Modernization of Methodical Systems of Teaching Mathematical Disciplines Based on GeoGebra
Abstract
The focus of this article is on the modernization of methodological systems for teaching mathematical disciplines studied by students in IT areas. The possibilities of the GeoGebra tool are revealed, which are important for improving the quality of mathematical training of future IT specialists in the context of the implementation of the didactic principle of visibility and the inclusion of students in research and project activities. The modular content of the discipline of the students' choice of the GeoGebra Instrumental Methods is presented. It was developed based on the technological procedures for designing the learning content and makes it possible to reuse the computational and graphic capabilities of GeoGebra in the practice of teaching mathematical disciplines. Particular attention is paid to the practical aspects of using GeoGebra in solving plot, applied problems associated with the use of active techniques and methods of teaching mathematical disciplines, the growth of students' creative and intellectual activity when working with topics that require visualization of mathematical concepts and objects. The conditions of methodologically expedient inclusion of Geogebra into the practice of teaching mathematical disciplines for the preparation of IT specialists and the modernization of already existing methodological systems for teaching mathematical disciplines are highlighted. The sequence of stages of design and teaching activities for the modernization of methodological systems for teaching mathematical disciplines, developed and implemented by the authors, helps to improve the practice of integrating information and pedagogical technologies, enhance the educational and cognitive activities of future IT specialists, mastering new tools, including for future use professional activity.
References
[2] Aslanov R.M. Belyaeva E.V., Mukhanov S.A. Information Technologies of Automated Generation of Tasks on the Differential Equations. Science and School. 2015; (4):162-167. Available at: https://www.elibrary.ru/item.asp?id=24118823 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[3] Aslanov R.M., Ignatova O.G. Electronic Training and its Role in Teaching Mathematical Disciplines. In: Mironova S.V. (ed.) Proceedings of the International Scientific Conference "Development potential of educational web-technologies". Arzamas, UNN; 2018. p. 243-246. Available at: https://www.elibrary.ru/item.asp?id=35024007 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[4] Monakhov V.M., Tikhomirov S.A. Evolution of the Methodical System of E-learning. Yaroslavl Pedagogical Bulletin.2018; (6):76-88. (In Russ., abstract in Eng.) DOI: https://doi.org/10.24411/1813-145X-2018-10230
[5] Bahtina O.I., Monakhov V.M. The Theoretical Basis of the Functioning of the Methodical System of Electronic Education. The Moscow University Bulletin. Series 20. Pedagogical Education. 2018; (4):43-57. Available at: https://www.elibrary.ru/item.asp?id=36604537 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[6] Monakhov V.M. Problems of Modern Didactics in the Present of a New Information Educational Environment and the Distributed Content. Pedagogical Journal of Bashkortostan. 2018; (1):13-19. (In Russ., abstract in Eng.) DOI: https://doi.org/10.21510/1817-3292-2018-1-13-19
[7] Falileeva M.V., Dyupina A.E. GeoGebra as Tools of Teaching the Course "Elementary Mathematics". In: Khenner E.K. (ed.) Proceedings of the International Scientific Conference "Teaching Mathematics and Computer Science in High School". Perm, PSU; 2017. p. 88-92. Available at: https://www.elibrary.ru/item.asp?id=29943037 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[8] Ziatdinov R., Rakuta V.M. Dynamic Geometry Environments as a Tool for Computer Modeling in the System of Modernmathematics Education. European Journal of Contemporary Education. 2012; 1(1):93-100. Available at: https://www.elibrary.ru/item.asp?id=17926006 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[9] Radović S. Teaching Materials "Surface Area of Geometric Figures" Created Using the Software Package GeoGebra. European Journal of Contemporary Education. 2013; 4(2):72-80. Available at: https://www.elibrary.ru/item.asp?id=19406232 (accessed 09.11.2019). (In Eng.)
[10] Erilova E.N. Implementation of the Cognitive-visual Approach Using Geogebra Interactive Geometry Software. Vestnik of Northern (Arctic) Federal University. Series Humanitarian and Social Sciences. 2015; (1):144-149. Available at: https://www.elibrary.ru/item.asp?id=23088802 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[11] Vendina A.A., Kirichek K.A. Mathematical experiment in the program of GeoGebra as one of the forms of implementation of the interactive teaching method (on the example of preparing students of a pedagogical high school). Mir Nauki, Kultury, Obrazovaniya = World of Science, Culture and Education. 2019; (1):272-276. Available at: https://www.elibrary.ru/item.asp?id=37247438 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[12] Horzum T., Ünlü M. Pre-Service Mathematics Teachers' Views about GeoGebra and Its Use. Acta Didactica Napocensia. 2017; 10(3):77-89. (In Eng.) DOI: https://doi.org/10.24193/ADN.10.3.8
[13] Kalinina E.S. Goal setting in Practice-oriented Teaching of Mathematical and Natural Science Disciplines in Higher Education Institutions of EMERCOM of Russia. Sovremennoe obrazovanie: soderzhanie, tekhnologii, kachestvo = Modern education: Content, Technology, Quality. 2019; 1:426-428. Available at: https://www.elibrary.ru/item.asp?id=38940111 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[14] Kalinina E.S. Integrative approach in teaching to mathematical and natural science disciplines in higher educational establishments of EMERCOM of Russia. Sovremennoe obrazovanie: soderzhanie, tekhnologii, kachestvo = Modern education: Content, Technology, Quality. 2018; 1:86-89. Available at: https://www.elibrary.ru/item.asp?id=34995722 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[15] Kalinina E.S. Integrative Approach to the Teaching Process on Mathematical Disciplines in Higher Educational Establishments of EMERCOM of Russia. Vestnik Sankt-Peterburgskogo Universiteta Gosudarstvennoi Protivopozharnoi Sluzhby MCHS Rossii. 2017; (2):187-193. Available at: https://www.elibrary.ru/item.asp?id=30508204 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[16] Karasev P.A., Chaikovskaya L.A. Improvement of higher education programs in the context of modern market requirements of educational services and professional communities. Economics and management: problems, solutions. 2017; 3(2):3-9. Available at: https://www.elibrary.ru/item.asp?id=29007155 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[17] Aslanov R.M., Ignatova O.G. The main components of the training system for the elements of mathematical analysis using ICT. In: Mordkovich A.G. (ed.) Proceedings of the International Scientific Conference "The concept of the development of mathematical education: problems and ways of implementation". Kaluga, TRP; 2015. p. 198-202. Available at: https://www.elibrary.ru/item.asp?id=24937496 (accessed 09.11.2019). (In Russ.)
