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The analysis of the social and communicative conditions of maturation of young children actualizes the need for them to develop a special kind of personal qualities in the course of education, formed as a result of acquiring the ability to "think mathematically". The problem of teaching a growing personality to apply mathematical content to solving a wide range of problems is considered in the context of putting forward a new paradigm of the quality of education. According to it, the effectiveness of the functioning of the education system is established in accordance with the change of educational guidelines "From knowledge, skills, skills - to functional literacy". The practical solution to the problem of improving the quality of education, considered from the perspective of the formation of functional literacy, is due to the development of positive behavioral strategies in students in various life problem situations, the resolution of which can occur in the absence of a fully deterministic solution. The current stage of development of education encourages teachers in their professional activities to proceed from the targeted development of the students of the educational system of skills that allow them to resolve emerging problem situations on the basis of the functional literacy formed in the course of conducting an initiative research search. The problem of developing such skills is relevant at all stages of the educational development of a growing personality. The readiness of preschool teachers to develop functional mathematical literacy in their pupils deserves close attention from the system of additional professional education of teachers. The phenomenon of the lack of special developments aimed at implementing the strategy of education development on the basis of the designated paradigm directs the study to the problem of developing competently oriented tasks for the formation of functional mathematical literacy in pre-school students.