On teaching of bases of real variable functions theory

Abstract

The main aim of the work is one of the mathematics disciplines teaching methodology improving, namely the real variable functions theory. The article outlines the theoretical material - basic concepts, statements in their logical sequence. For practical lesson learning task is chosen, which implies the need for the student to identify a particular something in common, as discussed in the lecture. The teacher guides the work of students c through questions to encourage them to self-reasoning and active search for the right solutions. In this article we present the test questions and tasks to determine the rate of formation of the competence of the student. Thus, we believe that the study is transformed from a traditional discipline of study in cooperation and conscious acquisition of knowledge. The paper presents one of the methods of presentation of theoretical material - basic concepts, statements in their logical sequence. For the practical sessions as the theme chosen this learning task, which involves the need for the student to "touch" material, in particular to identify common, as discussed in the lecture. In the practical classes the teacher directs the work of students c through questions to encourage them to self-reasoning and active search for the right solutions. In this regard, we give control questions and tasks to determine the rate of formation of the competence of the student. Thus, we believe that the study is transformed from a traditional discipline of study in cooperation and conscious acquisition of knowledge.