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The study as the conclusion of the "Series on University Teaching" first deals with the fundamental understanding of adult education and continuing education. The further education of teachers as a project is presented. Thus, the tertiary education sector is addressed. Denominational adult education as a continuation of religious education and further education as cultural-religious competence following an education results in a special task of an educational mission. An insight into the author's activities documents a summary of courses in tertiary and quaternary education. The conclusion goes into reflections and an outlook, thus providing a critical examination of the field. Elements form the process of professionalization and continuing education as well as its participation and connection of adult education and university didactics. Aspects on the state of research result from the reflections on the relationship between theory and practice.