The dynamics of changes in society, in the labor market, in education, external and internal crises within the areas dictate the need to substantiate and apply new approaches to teaching adults as important subjects of socio-economic development. The article, namely in this context, raises a number of problems in the training and education of adults: an adult as a subject of social education; behavior of an adult in crisis situations; classification of crisis situations within the framework of age development; definition of the “social resilience competence” concept, identification of the peculiarities of resilience competences development. The emphasis is on substantiating the andragogical model of adult education, which includes the following: the formation in adults of qualities and competences that allow them to overcome crisis situations; the provision of educational means for adults to adapt to the social and professional environment and to develop adults’ competences of resilience to crisis situations by modeling their behavior in these situations and finding ways out of them.