Desigualdades das médias com o auxílio de formas geométricas

Abstract

The present work proposed to develop a material that makes it possible to explain the inequalities of arithmetic, geometric, harmonic and quadratic means through geometric demonstrations, knowing that many students have difficulties in understanding and understanding algebra, and that geometry in turn is effective in development of spatial thinking, logical thinking and with a rigidity of arguments that are effective in aiding the understanding and learning of various mathematical contents, so we developed this material so that it can be used in the classroom, by the teacher, when presenting the content or for fix it, understanding that the visual explanation already makes the proof possible, the step by step that must be followed to reach the desired result was approached in detail, the idea, as already said, is to provide visual clues that stimulate spatial thinking and mathematical, enabling the understanding of the content.