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МЕТОДИЧНІ РЕКОМЕНДАЦІЇ ДО НАВЧАННЯ МАТЕМАТИЧНОМУ МОДЕЛЮВАННЮ МАЙБУТНІХ ІНЖЕНЕРІВ ПІД ЧАС АУДИТОРНИХ ЗАНЯТЬ З ТЕОРІЇ ВИПАДКОВИХ ПРОЦЕСІВ

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Чумак О.
Педагогічні науки: теорія, історія, інноваційні технології
|
2014
|
issue 5(39)
408-417
EN
The importance of formation of the mathematical modeling ability during the study of the theory of probability and stochastic processes by future engineers is substantiated. The notion of mathematical modeling when teaching the students of technical universities to the mathematical disciplines is examined. The paper reveals the difficulties met by students during the construction of models to the problems. The author notes that the universal formalization algorithm of real problems does not exist; therefore the most difficult for students are the first and the second stages of simulation when solving professionally oriented tasks. In order to solve a problem the techniques of heuristic activity are proposed to take advantage in the first stage of modeling. The study displays one of the ways of teaching students to the «art of modeling», namely the implementation of its development as the ability of students to «see different in the same and the same in differences». This article contains an example of building a model to a professionally oriented task during a lecture. It is shown how a teacher in the course of constructing a model can engage students into interactive debate. For this purpose the teacher’s notation on the blackboard should be accompanied by an appropriate dialogue with students. Methodological recommendations for the direction of educational and cognitive activities of students during the construction of models reflecting Markov random process of discrete state and continuous time are suggested. It is shown why such learning activities, which are to build and study models of stochastic process, contribute to the conscious assimilation of the topic by the students, as well as to the building of their understanding of the unity of some sections of higher mathematics, stochastic processes and connection with real engineering studies. The author emphasizes that the work with a mathematical model of a real engineering process enhances motivation to learn the discipline, so that the students actively master the skills necessary for their future careers. The issue of mathematical modeling training and research of other stochastic processes may become the subject of further survey in this area.
2

НАУКОВО-ДОСЛІДНА РОБОТА СТУДЕНТІВ ЗІ СТВОРЕННЯ ПРОЕКТІВ ВІДНОВЛЮВАНОЇ ЕНЕРГЕТИКИ

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Мар'їнських Ю., Шкіра А.
Педагогічні науки: теорія, історія, інноваційні технології
|
2015
|
issue 6(50)
240-247
EN
In the article the sequence of actions and skills of students on designing power systems that enables them to form professional competence necessary for future engineers is revealed. Social, cultural and economic development of any state largely depends on the professional competence of graduates of higher education institutions in their respective sectors. However, the level of development ultimately begins today to be determined by the energy component, which is characterized by the degree of power and ways of getting the energy products and the possible consequences of their use. The growth of energy consumption leads to the search for alternative energy sources, in particular to the recovery of energy. In the solution to the problem of energy saving and renewable energy are constantly engaged domestic and foreign experts. The problem energy producing and energy usage as a component of the educational process in universities, especially in technical areas, now dominate over others. The most attractive position with growing energy needs is renewable sources of energy by converting the full spectrum of solar radiation. The purpose of this article is to propose an algorithmic method of action and skill on engineering energy systems by the students based on renewable energy that allows them to form professional competence required for future engineers. It is concluded that in the process of research work of teachers with students they gain skills to work with materials on the results of the patent search. It is also important to carry out research work to find other ways and directions of creation of fundamentally different technologies and production of environmentally friendly energy. The following stages of scientific-cognitive activity of students are identified. First, preparation, is awareness of the problem of energy and the formation of understanding of the need to address it at least partially. The next stage is the search and mobilization: creating the conditions and means of scientific research. Then – executive-implementation, during which projects are created under the guidance of the supervisor. The final stage is an algorithm of actions on implementation of the project.
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