The article focuses on selected problems which have now appeared and fall under the ideas “industry 4.0” and “society 5.0”, namely on anthropological issues. Changes in the relationships between man and technology based on trust lead to an increase of the role of the technological factor in these relations. Other aspects of the analyzed changes concern the new requirements of the responsibility and changes of human subjectivity and rationality. The future of man appears to be an area of uncertainty related to inter alia the conditions of functioning and living in the order of the post-digital world.

This paper points out assumptions and reasons for using digital technologies, the importance of using digital technologies in teaching and management. It also refers to the digital technologies and digital competences as an essential part of the competency model of a teaching staff in education. It also points out the fact that existing competency models need to be further explored, decomposed, and formulated as an illustration by the digital competences extensions.