Methodological features of introduction of abstract concepts in teaching of advanced mathematics
Research focus: the analysis of the main psychological, methodological and pedagogical problems of understanding of abstract concepts for those cadet, whom the mathematics isn’t a profile subject.
Problem research: a search of methodical receptions help to eliminate a problem in understanding of an essence of abstract concept in view of psychology of the person.
Object of research: an abstract concept, as philosophical category and psychological bases which a perception and understanding of the abstract concept by the person base on.
Subject of research: methodical receptions by means of which the clear understanding of abstract concepts and their organic association with the previous knowledge of the cadet and his outlook as a whole is reached.
The research method: pilot study.
The results: a training improvement of quality was reached, according to results of semester certifications.
The main recommendation in teaching of a advanced mathematics course is an optimization of two components of training – an extent of formalization of a course and its scientific level on the one hand, and an availability a connection of the course to the cadet’s outlook – on the other hand.
2. Беклемишев Д. В. Курс аналитической геометрии и линейной алгебры / Д. В. Беклемишев. – М. : Наука, 1989. – 336 с.
3. Лузин Н. Н. Курс дифференциального и интегрального исчислений. Часть 1 / Н. Н. Лузин. – М. : Высшая школа, 1961. – 589 с.