Methodology of formation of modeling skills based on a constructive approach (on the example of GeoGebra)

Drushlyak, Marina G.; Semenikhina, Olena V.; Proshkin, Volodymyr V.; Kharchenko, Serhii Ya.; Lukashova, Tetyana D.

URI: http://ceur-ws.org/Vol-2879/paper26.pdf
http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/4450
https://doi.org/10.31812/123456789/4450

Date: 2021-06-10

Abstract:

Author’s methodology of forming modeling skills involves 4 steps: Step 1 – the teacher step by step constructs the curve by means of cloud based service GeoGebra; Step 2 – the teacher offers a description- definition of the curve and provides a ready-made algorithm by which students model the curve inde- pendently in GeoGebra; Step 3 – the teacher offers an algorithm for constructing a curve model, and students need to characterize the properties of the curve or give its definition based on the results, Step 4 – students are offered definitions of curves that they have to model in GeoGebra). An example of realization of the author’s methodology is given, the pedagogical experiment on proof of its effectiveness is described.

Description:

[1] O. Markova, S. Semerikov, M. Popel, CoCalc as a learning tool for neural network simulation in the special course "Foundations of mathematic informatics", CEUR Workshop Proceedings 2104 (2018) 388–403. [2] S. Semerikov, I. Teplytskyi, Y. Yechkalo, O. Markova, V. Soloviev, A. Kiv, Computer simulation of neural networks using spreadsheets: Dr. Anderson, welcome back, CEUR Workshop Proceedings 2393 (2019) 833–848. [3] E. Laksha, The role of students’ constructive skills in preparation for professional activity, in: 2008 Conference Creativity and research in mathematics education, 2008, pp. 41–43. [4] N. Kononenko, Features of the development of the constructive component of mental activity in the field of geometry in schoolchildren, Scientific notes of the Trans-Baikal State University. Series: Physics, mathematics, engineering, technology (2010) 128–131. [5] T. Ivanina, The role of constructive activity in the development of the child, Bulletin of the Krasnoyarsk State Pedagogical University (2010) 19–23. [6] V. Pikalova, L. Novakovska, Formation of research skills of students in studying the topic second level curves, in: All-Ukrainian Conference Designing a learning environment as a methodological problem, 2007, pp. 107–109. [7] L. I. Bilousova, N. V. Zhytyenyova, Functional approach to the use of technology of visualization for intensification of learning process, Information Technologies and Learning Tools 57 (2017) 38–49. URL: https://journal.iitta.gov.ua/index.php/itlt/article/view/1525. doi:10.33407/itlt.v57i1.1525. [8] A. Alkhansa, A. Shakeabubakor, E. Sundararajan, A. R. Hamdan, Cloud computing services and applications to improve productivity of university researchers, International Journal of Information and Electronics Engineering 5 (2015) 153–157. doi:10.7763/IJIEE.2015. V5.521. [9] A. Smith, J. Bhogal, M. Sharma, Cloud computing: Adoption considerations for business and education, in: 2014 International Conference on Future Internet of Things and Cloud, 2014, pp. 302–307. doi:10.1109/FiCloud.2014.54. [10] M. P. Shyshkina, M. V. Popel, Cloud based learning environment of educational institutions: The current state and research prospects, Information Technologies and Learning Tools 37 (2013) 66–80. URL: https://journal.iitta.gov.ua/index.php/itlt/article/view/903. doi:10. 33407/itlt.v37i5.903. [11] P. Merzlykin, M. Popel, S. Shokaliuk, Services of SageMathCloud environment and their didactic potential in learning of informatics and mathematical disciplines, CEUR Workshop Proceedings 2168 (2017) 13–19. [12] M. Popel, S. Shokalyuk, M. Shyshkina, The learning technique of the SageMathCloud use for students collaboration support, CEUR Workshop Proceedings 1844 (2017) 327–339. [13] O. Bondarenko, O. Pakhomova, V. Zaselskiy, The use of cloud technologies when studying geography by higher school students, CEUR Workshop Proceedings 2433 (2019) 377–390. [14] I. Kholoshyn, O. Bondarenko, O. Hanchuk, E. Shmeltser, Cloud ArcGIS Online as an innovative tool for developing geoinformation competence with future geography teachers, CEUR Workshop Proceedings 2433 (2019) 403–412. [15] A. Kiv, V. Soloviev, S. Semerikov, CTE 2018 – How cloud technologies continues to transform education, CEUR Workshop Proceedings 2433 (2019) 1–19. URL: http://ceur-ws. org/Vol-2433/paper00.pdf. [16] O. Markova, S. Semerikov, A. Striuk, H. Shalatska, P. Nechypurenko, V. Tron, Implementation of cloud service models in training of future information technology specialists, CEUR Workshop Proceedings 