The yurt as a geometric model in teaching mathematics
DOI:
https://doi.org/10.25178/nit.2020.4.6Keywords:
yurt; Tuvan yurt; Tuvans; Tuva; mathematics; teaching mathematics; analytical geometry; geometrical concept; geometrical model; virtual learning environmentAbstract
The article deals with the yurt as a model for the study of analytical geometry in the system of education of the Republic of Tuva. The elements of the yurt come as a number of geometrical shapes, such as a cylinder, a truncated cone and part of a sphere (the three main rotation bodies), as well as parallel lines, circles, rectangles, and other figures. Thus the yurt can be seen as the best study model for mastering geometrical knowledge by focusing on the object well-known to students.
The authors have developed an electronic training module titled "The yurt as a geometric model in the study of mathematics", working within a virtual learning environment. It includes interactive lectures, simulator tests and individual tasks, and aims to improve command of mathematics and demonstrate the potential of e-learning in practice.
References
Argunova, N. V., Argunova, A. P. and Popova, A. M. (2020) Razvitie prostranstvennogo myshleniia obuchaiushchikhsia pri reshenii geometricheskikh zadach s elementami iakutskogo byta i zodchestva [Development of students’ spatial thinking in solving geometric problems containing elements of Yakut life and architecture]. Pedagogika. Voprosy teorii i praktiki, vol. 5, no. 1, pp. 17–21. (In Russ.). DOI: https://doi.org/10.30853/pedagogy.2020.1.3
Baiyr-ool, M. S. (2013) Iurta v tuvinskoi traditsionnoi kul'ture [The yurt in traditional Tuvan culture]. New Research of Tuva, no. 2, pp. 67–79 [online] Available at: https://nit.tuva.asia/nit/article/view/242 (access date: 01.07.2020).
Vainshtein, S. I. (1974) Istoriia narodnogo iskusstva Tuvy [History of folk art in Tuva]. Moscow, Nauka. 223 p. (In Russ.).
Vainshtein, S. I. (1991) Mir kochevnikov tsentra Azii [The world of nomads of the center of Asia]. Moscow, Nauka. 296 p. (In Russ.).
Vainshtein, S. I. (2009) Zagadochnaia Tuva [The mysterious Tuva]. Moscow, Domashniaia gazetaю 416 p. (In Russ.)
Volovich, M. B. (1995) Nauka obuchat': tekhnologiia prepodavaniia matematiki [The science of teaching: the technique of teaching mathematics]. Moscow, LINKA-PRESS. 280 p. (In Russ.).
Hilbert, D. and Cohn-Fossen, S. (1936) Nagliadnaia geometriia [Visual geometry]. Moscow, Leningrad, ONTI. 304 p. (In Russ.).
Dongak, S. Ch. (2012) Nekotorye predstavleniia tuvintsev, sviazannye s iurtoi. Drevniaia istoriia i traditsionnaia kul'tura [Some Tuvan concepts associated with the yurt: Ancient history and traditional culture]. Nauchnoe obozrenie Saiano-Altaia, no. 1 (13), pp. 63–67. (In Russ.).
Kakaeva, I. V. and Sultanbaeva, K. I. (2019) Oznakomlenie s iurtoi kak sredstvo priobshcheniia detei starshego doshkol'nogo vozrasta k narodnoi kul'ture khakasov [Getting familiar with the yurt as a means of introducing children of senior preschool age to the Khakass folk culture]. Internauka, no. 21–1 (103), pp. 71–72 [online] Available at: http://internauka.org/journal/science/internauka/103 (access date: 20.09.2020). (In Russ.).
Komenský, J. A. (1955) Izbrannye pedagogicheskie sochineniia [Selected pedagogical works]. Moscow, Ripol Klassik. 651 p. (In Russ.).
Kudriavtseva, V. I. and Udler, E. M. (2015) Vyvod uravneniia meridiana krugovogo tentovogo shatra [Derivation of the eridian equation of a circular tent]. Fundamental'nye issledovaniia, no. 7–2, pp. 318–322. (In Russ.).
Leont'ev, A. N. (1959) O mekhanizme chuvstvennogo otrazheniia [On the mechanism of sensory reflection]. Voprosy psikhologii, no. 2, pp. 19–41. (In Russ.).
