Multidimensional Geometry in Elective Courses for Secondary School and First Year University Students
Main Article Content
Abstract
In the paper, we develop some approaches to teaching multidimensional geometry in elective courses the aim of which is to help students to develop multidimensional geometric intuition. Special attention is given to the use of transformation groups in the study of geometry of regular polyhedrons.
Article Details
References
2. Базылев В.Т., Дуничев К.И. Геометрия II. М.: Просвещение, 1975. 367.
3. Берже М. Геометрия. Т. 1. М.: Мир, 1984. 560 с.
4. Берже М. Геометрия. Т. 2. М.: Мир, 1984. 368 с.
5. Кокстер Г.С.М. Введение в геометрию. М.: Наука, 1966. 648 с.
6. Открытая Поволжская математическая олимпиада студентов, приуроченная ко дню рождения Н.И. Лобачевского. URL: https://lobachevolymp.kpfu.ru
7. Проскуряков И.В. Сборник задач по линейной алгебре. М.: Наука, 1967. 384 с.
8. Розенфельд Б.А. Многомерные пространства. М.: Наука, 1966. 648 с.
9. Садовничий В.А., Григорьян А.А., Конягин С.В. Задачи студенческих математических олимпиад. М.: Изд-во Моск. ун-та, 1987. 310 с.
10. Сборник задач по геометрии. Под ред. В.Т. Базылева. М.: Просвещение, 1980. 240 с.
11. Шурыгин В.В., Шурыгин В.В. (мл.) Аналитическая геометрия I. Учебное пособие к курсу «Аналитическая геометрия». Часть I. Аналитическая геометрия плоскости. Казань: КФУ, 2018. 154 с.
12. Шурыгин В.В., Шурыгин В.В. (мл.) Комбинирование методов евклидовой, аффинной и проективной геометрий при решении геометрических задач // Электронные библиотеки. 2021. Т. 24. № 3. С. 563-580.
13. Шурыгин В.В., Шурыгин В.В. (мл.) Аналитическая геометрия III. Учебное пособие к курсу «Аналитическая геометрия». Часть III. Многомерные пространства. Гиперповерхности второго порядка. Казань: КФУ, 2014. 160 с.
14. Энциклопедия элементарной математики. Кн. V — Геометрия. М.: Физ-матгиз, 1966. 624 с.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Presenting an article for publication in the Russian Digital Libraries Journal (RDLJ), the authors automatically give consent to grant a limited license to use the materials of the Kazan (Volga) Federal University (KFU) (of course, only if the article is accepted for publication). This means that KFU has the right to publish an article in the next issue of the journal (on the website or in printed form), as well as to reprint this article in the archives of RDLJ CDs or to include in a particular information system or database, produced by KFU.
All copyrighted materials are placed in RDLJ with the consent of the authors. In the event that any of the authors have objected to its publication of materials on this site, the material can be removed, subject to notification to the Editor in writing.
Documents published in RDLJ are protected by copyright and all rights are reserved by the authors. Authors independently monitor compliance with their rights to reproduce or translate their papers published in the journal. If the material is published in RDLJ, reprinted with permission by another publisher or translated into another language, a reference to the original publication.
By submitting an article for publication in RDLJ, authors should take into account that the publication on the Internet, on the one hand, provide unique opportunities for access to their content, but on the other hand, are a new form of information exchange in the global information society where authors and publishers is not always provided with protection against unauthorized copying or other use of materials protected by copyright.
RDLJ is copyrighted. When using materials from the log must indicate the URL: index.phtml page = elbib / rus / journal?. Any change, addition or editing of the author's text are not allowed. Copying individual fragments of articles from the journal is allowed for distribute, remix, adapt, and build upon article, even commercially, as long as they credit that article for the original creation.
Request for the right to reproduce or use any of the materials published in RDLJ should be addressed to the Editor-in-Chief A.M. Elizarov at the following address: amelizarov@gmail.com.
The publishers of RDLJ is not responsible for the view, set out in the published opinion articles.
We suggest the authors of articles downloaded from this page, sign it and send it to the journal publisher's address by e-mail scan copyright agreements on the transfer of non-exclusive rights to use the work.