The article focuses on the problem of development of the lifelong learning skills of senior students in secondary school of general education. The model of interaction between the subjects of learning in the Trello project management system is developed.  The foreign literature learning environment in the Trello system is developed. The experience of using the Trello project management system in the process of teaching foreign literature in 10th and 11th grades is described. It has been found that according to the lifelong learning approach a person has to possess skills: goal setting, self-regulation, motivation, time management, self-directed learning, collaboration skills, and self-development. It was pointed out that there are common approaches to project management and educational process management. The use of online systems for collaborative work in the educational process in the secondary school of general education is suggested. Online systems for teamwork that support Kanban methodologies for project management have been analyzed. To confirm the effectiveness of the implementation of the Trello project management system as a tool for the development of lifelong learning skills of senior students, an experiment was conducted: criteria, indicators, levels, and the state of formation of lifelong learning skills of senior students were determined; statistical analysis of the results of the experiment was carried out. The effectiveness of the implementation of the Trello project management system as a tool of the formation of the lifelong learning skills of senior students has been experimentally proven. The study can be applied in educational institutions interested in using agile methods in teaching.

The article deals with the problem of foreign language lexical competence formation of non-philological specialties students, which is the basis for foreign-language communicative competence and a compulsory component of a future specialist's training. The relevance of using mobile technologies in the process of teaching students a foreign language to increase the qualitative level of lexical competence is substantiated.The analysis of mobile applications for the study of a foreign language has shown that there is no unambiguous approach to their development and implementation, focused on the specifics of future students' professional activities. As a result of the study, the structure, functionality, and design of a mobile application for the study of English by students of non-philological specialties were developed. A mobile application for developing the English language lexical competence for the Android operating system with the help of the integrated Android Studio mobile application development environment has been developed. Experimental testing of the effectiveness of applications in foreign language classes for mobile applications focused on the specifics of students' future professional activities has shown the positive impact of specialized mobile applications on the level of students' knowledge of the foreign language vocabulary.

The article reveals the theoretical and practical aspects of the organization of blended learning of future primary school teachers under quarantine caused by COVID-19. On the example of the educational component “Teaching methodology of social and health-care educational sector” the article describes the peculiarities of organizing the educational process in blended format, namely providing examples of tasks that allow to form civic and social competencies of first-level higher education students under the conditions of new time challenges. The article focuses on the specificities of working in the virtual learning environment Moodle, summarizes own teaching experience of training of educational component “Teaching methodology of social and health-care educational sector”. The author's method of structuring and content of the educational component is proposed, which is reflected in the textbook. The necessity of using digital tools Canva, Padlet, Coggle for organizing group work of students during blended learning under quarantine conditions caused by COVID-19 is considered and also the samples of tasks to be completed by future primary school teachers are given. The article presents the results of a survey of applicants for the first level of higher education program 013 Primary Education, which show that students have a generally positive attitude to using digital tools Canva, Padlet, Coggle, as it positively influences the formation of their professional competence and the formation of their own methodological system. The author's method suggested in this article is incomplete and is continually being improved in accordance with time challenges.

The basic didactic principles of distance and traditional forms of education are considered. The use of learning management systems (Learning Management System) is relevant in the context of the COVID-19 pandemic. In the process of transition of educational institutions to distance work and learning during quarantine, there was an expansion of the range of tools used and the expansion of the functionality of existing new tools. The main functional modules of modern learning management systems like Moodle, Google Classroom, Microsoft Office 365 and their implementation in distance learning are analyzed. The main functional modules of modern distance learning management systems are identified, they include such modules as system administration, access to educational materials, means to ensure communication between participants in the distance learning process, etc. Distance education is based on the principles and features of traditional forms of learning, in addition, new features are added, which are the use of Internet technologies for access to educational materials, online interaction between students and more. The peculiarities of implementation of the principles of distance and traditional forms of education on the example of higher education institutions of Ukraine (Berdiansk State Pedagogical University, National University of Life and Environmental Sciences of Ukraine) and Mexico (Autonomous Honored University of Puebla) are considered in the article. Based on the results of the study, general recommendations were developed for the simultaneous use of several platforms, which allows you to work from any device; under modern pandemic conditions, you can also use the mobile Internet, which increases the convenience and productivity; at any time you can view the necessary documents, perform tasks, responds to changes in the workflow, which allows you to learn quickly about innovations and change ways to solve problems. Thanks to the obtained results, teachers will be able to develop more effectively online learning environment. Keywords: distance learning, didactic principles, distance learning management system.

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