“O que descobriram?” Tarefas e discussões coletivas usando diferentes representações durante e após estudos de aula

Paula Gomes; João Pedro da Ponte; Marisa Quaresma

doi:10.30827/pna.v18i1.27033

Autores

Paula Gomes Instituto de Educação, Universidade de Lisboa https://orcid.org/0000-0002-8270-6618
João Pedro da Ponte Instituto de Educação, Universidade de Lisboa https://orcid.org/0000-0001-6203-7616
Marisa Quaresma Instituto de Educação, Universidade de Lisboa https://orcid.org/0000-0002-0861-6016

DOI:

https://doi.org/10.30827/pna.v18i1.27033

Palavras-chave:

Discussão coletiva, estudo de aula, Prática letiva, Representações, Tarefas

Resumo

Com base num estudo de caso, procuramos compreender em que medida a participação de uma professora em estudos de aula tem reflexos na sua prática letiva. A recolha de dados incluiu observação participante (com realização de diário de bordo e gravações áudio/vídeo), recolha documental (tarefas e planos de aula) e entrevista. Os resultados indicam que participar em estudos de aula, planeando discussões coletivas a partir das respostas dos alunos, contribuiu para mudanças na prática da professora. Ela propôs uma tarefa que permitiu aos alunos estabelecerem conexões entre representações, e, na discussão coletiva, incentivou a participação de vários alunos e desafiou-os a ir além da tarefa, o que não fez nos estudos de aula.

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Referências

Bogdan, R., e Biklen, S. (1994). Investigação qualitativa em educação. Porto Editora.

Chapman, O. (2013). Mathematical-task knowledge for teaching. Journal of Mathematics Teacher Education, 16(1), 1-6. https://doi.org/10.1007/s10857-013-9234-7 DOI: https://doi.org/10.1007/s10857-013-9234-7

Franke, M.L., Kazemi, E., & Battey, D. (2007). Understanding teaching and classroom practice in mathematics. In F. Lester (Ed.), Second handbook of mathematics teaching and learning (pp. 225-256). Information Age.

Friedlander, A., & Tabach, M. (2001). Promoting multiplie representations in algebra. In A. A. Cuoco & F. Curcio (Eds.), The roles of representation in school mathematics (pp. 173-185). NCTM.

Fujii, T. (2016). Designing and adapting tasks in lesson planning: a critical process of Lesson Study. ZDM, 48(4), 411-423. https://doi.org/10.1007/s11858-016-0770-3 DOI: https://doi.org/10.1007/s11858-016-0770-3

Gomes, P., Quaresma, M., & Ponte, J. P. (2022). Leading whole-class discussions: From participating in a lesson study to teaching practice. International Journal for Lesson and Learning Studies, 12(2), 139-151. https://doi.org/10.1108/IJLLS-02-2022-0022 DOI: https://doi.org/10.1108/IJLLS-02-2022-0022

Inoue, N. (2011). Zen and the art of neriage: Facilitating consensus building in mathematics inquiry lessons through lesson study. Journal of Mathematics Teacher Education, 14(1), 5-23. https://doi.org/10.1007/s10857-010-9150-z DOI: https://doi.org/10.1007/s10857-010-9150-z

Kooloos, C., Oolbekkink-Marchand, H., Kaenders, R., & Heckman, G. (2020). Orchestrating mathematical classroom discourse about various solution methods: Case study of a teacher’s development. Journal Für Mathematik-Didaktik, 41(2), 357-389. https://doi.org/10.1007/s13138-019-00150-2 DOI: https://doi.org/10.1007/s13138-019-00150-2

Lewis, C., Friedkin, S., Emerson, K., Henn, L., & Goldsmith, L. (2019). How does lesson study work? Toward a theory of lesson study process and impact. In R. Huang, Takahashi, & J. P. Ponte (Eds.), Theory and practice of lesson study in mathematics: an international perspective (pp. 13-37). Springer. https://doi.org/10.1007/978-3-030-04031-4_2 DOI: https://doi.org/10.1007/978-3-030-04031-4_2

Mainali, B. (2021). Representation in teaching and learning mathematics. International Journal of Education in Mathematics, Science, and Technology, 9(1), 1-21. https://doi.org/10.46328/ijemst.1111 DOI: https://doi.org/10.46328/ijemst.1111

Ní Shúilleabháin, A. (2018). Enacting curriculum reform through lesson study in the Irish post-primary mathematics classroom. In M. Quaresma, C. Winsløw, S. Clivaz, J.P. Ponte, A. Ní Shúilleabháin, & A. Takahashi (Eds.), Mathematics Lesson Study Around the World: Theoretical and Methodological Issues (pp. 65-85). Springer. https://doi.org/10.1007/978-3-319-75696-7_4 DOI: https://doi.org/10.1007/978-3-319-75696-7_4

Olson, J.C., White, P., & Sparrow, L. (2011). Influence of lesson study on teachers’ mathematics pedagogy. In L. C. Hart, A. S. Alston, & A. Murata (Eds.), Lesson study research and practice in mathematics education (pp. 39-57). Springer. https://doi.org/10.1007/978-90-481-9941-9_4 DOI: https://doi.org/10.1007/978-90-481-9941-9_4

Ponte, J. P. (2005). Gestão curricular em Matemática. In GTI (Ed.), O professor e o desenvolvimento curricular (pp. 11-34). APM.

Ponte, J. P., Mata-Pereira, J., Henriques, A., & Quaresma, M. (2013). Designing and using exploratory tasks. In C. Margolinas (Ed.), Task design in mathematics education. Proceedings of ICMI Study 22 (Vol. 1, pp. 493–500).

Ponte, J.P., & Quaresma, M. (2016). Teachers’ professional practice conducting mathematical discussions. Educational Studies in Mathematics, 93(1), 51-66. https://doi.org/10.1007/s10649-016-9681-z DOI: https://doi.org/10.1007/s10649-016-9681-z

Quaresma, M. e Ponte, J.P. (2016). Comunicação, tarefas e raciocínio: Aprendizagens profissionais proporcionadas por um estudo de aula. Zetetike, 23(2), 297-310. https://doi.org/10.20396/zet.v23i44.8646540 DOI: https://doi.org/10.20396/zet.v23i44.8646540

Rocha, H. (2016). Teacher’s representational fluency in a context of technology use. Teaching Mathematics and Its Applications, 35(2), 53-64. https://doi.org/10.1093/teamat/hrw005 DOI: https://doi.org/10.1093/teamat/hrw005

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 DOI: https://doi.org/10.1080/10986060802229675

Takahashi, A. (2008). Beyond show and tell: Neriage for teaching through problem-solving - ideas from Japanese problem-solving approaches for teaching mathematics. 11th International Congress on Mathematics Education.

Takahashi, A. (2011). Jumping into Lesson Study—In-service mathematics teacher education. In L.C. Hart, A.S. Alston, & A. Murata (Eds.), Lesson Study research and practice in mathematics education (pp. 79-82). Springer. https://doi.org/10.1007/978-90-481-9941-9_6 DOI: https://doi.org/10.1007/978-90-481-9941-9_6