The article deals with the peculiarities of the implementation of the technology of formation of the general-educational skills of elementary school’s pupils in the Mathematics lessons at the Elementary school. Besides it is revealed the content of each component of the educational activity: motivational, substantive and procedural. The motivational component provides the personality’s demand and striving to the cognitive activity. This is revealed in the active attitude of pupils to the mastering skill to study independently. It provides the opportunity to form and consolidate the positive attitude to the educational activity, curiosity, cognitive interest, personal importance of learning. But the motivational component of the cognitive activity doesn’t provide and doesn’t form technological and procedural cognitive activity. This means that it doesn’t provide the mastering practical and intellectual abilities and opportunities of the personality. These abilities provide the performing of the mechanism in itself during the process of the goal-oriented search. The substantive component includes familiar knowledge, skills which could be the base for the mastering new knowledge and ways of action. The interaction of familiar (known) knowledge with the new knowledge provides different level of organization of the process of cognition – reproductive, partly-search and creative. The core of this skill is the procedural character of the educational activity. Within modern conditions of the education’s development the attention is paid not to the amount of knowledge, certain strength, deepness but to the ways and methods of organization of the individual knowledge, which could be reliable base for the making effective decisions. The procedural component is represented by various ways of skills’ organization and realization (skills. Actions, operations, cognitive processes) at different levels of pupil’s cognitive independence: reproductive, partly-research, creative. The content of the defined components of the educational activity tell about their interdependence. It also characterizes the developed, deployed educational activity. The author makes stress on the necessary feature of the pupil’s independence. It is defined as the mastering control and self-control by the pupil. The article also characterizes peculiarities of each stage of forming elementary school pupil’s skills of self-control. Education of pupils of elementary school with the orientation on the self-control provides not only the increasing of their training but also it provides such personal features as independence, responsibility, goal-orientation, discipline. But the main fact is that ability to self-control provides the appropriate level of the development of “skill to study” which is the basis for the successful educational activity of primary education applicants. Key words: technology of formation of general-educational skills, skills of independence studying, components of the educational activity, control-self-control.