Ensino e aprendizagem dos polígonos regulares: uma abordagem lúdica sobre os movimentos de simetria no ensino fundamental

Abstract

The teaching of geometry in elementary school is linked to the visualization of the geometric object and essential mathematical notions. When possible, one should co-relate physical objects with the theory in order to establish a better understanding for the students. Thus, this work uses this argument for its construction and addresses an intimate relationship with the use of physical objects and theory. This work focuses on presenting the teaching and learning process of regular polygons about their symmetry movements. Given in a systematic way, this process is given through the relationship with the theory of dihedral groups and the use of playful materials that permeate children’s daily lives. In particular, such materials are related to the character “Patrick Estrela" from the children’s series “SpongeBob” and a children’s board game called “Gometric board”. Regular polygons but also their characteristics. Speaking of which, a very important characteristic of regular polygons is their invariant form when rotation and reflection movements are applied. Hence, this work uses this property and the physical/playful objects already mentioned to establish a better assimilation in the teaching and learning about regular polygons When formulated, such relationships will be applied in a 6th grade elementary school class, explaining at the end all the results of the intervention.