COMPETENCE APPROACH TO TEACHING MATHEMATICS AND HIGHER MATHEMATICS FOR THE STUDENTS MAJORING IN 181 FOOD TECHNOLOGIES SPECIALITY ON THE EXAMPLE OF APPLICATION OF KRAMER'S RULE

Abstract

The relevance of the chosen research topic is that the formation of mathematical skills of students majoring in 181 Food Technology is a component of their success in professional activities. An important basis is the ability to solve problems using equations and their systems. One of the tools for solving quadratic systems of linear algebraic equations is Cramer's rule, and Cramer's theorem is one of the key theorems of higher mathematics. The aim of the article is to discuss a new methodological approach to the study of Cramer's theorem and its application for students majoring in 181 Food Technology educational and professional degree of bachelor. To achieve the goal, the following methods were used: analysis, synthesis, generalization, abstraction. The article proposes to introduce Cramer's rule for cases n = 2 and n = 3 within the discipline «Mathematics» with appropriate practical application in professional problems and to continue the study of the topic in the general case within the discipline «Higher Mathematics». This can be realized if we consider Cramer's rule for systems of two linear algebraic equations with two unknowns and for systems of three linear algebraic ones. equations with three unknowns with practical application for solving problems of professional orientation. In our opinion, such a competence approach has a number of advantages. First, in addition to the classical methods of addition, substitution, graphical method of solving systems of two linear equations with two unknowns, students will master another method of solving, and therefore additional benefits in preparing for the state final certification in mathematics. Secondly, when studying the discipline «Higher Mathematics» it is possible to consider the topic «Cramer's Theorem» as a generalization of the study on this topic in the discipline «Mathematics», which will increase motivation for learning and connections between disciplines. Third, it places additional emphasis on the formation of mathematical skills of students majoring in 181 Food Technology and the practical application of mathematics to solve professional problems in junior high school.