Validações matemáticas produzidas por alunos do nono ano do ensino fundamental: desafios e possibilidades

Thesis: Liana Krakecker
Curso de Doutorado em Educação Matemática da Universidade Federal do Mato Grosso do Sul
Campo Grande – MS 2022

Abstract

In this research, we had the general objective of investigating mathematical validation processes developed by students from a 9th grade class of Elementary School of a state public school in Mato Grosso, during the academic year of 2020. Specifically, we sought to identify how the students analyzed formulated and presented mathematical validations for their statements and/or conjectures, classifying mathematical proofs that were produced by them, as well as to identify elements related to the activities developed by the students that could favor the production of validations.
We analyzed the interaction we had with two students, considering our dialogues, speeches, writings and the resolutions presented by them for each activity, seeking to meet our research objectives. For the elaboration, application and analysis of situations, we rely mainly on Balacheff's Proof Typology Model, on Brousseau's Theory of Didactic Situations, possible functions of the mathematical proof signaled by De Villiers and other authors, as well as on research that dealt with the theme. At the end of this process, it was possible to identify that the students started to consider performing several tests and generalization elements in their tests.

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