Розв’язання професійно-прикладних задач у формуванні математичної компетентності майбутніх фахівців технічного профілю
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Дата
2019
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Видавець
СумДПУ імені А. С. Макаренка
Анотація
У статті представлено обґрунтування необхідності впровадження в процес навчання професійно-прикладних задач як одного з найбільш дієвих шляхів реалізації практичної (фахової) спрямованості класичної математичної підготовки в частині формування найважливішої операційно-технологічної складової математичної компетентності майбутніх фахівців технічного профіля. Наведено попарний розгляд класичних типових задач та професійно-орієнтованих задач, що мають в основі один і той самий теоретичний матеріал із вступу до розділу «Випадкові процеси». Проаналізовані задачі та запропоновані для розгляду завдання є запозиченими зі створеного авторами банку задач, зміст яких відповідає фрагментам реальних технічних проблем.
Modern requirements for the quality of training of specialists of the higher educational establishments determine the search for innovative methods and techniques for the formation and development of their professional competence. The most important component of professional competence of future technical specialists is their mathematical competence. The authors understand the mathematical competence as the readiness to use a set of acquired mathematical knowledge, skills, abilities, modes of activity, creative qualities of the individual in the effective implementation of life, professional, and further educational functions. Readiness for effective implementation of future professional activity determines possession of professionally significant aspects of classical mathematical disciplines, which are the basis of the mathematical apparatus of specialized training courses. Taking into account the leading importance of probabilistic issues in the formation of the important operational and technological component of mathematical competence, the authors of the article focused on the applied aspect of presentation of materials of probability theory, mathematical statistics, theory of random processes. The analysis of the ground works allowed us to conclude that the systematic presentation of the provisions of the theory of random processes for future technical specialists is accompanied by examples of typical professionally applied problems that are generalized and do not reflect the content of specific problems the specialists face in certain fields of knowledge (“Mechanical Engineering”, “Electrical Engineering”, “Transport”, “Construction and Architecture”, etc.). The paper presents paired consideration of classic typical problems and mentioned professionally applied ones, which are based on the same theoretical material from the introduction to the section “Random processes”. The analyzed professionally applied problems, as well as the tasks proposed for consideration, are borrowed from created by the authors the bank of problems, which are the fragments of real technical ones.
Modern requirements for the quality of training of specialists of the higher educational establishments determine the search for innovative methods and techniques for the formation and development of their professional competence. The most important component of professional competence of future technical specialists is their mathematical competence. The authors understand the mathematical competence as the readiness to use a set of acquired mathematical knowledge, skills, abilities, modes of activity, creative qualities of the individual in the effective implementation of life, professional, and further educational functions. Readiness for effective implementation of future professional activity determines possession of professionally significant aspects of classical mathematical disciplines, which are the basis of the mathematical apparatus of specialized training courses. Taking into account the leading importance of probabilistic issues in the formation of the important operational and technological component of mathematical competence, the authors of the article focused on the applied aspect of presentation of materials of probability theory, mathematical statistics, theory of random processes. The analysis of the ground works allowed us to conclude that the systematic presentation of the provisions of the theory of random processes for future technical specialists is accompanied by examples of typical professionally applied problems that are generalized and do not reflect the content of specific problems the specialists face in certain fields of knowledge (“Mechanical Engineering”, “Electrical Engineering”, “Transport”, “Construction and Architecture”, etc.). The paper presents paired consideration of classic typical problems and mentioned professionally applied ones, which are based on the same theoretical material from the introduction to the section “Random processes”. The analyzed professionally applied problems, as well as the tasks proposed for consideration, are borrowed from created by the authors the bank of problems, which are the fragments of real technical ones.
Опис
Ключові слова
математична компетентність, операційно-технологічна складова математичної компетентності, вимоги до професійно-прикладних задач, mathematical competence, operational and technological component of mathematical competence, requirements for professionally applied problems
Бібліографічний опис
Розв’язання професійно-прикладних задач у формуванні математичної компетентності майбутніх фахівців технічного профілю [Текст] / Т. Ємельянова, Д. Легейда, О. Пташний, Т. Ярхо // Педагогічні науки: теорія, історія, інноваційні технології : науковий журнал / МОН України, Сумський держ. пед. ун-т ім. А. С. Макаренка ; [редкол.: А. А. Сбруєва, М. А. Бойченко, О. Є. Антонова та ін.]. – Суми : СумДПУ ім. А. С. Макаренка, 2019. – № 8 (92). – С. 218–228. – DOI: 10.24139/2312-5993/2019.08/218-228.