Methodological features of introduction of abstract concepts in teaching of advanced mathematics

  • Ірина Ігорівна Сидоренко Department of fundamental disciplines, Academy of Internal Army of the Ministry of Internal Affairs of Ukraine, 3 Povstannya sq., Kharkiv, 61001, Ukraine
Keywords: abstract concepts, methodic, teaching, 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.


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How to Cite
Сидоренко, І. (2015). Methodological features of introduction of abstract concepts in teaching of advanced mathematics. Theory and Methods of Learning Mathematics, Physics, Informatics, 13(2), 49-56. Retrieved from
Theory and methods of learning mathematics