METHODOLOGICAL FEATURES OF TEACHING HIGHER MATHEMATICS TO STUDENTS OF NON-MATHEMATICAL SPECIALTIES IN CRISIS CONDITIONS (GENERALIZATION OF WORK EXPERIENCE IN MARTIAL LAW CONDITIONS)
DOI:
https://doi.org/10.31110/2616-650X-vol12i3-010Keywords:
mathematical preparation, higher education, educational technologies, crisis conditionsAbstract
The article deals with the problem of mathematical training of students of non-mathematical specialties in crisis conditions. In the course of preparing the article, the following research methods were used: comparative analysis of theoretical provisions revealed in scientific and educational literature; monitoring the mathematical training of future specialists in non-mathematical specialties; conversations with students; generalization of the pedagogical experience of teaching a higher mathematics course to students of non-mathematical specialties under martial law. Based on the analysis of theoretical sources and the practice of teaching higher mathematics, the conclusion that the quality of mathematical training of future specialists in various areas of training has decreased has been confirmed. The peculiarities of the organization of the educational process in crisis conditions are determined. Methodological recommendations for teaching higher mathematics to students of non-mathematical specialties under martial law have been developed. The conclusion about the expediency and effectiveness of the use of the educational technology of the "inverted classroom" (in form) and programmed learning (in content) in the process of teaching higher mathematics students in the crisis conditions of social life is substantiated. Methodological recommendations are offered for using the principles of programmed learning (systematic selection of educational material, placing it in a clear logical sequence; elimination of non-essentials, dividing the material into certain parts; precise/specific instructions for performing the tasks necessary to master each portion of the material, etc.) when structuring the educational material from the course of higher mathematics. The effectiveness of the use of elements of the "inverted class" technology (according to the scheme: practical lesson - lecture - practical lesson) in the process of organizing the teaching of higher mathematics at a distance (or mixed) form in the conditions of martial law is substantiated.
References
Al Mamun M.A., Azad M.A.K., Al Mamun M.A., Boyle M. Review of flipped learning in engineering education: Scientific mapping and research horizon. Educ Inf Technol. 2022. Vol. 27. Р. 1261–1286. https://doi.org/10.1007/s10639-021-10630-z.
EDUCAUSE: Flipped Classroom. URL: https://library.educause.edu/topics/teaching-and-learning/flipped-classroom.
Fernández-Martín F.-D., Romero-Rodríguez J.-M., Gómez-García G., Navas-Parejo M.R. Impact of the Flipped Classroom Method in the Mathematical Area: A Systematic Review. Mathematics. 2020. Vol. 8, Iss. 12. 2162. https://doi.org/10.3390/math8122162.
Fornons V., Palau R., Santiago R. Secondary school students’ perception according to their learning style of a mathematics Flipped Classroom. Journal of Technology and Science Education. 2021. Vol. 11, № 2. Р. 227-244. https://doi.org/10.3926/jotse.1092.
Fung C.-H., Besser M., Poon K.-K. Systematic Literature Review of Flipped Classroom in Mathematics. Eurasia Journal of Mathematics, Science and Technology Education. 2021. Vol. 17, Iss. 6. em1974. https://doi.org/10.29333/ejmste/10900.
Hartikainen S., Rintala H., Pylväs L., Nokelainen P. The concept of active learning and the measurement of learning outcomes: A review of research in engineering higher education. Education Sciences. 2019. Vol. 9, Iss. 4. 276. https://doi.org/10.3390/educsci9040276
Kotsopoulos D., Weatherby C., Woolford D.G. Using guided notes to support learning in first-year calculus. International Journal of Mathematical Education in Science and Technology. 2021. Vol. 53, Iss. 6. P. 1629-1644. https://doi.org/10.1080/0020739X.2021.1910742
Lo C.K., Hew K.F. A comparison of flipped learning with gamification, traditional learning, and online independent study: the effects on students’ mathematics achievement and cognitive engagement. Interactive Learning Environments. 2020. Vol. 28, Iss. 4. P. 464-481. https://doi.org/10.1080/10494820.2018.1541910.
