Browsing through shapes: a practical approach to exploring plane geometry through problem solving

Abstract

The study reports on the implementation of a teaching project in two first-year high school classes, addressing the similarity of triangles and Thales' Theorem through practical methods. The main question is how to integrate pedagogical resources to promote a deep understanding of the mentioned concepts. The methodology was based on problem-solving, using it as a teaching tool. Activities included the construction of a tetrahedral kite to address the similarity of triangles and solving a problem about calculating height from shadows, exemplifying Thales' Theorem. Specific objectives were outlined, such as recalling the characteristics of triangles, identifying cases of similarity, and solving problems involving Thales' Theorem. The teaching was adapted for students with special educational needs, promoting inclusion. Interest in the proposed activities was observed, despite some challenges, and each stage was conducted at the appropriate time, although more class hours or a review of the strategy were needed.