O Teorema do Casamento de Hall e aplicações no ensino básico

Abstract

The purpose of this dissertation is to present Hall’s Marriage Theorem, its variations and methodologies, aiming to combine theory and practice, stimulating students’ logical reasoning, critical thinking and creativity. In addition to the classic version of the theorem, two other reformulations were developed and related, distinguishing themselves from the usual theoretical framework. In order to contribute to the construction of a more inclusive, efficient, and motivating education, practical activities were proposed, and part of them was applied to second-year high school students. The practice, structured in three stages, allowed to observe the students’ progress in facing mathematical challenges. Despite the difficulties, the students’ engagement was remarkable, driven by the investigative approach and by the contextualization of Hall’s Marriage Theorem in practical and real situations.