The second edition of the partial educational program "Mathematical Steps" has been supplemented and revised in accordance with the GEF DO. The volume is indicated in the book, the content and planned results of the development of the Program for the development of mathematical ideas in children 3-7 years old (educational field "Cognitive development") are presented. The presence of the QMS is one of the conditions for the effective implementation of the Program. It is recommended for all participants in the educational process - children, teachers, parents.