Algebraic thinking: an analysis of textbooks from the final years of elementary school
DOI:
https://doi.org/10.5007/1981-1322.2021.e80794Abstract
With the publication of the National Common Curricular Base - BNCC for Elementary School in December 2017, the purpose of teaching algebra became the development of algebraic thinking. In view of this, this work aimed to investigate whether problems proposed about recursive sequences, which configure one of the contents that make up the Algebra unit, are being explored in textbooks of the final years of Elementary School in order to contribute to the development of algebraic thinking. Based on the characteristics of the algebraic thinking of Almeida and Câmara (2017) and on the essential elements of a problem according to Malaspina (2017), this study is understood to be of a qualitative approach and of documentary nature, in which the interpretative analysis approach was adopted. From the study carried out it was found that there is evidence of a reorientation of textbooks of Elementary School towards an algebraic education that aims at the development of algebraic thinking, as directed by the BNCC.
References
Almeida, J. R. & Câmara, M. S. (2017). Pensamento algébrico: em busca de uma definição. Revista Paranaense de Educação Matemática. Recuperado de: http://rpem.unespar.edu.br/index.php/rpem/article/view/1124
Bardin, L. (2011). Análise de conteúdo. São Paulo: Edições 70.
Blanton, M. L. & Kaput, J. (2005). Characterizing a classroom practice that promotes algebraic reasoning. Journal for Research in Mathematics Education, v. 36(5), 412-446.
Bianchini, E. (2018). Matemática – Bianchini: manual do professor. São Paulo: Moderna.
Brasil. (2017). Ministério da Educação. Base Nacional Comum Curricular. Brasília: MEC. Recuperado de http://portal.mec.gov.br/index.php?option=com_docman&view=download&alias=79601-anexo-texto-bncc-reexportado-pdf-2&category_slug=dezembro-2017-pdf&Itemid=30192
Chimoni, M., Pitta-Pantazi, D. & Christou, C. (2019, fevereiro). Investigating early algebraic thinking abilities: a path model. In Eleventh Congress of the European Society for Research in Mathematics Education. Recuperado de: https://hal.archives-ouvertes.fr/hal-02415996/document
Fiorentini, D., Miorin, A. & Miguel, A. (1993). Contribuição para um Repensar a Educação. Algébrica Elementar. Pró-posições, v. 4(1), 78-91.
Iezzi, G. & Hazzan, S. (2004). Fundamentos de Matemática Elementar. São Paulo: Atual Editora.
Iezzi, G., Dolce, O. & Machado, A. (2018). Matemática e Realidade. São Paulo: Atual Editora.
Kaput, J. (2008). What is algebra? What is algebraic reasoning? In: Kaput, J., Carraher, D. & Blanton, M. (Eds.), Algebra in the Early Grades. (pp. 5-17). New York: Lawrence Erlbaum Associates.
Malaspina, U. J. (2015). Los niños crean problemas de matemáticas. Unión Revista Iberoamericana de Educación Matemática. Recuperado de: http://www.fisem.org/www/union/revistas/2015/42/42_Problema_12.pdf
Malaspina, U. J. (2016). Creación de problemas. Avances y desafíos en la Educación Matemática. Revista de Matemática, Ensino e Cultura. Recuperado de: http://www.rematec.net.br/index.php/rematec/article/view/61
Malaspina, U. J. (2017). La creación de problemas como medio para potenciar la articulación de competencias y conocimientos del profesor de matemáticas. En J. M. Contreras, P. Arteaga, G. R. Cañadas, M.M. Gea, B. Giacomone y M. M. López-Martín (Eds.), Actas del Segundo Congreso International Virtual sobre el Enfoque Ontosemiótico del Conocimiento y la Instrucción Matemáticos. Recuperado de: http://enfoqueontosemiotico.ugr.es/civeos/malaspina.pdf
Malaspina, U. J. (2018). ?Cómo crear problemas de matemáticas? Experiencias didácticas com professores em formación. Unión Revista Ibero-americana de Educación Matemática. Recuperado de: http://www.fisem.org/www/union/revistas/2018/52/52_problema.pdf
Radford, L. (2006). Algebraic thinking and the generalization of patterns: a semiotic perspective. In: North America Conference of the International Group of Psychology of Mathematics Education – PME. Recuperado de: https://www.researchgate.net/publication/239933692_Algebraic_thinking_and_the_generalization_of_patterns_A_semiotic_perspective
Radford, L. (2009, janeiro). Signs, gestures, meanings: Algebraic thinking from a cultural semiotic perspective. In: Anais do Sixth Congress of the European Society for Research in Mathematics Education. Recuperado de: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.617.8010&rep=rep1&type=pdf
Radford, L. (2011). Grade 2 students’ non-symbolic algebraic thinking. In: CAI, J.; KNUTH, E. (Eds). A global dialogue from multiple perspectives. Berlin: Editora Springer.
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