História, sensos matemáticos e constructos reflexivos matemáticos: questões sobre educação matemática

Abstract

This paper seeks for the foundations in the History of Mathematics, Psycology and Antropology in order to establish an epistemological paradigm for Mathematical Education. The purpose is to show that it’s possible to restore historically the external approach in contraposition to the internal approach, by using the Mathematical Senses and Mathematical Reflexive Constructs. Therefore, we indicate that science should be taken as the sober experience followed by the necessary “mathematization”.