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RESEARCH PAPER
Learning to promote students’ mathematical reasoning: Lesson study contributions in initial teacher education
1
Instituto de Educação, Universidade de Lisboa, Lisboa, PORTUGAL
Online publication date: 2023-03-29
Publication date: 2023-05-01
EURASIA J. Math., Sci Tech. Ed 2023;19(5):em2255
KEYWORDS
ABSTRACT
The aim of this study is to understand how prospective teachers can develop their knowledge
about how to promote students’ mathematical reasoning in a set of sequential lesson studies. The
research follows a qualitative approach and addresses the case of a prospective teacher without
teaching experience. Data was analyzed according to a set of principles regarding the
characteristics of tasks and the teacher’s actions that promote students’ mathematical reasoning.
Reflecting on the students’ work in the lessons that the prospective teacher taught led her to
understand the influence of the proposed tasks and her actions in promoting students’ reasoning,
thus developing her knowledge. Furthermore, the sequential structure of the lesson studies
allowed her to prepare the following lessons based on the in-depth analysis of the previous
lessons and to put into practice what she planned, leading her to rethink her teaching strategies
and improve her practice.
REFERENCES (32)
1.
AERA. (2011). Code of ethics. Educational Researcher, 40(3), 145-156. https://doi.org/10.3102/001318....
2.
Almog, N., & Ilany, B. (2012). Absolute value inequalities: High school students’ solutions and misconceptions. Educational Studies in Mathematics, 81, 347-364. https://doi.org/10.1007/s10649....
3.
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/10.1177/002248....
4.
Bogdan, R. C., & Biklen, S. K. (2007). Quality research for education: An introduction to theory and methods. Pearson.
5.
Brodie, K. (2010). Teaching mathematical reasoning in secondary school classrooms. Springer. https://doi.org/10.1007/978-0-....
6.
Brousseau, G., & Gibel, P. (2005). Didactical handling of students’ reasoning processes in problem solving situations. Educational Studies in Mathematics, 59, 13-58. https://doi.org/10.1007/s10649....
7.
Buchbinder, O., & McCrone, S. (2020). Preservice teachers learning to teach proof through classroom implementation: Successes and challenges. Journal of Mathematical Behavior, 58, 100779. https://doi.org/10.1016/j.jmat....
8.
Davidson, A., Herbert, S., & Bragg, L. A. (2019). Supporting elementary teachers’ planning and assessing of mathematical reasoning. International Journal of Science and Mathematics Education, 17, 1151-1171. https://doi.org/10.1007/s10763....
9.
DGE. (2018). Aprendizagens essenciais de matemática A–10o ano [Essential learning in mathematics A–10th grade]. Ministério da Educação e Ciência [Ministry of Education and Science]. http://www.dge.mec.pt/sites/de....
10.
Fujii, T. (2018). Lesson study and teaching mathematics through problem solving: The two wheels of a cart. In M. Quaresma, C. Winslow, S. Clivaz, J. P. Ponte, A. Ni Shuilleabháin, & A. Takahashi (Eds.), Mathematics lesson study around the world (pp. 1-21). Springer. https://doi.org/10.1007/978-3-....
11.
González, G., Villafañe-Cepeda, W., & Hernández-Rodríguez, O. (2023). Leveraging prospective teachers’ knowledge through their participation in lesson study. Journal of Mathematics Teacher Education, 26, 79-102. https://doi.org/10.1007/s10857....
12.
Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in Mathematics, 96, 1-16. https://doi.org/10.1007/s10649....
13.
Lannin, J., Ellis, A., & Elliott, R. (2011). Developing essential understanding of mathematical reasoning for teaching mathematics in prekindergarten-grade 8. NCTM.
14.
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....
15.
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 [Bolema: Mathematics Education Bulletin], 35(69), 343-364. https://doi.org/10.1590/1980-4....
16.
Martins, M., Ponte, J. P., & Mata-Pereira, J. (2023). Preparing, leading, and reflecting on whole-class discussions: How prospective mathematics teachers develop their knowledge during lesson study. European Journal of Science and Mathematics Education, 11(1), 33-48. https://doi.org/10.30935/scima....
17.
Mata-Pereira, J., & Ponte, J. P. (2017). Enhancing students’ mathematical reasoning in the classroom: teacher actions facilitating generalization and justification. Educational Studies in Mathematics, 96, 169-186. https://doi.org/10.1007/s10649....
18.
Mata-Pereira, J., & Ponte, J. P. (2018). Promover o raciocínio matemático dos alunos: Uma investigação baseada em design [Promoting students’ mathematical reasoning: A design-based research]. Bolema: Boletim de Educação Matemática [Bolema: Mathematics Education Bulletin], 32(62), 781-801. https://doi.org/10.1590/1980-4....
19.
Mendes, F., Delgado, C., & Brocardo, J. (2022). Challenges faced by preservice teachers in planning and exploring tasks that promote mathematical reasoning. Acta Scientiae [Journal of Science], 24(4), 147-182. https://doi.org/10.17648/acta.....
20.
NCTM. (2014). Principles to actions: Ensuring mathematical success for all. NCTM.
22.
Oliveira, H., & Henriques, A. (2021). Preservice mathematics teachers’ knowledge about the potential of tasks to promote students’ mathematical reasoning. International Journal of Research in Education and Science, 7(4), 1300-1319. https://doi.org/10.46328/ijres....
23.
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 prática de la educación matemática [Theory, criticism and practice of mathematics education] (pp. 83-98). Graó.
24.
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-....
25.
Ponte, J. P., & Chapman, O. (2016). Prospective mathematics teachers’ learning and knowledge for teaching. In L. English, & D. Kisrshner (Eds.), Handbook of international research in mathematics education (pp. 275-296). Routledge. https://doi.org/10.4324/978020....
26.
Ponte, J. P., Quaresma, M., & Mata-Pereira, J. (2017a). The challenge of mathematical discussions in teachers’ professional practice. Didacticae [Didactic], 1, 45-59. https://doi.org/10.1344/did.20....
27.
Ponte, J. P., Santos, L., Oliveira, H., & Henriques, A. (2017b). Research on teaching practice in a Portuguese initial secondary mathematics teacher education program. ZDM, 49, 291-303. https://doi.org/10.1007/s11858....
28.
Potari, D., & Ponte, J. P. (2017). Current research on prospective secondary mathematics teachers’ knowledge. In M. E. Strutchens, R. Huang, L. Losano, D. Potari, M. C. C. T. Cyrino, & R. M. Zbiek (Eds.), The mathematics education of prospective secondary teachers around the world (pp. 3-15). Springer. https://doi.org/10.1007/978-3-....
29.
Ramos-Rodríguez, E., Flores Martínez, P., & Ponte, J. P. (2017). An approach to the notion of reflective teacher and its exemplification on mathematics education. Systemic Practice and Action Research, 30, 85-102.https://doi.org/10.1007/s11213....
30.
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/10.1080/109860....
31.
Stylianides, G. J., Stylianides, A. J., & Shilling-Traina, L. N. (2013). Prospective teachers’ challenges in teaching reasoning-and-proving. International Journal of Science and Mathematics Education, 11, 1463-1490. https://doi.org/10.1007/s10763....
32.
Willems, I., & Bossche, P. Van den. (2019). Lesson Study effectiveness for teachers’ professional learning: A best evidence synthesis. International Journal for Lesson and Learning Studies, 8(4), 257-271. https://doi.org/10.1108/IJLLS-....
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