Modern teaching of mathematics follows the development of technology, and tends to introduce new teaching materials into teaching of mathematics in order to bring it closer to pupils. The use of computers is no doubt an innovation in learning and is creatively used in the context of learning in different ways so as to motivate pupils to improve understanding, finding out and adopting of mathematical concepts, phenomena and laws. This paper presents the pedagogical - psychological characteristics of teaching in those organisations where computers have been introduced. Directions regarding the use of computers and multimedia presentations, educational software and distance learning for the modelling of teaching are given in this paper. Special emphasis is put on the possibility of implementing new information technologies in educational process, with the aim of increasing the quality of teaching of mathematics.