Marina Shabalina

The article examines the existing in academic literature approaches to the definition of "geometric vector" concept. The authors offer, reasonable from the viewpoint of physical-technical disciplines, definition of "vector value". they investigate specifics of the operations on vectors defined in physical space. The differentiation of vector values adopted in physical and technical applications is discussed.

The questions connected with modern tendencies of mathematical education development in technical higher schools are deliberated in the article. The reasons of essential and methodical aspects inefficient use in professional mathematics teaching and the weak implementation of information and communication technologies educational potential in teaching process are analyzed. The author suggests the ways of engineering students mathematical education improvement.

The article explores the possibilities of continuity principle implementing in the framework of "school - university" in the construction of mathematical problems system. As an example, a set of tasks is proposed for studying the concept of "polygonal function" in the topic "Operational calculus". It is shown that the application of the continuity principle helps to develop skills necessary for this concept learning.