This article raises the problem of teaching discrete mathematics in an educational institution and on the Internet, and also explores problems and solutions in the field of distance interactive education. Advanced technology has set a high bar for a new generation of engineers. Mathematics training plays a huge role for technical professionals. It is they who lay down the methods that young people will need in the future when working in their specialty. At the same time, there is a shortage of educational and methodological literature in this area. The literature on discrete mathematics offered in various manuals is either described at an insufficiently detailed level or too theorized, which causes only great difficulties for most students. The article discusses the concepts of interactivity in interactivity and its importance in the Internet space. Interactive learning is a new, more creative and interesting method of organizing learning activities online, the reader of a course, webinar, training actively interacts with learning elements and is fully involved in the process. The student feels his success, his intellectual viability and involvement in the formation of content. The article discusses the ways of using interactive elements in teaching, identifies the problems of online education in general and teaching discrete mathematics in particular.

The final part of the article presents models of functional requirements for the implementation of an interactive web-based system for teaching discrete mathematics and the results of a study of potential users of such a system.