Ways to introduce the concept of "vector" in geometry
94 99
Anahtar Kelimeler:
Vector, school, geometry course , topicÖzet
In this paper, the methods of teaching the topic "vector" when studying the course of geometry at school are considered. One of the most difficult topics in geometry lessons for secondary students is considered to be the topics "vectors" and "Vector method in solving problems". In addition, the concept of a vector is one of the basic concepts in modern geometry. To increase the effectiveness of the study of the topic of vectors, historical analysis is considered, as well as teaching methods that students face when studying the topic. These problems are identified by special scientific methods aimed at ensuring the study of the topic of vectors in the geometry course of a secondary educational institution.
The teacher, teaching students the vector method, develops their cognitive interest, because on the basis of the vector method, it will be possible to enter coordinates on the plane in the future.
The topic of vectors is very important. This is because, first of all, it allows you to find a solution using vectors, making it easier to solve many problems of mathematics that are solved by other methods. In addition, it provides a great opportunity not only to make the proofs of many theorems understandable to students through vectors, but also to teach the search for solutions to problems and proofs of theorems.
Secondly, the concept of vector is used in many applications of the mathematics course. For example, it is also used in school algebra and geometry, or in function theory and probability theory.
Thirdly, the concept of a vector is an important concept in physics. Vectors also establish the interdisciplinary relationship between physics and mathematics.
Referanslar
Шыныбеков А.Н., Шыныбеков Д., Жумабаев Р. Геометрия. Жалпы білім беретін мектептің 9 сыныбына арналған оқулық. – Алматы:Атамұра, 2019.- 176 б.
Смирнов В.А., Туяков Е. Геометрия. Учебник для 9 кл.обшеобразовательной школы. – Алматы: Мектеп, 2019 – 176 с.
Солтан Г., Солтан А., Жумадилова А. Жалпы білім беретін мектептің 9 сыныбына арналған оқулық +CD. – Көкшетау:Келешек 2030, 2019.- 240 бет.
Нелин Е. П. Методические особенности изучения векторов в курсе планиметрии при их введении на координатной основе: дис. канд. пед. наук: 13.00.02. — М., 1984. https://www.dissercat.com/content/metodicheskie-osobennosti-izucheniya-vektorov-v-kurse-planimetrii-pri-ikh-vvedenii-na-koordi
Сат М. М. Методика изучения темы «Векторы» в школьном курсе математики: выпуск.квал., 2020 – 68 с. https://tuvgurep.elpub.ru/xmlui/bitstream/handle/123456789/261/vkr_sat_mila.pdf?sequence=1
Рыбакова Т. В. Интенсификация методической подготовки будущего учителя математики при изучении темы "векторы" и приложений векторов в школьном математическом образовании: дис. канд. пед. наук: 13.00.02. — К., 2003. https://nauka-pedagogika.com/viewer/91361/d?#?page=1
Потоскуев Е.В. Векторы и координаты как аппарат решения геометрических задач: учебное пособие // Е.В.Потоскуев. – г. Москва.: Изд-во Дрофа, 2008. – 173с.
Прояева И.В., Колобов А.Н. Об изучении векторной геометрии в современной школе. // Мир науки, культуры, образования. 2017. № 4(65). С.199-203. https://cyberleninka.ru/article/n/ob-izuchenii-vektornoygeometrii-v-sovremennoy-shkole (дата обращения 15.05.2020г.)
Саранцев Г. И. Методика обучения математике в средней школе: Учебное пособие для студентов математических специальностей педагогических вузов и университетов М.: Просвещение, 2002. - 224с.
Саранцев Г. И. Обучение математическим доказательствам в школе. г.Москва.: Просвещение, 2000. - 231 с. https://www.mathedu.ru/text/sarantsev_obuchenie_matematicheskim_dokaza telstvam_v_shkole_2000/p0/ (дата обращения 09.06.2020г.)
Dauletkulov A.U., Alikhan G.B. Various ways to implement the concepts of "vector" in the school course. //Bulletin of Kazakh National Women's Teacher Training University. 2019;(3):103-107. (In Kazakh)
Погорелов А.В. Геометрия 7-9 классы: учеб. для общеобразоват. организаций. –2-е изд. –г,Москва.: Просвещение, 2014. –240 с.
SHynybekov A.N., SHynybekov D., ZHumabaev R. Geometriya. ZHalpy bіlіm beretin mekteptіn 9 synybyna arnalgan oqulyq. – Almaty:Atamura, 2019.- 176 b.
Smirnov V.A., Tuyakov E. Geometriya. Uchebnik dlya 9 kl.obsheobrazovatel'noi shkoly. – Almaty: Mektep, 2019 – 176 s.
Soltan G., Soltan A., ZHumadilova A. ZHalpy bіlіm beretin mekteptіn 9 synybyna arnalgan oqulyq +CD. – Kokshetau:Keleshek 2030, 2019.- 240 bet.
Nelin E. P. Metodicheskie osobennosti izucheniya vektorov v kurse planimetrii pri ih vvedenii na koordinatnoj osnove: dis. kand. ped. nauk: 13.00.02. — M., 1984. https://www.dissercat.com/content/metodicheskie-osobennosti-izucheniya-vektorov-v-kurse-planimetrii-pri-ikh-vvedenii-na-koordi
Sat M. M. Metodika izucheniya temy «Vektory» v shkol'nom kurse matematiki: vypusk.kval., 2020 – 68 s. https://tuvgurep.elpub.ru/xmlui/bitstream/handle/123456789/261/vkr_sat_mila.pdf?sequence=1
Rybakova T. V. Intensifikaciya metodicheskoj podgotovki budushchego uchitelya matematiki pri izuchenii temy "vektory" i prilozhenij vektorov v shkol'nom matematicheskom obrazovanii: dis. kand. ped. nauk: 13.00.02. — K., 2003. https://nauka-pedagogika.com/viewer/91361/d?#?page=1
Potoskuev E.V. Vektory i koordinaty kak apparat resheniya geometricheskih zadach: uchebnoe posobie // E.V.Potoskuev. – g. Moskva.: Izd-vo Drofa, 2008. – 173s.
Proyaeva I.V., Kolobov A.N. Ob izuchenii vektornoj geometrii v sovremennoj shkole. // Mir nauki, kul'tury, obrazovaniya. 2017. № 4(65). S.199-203. https://cyberleninka.ru/article/n/ob-izuchenii-vektornoygeometrii-v-sovremennoy-shkole (data obrashcheniya 15.05.2020g.)
Sarancev G. I. Metodika obucheniya matematike v srednej shkole: Uchebnoe posobie dlya studentov matematicheskih special'nostej pedagogicheskih vuzov i universitetov M.: Prosveshchenie, 2002. - 224s.
Sarancev G. I. Obuchenie matematicheskim dokazatel'stvam v shkole. g.Moskva.: Prosveshchenie, 2000. - 231 s. https://www.mathedu.ru/text/sarantsev_obuchenie_matematicheskim_dokaza telstvam_v_shkole_2000/p0/ (дата обращения 09.06.2020г.)
Dauletkulov A.U., Alikhan G.B. Various ways to implement the concepts of "vector" in the school course // Bulletin of Kazakh National Women's Teacher Training University. 2019;(3):103-107. (In Kazakh)
Pogorelov, A.V. Geometriya 7-9 klassy: ucheb. dlya obshcheobrazovat. organizacij. –2-e izd. –g,Moskva.: Prosveshchenie, 2014. –240 s.
