A evolução do símbolo de igualdade na história da matemática e sua importância na reorganização dos conceitos de igualdade na transição da aritmética para a álgebra

Abstract

The study aims to analyze the equality symbol in mathematics, focusing on the transition from arithmetic to algebra. The research explores the history of the symbol, its origins and evolution, and addresses the difficulties faced by students during the transition, highlighting conceptual and pedagogical challenges. Several concepts associated with the equality symbol were identified through an in-depth literature review, including equivalence, combinatorial operations, mathematical identities, and notation standardization. The study also investigates students’ understanding of the symbol and pedagogical strategies for a more solid comprehension. The results emphasize the relevance of the equality symbol both historically and pedagogically, and the need for a proper understanding for the development of logical-analytical thinking and solving complex problems. In conclusion, the research reinforces the importance of the equality symbol in mathematics, particularly in the transition from arithmetic to algebra, recommending the adoption of pedagogical approaches that consider the multiple facets of this symbol, assisting students in the transition from arithmetic to algebra more effectively.