Page: 38-50 Author: Hejný, M., Kuřina, F. Key words:
The interrelations between the Popper’s conception of three worlds (physical one, cultural one and mental world of the man) and the problems of education are presented. The educational process is conceived as the process of cultivating the student’s mental world based mainly on the development of students’ experiences. The important part of this process consists in forming the student’s ideas about concepts and their different mental representations. The constructivist approaches to the knowledge correspond well to such a view of educational process. The adequately stimulated student proceeds actively to the construction of his ow‘n mental world. The authors consider the constructivist approaches in didactics of mathematics to be an effective way of reducing formalism in the teaching of mathematics in our schools.