The article discusses the psychological and pedagogical foundations of the theory and practice of specific pedagogical activity of teachers of humanities of educational institutions of higher education (university teachers, high school teachers, humanities teachers), which received the author’s name “step-by-step method of preparation for classes”. The key problem, purpose, main features and results of the activity of university teachers at each stage of this methodology as an algorithmized educational technology are revealed. The novelty of the content is due to the formation of psychological images (models) and material products among higher school teachers at each stage, ensuring the effectiveness of teaching and learning, training and education, and professional education of students.