Mathematical connections identified in a class on exponential and logarithmic functions

Abstract

In this study, we analyzed the mathematical connections that emerged during a fourth-semester math class at a Mexican high school in which the exponential and logarithmic functions were addressed as an object of study. The data analysis was carried out using part of the onto-semiotic analysis, in which the mathematical connections between the primary objects that emerged in the different mathematical practices carried out were identified. Mathematical connections are conceived as a process by which a person establishes a true relationship between two or more concepts, definitions, propositions, representations, etc. One of the results found is that the reversibility connection between the functions was not established in the class and that the most evidenced connection was that of different representations (between the natural, symbolic, and graphic language registers).

Mathematical Connection; Exponential Function; Logarithmic function; Teaching practice; Ontosemiotic analysis