REALIZATION OF CROSSCUTTING LINES OF KEY COMPETENCIES IN MATHEMATICS TEXTBOOKS

Abstract

The realization of crosscutting lines of key competencies requires a reorientation of the methodical system of teaching mathematics, which involves increasing the applied direction of the textbooks content. The didactic and methodical requirements for the selection of educational texts, mathematical problems and tasks of practical content, methodical apparatus of textbooks on mathematics are offered (extension of education functions; provision of fundamentalization and integration of content, its continuity; differentiated realization of educational material; the correspondence of educational texts to the stages of cognition; the application of the method of mathematical modeling; strengthening the creative component in the education content, etc.). The recommendations for the tasks of the textbook (four levels of difficulty; basic problems; problems with incomplete, redundant information; tasks on problems making; groups of problems with common or similar solutions; tasks with the use of auxiliary elements, etc.) are given. It is proved that the observance of the offered requirements and the ways of their realization ensures the applied direction of the textbooks content and improves, thus, developing key competencies of students.