Lessons of the Pandemic for Family and School—The Challenges and Prospects of Network Education

The article contains the study results of the problems with the accessibility and safety of educational resources, applications, and tools of distance educational technologies for schoolchildren during the period of distance learning. In the framework of the study, the focus was also on the satisfaction of the subjects of educational relations with the services of providers and the support system for educational institutions during the COVID-19 pandemic in Moscow. The article identifies the key challenge to contemporary education—are schools capable of reworking and integrating all the achievements and breakthroughs of distance learning? The results show that when implementing distance learning, it is necessary to take account of the threats and risks that it entails—(1) the barrier of technological innovation; (2) the barrier of social factors; (3) the barrier to physical and psychological health; (4) the barrier of digital didactics; (5) the barrier of legal regulation; (6) the barrier of an inclusive environment. The study results can become the basis for the preparation of proposals and the development of recommendations to provide access to high-quality education for all schoolchildren in the context of distance learning.