Lo C.K., Hew K.F., Chen G. Toward a set of design principles for mathematics flipped classrooms: A synthesis of research in mathematics education. Educational Research Review. 2017. Vol. 22. P. 50-73. https://doi.org/10.1016/j.edurev.2017.08.002.
Pereira L., Gomes S. The Impact of Distance Learning on the Teaching-Learning Process of Mathematics in Higher Technical Education. Journal of Educators Online. 2022. Vol. 19, Iss. 2. https://doi.org/10.9743/JEO.2022.19.2.8
Petrillo J. On flipping first-semester calculus: A case study. International Journal of Mathematical Education in Science and Technology. 2016. Vol. 47, Iss. 4, P. 573-582. https://doi.org/10.1080/0020739X.2015.1106014
Pressey S.L. A simple apparatus which gives tests and scores and teaches. School and Society. 1926. Vol. 23. P. 373-376.
Pressey S.L. A machine for automatic teaching of drill material. School and Society. 1927. Vol. 25. P. 549-552.
Sen E.O. Thematic Analysis of Articles on Flipped Learning in Mathematics Education. Turkish Online Journal of Distance Education-TOJDE. 2022. Vol. 23, № 2. Article 13. P. 202-222. https://doi.org/10.17718/tojde.1096444.
Skinner B.F. The science of learning and art of teaching. Harvard Education Review. 1954. Vol. 24. P. 86-97.
Skinner B.F. Verbal Behavior. New York: Appleton century crofts, 1957.
Stanberry M.L., Payne W.R. Teaching Undergraduate Calculus at an Urban HBCU through a Global Pandemic. International Journal of Education in Mathematics, Science and Technology. 2023. Vol. 11, № 2. P. 340-357. https://doi.org/10.46328/ijemst.2557.
Weurlander M., Cronhjort M., Filipsson L. Engineering students’ experiences of interactive teaching in calculus. Higher Education Research and Development. 2016. Vol. 36, Iss. 4. P. 852-865. https://doi.org/10.1080/07294360.2016.1238880.
Елькін Д.Х. Про психологічні передумови програмованого навчання. Радянська школа. 1965. № 12. С. 22-26.
Костюк Г.С. Про психологічні основи програмування навчання. Радянська школа. 1964. № 5. С. 54-62.
Крутько О. Часопис «Радянська школа» про програмоване навчання в Україні в 60-ті роки ХХ ст. Історико-педагогічний альманах. 2010. № 1. С. 15-19.
Ланда Л.Н. Діагностика і програмоване навчання. Радянська школа. 1967. № 2. С. 45-51.
Про оголошення 2020/2021 навчального року Роком математичної освіти в Україні: Указ Президента № 31/2020 (2020, 30 січня). Урядовий кур'єр. 2020. №20. URL: https://www.president.gov.ua/documents/312020-32165.
Розуменко А.О., Розуменко А.М. Повторюємо та систематизуємо шкільний курс математики: Навчальний посібник для учнів старших класів середніх загальноосвітніх шкіл, абітурієнтів та студентів перших курсів вищих навчальних закладів. Суми: СумДПУ ім. А. С. Макаренко, 2014. 176 с.
Розуменко А.О., Розуменко А.М., Удовиченко О.М. Використання елементів програмованого навчання в процесі підготовки учнів випускних класів до державної підсумкової атестації з математики в умовах військового стану. Освіта. Інноватика. Практика. 2022. Том 10. № 6. С. 38-44. https://doi.org/10.31110/2616-650X-vol10i6-005.
Фіцула М.М. Педагогіка, Київ: Академвидав, 2009. 560 с.
Янченко Т.В. Програмоване навчання як результат еволюції ідей педології та біхевіоризму. Молодий вчений. 2016. №12(39). С. 550-553.
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