Uma contribuição geométrica na aprendizagem do teorema de Pitágoras: o uso do tangram personalizado na introdução do teorema de Pitágoras

Abstract

The present work within the scope of the didactic unit "Pythagorean Theorem" aims to understand the mathematical and geometric justifications, as a mathematical reasoning process, presenting the contributions of the active methodology in Learning, for the improvement of the teaching-learning process in an Elementary School II final year class. In this way, the work seeks to understand what the difficulties of students in learning are and understanding the Pythagorean theorem. More precisely, we use the maker and hands-on methodology to approach the Pythagorean Theorem, exploring geometric notions in the construction of a tangram. The work methodology was developed in three moments: introduction of the task, autonomous work of the students and discussion and systematization of results and learning in large groups. We bring a methodological approach to minimize difficulties, demonstrating that the learning of the Pythagorean Theorem can be more meaningful through dynamics where the student becomes the protagonist.