Teaching mathematical disciplines in conditions of applying cloud technologies on the basis of LMS Moodle

Problem and purpose. The article deals with the problem of organizing distance mathematical disciplines training for students of engineering majors on the basis of LMS Moodle based on a polyparadigmatic approach in mathematics training. LMS Moodle is Learning Management System (LMS) or Virtual Learning Environments (VLE) with an open source. The purpose of this work is to tell about the possibility of using the Moodle Cloud service (a new free hosting for Moodle-sites, signing up on which any teacher has the opportunity to organize distance learning). The transfer of support for learning management systems in the cloud makes sense for educational institutions that cannot afford to purchase and maintain expensive equipment and software. In turn, the trainee has the opportunity to get high-quality work with LMS Moodle, not being a student of the educational institution, on the basis of which the virtual environment platform is deployed. Methodology. Today, due to the powerful development of software and hardware, cloud technologies have come to the training. In this regard, we consider the polyparadigmatic approach in teaching disciplines as an open cluster of different approaches, which may include cloud technologies, which are new in education. Results and conclusions. Based on the example of organizing an electronic training course on mathematical analysis using the Moodle Cloud service, the article has analyzed the possibilities of such a learning space and indicated further prospects for increasing the effectiveness of e-learning.