Formation of Research Activity of Future Mathematics Teachers through Problem-Solving
5 8
Keywords:
higher education institution, future mathematics teacher, research activity, research problem, differential and integral calculus, theaching method, teaching tool.Abstract
One of the main tasks of the modern education system is to train teachers who are creative, capable of critical thinking, and equipped with research skills. In this context, the issue of forming research activity becomes especially relevant. This article identifies teaching methods and tools necessary for developing the research activity of future mathematics teachers and proposes a methodology for solving research-based problems in the process of teaching differential and integral calculus, illustrated with specific examples. The aim of the study is to determine the methodological foundations for forming the research activity of future mathematics teachers through problem-solving. The objectives of the study are to explore methodological aspects of developing research activity among future mathematics teachers in pedagogical universities and to develop content-based and methodological recommendations for the use of research problems in teaching differential and integral calculus. The effectiveness of the methodological recommendations proposed in the study was experimentally confirmed during the training of future mathematics teachers at the South Kazakhstan Pedagogical University named after U. Zhanibekov and the South Kazakhstan University named after M. Auezov. The scientific significance of the study lies in its contribution to the development of research activity among future mathematics teachers in the process of learning mathematical disciplines at the university level, as well as in enhancing their methodological readiness for future professional activities.
References
«Мектепке дейінгі тәрбие мен оқытудың, бастауыш, негізгі орта, жалпы орта, техникалық және кәсіптік, орта білімнен кейінгі білім берудің мемлекеттік жалпыға міндетті стандарттарын бекіту туралы» Қазақстан Республикасы Оқу-ағарту министрінің 2022 жылғы 3 тамыздағы №348 бұйрығы (ҚР Оқу-ағарту министрінің 23.09.2022 ж. №406 бұйрығымен өзгерістер енгізілген). [Электронды ресурс]. URL: https://adilet.zan.kz/kaz/docs/V2200029031 (қаралған күні 12.02.2025)
Abylkassymova A.E. On Mathematical-Methodical Training Of Future Mathematics Teacher In The Conditions Of Content Updating Of School Education // Modern Journal of Language Teaching Methods (MJLTM). – 2018. – Vol. 8, Issue 3. – P. 411–414.
Semenov A.I., Abylkassymova A.E. Training the Future Mathematics Teacher: The Key to Change // Lomonosov Pedagogical Education Journal. – 2024. – №2. – P. 9–28.
Демченкова Н.А. Проблемно-поисковые задачи как средство формирования исследовательских умений будущего учителя в курсе методики преподавания математики в педвузе: дис. ... канд. пед. наук. – Тольятти, 2000. – 203 с.
Муратбекова М.А. Студенттердің ізденіс-зерттеушілік іс-әрекеттерін «Дербес туындылы дифференциалдық теңдеулер» курсын оқыту процесінде қалыптастыру әдістемесі: Философия докторы (PhD) ... дис. – Түркістан, 2018. – 197 б.
Омарова И.М. Болашақ математика мұғалімдерінің шектер теориясын оқып-үйрену үдерісінде жобалау-зерттеу іс-әрекеттерін жетілдіру. Философия докторы (PhD) ... дис. – Шымкент, 2020. – 84 с.
Калимбетов Б.Т., Омарова И.М., Ибрагимов Р., Ташпынар М. Студенттердің шектер теориясын меңгерудегі жобалау-зерттеу іс-әрекеттерінің педагогикалық шарттары // Ясауи университетінің хабаршысы. – 2019. – №3 (113). – Б. 114–123.
Алтынбеков Ш.Е., Аширбаев Н.К., Бекболат М. Математикадан олимпиадалық тапсырмаларды шешуде оқушылардың зерттеушілік дағдысын қалыптастыру // Ясауи университетінің хабаршысы. – 2022. – №2 (124). – Б. 221–232. https://doi.org/10.47526/2022-2/2664-0686.18
Лернер И.Я. Дидактические основы методов обучения. – М: Педагогика, 1981. –185 с.
Оконь В. Основы проблемного обучения. – М.: Просвещение, 1968. – 208 с.
Ларькина Е.В. Методика формирования элементов исследовательской деятельности учащихся основной школы на уроках геометрии: автореф. ... канд. пед. наук. – М., 1996. – 16 с.
Оскорбин Д.Н. Организация исследовательской деятельности школьников на уроках математики в классах математического профиля // Современные проблемы методики преподавания математики и информатики: материалы II Сибирских чтений. – Омск: ОмГПУ, 1997. – С. 86–88.
Karataev A., Ibragimov R., Kalimbetov B., Kerimbekov T. Methods for Measuring the Formation of Design and Research Activity of Students // Academic Journal of Interdisciplinary Studies. – 2022. – Vol.11, №6. – P. 92–102.
Altynbekov S., Ashirbayev N., Torebek Y., Kerimbekov T. Formation of Research Skills of Future Teachers of Mathematics in Solving Olympiad Problems // Academic Journal of Interdisciplinary Studies. – 2023. – Vol. 6 (12). – P. 335–345.
Грабарь М.И., Краснянская К.А. Применение математической статистики в педагогических исследованиях. Непараметрические методы. – М.: Педагогика, 1977. – 136 c.
