Palavras-chave
Tarefas de aprendizagem profissional
Modelo teórico
Formação de professores
Como Citar
Resumo
Compreender como se constitui a aprendizagem de professores é uma importante área de pesquisa na formação de professores, com muitas questões em aberto a serem ainda investigadas. Assim, neste artigo, apresentamos um modelo teórico cujo principal objetivo é permitir o desenho de programas de formação de professores, bem como orientar a compreensão das oportunidades de aprendizagem profissional para os professores. Com base em nossos resultados de pesquisa em ensino e aprendizagem de álgebra e em uma revisão de literatura, descrevemos como o modelo foi elaborado e trazemos algumas situações ilustrativas para indicar o modelo “em ação” durante todo o processo de formação de professores. A arquitetura do programa permitiu que os professores experimentassem oportunidades de aprendizagem profissional vinculadas a conhecimentos matemáticos e didáticos sobre padrões e regularidades, bem como a oportunidade de aprender uns com os outros, superando o isolamento causado pelo trabalho diário em suas escolas e levando-os a explorar práticas próximas à própria realidade escolar.
Referências
Adler, J., & Ronda, E. (2014). An analytical framework for describing teachers’ mathematics discourse in instruction. Proceedings of PME 38 and PME-NA 36, 2, 9–16.
Ball, D. L., Ben-Peretz, M., & Cohen, R. B. (2014). Records of practice and the development of collective professional knowledge. British Journal of Educational Studies, 62(3), 317-335.
Ball, D. L., & Cohen, D. K. (1999). Developing practice, developing practitioners: Toward a practice-based theory of professional education. In G. Sykes & L. Darling-Hammond (Eds.), Teaching as the learning profession: Handbook of policy and practice (pp. 3-32). San Francisco, CA: Jossey Bass.
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.
Beilstein, O. B., Perry, M., & Bates, M. S. (2017). Prompting meaningful analysis from pre-service teachers using elementary mathematics video vignettes. Teaching and Teacher Education, 63, 285-295, http://dx.doi.org/10.1016/j.tate.2017.01.005
Borko, H., Jacobs, J., Eiteljorg, E., & Pittman, M. E. (2008). Video as a tool for fostering productive discussions in mathematics professional development. Teaching and Teacher Education, 24, 417-436. https://doi.org/10.1016/j.tate.2006.11.012
Borko, H., Jacobs, J., Seago, N., & Mangram, C. (2014). Facilitating video-based professional development: Planning and orchestrating productive discussions. In Li et al. (Eds.). Transforming mathematics instruction: Multiple approaches and practices (pp. 259-281). DOI 10.1007/978-3-319-04993-9_.
Boston, M., & Smith, M. (2009). Transforming secondary mathematics teaching: Increasing the cognitive demands of instructional tasks used in teachers’ classrooms. Journal for Research in Mathematics Education, 40, 119–156.
Bruce, C. D., Esmonde, I., Ross, J., Dookie, L., & Beatty, R. (2010). The effects of sustained classroom-embedded teacher professional learning on teacher efficacy and related student achievement. Teaching and Teacher Education, 26, 1598-1608.
Clarke, D., & Hollingsworth, H. (2002). Elaborating a model of teacher professional growth. Teaching and Teacher Education, 18(8), 947–967.
Cobb, P., Confrey, J., diSessa, A., Lehrer, R., & Shaube, L. (2003). Designing experiments in educational research. Educational Researcher, 32(1), 9-13.
Cobb, P., Jackson, K., & Dunlap, C. (2016). Design research: An analysis and critique. In L. English & D. Kirshner (Eds.), Handbook of international research in mathematics education (pp. 481-503). New York, NY: Routledge.
