Formation of students' mental activity by improving the applied focus of learning a geometric

Yazarlar

  • Zh. Yerkisheva Khoja Akhmet Yassawi International Kazakh-Turkish University
  • D. Yerboluly Khoja Akhmet Yassawi International Kazakh-Turkish University

Anahtar Kelimeler:

geometric construction problems, methods of teaching geometry, methods for constructing problems, stages of problem solving.

Özet

Prerequisites for the study the problems of implementing the applied direction of teaching the topic of geometric construction in the geometry course of secondary school are most relevant, since there are no clear basic methods for the formation of students' thinking activities in this direction.

This article discusses the results of a scientific study aimed at obtaining theoretical knowledge in any section of school geometry, which aims to give the student the skills to use the means of drawing the properties of geometric shapes and relationships. For this purpose, students were given a review of the literature on the implementation of the applied direction of geometry, focusing on mathematical statements in order to improve the applied direction of geometry.

In the framework of the topic, the analysis was carried out in the course of improving this topic, due to the fact that mathematics teachers did not pay enough attention to the problems of construction in the geometry course of secondary school due to lack of time, students did not develop skills in solving problems of the applied direction of geometry.

As a result of research, geometric construction problems are an important element of the mathematical preparation of schoolchildren. Using the problems of geometric construction, its application points were determined. The ways of implementing the applied direction in teaching geometry to students are described. Also, when teaching the geometry course, problems of the applied direction were collected in the school's geometry textbooks, ways to solve them were considered, and plot geometric tasks were prepared in order to increase the creativity of students.

The stages of solving the practice-oriented geometric construction problem and the principles of implementing the applied direction of teaching mathematics, defined as a special type of plot problem, reflecting the use of geometric means in practical situations, are also studied. In the future, it can be used as a methodological tool for mathematics teachers in teaching construction problems.

Referanslar

ПАЙДАЛАНЫЛҒАН ӘДЕБИЕТТЕР ТІЗІМІ

Далингер В.А. Обучение учащихся моделированию как универсальному учебному действию при изучении математики // «CETERIS PARIBUS». – 2016. – №3. – С. 63–66.

Садвакасова Р.А. Прикладная направленность обучения математике в средней школе: компетентностный подход [Текст]: монография / Р.А. Садвакасова, Московский гос. ун-т им. М.В. Ломоносова. Экономический фак., Каф. экономики природопользования. – Москва: МАКС Пресс, 2015. – 257 с.

Егупова М.В. Практико-ориентированное обучение математике в школе:проблемы и перспективы научных исследований // Наука и школа. 2022. № 4. С. 85–95. DOI:

31862/1819-463X-2022-4-85-95.

Петерсен Ю. Методы и теории для решения геометрических задач на построение, приложенные более чем к 400 задачам. – 2-е изд. – М.: ЛЕНАНД, 2016. – 128 с.

D. Russell What is geometry? Retrieved from https://www.thoughtco.com/what-is-geometry-2312332.2018

Clemens C.H., Clemens M.A. Construction. In: Geometry for the Classroom: Springer. – New York: NY, 1991. – 67 р.

Бидайбеков Е.Ы. Геометриялық салу есептері // Оқу құралы. Абай атындағы ҚазҰПУ, 2017 ж.

Мадияров Н.К., Рахымбек Д. Геометриялық салу есептері, оқу құралы, – Aлмaты: Эверо, 2017. – 288 б.

Таджигитов А.А., Мақұм К.Н. Салу үшін тәжірибеге бағытталған геометриялық есептердің құрылымы мен мазмұны: монография. – Вестник СКГУ имени М. Козыбаева. № 4 (45). 2019. – 36 б.

Кульжумиева А.Т. Задачи на построение как средство формирования приемов мыслительной деятельности // Қазақ ұлттық қыздар педагогикалық университетінің Хабаршысы № 2 (86), 2021

Hock T.T., Tarmizi, R.A., Yunus, AS., & Ayub, A.F. Understanding the primary school students’ van Hiele levels of geometry thinking in learning shapes and spaces: A Q-methodology. – Eurasia Journal of Mathematics, Science and Technology Education, 2015.

Laaksonen A. (2020) Geometry. In: Guide to Competitive Programming. Undergraduate Topics in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-030-39357-1_13

Kumon Т. Развитие мышления. Пространственное мышление. – М.: Манн, Иванов и Фербер, 2018. – 151 c.

Тойбазаров Д.Б. Болашақ математика мұғалімдерін кәсіби даярлауда қолданбалы есептерді пайдаланудың ғылыми-әдістемелік негіздері. Философия докторы (PhD) ғылыми дәрежесін алу үшін дайындалған диссертация / Талдықорған 2020 ж.

Смирнова И.М. Геометрические задачи с практическим содержанием / И.М. Смирнова. – 2-е изд., доп. − М.: МЦНМО, 2015.

