Tratamento geométrico de expressões algébricas: uma investigação sobre o potencial do Desenho Geométrico

Abstract

Algebra is a field of study within Mathematics that plays a fundamental role in practical and scientific applications, ranging from solving equations to creating mathematical models capable of describing real-world phenomena. Several factors contribute to students' academic failure in algebraic subjects, but the main one is abstraction. In this context, Geometric Drawing emerges as a potential teaching tool, since some geometric constructions offer visual support capable of mitigating the abstraction of Algebra. This work is the result of bibliographic research, characterized by the analysis and tabulation of data from the following sources: books, articles, monographs, dissertations, and reliable websites, selected for their focus on the interrelationship between Algebra and Geometry, more specifically, the connection between geometric constructions and the resolution of algebraic expressions. It is concluded that Algebra and Geometry are intrinsically interconnected, and that Geometric Drawing offers a transformative potential for the teaching-learning process of Mathematics, making algebraic content more concrete, dynamic and meaningful for students, favoring the deepening of the understanding of abstract concepts and the development of skills.