Task design and enactment: Developing in-service and prospective teachers’ didactical knowledge in lesson study

Paula Gomes; Micaela Martins; Marisa Quaresma; Joana Mata-Pereira; João Pedro da Ponte

doi:10.29333/ejmste/12172

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Paula Gomes ¹ ^* , Micaela Martins ¹ , Marisa Quaresma ¹ , Joana Mata-Pereira ¹ , João Pedro da Ponte ¹

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¹ Instituto de Educação, Universidade de Lisboa, Lisboa, PORTUGAL^* Corresponding Author

Abstract

Designing tasks to foster students’ learning is challenging for teachers. In this article, we aim to understand how designing, enacting, and reflecting on tasks promotes the development of in-service and prospective teachers’ didactical knowledge during lesson study. Data was collected through participant observation with audio recordings and document collection. Data analysis was based on a category system for task design and students’ work and a teachers’ didactical knowledge framework. The results suggest that, despite their different teaching experiences, there are aspects that both in-service and prospective teachers attended to when designing tasks. However, in-service teachers had clearer aims when designing tasks and changed them, after observing and reflecting on students’ work. Moreover, proposing tasks and reflecting on students’ work allowed both groups to rethink their practice to foster students’ learning, highlighting the potential of lesson study to deepen their knowledge.

Keywords

in-service teachers
lesson study
mathematics
prospective teachers
task design
teachers’ didactical knowledge

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, 2022, Volume 18, Issue 7, Article No: em2131

https://doi.org/10.29333/ejmste/12172

Publication date: 25 Jun 2022

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References

AERA. (2011). Code of ethics. Educational Researcher, 40(3), 145-156. https://doi.org/10.3102/0013189X11410403
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
Barber, K. (2018). Developing teachers’ mathematical-task knowledge and practice through lesson study. International Journal for Lesson and Learning Studies, 7(2), 136-149. https://doi.org/10.1108/IJLLS-09-2017-0042
Bogdan, R., & Biklen, S. (1994). Investigação qualitativa em educação [Qualitative research for education]. Porto Editora.
Coenders, F. G., & Verhoef, N. C. (2019). Lesson study: Professional development (PD) for beginning and experienced teachers. Professional Development in Education, 45(2), 217-230. https://doi.org/10.1080/19415257.2018.1430050
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. Takahashi (Eds.), Mathematics lesson study around the world (pp. 1-21). Springer. https://doi.org/10.1007/978-3-319-75696-7_1
Fujii, T. (2019). Designing and adapting tasks in lesson planning: A critical process of lesson study. In R. Huang, A. Takahashi, & J. P. da Ponte (Eds.), Theory and practice of lesson study in mathematics (pp. 681-704). Springer International Publishing. https://doi.org/10.1007/978-3-030-04031-4_33
Groves, S., Doig, B., Vale, C., & Widjaja, W. (2016). Critical factors in the adaptation and implementation of Japanese lesson study in the Australian context. ZDM-Mathematics Education, 48(4), 501-512. https://doi.org/10.1007/s11858-016-0786-8
Jesus, C. C., Cyrino, M. C., & Oliveira, H. (2018). Análise de tarefas cognitivamente desafiadoras em um processo de formação de professores de matemática [Analysis of cognitively challenging tasks in a process of mathematics teacher education]. Educação Matemática Pesquisa: Revista Do Programa de Estudos Pós-Graduados Em Educação Matemática [Mathematics Education Research: Journal of the Postgraduate Studies Program in Mathematics Education], 20(2), 21-46. https://doi.org/10.23925/1983-3156.2018v20i2p21-46
Leavy, A. M., & Hourigan, M. (2016). Using lesson study to support knowledge development in initial teacher education: Insights from early number classrooms. Teaching and Teacher Education, 57, 161-175. https://doi.org/10.1016/j.tate.2016.04.002
Martins, M., Mata-Pereira, J., & Ponte, J. P. (2021). Os desafios da abordagem exploratória no ensino da matemática: Aprendizagens de duas futuras professoras através do estudo de aula [The challenges of the exploratory approach in mathematics teaching: Preservice teachers’ learning through lesson study] Bolema: Boletim de Educação Matemática, 35(69), 343-364. https://doi.org/10.1590/1980-4415v35n69a16
Meiliasari, M. (2019). Mathematics pre-service teachers’ anticipation of students’ responses: A case study of lesson study for pre-service teachers. In Y. Rahmawati, & P. C. Taylor (Eds.), Empowering science and mathematics for global competitiveness (pp. 472-478). CRC Press. https://doi.org/10.1201/9780429461903-65
Ni Shuilleabhain, A., & Seery, A. (2017). Enacting curriculum reform through lesson study: A case study of mathematics teacher learning. Professional Development in Education, 44(2), 222-236. https://doi.org/10.1080/19415257.2017.1280521
Ponte, J. P. (2005). Gestão curricular em matemática [Curriculum management in mathematics]. In GTI (Ed.), O professor e o desenvolvimento curricular (pp. 11–34). APM.
Ponte, J. P. (2012). Estudiando el conocimiento y el desarrollo profesional del profesorado de matemáticas [Studying the knowledge and professional development of mathematics teachers]. In N. Planas (Ed.), Teoría, crítica y práctica de la educatión matemática (pp. 83–98). Graó.
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. (2020). Como desenvolver o raciocínio matemático na sala de aula? [How to develop mathematical reasoning in the classroom?]. Educação e Matemática, 156, 7-11.
Quaresma, M., & Ponte, J. P. (2016). Comunicação, tarefas e raciocínio: Aprendizagens profissionais proporcionadas por um estudo de aula [Communication, tasks and reasoning: Professional learning provided by a lesson study]. Zetetike, 23(2), 297-310. https://doi.org/10.20396/zet.v23i44.8646540
Quaresma, M., & Ponte, J. P. (2017). Dinâmicas de aprendizagem de professores de matemática no diagnóstico dos conhecimentos dos alunos num estudo de aula [Learning dynamics of mathematics teachers in the diagnosis of students' knowledge in a lesson study]. Quadrante, 26(2), 43-68.
Richit, A., & Tomkelski, M.L. (2020). Secondary school mathematics teachers’ professional learning in a lesson study. Acta Scientiae [Journal of Science], 22(3), 2-27. https://doi.org/10.17648/acta.scientiae.5067
Santos, L., Oliveira, H., Ponte, J. P., & Henriques, A. (2019). Pre-service teachers’ experiences in selecting and proposing challenging tasks in secondary classrooms. In Proceedings of the 11^th Congress of European Research in Mathematics Education (pp. 3762-3769).
Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10(4), 313-340. https://doi.org/10.1080/10986060802229675
Zhang, Y. (2015). Sustaining lesson study in schools with positive leadership. International Journal of Lesson and Learning Studies, 4(2), 140-154. https://doi.org/10.1108/IJLLS-07-2014-0018

