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The article is devoted to the actual problem of pedagogical excellence basis formation as a result of readiness to the pedagogical activity of doctoral students in the technical university in the process of pedagogical disciplines teaching. The peculiarities of pedagogical excellence basis formation of doctoral students in the process of pedagogical disciplines teaching on based process modeling leaning pedagogical disciplines are considered. The article reveals the essence of the modeling process when teaching pedagogical disciplines to graduate students of the university on the basis of a competent, systematic approach. Examined hide essence of the context system forming of bases of pedagogical mastery in teaching of pedagogical disciplines future Ph.D.s of 1 of educating, it elements are aims, maintenance, methods, methods and forms of educating. The results of pedagogical excellence basis formation of future high school pedagogues from the 1-year postgraduate students on above-mentioned principles are discussed. In the process of forming the foundations of pedagogical mastery, it is worthwhile to form a certain system of knowledge where knowledge about system modeling in the pedagogical process should occupy a significant place. Based on the analysis of psychological and pedagogical literature, the features of modeling teaching pedagogical disciplines in the context of forming the foundations of pedagogical skills in the process of studying future PhDs in a technical university are determined. The model of the systemic context formation of the foundations of pedagogical skills in the process of teaching pedagogical disciplines to graduate students is characterized. Depending on the stage of the context-based system formation of the foundations of pedagogical skills when teaching pedagogical disciplines to future PhDs of 1 year of study, this is achieved through the achievement of a number of goals. We believe that the development and implementation of a block of pedagogical disciplines, taking into account the professionalized content of teaching pedagogical disciplines, the fundamentalized teaching content of basic software products (silibus), the fundamentalized teaching content of promising products (the leading nature of training, forms, methods, innovative technologies) of training in a technical university promotes the acquisition by future teachers of the corresponding hierarchy of knowledge systems, both ensures, the readiness of the future teachers to the quality and efficiency of reproductive and productive career. The analysis of the results of the formation of the foundations of pedagogical skills of the future higher school teachers from among the graduate students of 1 year of study on the above foundations showed a positive trend. Conclusions and prospects for further research in the direction of this direction are shown.

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