Keyword: «applied tasks»

Engineering education plays a key role in modern conditions of development of science and technology. It is necessary to implement a new technological breakthrough in the field of fundamental problems of engineering sciences, which in turn can be provided by preparation of highly qualified specialists in the field of engineering, capable to work out in professional sphere in the conditions of the development of new technologies and computerization; the development of new learning technologies based on fundamental basic knowledge and innovative approaches. The study, described and implemented by the authors, is development of new principles and methods of preparation of qualified engineers, with profound understanding of mathematics and its application opportunities in the engineering sciences: engineering, architecture and construction.

This article is devoted to the actual problem of improving the efficiency of the educational process at the University with the help of information technology. In the center of attention – features of application of the package of the applied programs allowing to optimize educational process at preparation of the expert. The use of freely distributed software that contributes to the formation of probabilistic and statistical culture of the student is illustrated. It is emphasized that information technologies in teaching stochastics will be useful only when they are closely intertwined with traditional learning technologies.

The paper outlines the conditions for improving the training of specialists by means of computer technologies in teaching stochastics. The need for students to independently master unfamiliar software products using information from the Internet is emphasized. The use of freely distributed Past software for single-sample and two-sample t-criteria is illustrated for the statistical database presented in the metric scale.

In the Russian Federation, various textbooks containing samples of standard examination options are published annually to prepare graduates of general educational institutions for the Unified State Exami-nation in mathematics (profile level). In our opinion, the most «approximate» to the real tasks offered at the USE in mathematics are the manuals published with the scientific and methodological support of the Federal Institute of Pedagogical Measurements (FIPI), edited by I.V. Yashchenko. In almost all standard versions of examination tasks offered in manuals edited by I.V. Yashchenko, among the tasks that require their detailed solution (i.e., tasks from part 2), there are tasks of an applied nature (in the versions of recent years, this is task number 15). Since graduates of general education schools do not have sufficient practical life experience (they have not yet been involved in obtaining loans from banks or running a serious business, etc.), the conditions of many applied tasks proposed in the above manuals cause many students difficulties when comprehending them, and even more so, when constructing an algorithm for solving them. In this regard, this article proposes simple methods for solving problems of an applied nature from the Unified State Examination in mathematics, based on the visualization of the formulations of the problems under consideration.

The article illustrates, using specific examples, various ways of constructing mathematical models and algorithms for solving problems of an applied nature from standard variants of the Unified State Exam in mathematics (profile level), presented in manuals edited by I.V. Yaschenko, popular among teachers and graduates of general education institutions. According to the authors of the article, familiarization of gradu-ates of secondary schools in the process of preparing for the Unified State Exam in mathematics with vari-ous ways of constructing mathematical models and algorithms for solving problems of an applied nature will contribute to a significant improvement in the quality of their training, and each of the graduates in their practical activities will have the opportunity to choose from various ways to solve this group of problems the most convenient and a way that is understandable to him.