Features for teaching limit theory to high school students

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Authors

  • S. A. Ismailova Khoja Akhmet Yassawi Kazakh-Turkish International University
  • G. J. Nazarova Khoja Akhmet Yassawi Kazakh-Turkish International University

Keywords:

theory of limits, value of limits, method of definition, limit of function, teaching method, properties, Cauchy, remarkable limits, value at a point, uncertainly, disclosure of uncertainties, magnitude.

Abstract

This article is devoted to a deeper study and analysis of the theory of limits and is devoted to all aspects that allow you to apply theoretical knowledge in practice, to gain comprehensive knowledge when studying the theory of limits of higher mathematics. In this paper, the authors’ works related to the topic of restrictions are considered. The article discusses current topics related to the theory of limits and various methods of solving mathematical problems. The curriculum on the subject of algebra initiatives of analysis of the natural-matematical direction is provided and the analysis of textbooks is carried out, the advantages of textbooks are shown. In the course of research work, control, questionarre, pedagogical methods were used, a pedagogical analysis of the literature related to the research topic was carried out. In addition, it was proposed to present information in the form of an effective form of presentation – presentation, in our case, in the form of a scheme aimed at ensuring that students memorize formulas longer and can intelligently use formulas when solving problems. Discussing the results of the survey, it was found that students interested in solving problematic problems, ready to work with additional literature, are able to complete tasks. The results of the scientific research can be used as an auxiliary tool for mathematics specialists who teach algebra and analysis courses according to the school curriculum.

References

Искакова У.А. Некоторые вопросы к методике преподавания теории пределов. Қостанай: «Мемлекеттік Педагогикалық Университеті», 2012.-151-153с.

Мышкис А.Д. Нужно ли изучать в школе высшую математику // 2004, 24с.

Вайнштейн И.И., Манушкина М.М. К методике преподавания темы «Предел функции» // Сибирский педагогический журнал, 2011, №5 изд. 64-69с.

Мордкович А.Г. О некоторых проблемах школьного математического образования / Актуальные проблемы качества математической подготовки школьников и студентов: методологический, теоретический и технологический аспекты: материалы I Всероссийской научно практической конференции. Красноярск, 14–15 ноября 2013 г. / отв.ред. Л.В. Шкерина; ред. кол.; Краснояр. гос. пед. университет им. В.П. Астафьева. Красноярск, 2013

Матыцина Т.Н., Гладкова Е.А. // Об одном аспекте преподавания теории пределов Костромский гос. университет им. Н. А. Некрасова, г. Костром 2015.

Гладкий А. В. О преподавании алгебры и начал анализа в школе, // Матем. обр., 2009, №3 выпуск, 7-16с.

Станиславовна А. А., Владимировна Л. М. //Об изучении предела в школьном курсе математики. Московский технологический институт, Государственное бюджетное образовательное учреждение Школа №72 // 2017, 25-30с.

Козлова В. В., Кондакова А. М. Фундаментальное ядро содержания общего образования // 2011, 37-39с.

Расчетно-графические задания по дисциплине "Математические методы и модели исследования операций". – Уфа, 2008.

Kalimbetov B., Kalmatayeva B., Ibragimov R., Omarova I., Training and research studies of future bachelor’s mathematicians during the study limits // Opcion. – 2019. – Año. 35, № 88. З. – С. 346 – 363. ISSN 1012 – 1587 / ISSNe: 2477 – 9385.

Калимбетов Б.Т., Омарова И.М.Formation of project – and research skills of student in calculation of limits // Third Intern. Conf. on Analysis and Appl. Math. – Almaty, 2016. – p. 192.

İskakova U.A. Nekotorye voprosy k metodike prepodavania teorii predelov [ Some questions to the methodology of teaching the theory of limits]. Qostanai: «Memlekettık Pedagogikalyq Universitetı», 2012.-151-153s. [in Russian]

Myşkis A.D. Nujno li izuchät v şkole vysşuiu matematiku [Do need to study higher mathematics at school] // 2004, 24s. [in Russian]

Vainştein İ.İ., Manuşkina M.M. K metodike prepodavania temy «Predel funksii» // Sibirski pedagogicheski jurnal [To the methodology of teaching the topic "Limit of function"] // Siberian Pedagogical Journal, 2011, №5 part. P 64-69. [in Russian]

Mordkovich A.G. O nekotoryh problemah şkölnogo matematicheskogo obrazovania / Aktuälnye problemy kachestva matematicheskoi podgotovki şkölnikov i studentov: metodologicheski, teoreticheski i tehnologicheski aspekty: materialy I Vserossiskoi nauchno prakticheskoi konferensii.[ About some problems of school mathematical education / Actual problems of the quality of mathematical training of schoolchildren and students: methodological, theoretical and technological aspects: materials of the I All-Russian Scientific and Practical Conference] Krasnoiarsk, 14–15 noiabrä 2013 g. / otv.red. L.V. Şkerina; red. kol.; Krasnoiar. gos. ped. universitet im. V.P. Astäfeva. Krasnoiarsk, 2013[in Russian]

Matysina T.N., Gladkova E.A. // Ob odnom aspekte prepodavania teorii predelov [About one aspect of teaching the theory of limits] Kostromski gos. universitet im. N. A. Nekrasova, g. Kostrom 2015. [in Russian]

Gladki A. V. O prepodavanii algebry i nachal analiza v şkole [About teaching algebra and the principles of analysis at school] // Matem. obr., 2009, №3 vypusk, 7-16s. [in Russian]

Stanislavovna A. A., Vladimirovna L. M. //Ob izuchenii predela v şkölnom kurse matematiki. [About studying the limit in the school mathematics course] Moskovski tehnologicheski institut, Gosudarstvennoe büdjetnoe obrazovatelnoe uchrejdenie Şkola №72 // 2017, 25-30s. [in Russian]

Kozlova V. V., Kondakova A. M. Fundamentälnoe iadro soderjania obşego obrazovania [The fundamental core of the content of general education] // 2011, 37-39s. [in Russian]

Raschetno-graficheskie zadania po disipline "Matematicheskie metody i modeli issledovania operasi"[ Computational and graphical tasks in the discipline "Mathematical methods and models of operations research"] – Ufa, 2008. [in Russian]

Kalimbetov B., Kalmatayeva B., Ibragimov R., Omarova I., Training and research studies of future bachelor’s mathematicians during the study limits // Opcion. – 2019. – Año. 35, № 88. Z. – S. 346 – 363. ISSN 1012 – 1587 / ISSNe: 2477 – 9385.

Kalimbetov B.T., Omarova İ.M.Formation of project – and research skills of student in calculation of limits // Third Intern. Conf. on Analysis and Appl. Math. – Almaty, 2016. – p. 192

Published

2023-09-30