REFERENCES
«Mektepke deіngі tarbie men oqytudyn, bastauysh, negіzgі orta, zhalpy orta, tehnikalyq zhane kasіptіk, orta bіlіmnen keіngі bіlіm berudіn memlekettіk zhalpyga mіndettі standarttaryn bekіtu turaly» Qazaqstan Respublikasy Oqu-agartu ministrіnің 2022 zhylgy 3 tamyzdagy №348 buirygy (QR Oqu-agartu ministrіnіn 23.09.2022 zh. №406 buirygymen ozgerіster engіzіlgen). [Electronic resource]. URL: https://adilet.zan.kz/kaz/docs/V2200029031 (date of access 12.02.2025) [in Kazakh] 2. Abylkassymova A.E. On Mathematical-Methodical Training Of Future Mathematics Teacher In The Conditions Of Content Updating Of School Education // Modern Journal of Language Teaching Methods (MJLTM). – 2018. – Vol. 8, Issue 3. – P. 411–414.
Semenov A.I., Abylkassymova A.E. Training the Future Mathematics Teacher: The Key to Change // Lomonosov Pedagogical Education Journal. – 2024. – №2. – P. 9–28. 4. Demchenkova N.A. Problemno-poiskovye zadachi kak sredstvo formirovania issledovatelskih umeniy budushego uchitelia v kurse metodiki prepodavania matematiki v pedvuze: dis. ... kand. ped. Nauk [Problem-based search tasks as a means of forming the research skills of a future teacher in the course of mathematics teaching methods at a pedagogical university: dis.]. – Toliatti, 2000. – 203 s. [in Russian] 5. Muratbekova M.A. Studentterdіn іzdenіs-zertteushіlіk іs-areketterіn «Derbes tuyndyly differencialdyq tendeuler» kursyn oqytu procesіnde qalyptastyru adіstemesі: Filosofia doktory (PhD) ... dis. [Methodology for the formation of search and research activities of students in the process of teaching the course “Differential equations of independent origin”: dis.]. – Turkіstan, 2018. – 197 b. [in Kazakh] 6. Omarova I.M. Bolashaq matematika mugalіmderіnіn shekter teoriasyn oqyp-uirenu uderіsіnde zhobalau-zertteu іs-areketterіn zhetіldіru. Filosofia doktory (PhD) ... dis. [Improving the design and research activities of future mathematics teachers in the process of studying the theory of limits: dis.]. – Shymkent, 2020. – 84 s. [in Kazakh] 7. Kalimbetov B.T., Omarova I.M., Ibragimov R., Tashpynar M. Studentterdіn shekter teoriasyn mengerudegі zhobalau-zertteu іs-areketterіnіn pedagogikalyq sharttary [Pedagogical conditions for design and research activities of students in mastering the theory of limits] // Iasaui universitetіnіn habarshysy. – 2019. – №3 (113). – B. 114–123. [in Kazakh] 8. Altynbekov Sh.E., Ashirbaev N.K., Bekbolat M. Matematikadan olimpiadalyq tapsyrmalardy sheshude oqushylardyn zertteushіlіk dagdysyn qalyptastyru [Formation of students' research skills in solving Olympiad tasks in mathematics] // Iasaui universitetіnіn habarshysy. – 2022. – №2 (124). – B. 221–232. https://doi.org/10.47526/2022-2/2664-0686.18 [in Kazakh] 9. Lerner I.Ia. Didakticheskie osnovy metodov obuchenia [Didactic foundations of teaching methods]. – M: Pedagogika, 1981. –185 s. [in Russian] 10. Okon V. Osnovy problemnogo obuchenia [Fundamentals of problem-based learning]. – M.: Prosveshenie, 1968. – 208 s. [in Russian] 11. Larkina E.V. Metodika formirovania elementov issledovatelskoi deiatelnosti uchashihsia osnovnoi shkoly na urokah geometrii: avtoref. ... kand. ped. nauk. [The methodology of forming the elements of research activities of primary school students in geometry lessons: abstract]. – M., 1996. – 16 s. [in Russian] 12. Oskorbin D.N. Organizacia issledovatelskoi deiatelnosti shkolnikov na urokah matematiki v klassah matematicheskogo profilia [Organization of students' research activities in mathematics lessons in math classes] // Sovremennye problemy metodiki prepodavania matematiki i informatiki: materialy II Sibirskih chteniy. – Omsk: OmGPU, 1997. – S. 86–88. [in Russian] 13. Karataev A., Ibragimov R., Kalimbetov B., Kerimbekov T. Methods for Measuring the Formation of Design and Research Activity of Students // Academic Journal of Interdisciplinary Studies. – 2022. – Vol.11, №6. – P. 92–102. 14. Altynbekov S., Ashirbayev N., Torebek Y., Kerimbekov T. Formation of Research Skills of Future Teachers of Mathematics in Solving Olympiad Problems // Academic Journal of Interdisciplinary Studies. – 2023. – Vol. 6 (12). – P. 335–345. 15. Grabar M.I., Krasnianskaia K.A. Primenenie matematicheskoi statistiki v pedagogicheskih issledovaniah. Neparametricheskie metody [Application of mathematical statistics in pedagogical research. Nonparametric methods]. – M.: Pedagogika, 1977. – 136 c. [in Russian]
