Intuition in the field of mathematics based on the works of Efraim Fischbein (1920-1998)

Abstract

This work addresses the concept of intuition, as well as elucidates the manifestation of different categories of intuitive reasoning, which are analyzed from a theoretical perspective, aiming at the possibilities of its identification and contribution to the educational area. Thus, the objective of this paper is to present intuition and its categorization, from the perspective of Efraim Fischbein (1920-1998), as a theory to be considered, seeking a more comprehensive view of its mechanisms, and using research evidence from his works, as a way of to support and expand the interpretation and use of intuitive reasoning aimed at the field of Mathematics. To this end, bibliographic research was adopted as a methodology for this work, in which a content analysis is carried out, seeking to substantiate a reflective investigation on some of the works by the aforementioned author. Finally, in the field of Mathematics Education, it is important to develop in students the ability to distinguish between perception, intuitive feelings, intuitive beliefs and formally held convictions, developing appropriate interpretations in the field of intuition, together with the evolution of formal reasoning structures logical.