The manual presents the main content of pedagogical work on the formation of elementary mathematical concepts and the development of mental activity in children of primary preschool age (first year of study) . The manual reflects a systematic approach to planning, organizing and conducting classes with children in kindergarten or UWC . It contains 26 detailed plans-comments of developmental classes, an application with a set of handouts for individual work of children in classes and a workbook, with tasks for fixing the material passed by children . The content of the manual is focused on achieving the standard of preschool education and can be applied in preschool institutions operating under the programs "Sources", "Typical program of education and training in kindergarten" . The manual is addressed to a wide range of specialists working in preschool and educational institutions, including kindergartens of a correctional orientation (logopedic, ZPR) . The allowance can also be used by parents in the conditions of home education of children.