The development of mathematical knowledge of prospective primary teachers in a lesson study

Linda Cardoso 1 * , João Pedro da Ponte 1, Marisa Quaresma 1
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1 UIDEF, Institute of Education, University of Lisbon, Lisbon, PORTUGAL
* Corresponding Author
EUR J SCI MATH ED, Volume 13, Issue 4, pp. 368-384. https://doi.org/10.30935/scimath/17415
Published: 11 November 2025
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ABSTRACT

This research aims to understand how lesson study may promote the development of mathematical knowledge in prospective primary teachers, more specifically, what aspects of mathematical knowledge they mobilize or develop and how. The research follows a qualitative approach and the interpretive paradigm and was carried out in a Portuguese institution where lesson study was undertaken in the final year of the initial teacher education of prospective teachers. The data was collected through video recording of the sessions and recording in a logbook, semi-structured interviews and document collection. Four prospective teachers, two teacher educators, and the researcher participated in the lesson study. The research lesson focused on numbers and operations. The results suggest that lesson study is a formative process with potential to develop the mathematical knowledge of prospective primary teachers, by providing an integrated and collaborative setting for this development and enriching experiences through its opportunity to plan-observe-reflect that enables a greater connection between theory and practice. The prospective teachers mobilized and developed mathematical knowledge about the topic, the structure of mathematics, and mathematical practice, through their involvement in lesson study activities, namely: (1) solving and discussing adaptations of tasks and anticipating students’ strategies and their possible difficulties; (2) discussing among prospective teachers and teacher educators about detailed aspects of the planning of the research lesson and reflecting on the lesson events and students’ learning; and (3) sharing ideas and discussions with the teacher educators guiding the process.

CITATION

Cardoso, L., da Ponte, J. P., & Quaresma, M. (2025). The development of mathematical knowledge of prospective primary teachers in a lesson study. European Journal of Science and Mathematics Education, 13(4), 368-384. https://doi.org/10.30935/scimath/17415