Тұяқов Е.А. Геометриялық есептерді шығаруға үйрету процесінде оқушылардың кеңістіктік ойлауын дамыту // Педагогика және психология. – №1. – Алматы: Абай атындағы ҚазҰПУ, 2017. – Б. 230–234

А. Досниязова, Б.Р. Қасқатаева. Салу есептері және олардың негізгі мектептің геометрия курсында алатын орны // «Қазіргі заманғы математика: проблемалары және қолданыстары» III халықаралық Тайманов оқулары: 2022 жылғы 25 қараша. – Қызылорда: Қорқыт Ата атындағы ҚУ Редакциялық-баспа бөлімі, 2022. – 344–350 бет.

REFERENCES

Dalinger V.A. Obucheniye uchashchikhsya modelirovaniyu kak universalnomu uchebnomu deystviyu pri izuchenii matematiki [Teaching students modeling as a universal educational action in the study of mathematics] // «CETERIS PARIBUS». – 2016. – №3. – S. 63–66. [in Russian]

Sadvakasova R.A. Prikladnaya napravlennost obucheniya matematike v sredney shkole: kompetentnostnyy podkhod [Applied orientation of teaching mathematics in secondary school: a competence-based approach]: monografiya / R.A. Sadvakasova, Moskovskiy gos. un-t im. M. V. Lomonosova. Ekonomicheskiy fak., Kaf. ekonomiki prirodopolzovaniya. – Moskva: MAKS Press, 2015. – 257 s. [in Russian]

Yegupova M.V. Praktiko-oriyentirovannoye obucheniye matematike v shkole:problemy i perspektivy nauchnykh issledovaniy [Practice-oriented teaching of mathematics at school: problems and prospects of scientific research] // Nauka i shkola. 2022. № 4. S. 85–95. DOI: 10.31862/1819-463X-2022-4-85-95.

Petersen YU. Methods and theories for solving geometric construction problems applied to more than 400 problems [Methods and theories for solving geometric construction problems applied to more than 400 problems]. – 2-ye izd. – M.:LENAND, 2016. – 128 s. [in Russian]

D. Russell What is geometry? Retrieved from https://www.thoughtco.com/what-is-geometry-2312332.2018

Clemens C.H., Clemens M.A. Construction. In: Geometry for the Classroom: Springer. – New York: NY, 1991. – 67 р.

Bidaibekov E.Y. Geometriyalyk salu esepteri [Geometric construction problems] // Oku kuraly. Abai atyndagy KazUPU, – 2017. [in Kazakh]

Madiarov N.K., Rahymbek D. Geometriyalyk salu esepteri [Geometric construction problems] // Oku kuraly, – Almaty: Evero, 2017. – 288 b. [in Kazakh]

Tajigitov A.A., Maqum K.N. Salu ushın tajıribege bagyttalgan geometrialyk esepterdın kurylymy men mazmuny [The structure and content of practice-oriented geometric problems for construction]: monografia. – Vestnik SKGU imeni M. Kozybaeva. № 4 (45). 2019. – 36 b. [in Kazakh]

Kuljumieva A.T. Zadachi na postroenie kak sredstvo formirovania priemov myslitelnoi deiatelnosti [Building tasks as a means of forming techniques of mental activity] // Qazaq ulttyk qyzdar pedagogikalyk universitetının Habarshysy № 2 (86), 2021. [in Russian]

Hock T.T., Tarmizi, R.A., Yunus, A.S., & Ayub, A.F. Understanding the primary school students’ van Hiele levels of geometry thinking in learning shapes and spaces: A Q-methodology. – Eurasia Journal of Mathematics, Science and Technology Education, 2015.

Laaksonen A. (2020) Geometry. In: Guide to Competitive Programming. Undergraduate Topics in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-030-39357-1_13

Kumon T. Razvitie myshleniya. Prostranstvennoe myshlenie [Development of thinking. Spatial thinking]. – M.: Mann, Ivanov i Ferber, 2018. [in Russian]

Toibazarov D.B. Bolashak matematika mugalımderın kasıbi daiarlauda koldanbaly esepterdı paidalanudyn gylymi-adıstemelık negızderı [Scientific and methodological foundations of the use of Applied Problems in the professional training of future mathematics teachers]. Filosofia doktory (PhD) gylymi darejesın alu ushın daiyndalgan dissertasia / Taldyqorgan 2020. [in Kazakh]

Smirnova İ.M. Geometricheskie zadachi s prakticheskim soderzhaniem [Geometric problems with practical content] / İ.M. Smirnova. – 2-e izd., dop. − M.: MSNMO, 2015. [in Russian]

Tuiakov E.A. Geometrialyk esepterdı shygaruga uiretu prosesınde okushylardyn kenıstıktık oilauyn damytu [Development of spatial thinking of students in the process of teaching them to solve geometric problems] // Pedagogika jane psihologia. – №1. – Almaty: Abai atyndagy KazUPU, 2017. – B. 230–234. [in Kazakh]

A. Dosniazova, B.R. Kasqataeva. Salu esepterı jane olardyn negızgı mekteptın geometria kursynda alatyn orny [Construction problems and their place in the geometry course of the main school] // «Kazırgı zamangy matematika: problemalary jane koldanystary» III halyqaralyk Taimanov okulary: 2022 jylgy 25 karasha. – Kyzylorda: Korqyt Ata atyndagy KU Redaksialyk-baspa bolımı, 2022. – 344–350 b. [in Kazakh].

Yayınlanmış

2023-03-30