Contemporary methodological approach to teaching of mathematics

This paper presents a modern methodical approach to teaching mathematics that can be applied to other subjects, which is related to the rapid scientific and technological development. There are many requirements for education, with the most important being the improvement of educational process which will provide optimal results. Drawing on ICT and its methodological basis, teaching in general is considered as a system with implemented management. Management in education is related to the existence of direct and feedback loop that we apply when using didactic triangle, which due to the development of technology transformed into the quadrilateral. We use a method of modern science, the Cartesian method, to help students learn how to solve problems easily, as they need to learn how to divide a problem into simpler parts. In 1962, Paul Haimman has applied the Cartesian method to educational space and labelled it as a point with six components. Our contribution in this paper is to establish direct and feedback loop between the indicated six components.