Formation of Schoolchildren’s Basic Mathematical Notions on the Basis of the Funding Concept
In the article features of formation of schoolchildren and students’ basic mathematical notions in the light of the increase of motivation of pupils and deeper understanding of materials are considered. Use in training of the concept of funding can become a decisive factor. This notion allows realizing the principle of availability of training in the form of phasing of the process of formation of notions about the main mathematical structures. Use of the funding concept is traced in the article on the example of formation of schoolchildren and students’ understanding of the scalar size. As any numerical set (a subset in R) is linearly ordered, the number is a special case of the size. It allows providing the unity in studying different types of a real number and to enter all types of a real number as some sizes. Long-term experience of a number of schools according to the programme of D. B. Elkonin - V. V. Davydov shows availability of such understanding of the size for 6-7-year-old pupils.