LOGARITMOS E A TEORIA DOS TRÊS MUNDOS DA MATEMÁTICA: UMA ANÁLISE DE QUESTÕES DE VESTIBULAR

Abstract

This paper presents an analysis of nine questions involving logarithms from the Entrance Examination of the Federal University of Rio Grande do Sul, applied between 2018 and 2024, considering the principles of the Three Worlds of Mathematics Theory to identify the dimensions of mathematical thinking that could be explored in these questions. The analysis shows that the potential of these questions to engage students' mathematical thinking lies predominantly in the thought processes related to the Symbolic Operational World. In some cases, they may stimulate cognitive processes from the Conceptual Embodied World, and in all cases, transitions through the Formal Axiomatic World can be observed.

Keywords: Logarithm; Theory of Three Worlds of Mathematics; Mathematical Thinking; Mathematics Education; David Tall.