Abstract
Postgraduate engineering and pedagogical education is defined as a specific organic part of the continuing education system, which is the process and result of the formation of a specialist’s personality on the basis of a wide range of educational services, ensuring the formation of his psychological and pedagogical competence.
Methodological approaches to the formation of the psychological and pedagogical competence of teachers of technical disciplines in the system of postgraduate education are specified: system-functional, competency-based, personal-active, integrative, differentiated, anthropological, subjective, acmeological, axiological, technological.
The totality of methodological approaches allows us to study the essence, content, structure of psychological and pedagogical competence of a teacher of technical education, formulate goals and develop content and technological support for the formation of psychological and pedagogical competence of teachers of technical disciplines in the system of postgraduate engineering and pedagogical education.

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