Recent years of the covid pandemic and military threats have significantly exacerbated the need for young people to obtain university education remotely. This also increases the requirements for the effectiveness of using the didactic capabilities of digital means and tools of distance education, and the quality of relevant content for organizing and supporting students' independent educational activities. Able to effective independent cognitive activity can only be a person who has the appropriate cognitive skills, and is aware of his own cognitive processes. Therefore, filling students' independent work with metacognitive content should be considered as the subject and purpose of training, along with the traditional goal of the university, which is the formation of subject knowledge and skills. The subject of our research is the use of means and tools of LMS Moodle for the organization of independent work of students based on a metacognitive approach in the study of physical and mathematical disciplines. The article analyzes the problems of organizing students' independent work and offers some ways to solve them using the Moodle functionality. Examples of the use of individual Moodle activities by the article's authors for the organization and support of independent work of students are given.