Improving the Learning of the Limits of Numerical Sequences through the Maple Computer Mathematics System

The article discusses organizational measures for training future specialists in mathematics using computer mathematics tools, tasks, defining approaches and positions, planning research directions, determining the expected result, evaluating results and other issues of improving activities. It is shown that the educational activity of studying the theory of limits using computer mathematics plays an important role in the formation of students' opportunities for the comprehensive manifestation of creative abilities, the development of knowledge and research abilities, active independent work, work planning, individual or collective work that must be performed to achieve a result, which must be performed to achieve a result. The corresponding themes related to the theory of limits are listed in accordance with the state general educational standards of education of the specialties “Mathematics” of the Ministry of Education and Science of the Republic of Kazakhstan, the content of conceptual curricula for the study of the theory of limits, scientific and methodological foundations of topics conducted in lectures and practical classes, problem tasks corresponding to their mastering the formation of skills at four levels. Their assimilation, corresponding to the activities of students related to the formation of four-level competencies, the goals of achieving results in practical classes and calculating the limits of numerical sequences using the Maple computer mathematics system.

Anahtar Kelimeler:

limit of numerical sequence, teaching mathematical analysis, learning outcomes, didactic goal, Maple computer mathematics system

Improving the Learning of the Limits of Numerical Sequences through the Maple Computer Mathematics System

Keywords:

limit of numerical sequence, teaching mathematical analysis, learning outcomes, didactic goal, Maple computer mathematics system,

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1. Kalimbetov B.T., Omarova I.M. Matematikalyq taldaudy uirenude studentterdіn zhobalau-zertteu іs-areketterі [Design and research activities of students in the study of mathematical analysis] // Abay atyndagy QazUPU Habarshysy. – 2014. – №4 (44). – B. 8–12. [in Kazakh]
2. Kalimbetov B.T., Ibragimov R., Tashpynar M., Omarova I.M. Studentterdіn shekter teoriyasyn mengerudegі zhobalau-zertteu іs-areketterіnіn pedagogikalyq sharttary [Pedagogical conditions of design and research activities of students in mastering the theory of limits] // Yasaui universitetіnіn habarshysy. – 2019. – №3(113). – B. 114–123. [in Kazakh]
3. Kalimbetov B.T., Omarova I.M. Formirovanie proektnyh i issledovatel'skih umenii studentov pri obuchenie matematicheskomu analizu [Formation of students' design and research skills in teaching mathematical analysis] // Vestnik ZKGU im. M. Utemisova. – 2017. – №3(67). – C. 52–62. [in Russian]
4. Kalimbetov B.T., Omarova I.M. Proektno-issledovatel'skaya deyatel'nost' studentov matematicheskih special'nostei pri izuchenii prilozhenij predelov [Design and research activity of students of mathematical specialties in the study of applications of limits] // Vestnik PGU im. S. Torajgyrova. Ser. Pedagogika. – 2016. – №3. – S. 230–237. [in Russian]
5. Kalimbetov B.T., Omarova I.M. Formation of project-and research skills of student in calculation of limits // Third Intern. Conf. on Analysis and Appl. Math. – Almaty, 2016. – 192 p. [in English]
6. Kalimbetov B.T., Omarova I.M. Pedagogical conditions for project - research activity of students during the study theory of limits // Bulletin of Abay KazNPU. Ser. Pedagogy. – 2017. – №3 (55). – P. 75–81. [in English]
7. Kalimbetov B., Kalmatayeva B., Ibragimov R., Omarova I. Training and research studies of future bachelor’s mathematicians during the study limits // Opcion, Año 35, No. 88 (2019): 346-363 ISSN 1012-1587 / ISSNe: 2477-9385. [in English]
8. Kalimbetov B.T., Omarova I.M. Teoriya predelov i asimptoticheskie razlozheniya: Uchebnoe posobie. [Theory of limits and asymptotic expansions]. – Shymkent: Alem, 2017. – 107 s. [in Russian]
9. Kalimbetov B.T., Omarova I.M. Problemnye situacii na osnove grafikov funkciy pri obuchenii matematicheskomu analizu [Problem situations based on graphs of functions in teaching mathematical analysis] // Vestnik PGU im. S. Toraigyrova. Ser. Pedagogika. – 2018. – №3. – S. 222–230. [in Russian]
10. Kalimbetov B.T., Omarova I.M. Differencialdyq esepteulerdіn qoldanysyn uirenude studentterdyn zhobalau-zertteu quzіrettelіgіn damytu [Development of students' design and research competence in studying the use of differential calculus] // Yasaui universitetіnіn habarshysy. – 2017. – №3. – B. 3–13. [in Kazakh]
11. Kalimbetov B.T., Omarova I.M. Ispol'zovanie SKM Maple pri obuchenii studentov predelam funkcii [Using the Maple SCM when teaching students the limits of the function] // Mater. Mezhd. konf. «Problemy sovr. nepreryv. obrazovaniya: Innovacii i perspektivy». – Tashkent, 2018. Ch. I. – S. 325–326. [in Russian]