The present paper is devoted to the problem of spiritual and moral development of an individual in the current conditions, when within one generation many of the usual attributes and skills of a personal identity in the cultural paradigm may change, and are becoming increasingly important. Using the example of Kalmyk State University named after B. B. Gorodovikov and the Autonomous Non-profit Educational Organization 'School League', the authors describe the network cooperation of the regional higher institution and educational institutions, which is built on the ideology of open learning and education. This network interaction has allowed creating a special space for joint activity, allowing participants to build a trajectory of their own spiritual and moral development, which is considered by the authors as a complex of personal search and experience of participants. The innovative components of such a cooperation are the educational institutions united by Kalmyk State University. The calendar of activities for all the participants of the network and the content of the network cooperation are located at www.schoolnano.ru. The systemically important center for this cooperation at the regional level is the Kalmyk State University named after B. B. Gorodovikov, and the Autonomous Non-profit Educational Organization 'School League' is at the federal level (St. Petersburg). Such a network approach to solving the problem of spiritual and moral development of an individual is consonant with the spirit of modern and postindustrial society, since humanity has entered the Fourth Industrial Revolution, a digital era, the age of the information society and nanotechnologies.