Critérios de seleção de tarefas para a sala de aula dos professores de matemática
DOI:
https://doi.org/10.30827/pna.v19i3.30387Palavras-chave:
Formação de Professores, Critérios de seleção, Tarefas, Tomada de decisãoResumo
Neste artigo, abordamos os critérios de seleção de tarefas que os professores de matemática utilizam durante o planeamento das aulas. Para isso, recolhemos as propostas que, de diferentes perspectivas, têm sido feitas na literatura sobre esta questão e estabelecemos uma primeira versão de um quadro de referência. Com base nos auto-relatos de um grupo de professores e na teoria fundamentada, complementamos o quadro inicial e propomos um novo quadro de referência. O novo quadro inclui categorias relacionadas com a motivação, dificuldade, os compromissos profissionais dos professores e a temporalidade.
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Arbaugh, F. y Brown, C. (2005). Analyzing mathematical tasks: A catalyst for change? Journal of Mathematics Teacher Education, 8(6), 499-536. http://dx.doi.org/10.1007/s10857-006-6585-3
Burkhardt, H. y Swan, M. (2013). Task design for systemic improvement: Principles and frameworks. En C. Margolinas (Ed.), Task design in mathematics education. Proceedings of ICMI Study 22 (pp. 431-439). ICMI. https://hal.science/hal-00834054
Cevikbas, M. y Kaiser, G. (2021). A systematic review on task design in dynamic and interactive mathematics learning environments
(DIMLEs). Mathematics, 9(4), 399. https://doi.org/10.3390/math9040399
Corbin, J. y Strauss, A. (1990). Grounded theory research: Procedures, canons, and evaluative criteria. Qualitative Sociology, 13(1), 3-21.
Daroczy, G., Wolska, M., Meurers, W. D. y Nuerk, H.-C. (2015). Word problems: a review of linguistic and numerical factors contributing to their difficulty. Frontiers in Psychology, 6, 348. https://doi.org/10.3389/fpsyg.2015.00348
Desimone, L. M. (2009). Improving impact studies of teachers’ professional development: Toward better conceptualizations and measures. Educational Researcher, 38(3), 181-199. https://doi.org/10.3102/0013189X08331140
Doyle, W. (1988). Work in mathematics classes: The context of students' thinking during instruction. Educational Psychologist, 23, 167-180. https://doi.org/10.1207/s15326985ep2302_6
Galant, J. (2013). Selecting and sequencing mathematics tasks: Seeking mathematical knowledge for teaching. Perspectives in Education, 31(3), 34-48. https://hdl.handle.net/10520/EJC145557
Gómez, P. (Ed.). (2018). Formación de profesores de matemáticas y práctica de aula: conceptos y técnicas curriculares. Universidad de los Andes.
Gómez, P., Mora, M. F. y Velasco, C. (2018). Análisis de instrucción. En P. Gómez (Ed.), Formación de profesores de matemáticas y práctica de aula: conceptos y técnicas curriculares (pp. 197-268). Universidad de los Andes. http://funes.uniandes.edu.co/11906/
González, M. J., Gómez, P. y Pinzón, A. (2020). Characterising lesson planning: a case study with mathematics teachers. Teaching Education, 31(3), 260-278. https://doi.org/10.1080/10476210.2018.1539071
Herbst, P. (2012). Las tareas matemáticas como instrumentos en la investigación de los fenómenos de gestión de la instrucción: un ejemplo en geometría. Avances de Investigación en Educación Matemática, (1), 1-22. https://aiem.es/article/view/3830
Hiebert, J. (2003). Teaching mathematics in seven countries: Results from the TIMSS 1999 video study. DIaNe Publishing.
Hsu, E., Kysh, J., Ramage, K. y. Resek, D. (2007). Seeking big ideas in algebra: The evolution of a task. Journal of Mathematics Teacher Education, 10(4-6), 325-332. https://doi.org/10.1007/s10857-007-9055-7
Kaur, B. (2010). A study of mathematical tasks from three classrooms in Singapore. En Y. Shimizu, B. Kaur, R. Huang y D. Clarke (Eds.), Mathematical tasks in classrooms around the world (pp. 15–33). Sense Publishers. https://doi.org/10.1163/9789460911507_003
Kilpatrick, J. (1978). Variables and methodologies in research on problem solving. En Hatfield y D. A. Bradbard (Eds.), Mathematical problem solving: From a research (pp. 7–20). ERIC.
