The effectiveness of using the software application "geogebra" in the construction of sections
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Anahtar Kelimeler:
geometry, softwareÖzet
The article provides training in cross-section construction using the GeoGebra software application. In the construction of sections of the GeoGebra software application, the conditions of spatial shapes and bodies of rotation, as well as their coordinate transfer, are fully studied. In order to determine whether students can show the image of sections on spatial bodies, a survey of 24 students on the topic of sections was conducted in Grade 10 "B" of the specialized boarding school "Daryn" in Kentau.In the survey, students were asked to draw a cross-section through given points on parallelepipeds and pyramids. As a result of the survey, it was found that the vast majority of students cannot show cross-section images. In order to compensate for the shortcomings, it was chosen to interpret cross-section imaging for Class 10"B" using the "GeoGebra" software. Effective uses of the "GeoGebra" software have paid off within the prescribed time frame. In particular , we can see an increase in the quality of education by 50% and 86%. Students analyze, prove the idea of change through the visualization process and, as a result, showed a positive conclusion. As a result of the test from students of the 10th grade "B", which was in-depth in the direction of physics and mathematics, the effectiveness of the GeoGebra software was clearly demonstrated. When constructing cross-sections of polygons, the difference in the view of constructing cross-sections of one problem by students in both ways was given (table-1).
Referanslar
А.Е.Әбілқасымова, И.Б.Бекбоев, Л.С.Хохлова, З.Ә.Жұмағұлова. Көпжақтардың қималарын салу: Оқу-әдістемелік құрал// – Алматы: Атамұра, 2009. – 96 с.
Б.Ж. Майбазарова, Қ.Х. Баетов. GeoGebra программасы көмегімен кеңістіктегі
фигуралардың қимасын салу әдістемесі// Абай атындағы ҚазҰПУ-нің ХАБАРШЫСЫ, «Физика-математика ғылымдары» сериясы, 2020. – №2(70). – С. 98-100.
А. В. Погорелов Геометрия 10-11 классы Учебник для общеобразовательных
организации// Москва: «Просвещение», 2014г. - 175 с
С.О.Сатыбалдиев, Қ.Қаңлыбаев. Геометрия есептерін шешу әдістемесі// – Алматы, 2011. – 103 б.
Қ. Қаңлыбаев, М. Меңдіғалиева. Стереометрия есептерін шешудің методикалық нұсқаулары// – Алматы, 1990. – 65 б.
В.А. Смирнов, Е.А.Туяков. Жалпы білім беретін мектептің жаратылыстану-математика бағытындағы 11-сыныбына арналған оқулық// - Алматы: Мектеп, 2020. - 41 б. 7. Э. Г.Готман. Стереометрические задачи и методы их решения// — Москва: МЦНМО, 2006. – 160 с.
Е.М.Кирин. Построение сечений и линий пересечения поверхностей// Издательство ПГУ, 2011. – 160 с. 9. Абатурова В.С., Смирнов Е.И., Юнусова А.А., Жохов А.Л., Юнусов А.А., Жумадуллаев Д.К. Технологические основы математической подготовки в высшей школе// Известия Национальной академии наук Республики Казахстан. – 2020. - Том 1, № 329, 14-22 стр.
В.А.Далингер, Методика обучения учащихся построению пространственных тел и их сечений на плоскостном чертеже// Международный журнал экспериментального образования. – 2016. – № 12-1. – С. 26-27 с.
Воробьева Н.Г. Развитие пространственного воображения учащихся в процессе решения геометрических задач// Геометрическое образование: концепции методики технологии, 2009. - 1-5 c.
Л.С.Атанасян, В.Ф.Бутузов, С.Б.Кадомцев и др. Геометрия. 10-11 классы// Москва: Просвещение, 2019. – 255 с.
Abylkasymova A. E., Bekboev I. B., Khokhlova L. S., Zhumagulova Z. A. Polyhedra
construction of sections: educational and methodical manual / / - Almaty: Atamura, 2009. - p. 96 2. B. Zh. Maybazarova, K. H. Baetov. Using the GeoGebra program in space
methods of drawing cross-sections of figures// Bulletin of Abai Kaznpu, Series "physical and Mathematical Sciences". - 2020. - №2(70). – 98-100 P. 3. A.V. Pogorelov Geometry grades 10-11 Textbook for general education organizations// Moscow: "Enlightenment", 2014 - 175 p. 4. S. O. Satybaldiev, K. Kanglybayev. Methodology for solving geometry problems/ / - Almaty, 2011. –103 P. 5. K. Kanglybayev, M. Mendigalieva. Methods for solving problems of stereometry instructions// - Almaty, 1990. - 65 P. 6. V. A. Smirnov, E. A. Tuyakov. Science and mathematics of a comprehensive school textbook for the 11th grade in the direction/ / - Almaty: School, 2020. - 41 p. 7. E. G. Gotman. Stereometric problems and methods of their solution// — Moscow: ICNMO,2006. -160 p. 8. E.M.Kirin. Construction of sections and lines of intersection of surfaces// PSU Publishing House, 2011. – 160 p. 9. Abaturova V.S., Smirnov E.I., Yunusova A.A., Zhokhov A.L., Yunusov A.A., Zhumadullaev D.K. Technological foundations of mathematical training in higher school// Izvestia The National Academy of Sciences of the Republic of Kazakhstan. – 2020. - Volume 1, No. 329, 14-22 p. 10. V.A.Dalinger, Methods of teaching students to construct spatial bodies and their sections on a planar drawing// International Journal of Experimental Education. – 2016. – No. 12-1. – p. 26-27 p. 11. Vorobyova N.G. Development of spatial imagination of students in the process of solving geometric problems// Geometric education: concepts of methodology of technology, 2009. - 1-5 p. 12. L.S.Atanasyan, V.F.Butuzov, S.B.Kadomtsev, etc. Geometry. Grades 10-11// Moscow: Prosveshchenie, 2019. – 255 p.
