International Electronic Journal of Mathematics Education

• 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., & Even, R. (2009). Strengthening practice in and research on the professional education and development of teachers of mathematics: Next steps. In R. Even & D. L. Ball (Eds.). The professional education and development of teachers of mathematics: The 15^th ICMI study (pp. 255-257). New York, NY: Springer. https://doi.org/10.1007/978-0-387-09601-8_27
• Bisognin, E., Bisognin, V., & Cury, H. N. (2010). Conhecimentos de professores da educação básica sobre o conceito de função. In Anais do X Encontro Nacional de Educação Matemática. Brasília, SBEM.
• Bogdan, R., & Biklen, S. (1994). Investigação qualitativa em educação. Porto: Porto Editora.
• 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
• Charalambous, Y. C., & Pitta-Pantazi, D. (2016). Perspectives on Priority Mathematics Education: Unpacking and Understanding a Complex Relationship Linking Teacher Knowledge, Teaching, and Learning. In: L. D. English & D. Kirshner (Eds.), Handbook of international research in mathematics education (3^rd Ed., pp. 19-59), New York.
• Crotty, M. (1998). The foundations of social research: meaning and perspective in the research process. London: Sage.
• Esteban, M. P. S. (2010). Pesquisa qualitativa em educação: fundamentos e tradições. Porto Alegre: Artmed.
• Even, R. (1990). Subject matter knowledge for teaching and the case of functions. Educational Studies in Mathematics, 21(6), 521-544. https://doi.org/10.1007/BF00315943
• 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. https://doi.org/10.1007/s10857-013-9245-4
• Mestre, C. M. M. V. (2014). O desenvolvimento do pensamento algébrico de alunos do 4.º ano de escolaridade: uma experiência de ensino (Ph.D. Thesis in Education), Universidade de Lisboa. Lisboa.
• Murata, A. (2011). Introduction: Conceptual overview of lesson study. In: L. Hart, A. Alston, & A. Murata (Eds.), Lesson study research and practice in mathematics education (pp. 1-12). Dordrecht: Springer. https://doi.org/10.1007/978-90-481-9941-9_1
• O’Donnell, B., & Taylor, A. (2007). A lesson plan as professional development? You’ve got be kidding. Teaching Children Mathematics, 272-278.
• Pazuch, V., & Ribeiro, A. J. (2017). Conhecimento profissional de professores de matemática e o conceito de função: uma revisão de literatura. Educação Matemática Pesquisa, 19, 465-496. https://doi.org/10.23925/1983-3156.2017v19i1p465-496
• Ponte, J. P. (2005). Gestão curricular em Matemática. In: GTI (Ed.). O professor e o desenvolvimento curricular (pp. 11-34). Lisboa: APM.
• Ponte, J. P. (2012). Estudando o conhecimento e o desenvolvimento profissional do professor de matemática. In: N. Planas (Ed.), Educación matematics: Teoría, critica y prática. Barcelona: Graó.
• Ponte, J. P. (2014). Tarefas no ensino e na aprendizagem da Matemática. In: J. P. da Ponte (Org.). Práticas profissionais dos professores de matemática (pp. 13-27). Lisboa: Instituto de Educação da Universidade de Lisboa.
• Ponte, J. P. (2017). Discussões coletivas no ensino-aprendizagem em Matemática. In: GTI (Ed.). A prática dos professores: planificação e discussão coletiva na sala de aula (pp. 33-56). Lisboa: APM.
• Ponte, J. P., & Chapman, O. (2016). Prospective mathematics teachers’ learning and knowledge for teaching. In L. English & D. Kirshner (Eds.), Handbook of international research in mathematics education (pp. 275-296). New York, NY: Routledge/Taylor & Francis
• Ponte, J. P., Mata-Pereira, J., Quaresma, M., & Velez, I. (2017). Formação de professores dos primeiros anos em articulação com o contexto de prática de ensino de matemática. Relime, 20(1), 71-94. https://doi.org/10.12802/relime.17.2013
• 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. https://doi.org/10.1590/1980-4415v30n56a01
• 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
• 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.
• Shulman, L. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14. https://doi.org/10.3102/0013189X015002004
• Silver, E. A. (2009).Toward a More Complete Understanding of Practice-Based Professional Development for Mathematics Teachers. In: R. Even & D. L. Ball (Eds.), The Professional Education and Development of Teachers of Mathematics: the 15th. ICMI study (pp. 245-247). Springer. https://doi.org/10.1007/978-0-387-09601-8_25
• 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, E. (2008). Representational thinking as a framework for introducing functions in the elementary curriculum. In: J. J. Kaput, D. W. Carraher, & M. L. Blanton (Eds.), Algebra in the early years (pp. 133-160). Reston, VA: NCTM. https://doi.org/10.4324/9781315097435-6
• Smith, E., & Confrey, J. (1994). Multiplicative structures and the development of logarithms: what was lost by the invention of function. In: G. Harel, & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 333-360).
• Smith, M. (2001). Practice-based professional development for teachers of mathematics. Reston: National Council of Teachers of Mathematics.
• 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
• Thompson, P. W. (1990). A theoretical model of quantity-based reasoning in arithmetic and algebraic. Center for Research in Mathematics & Science Education: San Diego State University.
• Thompson, P. W. (1994). Students, functions, and the undergraduate mathematics curriculum. In: E. Dubinsky, A. H. Schoenfeld, & J. J. Kaput (Eds.), Research in Collegiate Mathematics Education I (pp. 21-44). Providence: American Mathematical Society.
• Thompson, P. W., & Carlson, M. P. (2017). Variation, covariation, and functions: Foundational ways of thinking mathematically. In: J. Cai (Ed.), Compendium for research in mathematics education (pp. 421-456). Reston, VA: National Council of Teachers of Mathematics.
• 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
• Zuffi, E. M., & Pacca, J. L. A. (2012). O conceito de função e sua linguagem para os professores de matemática e de ciências. Ciência & Educação, 8(1), 1-12. https://doi.org/10.1590/S1516-73132002000100001

APA

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

Vancouver

Trevisan AL, Ribeiro AJ, Ponte JPD. Professional Learning Opportunities Regarding the Concept of Function in a Practice-based Teacher Education Program. INT ELECT J MATH ED. 2020;15(2):em0563. https://doi.org/10.29333/iejme/6256

AMA

Trevisan AL, Ribeiro AJ, Ponte JPD. Professional Learning Opportunities Regarding the Concept of Function in a Practice-based Teacher Education Program. INT ELECT J MATH ED. 2020;15(2), em0563. https://doi.org/10.29333/iejme/6256

Chicago

Trevisan, André Luis, Alessandro Jacques Ribeiro, and João Pedro da Ponte. "Professional Learning Opportunities Regarding the Concept of Function in a Practice-based Teacher Education Program". International Electronic Journal of Mathematics Education 2020 15 no. 2 (2020): em0563. https://doi.org/10.29333/iejme/6256

Harvard

Trevisan, A. L., Ribeiro, A. J., and 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

MLA

Trevisan, André Luis et al. "Professional Learning Opportunities Regarding the Concept of Function in a Practice-based Teacher Education Program". International Electronic Journal of Mathematics Education, vol. 15, no. 2, 2020, em0563. https://doi.org/10.29333/iejme/6256