Trincas Pitagóricas: uma abordagem para auxiliar o ensino de Matemática.

The present work is the result of the exploration of teaching methodologies that seek a greater interaction of the student with the approached concept. During the text we present methods to obtain the famous Pythagorean triples from concepts of number theory and algebra. Our proposal is to provide the teacher (reader) with theoretical mathematical tools with which he can better develop his practice in various mathematical contents. The search for new Pythagorean cracks has always been the target of fascination and study, both by professional mathematicians and curious students, so the theme here is developed and results already known to the community are presented and demonstrated in an unprecedented way, that is, with approaches mathematics that were not found in previous works. [ABSTRACT FROM AUTHOR]