[18] Mukhanov S.A., Mukhanova A.A., Nizhnikov A.I. The Use of Information Technologies for the Individualization of Teaching Mathematics on the Example of the Theme: "Differential Equations". Bulletin of the Moscow City Pedagogical University. Informatics and Informatization of Education. 2018; (1):72-77. Available at: https://www.elibrary.ru/item.asp?id=32808941 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[19] Bykanova O.A., Filippova N.V., Marchuk A.D. Project-research activity of senior pupils on the basis of interdisciplinary integration as a way to professional self-determination. Modern Science: actual problems of theory and practice. Series of "Humanities". 2019; (4):55-58. Available at: https://www.elibrary.ru/item.asp?id=38472412 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[20] Likhachev G.G., Sukhorukova I.V. Computer modeling and mathematical support of economic and social problems. Economic Analysis: Theory and Practice. 2003; (5):60-62. Available at: https://www.elibrary.ru/item.asp?id=9448297 (accessed 09.11.2019). (In Russ.)
[21] Mukhanov S.A., Nizhnikov A.I. Proektirovanie uchebnogo kursa [Design of the training course]. Pedagogicheskaya informatika = Pedagogical Informatics. 2014; (4):39-46. Available at: https://www.elibrary.ru/item.asp?id=23029398 (accessed 09.11.2019). (In Russ.)
[22] Tikhomirov N.P., Tikhomirova T.M., Sukiasyan A.G. Risks Theory Advanced. Moscow, RUE; 2019. (In Eng.)
[23] Tikhomirov N.P., Maksimov D.A., Shcherbakov A.V. Using the methods of risk theory in the development and verification of forecasts. Innovacii na osnove informacionnyh i kommunikacionnyh tekhnologij = Innovation based on information and communication technologies. 2010; (1):580-582. Available at: https://www.elibrary.ru/item.asp?id=21210834 (accessed 09.11.2019). (In Russ.)
[24] Tikhomirova T.M., Sukiasyan A.G. Еconometrics Advanced: Discrete Choice Models. Moscow, RUE; 2018. (In Eng.)
[25] Drushlyak M. Computer tools "Trace" and "Locus" in dynamic mathematics software. European Journal of Contemporary Education. 2014; 10(4):204-214. (In Russ., abstract in Eng.) DOI: https://doi.org/10.13187/ejced.2014.10.204
[26] Mukhanov S.A., Mukhanova A.A. Using the Wolfram | Alpha Service when Modeling Probabilistic Experiments. Modern Pedagogical Education. 2019; (2):67-69. Available at: https://www.elibrary.ru/item.asp?id=37101428 (accessed 09.11.2019). (In Russ., abstract in Eng.)
[27] Karasev A.A., Shklyaev A.E., Kokorev A.I., Myakota D.G., Mustafin M.R. The Development of Human Capital in Conditions of the Fourth Industrial Revolution. Drukerovskij vestnik. 2018; (5):48-61. (In Russ., abstract in Eng.) DOI: http://dx.doi.org/10.17213/2312-6469-2018-5-48-61
[28] Kulapov M.N., Varfolomeev V.P., Karasev P.A. Technological Aspects of the Control Theory Innovative Processes: System Analysis and Approaches to Modeling. Drukerovskij vestnik. 2018; (3):82-100. (In Russ., abstract in Eng.) DOI: http://dx.doi.org/10.17213/2312-6469-2018-3-82-100
[29] Chiriacescu F.-S., Chiriacescu B., Miron C. Didactic Instrument Developed in GeoGebra for the Determination of the Coordinates of an Earthquake Based on an Inquiry Based Learning Method. In: International Scientific Conference eLearning and Software for Education. 2019; 1:481-488. Bucharest: "Carol I" National Defence University. (In Eng.) DOI: http://doi.org/10.12753/2066-026X-19-063
[30] Saha R.A., Ayub A.F.M., Tarmizi R.A. The Effects of GeoGebra on Mathematics Achievement: Enlightening Coordinate Geometry Learning. Procedia – Social and Behavioral Sciences. 2010; 8:686-693. (In Eng.) DOI: https://doi.org/10.1016/j.sbspro.2010.12.095
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication policy of the journal is based on traditional ethical principles of the Russian scientific periodicals and is built in terms of ethical norms of editors and publishers work stated in Code of Conduct and Best Practice Guidelines for Journal Editors and Code of Conduct for Journal Publishers, developed by the Committee on Publication Ethics (COPE). In the course of publishing editorial board of the journal is led by international rules for copyright protection, statutory regulations of the Russian Federation as well as international standards of publishing.
Authors publishing articles in this journal agree to the following: They retain copyright and grant the journal right of first publication of the work, which is automatically licensed under the Creative Commons Attribution License (CC BY license). Users can use, reuse and build upon the material published in this journal provided that such uses are fully attributed.