2433 (2019) 499–515. [17] P. Nechypurenko, T. Selivanova, M. Chernova, Using the cloud-oriented virtual chemical laboratory VLab in teaching the solution of experimental problems in chemistry of 9th grade students, CEUR Workshop Proceedings 2393 (2019) 968–983. [18] M. Volikova, T. Armash, Y. Yechkalo, V. Zaselskiy, Practical use of cloud services for organization of future specialists professional training, CEUR Workshop Proceedings 2433 (2019) 486–498. [19] I. Kholoshyn, O. Bondarenko, O. Hanchuk, I. Varfolomyeyeva, Cloud technologies as a tool of creating Earth Remote Sensing educational resources, CEUR Workshop Proceedings 2643 (2020) 474–486. [20] A. Kiv, M. Shyshkina, S. Semerikov, A. Striuk, M. Striuk, H. Shalatska, CTE 2019 - When cloud technologies ruled the education, CEUR Workshop Proceedings 2643 (2020) 1–59. URL: http://ceur-ws.org/Vol-2643/paper00.pdf. [21] O. Korotun, T. Vakaliuk, V. Soloviev, Model of using cloud-based environment in training databases of future IT specialists, CEUR Workshop Proceedings 2643 (2020) 281–292. [22] V. Y. Velychko, E. H. Fedorenko, N. V. Kaidan, V. N. Soloviev, O. V. Bondarenko, The support of the process of training pre-service mathematics teachers by means of cloud services, CEUR Workshop Proceedings (2020, in press). [23] T. A. Vakaliuk, O. V. Korotun, S. O. Semerikov, The selection of cloud services for ERdiagrams construction in IT specialists databases teaching, CEUR Workshop Proceedings (2020, in press). [24] M. Shyshkina, Formation and development of a cloud-oriented educational and scientific environment of a higher educational institution, UkrINTEI, Kyiv, 2015. [25] M. Popel, CoCalc cloud service as a means of forming professional competencies of a mathematics teacher, Vydavnychyj centr Kryvorizkogo nacionalnogo universytetu, Kryvyi Rih, 2018. [26] I. Lovianova, D. Bobyliev, A. Uchitel, Cloud calculations within the optional course Optimization Problems for 10th-11th graders, CEUR Workshop Proceedings 2433 (2019) 459–471. [27] K. Vlasenko, O. Chumak, D. Bobyliev, I. Lovianova, I. Sitak, Development of an onlinecourse syllabus “Operations research oriented to cloud computing in the CoCalc system”, CEUR Workshop Proceedings 2740 (2020) 278–291. [28] D. Y. Bobyliev, E. V. Vihrova, Problems and prospects of distance learning in teaching fundamental subjects to future mathematics teachers, Journal of Physics: Conference Series 1840 (2021) 012002. URL: https://doi.org/10.1088/1742-6596/1840/1/012002. doi:10. 1088/1742-6596/1840/1/012002. [29] Geogebra, 2020. URL: https://www.geogebra.org. [30] O. V. Semenikhina, M. G. Drushliak, Y. V. Khvorostina, Use of GeoGebra cloud service in future math teachers’ teaching, Information Technologies and Learning Tools 73 (2019) 48–66. URL: https://journal.iitta.gov.ua/index.php/itlt/article/view/2500. doi:10.33407/ itlt.v73i5.2500. [31] E. Semenikhina, M. Drushlyak, Y. Bondarenko, S. Kondratiuk, N. Dehtiarova, Cloud-based service GeoGebra and its use in the educational process: the BYOD-approach, TEM Journal 8 (2019) 65–72. doi:10.18421/TEM81-08. [32] Y. Botuzova, GeoGebra dynamic models at the mathematics lessons as a STEM-approach, Physical and Mathematical Education (2018) 31–35. [33] T. Kramarenko, O. Pylypenko, V. Zaselskiy, Prospects of using the augmented reality application in STEM-based Mathematics teaching, CEUR Workshop Proceedings 2547 (2020) 130–144. [34] T. Kramarenko, O. Pylypenko, I. Muzyka, Application of GeoGebra in Stereometry teaching, CEUR Workshop Proceedings 2643 (2020) 705–718. [35] O. Hrybiuk, System of dynamic mathematics of GeoGebra as a means of supporting general and special abilities of students in the process of research learning: practical work experience, Physical and Mathematical Education (2020) 37–51. [36] M. Grabar, K. Krasnjanskaja, Application of mathematical statistics in pedagogical researches. Nonparametric methods, Pedagogika, Moscow, 1977. [37] L. Tuholko, The development of constructive activity of students in the X-XI grades in teaching geometry, Ph.D. thesis, Belorus State University, Minsk, 2018. [38] O. Lisimova, The system of design tasks as a method for studying planimetry in grade 7, Ph.D. thesis, Saint Petersburg, 1997. [39] V. Dalinger, Methodological features of teaching students planimetry in a stereometric environment, Modern high technologies (2012) 59–61. [40] A. Chuhnov, Constructive problems in olympiads in mathematics and computer science, Computer tools in education (2018) 56–62. doi:10.32603/2071-2340-2018-6-56-62. [41] A. Dashkevich, Geometric modeling of schemes of action of planetary kneading machines, Ph.D. thesis, Kyiv, 2008.

Show full item record