How to cite this article

APA

Gomes, P., Martins, M., Quaresma, M., Mata-Pereira, J., & Ponte, J. P. D. (2022). Task design and enactment: Developing in-service and prospective teachers’ didactical knowledge in lesson study. Eurasia Journal of Mathematics, Science and Technology Education, 18(7), em2131. https://doi.org/10.29333/ejmste/12172

Vancouver

Gomes P, Martins M, Quaresma M, Mata-Pereira J, Ponte JPD. Task design and enactment: Developing in-service and prospective teachers’ didactical knowledge in lesson study. EURASIA J Math Sci Tech Ed. 2022;18(7):em2131. https://doi.org/10.29333/ejmste/12172

AMA

Gomes P, Martins M, Quaresma M, Mata-Pereira J, Ponte JPD. Task design and enactment: Developing in-service and prospective teachers’ didactical knowledge in lesson study. EURASIA J Math Sci Tech Ed. 2022;18(7), em2131. https://doi.org/10.29333/ejmste/12172

Chicago

Gomes, Paula, Micaela Martins, Marisa Quaresma, Joana Mata-Pereira, and João Pedro da Ponte. "Task design and enactment: Developing in-service and prospective teachers’ didactical knowledge in lesson study". Eurasia Journal of Mathematics, Science and Technology Education 2022 18 no. 7 (2022): em2131. https://doi.org/10.29333/ejmste/12172

Harvard

Gomes, P., Martins, M., Quaresma, M., Mata-Pereira, J., and Ponte, J. P. D. (2022). Task design and enactment: Developing in-service and prospective teachers’ didactical knowledge in lesson study. Eurasia Journal of Mathematics, Science and Technology Education, 18(7), em2131. https://doi.org/10.29333/ejmste/12172

MLA

Gomes, Paula et al. "Task design and enactment: Developing in-service and prospective teachers’ didactical knowledge in lesson study". Eurasia Journal of Mathematics, Science and Technology Education, vol. 18, no. 7, 2022, em2131. https://doi.org/10.29333/ejmste/12172