USING GEOGEBRA ENVIRONMENT TO VISUALIZE EDUCATIONAL MATERIAL IN THE PROCESS OF TRAINING PRE-SERVICE MATHEMATICS TEACHERS
DOI:
https://doi.org/10.31110/2413-1571-2022-034-2-005Keywords:
information technologies, GeoGebra, dynamic mathematics, visualization, differential geometry, linear algebraAbstract
Formulation of the problem. The training of pre-service mathematics teachers requires a high level of visualization of educational material. Integrating a dynamic learning environment GeoGebra can help improve students' skills and knowledge, as well as improve the level of teaching to achieve desired learning goals.
Materials and methods The following methods were used in the course of work: theoretical (analysis of scientific and methodological literature to study the state of the problem of using visualization tools by computer mathematics); empirical (observation and systematization of GeoGebra tools in lectures and practical classes of the disciplines "Linear Algebra" and "Differential Geometry and Topology"). It illustrated how one can build and explore space and plane curves with GeoGebra as well as manipulate matrices.
Results. This work studies peculiarity of using custom applets and other GeoGebra activities in the process of teaching differential geometry and linear algebra as a part of the pre-service mathematics teachers’ training curriculum. In particular, it describes the affordances of this tool for studying the space curves and forming matrices operations, and finding inverse matrices skills. The advantages and disadvantages of using the GeoGebra environment in the process of teaching linear algebra and differential geometry are highlighted.
Conclusions. In today's world, the introduction of information technology in the educational process is a necessary component of the successful mastering of mathematics. GeoGebra is one of the powerful systems of computer mathematics used for dynamic visualization, problem-solving calculations, data processing, and research. This work uses some of the mathematical disciplines to illustrate the benefits of using GeoGebra in the educational process.
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REFERENCES (TRANSLATED AND TRANSLITERATED)
Arguel, A., & Jamet, E. (2009). Using video and static pictures to improve learning of procedural contents. Computers in Human Behavior, 25, 2, 354–359.
Bezuhlyi, D. S. (2014). Vizualizatsiia yak suchasna stratehiia navchannia [Visualization As A Strategy In Modern Teaching]. Fizyko-matematychna osvita – Physical and Mathematical Education, 1(2), 5-11. (in Ukrainian).
Brucker, B., Scheiter, K., & Gerjets, P. (2014). Learning with dynamic and static visualizations: Realistic details only benefit learners with high visuospatial abilities. Computers in Human Behavior. Amsterdam, 36, 330–339.
Dereza, I. S. & Ivanova, O. A. (2018). Vykorystannia GeoGebra u protsesi navchannia temy «Pokhidna ta yii zastosuvannia» [Using of GeoGebra during learning the theme «The derivative and its applications»]. Novitni kompiuterni tekhnolohii – New Computer Technology, 16, 269-274. (in Ukrainian).
Drushlyak, M. G. Lukashova, T. D., & Skaskiv, L. V. (2019). Navchannia maibutnikh vchyteliv matematyky rozviazuvaty zadachi teorii hrafiv iz vykorystanniam GeoGebra [Learning Future Math Teachers To Solve The Problems Of Graph Theory Using Geogebra]. Fizyko-matematychna osvita – Physical and Mathematical Education, 1(19), 35-40. https://doi.org/10.31110/2413-1571-2019-019-1-006. (in Ukrainian).
Drushlyak, M. G., & Semenikhina, O. V. (2021). Kompiuterni instrumenty realizatsii konstruktyvnoho pidkhodu v GeoGebra [Computer tools for implementing a constructive approach in GeoGebra]. II Mizhnarodna konferentsiia «Problemy vykladannia matematyky u zakladakh osvity: teoriia, metodyka, praktyka, prysviachena akademiku O. V. Pohorielovu – II International conference «Problems of teaching mathematics in educational institutions: theory, methods, practice» dedicated to academician O. V. Pogorelov. (pp. 58-61). Kharkiv. (in Ukrainian).
Drushlyak, M. Semenikhina, O. Proshkin, V. Kharchenko, S., & Lukashova, T. (2020). Methodology of formation of modeling skills based on a constructive approach (on the example of GeoGebra), Cloud Technologies in Education 2020: Proceedings of the 8th Workshop on Cloud Technologies in Education (CTE 2020), 458-472.
Hrybiuk, O. O., & Yunchyk, V. L. (2016). Osoblyvosti vykorystannia systemy GeoGebra v protsesi navchannia kursu «Matematychni osnovy informatyky» [Features Of Using The System GeoGebra In Teachng Course «Mathematical Foundations Of Informatics»]. Aktualni pytannia humanitarnykh nauk – Humanities science current issues, 15, 284-298 (in Ukrainian).
Kramarenko, T. H. (2019). Vybrani pytannia elementarnoi matematyky z GeoGebra: GeoGebraBook [Selected Questions Of Elementary Mathematics From GeoGebra]. Kryvyi Rih: Kryvyi Rih State Pedagogical University. https://www.geogebra.org/m/gqpk8yfu. (in Ukrainian).
Makhometa, T. M., Vakaliuk, T. A., & Tiahai, I. M. (2018). Informatsiino-komunikatsiini tekhnolohii navchannia analitychnoi heometrii ta liniinoi alhebry maibutnikh uchyteliv fizyky y informatyky [Information And Communication Technologies In Training The Discipline «Analytical Geometry And Linear Algebra» At The Pedagogical University]. Informatsiini tekhnolohii i zasoby navchannia – Information Technologies and Learning Tools, 67(5), 173-186. https://doi.org/10.33407/itlt.v67i5.2156. (in Ukrainian).
Polishchuk, T. V. (2021). Geogebra yak efektyvnyi zasib formuvannia tsyfrovoi kompetentnosti u maibutnikh uchyteliv matematyky pid chas vyvchennia kursu «Kompleksnyi analiz» [Geogebra as an effective tool for the formation of digital competence in future mathematics teachers during the course «Complex Analysis»]. Aktualni pytannia pryrodnycho-matematychnoi osvity – Topical issues of natural science and mathematics education, 1(17), 144-153. (in Ukrainian).
Polishchuk, T. V. (2019). Vykorystannia systemy GeoGebra v protsesi navchannia kursu «Matematychnyi analiz» [Using The Geogebra System In The Process Of Teaching The Course «Matematical Analysis»]. https://informatika.udpu.edu.ua/?page_id=526. (in Ukrainian).
Semenikhina, O. V., Drushliak, M. V., & Khvorstina, Yu. V. (2019). Vykorystannia khmarnoho servisu GeoGebra u navchanni maibutnikh uchyteliv pryrodnycho-matematychnykh dystsyplin [Use Of GeoGebra Cloud Service In Future Math Teachers' Teaching]. Informatsiini tekhnolohii i zasoby navchannia – Information Technologies and Learning Tools, 73(5), 48-66. https://doi.org/10.33407/itlt.v73i5.2500. (in Ukrainian).
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