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1 | The analysis of research works on a problem of readiness of future preschool teachers for mathematical development of children is submitted. The main approaches to the definition of the concept “readiness” are disclosed. Based on the analysis of curricula in the direction of preparation of “Psychological and Pedagogical Education” profile of “Psychology and Pedagogy of Preschool Education”, as well as the professional standard of the teacher, the competencies necessary for the implementation of the mathematical development of children of preschool age are distinguished. The readiness of future preschool teachers for the implementation of the mathematical development of children is considered through system, activity and competence-based approaches, which allows us to define this concept and consider the process of formation of this readiness from different angles. Generalizing the experience described in psychological and pedagogical literature and dissertation researches on this problem, the components of readiness of future preschool teachers for mathematical development of children, such as cognitive, praxeological and axiological are allocated and characterized. On the basis of the allocated components, criteria and levels of formation of this readiness are defined. The purpose of the article is to give an author’s idea of the structure and content of the professional readiness of future teachers of preschool education for the mathematical development of children. Keywords: readiness, future teachers, preschool of education, criteria, levels, mathematical development | 863 |