik, T. N. (2025). What have we learned about modelling and assessing mathematics teachers’ competence? Insights from a literature review. ZDM Mathematics Education, 57(6), 1093–1108. https://doi.org/10.1007/s11858-025-01689-w

Downloads

Published

2026-03-06

Issue

Section

Articles