Levenson, E. S. (2022). Exploring the relationship between teachers’ values and their choice of tasks: the case of occasioning mathematical creativity. Educational Studies in Mathematics, 109(3), 469-489. https://doi.org/10.1007/s10649-021-10101-9
Liljedahl, P., Chernoff, E. y Zazkis, R. (2007). Interweaving mathematics and pedagogy in task design: A tale of one task. Journal of Mathematics Teacher Education, 10(4-6), 239-249. https://doi.org/10.1007/s10857-007-9047-7
Lindquist, M., Philpot, R., Mullis, I. V. y Cotter, K. E. (2018). Marco teórico de matemáticas TIMSS 2019. En I. V. Mullis y M.O. Martins (Eds.), TIMSS 2019. Marcos de la evaluación (pp. 13-28). Subdirección General de Atención al Ciudadano, Documentación y Publicaciones. https://redined.educacion.gob.es/xmlui/bitstream/handle/11162/204443/TIMSS2019.pdf
Mayring, P. (2015). Qualitative content analysis: Theoretical background and procedures. En A. Bikner-Ahsbahs, C. Knipping y N. Presmeg (Eds.), Approaches to qualitative research in mathematics education. Examples of methodology and methods (pp. 365-380). Springer. https://doi.org/10.1007/978-94-017-9181-6_13
Ministerio de Educación, Formación Profesional y Deportes (2023). PISA 2022. Programa para la Evaluación Internacional de los Estudiantes. Informe español. Instituto Nacional de Evaluación Educativa.
Pino-Fan, L., Castro, W. y Font, V. (2022). A macro tool to characterize and develop key competencies for the mathematics teacher’practice. International Journal of Science and Mathematics Education, 1-26. http://doi.org/10.1007/s10763-022-10301-6
Pinzón, A. y Gómez, P. (2023). Study of the effects of a mathematics teacher education program: What went wrong? Implementation and Replication Studies in Mathematics Education, 3, 1-24. http://funes.uniandes.edu.co/31580/
Prediger, S., Bikner-Ahsbahs, A. y Arzarello, F. (2008). Networking strategies and methods for connecting theoretical approaches: First steps towards a conceptual framework. ZDM, 40, 165-178. https://doi.org/10.1007/s11858-008-0086-z
Remillard, J. T. (1999). Curriculum materials in mathematics education reform: A framework for examining teachers' curriculum development. Curriculum Inquiry, 29(3), 315-342. https://doi.org/10.1111/0362-6784.00130
Ross, J. A., McDougall, D., Hogaboam-Gray, A. y LeSage, A. (2003). A Survey Measuring Elementary Teachers' Implementation of Standards-Based Mathematics Teaching. Journal for Research in Mathematics Education, 34(4), 344-363.
Shimizu, Y., Kaur, B., Huang, R., y Clarke, D. (2010). The role of mathematical tasks in different cultures. En Y. Shimizu, B. Kaur, R. Huang y D. Clarke (Eds.), Mathematical tasks in classrooms around the world (pp. 9–14). Sense Publishers. https://doi.org/10.1163/9789460911507_002
Stein, M., Grover, B. y Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455-488. https://doi.org/10.3102/00028312033002455
Stein, M. y Smith, M. (1998). Mathematical tasks as a framework for reflection: From research to practice. Mathematics Teaching in the Middle School, 3(4), 268-275. https://doi.org/10.5951/MTMS.3.4.0268
Sullivan, P., Clarke, D. y Clarke, B. (2012). Teaching with tasks for effective mathematics learning. Springer Verlag.
Sullivan, P. y Mousley, J. (2001). Thinking teaching: Seeing mathematics teachers as active decision makers. En F. L. Lin y T. J. Cooney (Eds.), Making sense of mathematics teacher education (pp. 147-163). Springer. https://doi.org/10.1007/978-94-010-0828-0_7
Tekkumru-Kisa, M. K., Stein, M. y Doyle, W. (2020). Theory and research on tasks revisited: Task as a context for students’ thinking in the era of ambitious reforms in mathematics and science. Educational Researcher, 49(8), 606-617. https://doi.org/10.3102/0013189X20932480
Uysal, H. (2012). Evaluation of an in-service training program for primary-school language teachers in Turkey. Australian Journal of Teacher Education, 37(7), 14-29. http://dx.doi.org/10.14221/ajte.2012v37n7.4
Watson, A. y Mason, J. (2007). Taken-as-shared: A review of common assumptions about mathematical tasks in teacher education. Journal of Mathematics Teacher Education, 10(4-6), 205-215. https://doi.org/10.1007/s10857-007-9059-3
Williams, G. y Clarke, D. (1997). Mathematical task complexity and task selection. En D. Clarke, P. Clarkson, D. Gronn, M. Horne, L. Lowe y M. Mackinlay (Eds.), Mathematics: Imagine the possibilities: Proceedings of the 34th annual conference of the mathematics association of Victoria (pp. 406–415). Mathematical Association of Victoria.
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- 2025-05-22 (2)
- 2025-04-11 (1)
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Direitos de Autor (c) 2025 PNA. Revista de pesquisa em Educaçao matemática

Este trabalho encontra-se publicado com a Licença Internacional Creative Commons Atribuição-NãoComercial-SemDerivações 4.0.