Abstract: In the article discusses the questions of building the course “Linear Algebra” in higher education, the goals and objectives of training are considered. Also touched upon are the problems of teaching theoretical material in mathematics.

Abstract: The article presents the results of an analysis of the formation in schoolchildren of a valuable attitude to mathematical knowledge, emphasizes that goal values are the dominant component of the mathematical activity of high school students and are determined by the specific motives and interests of schoolchildren, the acceptance of the content of mathematical knowledge as a value is determined by their structuring, re-arrangement, the role of mathematical problems is noted. in mastering schoolchildren by mathematical knowledge.