The content of the article deals with the issue of «professional competence of the educator», the essential signs of professional competence which are due to constant changes in the world and determine the requirements for a «successful adult» are established. It has been determined that «continuing professional education» involves the process of improving professional specialization which lasts throughout the life of an adult. An important role in this process is played by the andragogic approach. The andragogic approach in the system of higher education today is considered the most relevant in connection with the introduction of continuing education (education throughout life). Based on this the process of training adults who enter the master's program having some experience of professional activity must be built on the basis of the principles of learning but from the standpoint of andragogy. In the course of studying the principles of adult education, the importance of the principle of modular design of the education process; the principle of education support; the principle of information completeness and accessibility; the principle of partnerships between the subjects of the education process and the principle of the self-development regime are proved. Directly andragogy contributes to the formation the necessary skills of those who learn, helps to master the necessary knowledge, forms the skills of planning, implementation, evaluation and correction of the process of their training and their own professional activities. A successful example of such a process is the modeling of the education system at the university regarding the training of students of the second (master's) level which is based on requests and provides for such a structure in which a scientific and problem approach is carried out which involves the integration of various sections of the education modules of academic disciplines. In the context of this the education and professional program «Pedagogy of Higher School. Andragogy», master's degree, field of knowledge 01 Education/Pedagogy, specialty 011 Education, pedagogical sciences, the level of the program of the NQF of Ukraine - level 7, FQ-EHEA - second cycle, EQF-LLL - level 7 and the features of its content are disclosed. It should be noted that through the study of the content of the academic discipline «Basics of Andragogy» in the context of continuous education, undergraduates become aware of the importance of education in the socialization of various groups of the adult population, determine the andragogic potential of formal, non-formal and informal education; learning in the adult education theory; acquisition of skills by students to identify the most relevant problems for different age groups of adults and organize their education activities in such a way as to provide them with an opportunity to get acquainted with various scientifically sound approaches to solving problems that concern them.
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