Generalizando o Teorema de Pitágoras: uma abordagem com os alunos do 2º Ano do Ensino Médio do Instituto Federal do Amapá

Abstract

This work is a research carried out on the Pythagorean Theorem in which a brief summary of the history of Pythagoras, presentation of the Pythagorean Theorem, as well as some demonstrations of this important theorem were shown. The theorem was extended to other non-square polygons and, mainly, its validity was shown for any similar and proportional plane figures, that is, the Pythagorean Theorem was generalized to general plane figures. In addition, a workshop on the subject in question was carried out with the help of the GeoGebra dynamic geometry software, with students of the 2nd year of high school at the Federal Institute of Amapá, Macapá campus. The results indicated that with the application of the object of study of this work, the students were motivated towards the mathematical content addressed, especially in relation to the demonstrations of the Pythagorean theorem and its generalization. The presentation of such concepts and mathematical proofs to high school students can enhance and improve students' geometric thinking and algebraic maturity.