Abstract
In the article the theoretical studies of the relevance of the problem of the use of active and interactive teaching methods in the education system are carried out, the factors that determine the effectiveness of their use are presented, the dependence among bachelors of engineering training areas of ready to reveal the natural-science nature of the problems encountered in the course of professional activity, and the ability to attract to their solutions relevant physic-mathematical apparatus of cognitive independence and perceptual-interactive competence are obtained, model evaluate the effectiveness of the application of active learning methods for the formation of core competencies in the mathematical preparation is proposed.
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