MATHEMATICAL MODELLING AND ALGEBRAIC THINKING IN THE 6th GRADE OF ELEMENTARY SCHOOL

Authors

DOI:

https://doi.org/10.33871/22385800.2021.10.23.98-123

Keywords:

Educação Matemática, Modelagem Matemática, Pensamento Algébrico, Ensino Fundamental

Abstract

This paper aims to investigate how Mathematical Modelling activities, from the perspective of Model-Eliciting Activities (MEAs), can contribute to the development of algebraic thinking in the 6th Grade of Elementary School. In order to do that, a Mathematical Modelling activity was developed in this perspective in a 6th Grade class, with students from 11 to 14 years old, from a State School located in the North of Paraná. The research was carried out within the scope of a Professional Master’ Degree in Mathematics Teaching and has a qualitative character, of an interpretative nature, whose analyzed data comes from audio, video and image recordings and from the students’ written productions. We found in the development of the activity the presence of the five forms of algebraic thinking, indicated by Kaput (1999), some more frequently than others, as the students used knowledge consistent with their age and grade, outlining that the forms of algebraic thinking can be developed over the school grades, enabling the establishment of structures capable of providing a basis for higher levels of abstraction and formalization. We also point out the potential of Mathematical Modelling activities, from the perspective of MEAs, to develop algebraic thinking, particularly with regard to the production of mathematical models.

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Author Biographies

Emerson Tortola, Universidade Tecnológica Federal do Paraná

Professor do Magistério Superior, Classe Adjunto, da Universidade Tecnológica Federal do Paraná, Câmpus Toledo, atuando no Programa de Pós-Graduação em Ensino de Matemática (PPGMAT). Licenciado em Matemática pela Faculdade Estadual de Ciências e Letras de Campo Mourão (atual Universidade Estadual do Paraná) - 2010. Mestre em Ensino de Ciências e Educação Matemática pela Universidade Estadual de Londrina (2012). Doutor em Ensino de Ciências e Educação Matemática da Universidade Estadual de Londrina (2016). Vice-diretor da SBEM-PR.

Cristiana Fadin, Secretaria da Educação e do Esporte do Estado do Paraná (SEED)

Professora do Quadro Próprio do Magistério (QPM) - SEED (2012). Licenciada em Matemática pela Faculdade Estadual de Ciências e Letras de Campo Mourão (atual Universidade Estadual do Paraná) - 2007. Mestre em Ensino de Matemática pela Universidade Tecnológica Federal do Paraná (2021).

Published

2021-12-14

How to Cite

Tortola, E., & Fadin, C. (2021). MATHEMATICAL MODELLING AND ALGEBRAIC THINKING IN THE 6th GRADE OF ELEMENTARY SCHOOL. Revista Paranaense De Educação Matemática, 10(23), 98–123. https://doi.org/10.33871/22385800.2021.10.23.98-123