REFERENCES

  • 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
  • Bardin, L. (1977). Análise de conteúdo [Content analysis]. Edições 70.
  • Branco, N. C. V. (2013). O desenvolvimento do pensamento algébrico na formação inicial de professores dos primeiros anos [The development of algebraic thinking in the initial training of primary school teachers] [PhD thesis, Universidade de Lisboa]. http://hdl.handle.net/10451/8860
  • Cardoso, L., Ponte, J. P., & Quaresma, M. (2023). The development of pedagogical content knowledge of prospective primary teachers in a lesson study. International Journal for Lesson and Learning Studies, 12(2), 152–165. https://doi.org/10.1108/IJLLS-02-2022-0027
  • Carrillo-Yañez, J., Climent, N., Montes, M., Contreras, L. C., Flores-Medrano, E., Escudero-Ávila, D., Vasco, D., Rojas, N., Flores, P., Aguilar-González, A., Ribeiro, M., & Muñoz-Catalán, M. (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
  • Erickson, F. (1986). Qualitative methods in research on teaching. In M. C. Wittrock (Ed.), Handbook of research on teaching (pp. 119–161). MacMillan.
  • Fujii, T. (2018). Lesson study and teaching mathematics through problem solving: The two wheels of a cart. In M. Quaresma, C. Winsløw, S. Clivaz, J. P. Ponte, A. Ní Shúilleabháin, & A.Takahash (Eds.), Mathematics lesson study around the world (pp. 1–21). Springer. https://doi.org/10.1007/978-3-319-75696-7_1
  • Hourigan, M., & Leavy, A. M. (2019). Learning from teaching: Pre-service primary teachers’ perceived learning from engaging in formal Lesson Study. Irish Educational Studies, 38(3), 283–308. https://doi.org/10.1080/03323315.2019.1613252
  • Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in Mathematics, 96(1), 1–16. https://doi.org/10.1007/s10649-017-9761-8
  • Jorgensen, D. L. (1989). Participant observation: A methodology for human studies. SAGE. https://doi.org/10.4135/9781412985376
  • Larssen, D., Cajkler, W., Mosvold, R., Bjuland, R., Helgevold, N., Fauskanger, J., Wood, P., Baldry, F., Jakobsen, A., Bugge, H., Næsheim-Bjørkvik, G., & Norton, J. (2018). A literature review of lesson study in initial teacher education: Perspectives about learning and observation. International Journal for Lesson & Learning Studies, 7(1), 8–22. https://doi.org/10.1108/IJLLS-06-2017-0030
  • Leavy, A., & Hourigan, M. (2018). Using lesson study to support the teaching of early number concepts: Examining the development of prospective teachers’ specialized content knowledge. Early Childhood Education Journal, 46, 47–60. https://doi.org/10.1007/s10643-016-0834-6
  • Murata, A. (2011). Introduction: Conceptual overview of lesson study. In L. C. Hart, A. Alston, & A. Murata (Eds.), Lesson study research and practice in mathematics education: Learning together (pp. 1–12). Springer. https://doi.org/10.1007/978-90-481-9941-9_1
  • Ni Shuilleabhain, A. (2016). Developing mathematics teachers’ pedagogical content knowledge in lesson study: Case study findings. International Journal for Lesson and Learning Studies, 5(3), 212–226. https://doi.org/10.1108/IJLLS-11-2015-0036
  • Piñeiro, J. L., Chapman, O., Castro-Rodríguez, E., & Castro, E. (2022). Prospective primary teachers’ initial mathematical problem-solving knowledge. International Journal of Mathematical Education in Science and Technology, 55(8), 1914–1937. https://doi.org/10.1080/0020739X.2022.2107958
  • Ponte, J. P. (2017). Lesson studies in initial mathematics teacher education. International Journal for Lesson and Learning Studies, 6(2), 169–181. https://doi.org/10.1108/IJLLS-08-2016-0021
  • Ponte, J. P., Quaresma, M., Mata-Pereira, J., & Baptista, M. (2016). O estudo de aula como processo de desenvolvimento profissional de professores de Matemática [Lesson study as a professional development process of mathematics teachers]. Bolema: Boletim de Educação Matemática, 30(56). 868–891. https://doi.org/10.1590/1980-4415v30n56a01
  • Richit, A., Ponte, J. P., & Quaresma, M. (2021). Aprendizagens profissionais de professores evidenciadas em pesquisas sobre estudos de aula [Teachers’ professional learning revealed in lesson study research]. Bolema: Boletim de Educação Matemática, 35(70), 1107–1137. https://doi.org/10.1590/1980-4415v35n70a26
  • Serrazina, L., Barbosa, A., Caseiro, A., Ribeiro, A., Monteiro, C., Loureiro, C., Fernandes, F., Veloso, G., Vale, I., Fonseca, L., Menezes, L., Rodrigues, M., Almeida, P., Pimentel, T., & Tempera, T. (2014). O conhecimento matemático dos estudantes no início da licenciatura em educação básica: Um projeto envolvendo três escolas superiores de educação [Mathematical knowledge of students at the beginning of the undergraduate degree in basic education: A project involving three higher schools of education]. In G. Portugal, A. I. Andrade, C. Tomaz, F. Martins, J. A. Costa, M. R. Migueis, R. Neves, & R. M. Vieira (Eds.), Formação inicial de professores e educadores: Experiências em contexto português (pp. 115–131). UA Editora.
  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. https://doi.org/10.3102/0013189X015002004
  • Strutchens, M. E., Huang, R., Losano, L., Potari, D., Cyrino, M. C. de C. T., Ponte, J. P., & Zbiek, R. M. (2016). The mathematics education of prospective secondary teachers around the world. Springer. https://doi.org/10.1007/978-3-319-38965-3
  • Stuardo-Aguayo, A., Gea, M. M., Begué, N., & Batanero, C. (2025). Prospective primary school teachers’ mathematical knowledge of sampling. Eurasia Journal of Mathematics, Science and Technology Education, 21(1), Article em2569. https://doi.org/10.29333/ejmste/15895
  • Stylianides, A. J., & Stylianides, G. J. (2006). Content knowledge for mathematics teaching: The case of reasoning and proving. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), Proceedings of the 30th PME International Conference (vol. 5, pp. 201–208). PME.
  • Takahashi, A., & McDougal, T. (2018). Collaborative lesson research (CLR). In M. Quaresma, C. Winsløw, S. Clivaz, J. P. Ponte, A. Ní Shúilleabháin, & A. Takahashi (Eds.), Mathematics lesson study around the world (pp. 143–152). Springer. https://doi.org/10.1007/978-3-319-75696-7_8
  • Tan, S., Goei. S. L., Willemse, T. M. (2024). Global insights on lesson study in initial teacher education: A systematic literature review encompassing English, Japanese, and Chinese language sources. Teaching and Teacher Education, 152, Article 104791. https://doi.org/10.1016/j.tate.2024.104791
  • Tepylo, D. H., & Moss, J. (2011). Examining change in teacher mathematical knowledge through lesson study. In L. Hart, A. Alston, & A. Murata (Eds.), Lesson study research and practice in mathematics education (pp. 59–77). Springer. https://doi.org/10.1007/978-90-481-9941-9_5
  • Vieira, R., Ponte, J. P., & Mata-Pereira, J. (2022). Conhecimento matemático de futuros professores: aprendizados realizados num estudo de aula [Mathematical knowledge of prospective teachers: Learning in a lesson study]. Bolema: Boletim de Educação Matemática, 36(73), 822–843. https://doi.org/10.1590/1980-4415v36n73a10
  • Vieira, W., Rodrigues, M., & Serrazina, L. (2020). O conhecimento de futuros professores sobre os processos de raciocínio matemático antes e depois de uma experiência de formação [Future teachers’ knowledge of mathematical reasoning processes before and after a training experience]. Quadrante, 29(1), 8–35. https://doi.org/10.48489/quadrante.23012