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In professional growth of teachers, self-assessment of the pedagogical activity is a precondition for their effective practice therefore student teachers are encouraged to carry out self-assessment of the pedagogical activity already at the beginning of their studies. In order to make self-assessment of student teachers’ pedagogical activity more productive, it is important to find out a theoretical concept of self-assessment of student teachers’ pedagogical activity and to understand what impacts self-assessment of their pedagogical activity in practice. In the due course of the analysis of the scientific literature definition and functions of self-assessment of student teachers’ pedagogical activity, definition, functions, criteria and indicators of the self-assessment skill of student teachers’ pedagogical activity are formulated and as a result of the empirical research preconditions for successful self-assessment of student teachers’ pedagogical activity are revealed.

Successful learning process in pre-school requires collaboration between children, educators and parents, whose primary goal is individual understanding of each child to promote his academic performance and personal development as a whole. This paper shows a pre-scientific and theoretical background of self-directed learning in preschool, as well as developed and theoretically substantiated child initiative research method "New friend". Particular attention is given to the promotion of the child's initiative, which is crucial in the process of self-directed learning. The empirical study of children's initiatives shows analysis of collaboration with the parents. A qualitative study reveals pre-school children's initiative promotion opportunities in collaboration with parents, by using research method "New friend".

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