Having included the list of general and professional competencies in the educational standards, the significant difficulties occurred in their formation and measurement of the level of their achievement in teaching mathematics. The aim of the work is to develop a set of application mathematical problems aimed at the formation of both the skills in subject and certain competencies of the students of the secondary professional institutions. The theoretical research formed the methodological basis. It consists of the theory of competency-based approach, theory of problem solving and applied direction of the course of mathematics. The main directions of creating the complex of application tasks, the content of which has professional orientation, were also defined. The practical part of the study is to determine the content of application tasks in a dedicated professional field, justifying the influence of applied professional-oriented tasks on the formation of general competencies in students. The efficiency of the developed complex of application tasks was estimated during the pedagogical experiment. The results show that this complex promotes both in-depth study of mathematics and the formation of a certain group of competencies in students. The complex is applied in educational process of Ulyanovsk College of Food and Trade. The data of the study can be useful for teachers of mathematics of the secondary professional institutions.
A competency-based approach to the systematization of mathematical problems in a specialized school
