Demonstrações geométricas de relações algébricas elementares: uma proposta de sequência didática

Abstract

The great difficulty in understanding the process of demonstrating algebraic identities has become a great challenge for students who often need material that helps them or simply convinces them that these expressions are true. Nothing is better than using the beauty of geometry for images to stimulate students in the pursuit of knowledge. Then, we develop didactic sequences using concrete material, which can be applied in the classroom in a very dynamic way. Given that the image itself already proves the proof of some expression, we approach in detail the steps we must take to arrive at the result. It can be used by the teacher when presenting the content or just to fix it, serving as the basis for the emergence of investigations into other identities. The emphasis is to provide visual cues to the observer to stimulate mathematical thinking.