Coles, A. (2013). Using video for professional development: the role of the discussion facilitator. Journal of Mathematics Teacher Education. 16, 165–184. DOI 10.1007/s10857-012-9225-0
Craig, T., & Morgan, C. (2015). Language and communication in mathematics education. In S. J. Cho (Ed.), The Proceedings of the 12th International Congress on Mathematical Education, 529-533. DOI 10.1007/978-3-319-12688-3_53
Davis, E. A., & Krajcik, J. S. (2005). Designing educative curriculum materials to promote teacher learning. Educational Researcher, 34(3), 3–14.
Elias, H. R., Ribeiro, A. J. & Savioli, A. M. P. (2019). International Journal of Science and Mathematics Education, 18, 357–376. DOI 10.1007/s10763-019-09965-4
Feiman-Nemser, S. (2001). From preparation to practice: Designing a continuum to strengthen and sustain teaching. Teachers College Record, 103(6), 1013–1055.
Fuentes, S. Q., & Ma, J. (2018). Promoting teacher learning: A framework for evaluating the educative features of mathematics curriculum materials. Journal of Mathematics Teacher Education, 21(4), 351-382. https://doi.org/10.1007/s10857-017-9366-2
Goldsmith, L. T., Doerr, H. M., & Lewis, C. C. (2014). Mathematics teachers’ learning: A conceptual framework and synthesis of research. Journal of Mathematics Teacher Education, 17, 5–36.
Heyd-Metzuyanim, E.; Tabach, M., & Nachlieli, T. (2016). Opportunities for learning given to prospective mathematics teachers: Between ritual and explorative instruction. Journal of Mathematics Teacher Education, 19, 547-574.
Jaworski, B. & Huang, R. (2014). Teachers and didacticians: Key stakeholders in the processes of developing mathematics teaching. ZDM Mathematics Education 46(2), 173-188. https://doi.org/10.1007/s11858-014-0574-2
Kilpatrick, J. (2019). A double discontinuity and a triple approach: Felix Klein’s perspective on mathematics teacher education. In H.-G. Weigand et al. (Eds.), The legacy of Felix Klein, ICME-13 Monographs (pp. 215-225). https://doi.org/10.1007/978-3-319-99386-7_15
Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1-2), 21–34
Loucks-Horsley, S. (1997). Teacher change, staff development, and systemic change: Reflections from the eye of the paradigm. In S. N. Friel & G.W. Bright (Eds.), Reflecting on our work: NSF teacher enhancement in K-6 mathematics (pp. 133–150). Lanham, MD: University Press of America.
Maarten, D., den Hertog, J., & Gravemeijer, K. (2002). Using multimedia cases for educating the primary school mathematics teacher educator: A design study. International Journal of Educational Research, 37(2), 161-178
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(2), 169-186.
Moreira, P. C., & David, M. M. (2008). Academic mathematics and mathematical knowledge needed in school teaching practice: Some conflicting elements. Journal of Mathematics Teacher Education, 11(1), 23-40. https://doi.org/10.1007/s10857-007-9057-5
Nemirovsky, R., Dimattia, C., Ribeiro, B., & Lara-Meloy, T. (2005). Talking about teacher episodes. Journal of Mathematics Teacher Education, 8, 363-392.
Neubrand, M. (2018). Conceptualizations of professional knowledge for teachers of mathematics. ZDM Mathematics Education, 50(4), 601-612. https://doi.org/10.1007/s11858-017-0906-0
Ponte, J. P. (1999). Didácticas específicas e construção do conhecimento profissional. In J. Tavares, A. Pereira, A. P. Pedro & H. A. Sá (Eds.), Investigar e formar em educação: Actas do IV Congresso da SPCE (pp. 59-72). Porto: SPCE.
Ponte, J. P., & Quaresma, M. (2016). Teachers’ professional practice conducting mathematical discussions. Educational Studies in Mathematics, 93(1), 51-66.
Ponte, J. P., Quaresma, M., Mata-Pereira, J., & Baptista, M. (2016). O estudo de aula como processo de desenvolvimento profissional de professores de Matemática. Bolema, 30(56), 868-891. doi: 10.1590/1980-4415v30n56a01
Putnam, R., & Borko, H. (2000). What do new views of knowledge and thinking have to say about research on teacher learning? Educational Researcher, 29(1), 4–15.
