O princípio da indução finita e sua aplicação na educação básica

Abstract

This work aims to use proof by mathematical induction as a didactic tool for teaching. The focus is on assisting teachers in explaining formulas and conjectures, promoting a deeper mathematical experience for students. We want students to question generalizations and become more analytical regarding the statements made. As a methodology, mathematical induction techniques will be employed to explain existing concepts and formulas, thus using mathematical induction as a formal tool that helps develop a precise understanding of mathematical concepts, which is crucial to avoid errors resulting from false generalizations. Finally, we will conclude by suggesting that the use of mathematical induction aims to provide students with a solid foundation and the ability to perform rigorous proofs before asserting any mathematical observation.