Theoretical perspectives of the process of making conjectures [in Spanish]

Abstract

[Summary]: We propose a possible classification of the conjectures that arise in the context of mathematical problem solving, and of the different steps taken in the process. Starting from the results of various previous investigations, we elaborate the beginnings of a theoretical framework that permits an analysis of the conjecturing process in a problem-solving context, and we use it to analyse a particular example. Moreover, we discuss some implications for practical mathematical education.