Matemáticas: una reconstrucción histórico-filosófica para una nueva enseñanza

Abstract

In this paper we analyze the origin of the Rationalist vision of Mathematics with its emphasis on the formal, deductive and axiomatic aspects, and whose influence has been decisive in mathematics instruction. The analysis description of this paradigm addresses the philosophy of mathematics in the classic Greeks, Descartes, Leibniz and Kant as well as in the period 1870 to 1940. This research seeks to make a theoretical re-interpretation about the nature and history of Mathematics, capable of founding a new and necessary approach in the teaching of Mathematics. What is intended, then, is to suggest the need for a radical change in Modern Philosophy of Mathematics, which allow deep changes in its teaching.