Abstract

Introduction. For quite a long time, this problem was considered from a pedagogical point of view in various aspects. With the technological development of society, more and more attention was paid to the informational view of e-learning, its importance in the global processes of formation of new constellations of specialists.This was noted in world publications of all countries. It has been proven that e-learning is a complex information system, the study of which should begin with a system analysis, it is the system studies that create the basis for further consideration. Based on the analysis of the main processes of continuous learning from a technological perspective. One of the most important is the mathematization of the processes and phenomena of the surrounding world. This process provides a transition from verbal natural language definitions to abstract models. Purpose. The purpose of the article is a systematic study of continuous e-learning as a complex information system by formalizing the formalization of the elements of continuous education. Methods. The paper presents studies of the mechanisms of formation of values based on the phenomenological approach. Basic formalized structures are considered. In the phenomenological approach at the highest level of abstraction lifelong learning is defined as a system of the highest level of abstraction, if the objects of the system and the relationships between them are given. Results. The article considers a number of issues related to systematic studies of electronic continuous learning. The role of formalization of elements of continuous education is presented. It is necessary to note the special importance of the procedure of formalization of tasks. The key principles of continuous learning as a complex system are defined. The application of the phenomenological approach made it possible to significantly improve knowledge, practical work and research. Conclusion. The article provides an idea of analternative view of continuous learning as a complex information system, opens a large field of research for mathematicians, systemengineers, specialists in the field of data bases.

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