Development of abstract thinking of future mathematics school-teachers

Abstract

The author presents such content of course of linear algebra for future Mathematics school-teachers that, by his experience, can ensure the necessary development of abstract thinking of the students. The author offers to pay attention to the concepts of axiom, theorem and lemma, to select certain types of theorems and certain methods of its proof at the beginning of the course. Further, it makes sense to consider the theory of matrices and systems of linear algebraic equations. A special attention is paid to the technique of introducing a concept of a group. The proposed system has been tested. The approbation confirms the fact that such a system promotes the necessary development of students' abstract thinking.