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Mediation of Technological Resources in Lessons on Polyhedra: Analysis of Two Teaching Actions

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Mathematics and Technology

Abstract

This chapter aims at discussing the mediation of technological resources done in geometry classes, in particular, for the teaching of polyhedral-prisms and pyramids – in primary school. The focus is to understand teaching actions and the use of technological resources by observing two teachers on geometry classes and analyzing results from this “in loco” survey. Zeichner’s ideas about teacher’s reflective practice and the view of Serrazina about the teacher as a manager of curriculum defined the theoretical framework. The methodology was qualitative, grounded in the complexity theory. We observed two different teachers’ actions and the mediation of available resources in order to help students’ participation and the development of the classes.

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Notes

  1. 1.

    You can set the cavalier perspective as an oblique cylindrical projection on a plane parallel to one of the main faces of the object . Most representations of geometric figures in the books are in cavalier perspective. In cavalier perspective, there are the following properties : (1) figures and segments parallel to the plane of projection (paper plane) are represented in true greatness; congruent figures, situated in different planes, but parallel to the plane of the paper, have congruent representations-this is contrary to the vision, but according to the reality of the objects ; (2) perpendicular threads to the plane of the paper are represented by oblique segments (if adopted, making angles of 30° to the bottom edge of the paper), and has reduced its length (if adopted, the reduction of 50); (3) parallel to each other and straight segments are represented by straight parallel segments and each other (it is a cylindrical projection); (4) keep the midpoints of the segments and the centroid of figures; (5) as Convention , trace the lines that are visible to the observer and trace the invisible lines . Fonte: http://www.apm.pt/apm/geometria/inoveg/egtext1.html

References

  • Carvalho, M. C. P. (2012). A prática do professor de anos iniciais no ensino da matemática e a utilização de recursos tecnológicos. Unpublished M.Ed. thesis, Universidade Bandeirante de São Paulo.

    Google Scholar 

  • Carvalho, M. C. P., Lobo da Costa, N. M., & Campos, T. M. M. (2013). Technology applied to the teaching of mathematics: Lesson analysis. Quaderni di Ricerca in Didattica (Mathematics), 23(1), 457–465.

    Google Scholar 

  • Hernandéz, F., Sancho, J., Carbonell, J., Tort, A., Simó, N., & Sánchez-Cortés, E. (2000). Aprendendo com as Inovações nas Escolas. Porto Alegre: Artmed.

    Google Scholar 

  • Ma, L. (1999). Knowing and teaching elementary mathematics. Mahwah: Lawrence Erlbaum.

    Google Scholar 

  • Moraes, M. C., & Valente, J. A. (2008). Como pesquisar em educação a partir da complexidade e da transdisciplinaridade? Coleção Questões Fundamentais da Educação (Vol. 8). São Paulo: Paulus.

    Google Scholar 

  • Moran, J. M. (2007). Módulo Introdutório – Integração de Mídias na Educação ETAPA 1. http://webeduc.mec.gov.br/midiaseducacao/material/gestao/ges_basico/etapa_1/p2.html. Accessed 22 Sept 2015.

  • Morin, E. (2006). Introdução ao pensamento complexo. Porto Alegre: Sulina.

    Google Scholar 

  • Nacarato, A. M. (2011). Práticas pedagógicas e educação matemática. In H. Amaral da Fontoura & M. Silva (Eds.), Práticas pedagógicas, linguagem e mídias: Desafios à pós-graduação em educação em suas múltiplas dimensões (pp. 163–177). Rio de Janeiro: ANPEd Nacional.

    Google Scholar 

  • São Paulo (2010). Cadernos de Apoio e Aprendizagem: Matemática/ Programa de Orientações Curriculares. Secretaria Municipal de Educação. São Paulo: Fundação Padre Anchieta

    Google Scholar 

  • Serrazina, M. L. (1998). Teacher’s professional development in a period of radical change in primary mathematics education in Portugal. Ph.D. dissertation, University of London, London.

    Google Scholar 

  • Serrazina, M. L., & Oliveira, I. (2005). O currículo de matemática do ensino básico sob o olhar da competência matemática. In Grupo de Trabalho de Investigação da APM (Ed.), O professor e o desenvolvimento curricular (pp. 35–62). Lisbon: APM.

    Google Scholar 

  • Zeichner, K. (1993). A formação reflexiva de professores: ideias e práticas. Lisbon: Educa.

    Google Scholar 

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Correspondence to Nielce Meneguelo Lobo da Costa .

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Lobo da Costa, N.M., de Carvalho, M.C.P., Campos, T.M.M. (2017). Mediation of Technological Resources in Lessons on Polyhedra: Analysis of Two Teaching Actions. In: Aldon, G., Hitt, F., Bazzini, L., Gellert, U. (eds) Mathematics and Technology. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-51380-5_3

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  • DOI: https://doi.org/10.1007/978-3-319-51380-5_3

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