Methodology for the development of the logical mathematical thought from the demonstration by complete induction

Abstract

This article is the result of research on logical procedures associated with the application of the mathematical induction demonstration method to contents related to numerical successions; the study is based on insufficiencies in the teaching-learning process of the subject Mathematics in the twelfth grade, which have their basis in theoretical inconsistencies and the tendency to the mechanical execution of procedures without logical arguments. In order to contribute to solving this problem, the methods used were bibliographic review, pedagogical test and systemic-structural; mathematical. The main result obtained is a methodology that includes four models of mathematical activities with their teaching procedures; it could be concluded that an adequate conception of mathematical activities, consistent with the theory of numerical successions and the use of heuristic resources for inductive reasoning enhance logical-mathematical thought in the demonstration by mathematical induction.