Radford L., Barwell R. (2016). Language in Mathematics Education Research. In A. Gutiérrez, G. C. Leder & P. Boero (Eds) The second handbook of research on the psychology of mathematics education. Rotterdam: Sense.
Remillard, J. T., & Geist, K. (2002). Supporting teachers’ professional learning by navigating openings in the curriculum. Journal of Mathematics Teacher Education, 5, 7-34.
Ribeiro, A. J., & Ponte, J. P. (2019). Professional learning opportunities in a practice-based teacher education program about the concept of function. Acta Scientiae, 21, 49-74. https://doi.org/10.17648/acta.scientiae.v21iss2id5002
Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary teachers' mathematics subject knowledge: The knowledge quartet and the case of Naomi. Journal of Mathematics Teacher Education, 8(3), 255-281.
Russ, R. S., Sherin, B. L., & Sherin, M. G. (2016). What constitutes teacher learning? In D. H. Gitomer, & C. A. Bell (Eds.), Handbook of Research on Teaching (5 ed., pp. 391-438). American Educational Research Association.
Serrazina, L. (2017). Planificação do ensino-aprendizagem da Matemática. In GTI (Ed.), A prática dos professores: Planificação e discussão coletiva na sala de aula (pp. 9-32). Lisboa: APM.
Schoenfeld, A. (2015). Thougths on scale. ZDM Mathematics Education, 47(1), 161-169.
Schubring, 2019. Klein’s conception of ‘elementary mathematics from a higher standpoint’. H.-G. Weigand et al. (Eds.), The legacy of Felix Klein, ICME-13 Monographs (pp. 169-180). https://doi.org/10.1007/978-3-319-99386-7_12
Shilo, A., & Kramarski, B. (2018). Mathematical-metacognitive discourse: How can it be developed among teachers and their students? Empirical evidence from a videotaped lesson and two case studies. ZDM Mathematics Education, 51, 625–640. https://doi.org/10.1007/s11858-018-01016-6.
Silver, E. A., Clark, L. M., Ghousseini, H. N., Charalambous, Y. C., & Sealy, J. T. (2007) Where is the mathematics? Examining teachers’ mathematical learning opportunities in practice-based professional learning tasks. Journal of Mathematics Teacher Education, 10(4-6), 261-277. https://doi.org/10.1007/s10857-007-9039-7
Smith, M. S. (2001). Practice-based professional development for teachers of mathematics. Reston, VA: NCTM.
Smith, M. S., & Stein, M. K. (1998). Selecting and creating mathematical tasks: From research to practice. Mathematics Teaching in the Middle School, 3, 344–50.
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
Swan, M. (2007). The impact of task based professional development on teachers’ practices and beliefs: A design research study. Journal of Mathematics Teacher Education, 10, 217-237.
Tatto, M. T., & Senk, S. (2011). The mathematics education of future primary and secondary teachers: Methods and findings from the teacher education and development study in mathematics. Journal of Teacher Education, 62(2), 121–137. https://doi.org/10.1177/0022487110391807
Trevisan, A. L., Ribeiro, A. J., & Ponte, J. P. D. (2020). Professional learning opportunities regarding the concept of function in a practice-based teacher education program. International Electronic Journal of Mathematics Education, 15(2), em0563. https://doi.org/10.29333/iejme/6256
Wasserman, N. (2018). Connecting abstract algebra to secondary mathematics, for secondary mathematics teachers. Cham: Springer.
Webster-Wright, A. (2009) Reframing professional development through understanding authentic professional learning. Review of Educational Research, 79, 702-739. https://doi.org/10.3102/0034654308330970
Zaslavsky, O., & Leikin, R. (2004). Professional development of mathematics teacher educators: Growth through practice. Journal of Mathematics Teacher Education, 7(4), 5–32.
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Copyright (c) 2020 Dario Fiorentini
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