Today, in the conditions of a pandemic, due to quarantine restrictions, educational institutions are forced to develop a new system of work of both the institution in general and the teaching staff in particular. There is a need to build a new system of teamwork. The article outlines research on teamwork. Definitions of "team" and "working group" are given. The effectiveness of team interaction is marked by the cohesion of the team in achieving the goal, the team shares the overall responsibility for the work of the team. With effective interaction, team members achieve higher results together than they could achieve on their own. A model is presented, which defines basic team competencies, which consist of five sectors: relations and communications; teaching; purpose and motivation; internal processes; external processes and environment. On the basis of the specified model features of formation of basic components of a team at a remote form of work are defined. The article identifies barriers that arise during remote work in a team, namely: reducing the level of productive conflict, hiding mistakes, psychological danger, incomprehensibility of teachers of the overall goal, insecurity of colleagues, uncertainty about the importance of their work and the value of their contribution to the overall case. The factors that help the team stay effective and balanced are identified. One of the main factors and an indicator of team success is psychological security, which determines the level of protection of the psyche of the teacher, their ability to maintain optimal functioning, eliminate external and internal threats and provides an opportunity to effectively perform professional activities. Recommendations were given to the head of the educational institution to improve team interaction during the team's transition to distance work. The technologies that are recommended for remote teamwork are described. Recommendations for pedagogical workers on establishing effective team interaction in the conditions of remote work are presented. Further areas of research to improve the system of work to improve the effectiveness of teamwork are outlined.