The formation of students' mathematical competence through competence-oriented tasks

The aim of the article is to reveal the possibilities of the content of linear algebra teaching in the formation of mathematical competence of future mechanical engineers. The implementation of the experimental research involved the use of qualitative and quantitative methods: observations, conversations with teachers of mathematical disciplines, testing, and mathematical processing of research results. Methodological support of the course "Linear Algebra" was prepared, containing a system of competence-oriented tasks. The study was conducted at the Industrial University of Tyumen (Russia). Experimental (86 students) and control (87 students) groups were formed from first and second-year students. In the control groups, training took place according to the traditional method. Statistical analysis of the results obtained when comparing two empirical distributions was carried out using the Pearson chi(2) test. As a result of the study, the features of the academic discipline "Linear Algebra" in the formation of mathematical competencies of students of technical universities were identified. An approach to the formulation of a competence-oriented problem was developed. The classification of tasks was carried out by types (algorithmic, research, computational, instrumental, modeling) and levels (reproduction, establishment of connections, reasoning). The results of the scientific and experimental work indicate an increase in the level of mathematics competence of future mechanical engineers and fully confirm the effectiveness of the proposed method of teaching linear algebra.