Teaching Bachelors of Mathematics with Graphical Representation of Functions in the Context of Digitalization of Education
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Anahtar Kelimeler:
digitalization of education, mathematical formula, graphical representation, function graph, KMS Maple.Özet
The article discusses the teaching of mathematics bachelors to functions in the form of a graphical representation in the conditions of digitalization of education. The theoretical significance of the formation and development of graphic culture is shown, the possibility of depicting the necessary information through its graph by constructing a mathematical model of the process defined by a mathematical formula. In addition, methods of application of modern information and communication technologies have been developed. The efficiency of using Maple mathematical packages in teaching university students to display functions in the form of a graphic image in the conditions of digitalization of mathematical education is determined. It is shown that the activity of studying the graph of a function using a computer mathematics system plays an important role in the formation of opportunities for the manifestation of students' creative abilities, the development of knowledge and research abilities, active independent work, work planning. Classes based on the use of digital technologies are characterized by adaptability, manageability, interactivity, a combination of individual and group work, as well as temporary unlimited learning. In addition, digital technologies provide a number of new opportunities for both teachers and students, which allows you to automate most of the academic work, save time, quickly find the necessary information, socialize, improve yourself, freeing up time for individual work with students.
Referanslar
Майер В.Р., Абдулкин В.В., Апакина Т.В. Двенадцать лекций по дифференциальной геометрии: Учебное пособие. – Красноярск: Краснояр. гос. пед. ун-т им. В.П. Астафьева, 2014. – 516 с.
Николенко Д.В., Болычева Я.К. Дистанционные образовательные технологии как средство повышения эффективности учебного процесса в СПО при изучении физико-математических дисциплин // Сборник статей Межд. научно-прак. конф. «Новая наука: история станов., совр. сост., персп. развития». – Уфа: Омега сайнс, 2020. – С. 5–7.
Блинов В.И., Дулинов М.В., Есенина Е.Ю., Сергеев И.С. Проект дидактической концепции цифрового профессионального образования и обучения. – Москва: Перо, 2019. – 72 с.
Сотникова О.А., Хабаева Е.В. Организация содержательного обобщения при изучении дифференциальных уравнений в техническом вузе // Материалы XXXVIII Межд. науч. сем. преп. матем. «Математическое образование в цифровом обществе». – Самара, 2019. – С. 268-271.
Говорухин В.Н., Цибулин В.Г. Введение в Maple V. Математический пакет для всех. – М.: Мир, 1997. – 213 с.
Котюргина А.С. О применении пакетов прикладных программ в преподавании общего курса математики // Актуальные проблемы преподавания математики в техническом вузе. – 2015. – №3. – С. 76–82.
Дьяконов В.П. Maple 7: учебный курс. – СПб: Питер, 2002. – 672 с.
Калимбетов Б.Т., Омарова И.М. Проблемные ситуации на основе графиков функций при обучении математическому анализу // Вестник ПГУ им. С. Торайгырова, сер. Педагогика. – 2018. – №3. – С. 222–230.
Калимбетов Б.Т., Кулачова Г.Р. Maple компьютерлік математика жүйесін қолдана отырып сандық тізбектердің шегін оқытуды жетілдіру // Ясауи университетінің хабаршысы. – 2021. – №4 (122). – Б. 57–72.
REFERENCES
Maier V.R., Abdulkin V.V., Apakina T.V. Dvenadcat lekciy po differencialnoi geometrii: Uchebnoe posobie [Twelve lectures on differential geometry: Textbook]. – Krasnoiarsk: Krasnoiar. gos. ped. un-t im. V.P. Astafieva, 2014. – 516 s. [in Russian]
Nikolenko D.V., Bolycheva Ia.K. Distancionnye obrazovatelnye tehnologii kak sredstvo povysheniia effektivnosti uchebnogo processa v SPO pri izuchenii fiziko-matematicheskih disciplin [Distance educational technologies as a means of improving the efficiency of the educational process in vocational education in the study of physical and mathematical disciplines] // Sbornik statey Mejd. nauchno-prak. konf. «Novaia nauka: istoriia stanov., sovr. sost., persp. razvitiia». – Ufa: Omega sains, 2020. – S. 5–7. [in Russian]
Blinov V.I., Dulinov M.V., Esenina E.Iu., Sergeev I.S. Proekt didakticheskoi koncepcii cifrovogo professionalnogo obrazovaniia i obucheniia [Draft didactic concept of digital vocational education and training]. – Moskva: Pero, 2019. – 72 s.
Sotnikova O.A., Habaeva E.V. Organizaciia soderjatelnogo obobsheniia pri izuchenii differencialnyh uravneniy v tehnicheskom vuze [Organization of meaningful generalization in the study of differential equations in a technical university] // Materialy XXXVIII Mejd. nauch. sem. prep. matem. «Matematicheskoe obrazovanie v cifrovom obshestve». – Samara, 2019. – S. 268–271. [in Russian]
Govoruhin V.N., Cibulin V.G. Vvedenie v Maple V. Matematicheskiy paket dlia vseh [Introduction to Maple V. Mathematical package for everyone]. – M.: Mir, 1997. – 213 s. [in Russian]
Kotiurgina A.S. O primenenii paketov prikladnyh programm v prepodavanii obshego kursa matematiki [On the use of application software packages in teaching a general course of mathematics] // Aktualnye problemy prepodavaniia matematiki v tehnicheskom vuze. – 2015. – №3. – S. 76–82. [in Russian]
Diakonov V.P. Maple 7: uchebnyi kurs [Maple 7: training course]. – SPb: Piter, 2002. – 672 s. [in Russian]
Kalimbetov B.T., Omarova I.M. Problemnye situacii na osnove grafikov funkcij pri obuchenii matematicheskomu analizu [Problem situations based on function graphs in teaching calculus] // Vestnik PGU im. S. Toraigyrova, ser. Pedagogika. – 2018. – №3. – S. 222–230. [in Russian]
Kalimbetov B.T., Kulachova G.R. Maple kompiuterlіk matematika juiesіn qoldana otyryp sandyq tіzbekterdіn shegіn oqytudy jetіldіru [Improving the Learning of the Limits of Numerical Sequences through the Maple Computer Mathematics System] // Iasaui universitetіnіn habarshysy. – 2021. – №4 (122). – B. 57–72. [in Kazakh]
