Keyword: «phased process of formation of notions»

The paper discusses the peculiarities of pupils’ mathematical notions the formation in the modern paradigm of education and in the light of the demands, made in the concept of mathematical education. These requirements imply updating the content of teaching mathematics at school, bringing it closer to the modern sections and practical applications, the widespread using of project activities. To overcome the existing fragmentation of various mathematical disciplines and the isolation of individual sections, to ensure the integrity and unity in the teaching of mathematics is possible only on by allocating the main lines in it. Mathematical structures are the rods, the main construction lines of mathematical courses. Phased process of formation of concepts about the basic mathematical structures is a prerequisite for the implementation of the principle of availability of training. Method of projects can be of great help in a phased study of mathematical structures. Application of this method in the study of mathematical structures allows solve a number of tasks to expand and deepen the knowledge of mathematics, consider the possibilities of their applica-tion in practice, the acquisition of practical skills to work with modern software products, the full development of the individual abilities of pupils.