Mongush, A. S. and Tanova, O. M. (2016) Matematicheskie zadachi s regional'nym kontekstom kak sredstvo motivatsii obucheniia matematike (na primere respubliki Tyva) [Mathematical problems with a regional context as a means of motivating teaching mathematics: the case of the Republic of Tuva)]. Vestnik Krasnoiarskogo gosudarstvennogo pedagogicheskogo universiteta im. V. P. Astaf'eva, no. 2 (36), pp. 22–27. (In Russ.).
Ondar, Ch. M. and Tanzy, M. V. (2016) Iurta kak odin iz elementov pri izuchenii osnovnykh geometricheskikh poniatii [The yurt as an element in the study of basic geometric concepts]. In: Aktual'nye problemy issledovaniia etnoekologicheskikh i etnokul'turnykh traditsii narodov Saiano-Altaia [Urgent issues of researching ethnoecological and ethno-cultural traditions of the Sayano-Altai peoples] : Proceedings of the 4th international research and practical conference of young scientists, postgraduates and students dedicated to The year of hospitality in the Republic of Tuva / ed. by U. V. Ondar. Kyzyl, Tuvinskii gosudarstvennyi universitet. 227 p. Pp.127–129. (In Russ.).
Potapov, L. P. (1969) Ocherki narodnogo byta tuvintsev [The Tuvans: sketches of the folk lifestyle and related household activities]. Moscow, Nauka, GRVL. 402 p. (In Russ.).
Solpubashova A. R., Sin E. E. and Murzaibraimova B. B. (2017) Razvitie poznavatel'nogo interesa uchashchikhsia pri izuchenii fiziki i matematiki [Development of students ' cognitive interest in studying physics and mathematics]. Izvestiia Kyrgyzskoi Akademii obrazovaniia, no. 1 (41), pp. 66–72. (In Russ.).
Tanzy M. V., Kuular L. L., Troiakova G. A. and Saaia S. K. (2019) Tekhnologiia distantsionnogo obucheniia matematike studentov v elektronnoi srede MOODLE [Technology of distance learning in mathematics for students in the MOODLE virtual environment]. Vestnik Krasnoiarskogo gosudarstvennogo pedagogicheskogo universiteta im. V. P. Astaf'eva, no. 1 (47), pp. 35–41. (In Russ.). DOI: https://doi.org/10.25146/1995-0861-2019-47-1-101
Taryma, A. K., Shershneva, V. A. and Vainshtein, Yu. V. (2019) Formirovanie informatsionno-kommunikatsionnoi kompetentnosti budushchego uchitelia respubliki Tyva v usloviiakh dvuiazychiia [Building information and communication competence of teachers in the Republic of Tuva under conditions of bilingualism]. Perspektivy nauki i obrazovaniia, no. 4 (40), pp. 77–90. (In Russ.). DOI: https://doi.org/10.32744/pse.2019.4.7
Shoiduk, L. Sh. (2019) Iurta — drevnee zhilishche tuvintsev [The yurt as an ancient dwelling of Tuvans]. Iskusstvo Evrazii, no. 3 (14), pp. 302–316. (In Russ.).
Vainshtein, I. V., Shershneva, V. A., Esin, R. V. and Noskov, M. V. (2019) Individualisation of Education in Terms of E learning: Experience and Prospects. Journal of Siberian Federal University. Humanities & Social Sciences, vol. 9 (12), pp. 1753–1770. DOI: https://doi.org/https://doi.org/10.17516/1997-1370-0481
Zykova, T. V., Shershneva, V. A., Vainshtein, Yu. V. and Danilenko, A. S., Kytmanov, A. A. (2018) E-learning courses in mathematics in higher education. Perspectives of Science and Education, vol. 4 (34), pp. 58–65. DOI: https://doi.org/10.32744/pse.2019.4.7
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How to Cite
Танзы М. В., Саая С. К., Шершнева В. А., Вайнштейн Ю. В., Ондар Ч. М. Юрта как геометрическая модель в обучении математике в Туве // Новые исследования Тувы. 2020, № 4. С. 80–91. DOI: www.doi.org/10.25178/nit.2020.4.6
For citation:
Tanzy M. V., Shershneva V. A., Vainshtein Yu. V., Saaya S. K. and Ondar Ch. M. Iurta kak geometricheskaia model' v obuchenii matematike v Tuve [The yurt as a geometric model in teaching mathematics]. New Research of Tuva, 2020, no. 4, pp. 80–91. (In Russ.). DOI: www.doi.org/10.25178/nit.2020.4.6
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