In order to improve the competitiveness of the state, many countries of the world are reviewing educational systems in terms of their content. The main priorities of the quality of educational services are the relevance of knowledge, skills and abilities; their ability to ensure a successful future for every citizen, as well as the way of effective transfer of educational information to the younger generation. The textbook presents the transformation of the questions "What should children learn?", "What is the most effective way of teaching in elementary school?" from the historical and modern positions. The author reveals the algorithm of organizing the educational process in a renewed elementary school. Its basis is formed by learning objectives and expected results. The author proposes the realization of learning objectives from the position of development of general mental giftedness of a junior schoolboy.