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

Authors

DOI:

https://doi.org/10.55056/cte.300

Keywords:

modeling skills, skills development methodology, cloud service, GeoGebra cloud service, constructive approach, modeling, interesting curves, professional training

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 independently 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.

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References

Alkhansa, A., Shakeabubakor, A., Sundararajan, E. and Hamdan, A.R., 2015. Cloud computing services and applications to improve productivity of university researchers. International journal of information and electronics engineering, 5(2), pp.153–157. Available from: https://doi.org/10.7763/IJIEE.2015.V5.521. DOI: https://doi.org/10.7763/IJIEE.2015.V5.521

Bilousova, L.I. and Zhytyenyova, N.V., 2017. Functional approach to the use of technology of visualization for intensification of learning process. Information technologies and learning tools, 57(1), pp.38–49. Available from: https://doi.org/10.33407/itlt.v57i1.1525. DOI: https://doi.org/10.33407/itlt.v57i1.1525

Bobyliev, D.Y. and Vihrova, E.V., 2021. Problems and prospects of distance learning in teaching fundamental subjects to future mathematics teachers. Journal of physics: Conference series, 1840(1), p.012002. Available from: https://doi.org/10.1088/1742-6596/1840/1/012002. DOI: https://doi.org/10.1088/1742-6596/1840/1/012002

Bondarenko, O., Pakhomova, O. and Zaselskiy, V., 2019. The use of cloud technologies when studying geography by higher school students. Ceur workshop proceedings, 2433, pp.377–390. DOI: https://doi.org/10.55056/cte.398

Botuzova, Y., 2018. GeoGebra dynamic models at the mathematics lessons as a STEMapproach. Physical and mathematical education, (3), pp.31–35. DOI: https://doi.org/10.31110/2413-1571-2018-017-3-005

Chuhnov, A., 2018. Constructive problems in olympiads in mathematics and computer science. Computer tools in education, (6), pp.56–62. Available from: https://doi.org/10.32603/2071-2340-2018-6-56-62. DOI: https://doi.org/10.32603/2071-2340-2018-6-56-62

Dalinger, V., 2012. Methodological features of teaching students planimetry in a stereometric environment. Modern high technologies, (7), pp.59–61.

Dashkevich, A., 2008. Geometric modeling of schemes of action of planetary kneading machines. Ph.D. thesis. Kyiv.

Geogebra, 2020. Available from: https://www.geogebra.org.

Grabar, M. and Krasnjanskaja, K., 1977. Application of mathematical statistics in pedagogical researches. nonparametric methods. Moscow: Pedagogika.

Hrybiuk, O., 2020. 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, (2), pp.37–51. DOI: https://doi.org/10.31110/2413-1571-2020-024-2-006

Ivanina, T., 2010. The role of constructive activity in the development of the child. Bulletin of the krasnoyarsk state pedagogical university, (3), pp.19–23.

Kholoshyn, I., Bondarenko, O., Hanchuk, O. and Shmeltser, E., 2019. Cloud ArcGIS Online as an innovative tool for developing geoinformation competence with future geography teachers. Ceur workshop proceedings, 2433, pp.403–412. DOI: https://doi.org/10.55056/cte.401

Kholoshyn, I., Bondarenko, O., Hanchuk, O. and Varfolomyeyeva, I., 2020. Cloud technologies as a tool of creating Earth Remote Sensing educational resources. Ceur workshop proceedings, 2643, pp.474–486. DOI: https://doi.org/10.55056/cte.388

Kiv, A., Shyshkina, M., Semerikov, S., Striuk, A., Striuk, M. and Shalatska, H., 2020. CTE 2019 - When cloud technologies ruled the education. Ceur workshop proceedings, 2643, pp.1–59. Available from: http://ceur-ws.org/Vol-2643/paper00.pdf. DOI: https://doi.org/10.55056/cte.306

Kiv, A., Soloviev, V. and Semerikov, S., 2019. CTE 2018 – How cloud technologies continues to transform education. Ceur workshop proceedings, 2433, pp.1–19. Available from: http://ceur-ws.org/Vol-2433/paper00.pdf. DOI: https://doi.org/10.55056/cte.352

Kononenko, N., 2010. 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, (2), pp.128–131.

Korotun, O., Vakaliuk, T. and Soloviev, V., 2020. Model of using cloud-based environment in training databases of future IT specialists. Ceur workshop proceedings, 2643, pp.281–292. DOI: https://doi.org/10.55056/cte.360

Kramarenko, T., Pylypenko, O. and Muzyka, I., 2020. Application of GeoGebra in Stereometry teaching. Ceur workshop proceedings, 2643, pp.705–718. DOI: https://doi.org/10.55056/cte.418

Kramarenko, T., Pylypenko, O. and Zaselskiy, V., 2020. Prospects of using the augmented reality application in STEM-based Mathematics teaching. Ceur workshop proceedings, 2547, pp.130–144. DOI: https://doi.org/10.31812/123456789/3753

Laksha, E., 2008. The role of students’ constructive skills in preparation for professional activity. 2008 conference creativity and research in mathematics education. pp.41–43.

Lisimova, O., 1997. The system of design tasks as a method for studying planimetry in grade 7. Ph.D. thesis. Saint Petersburg.

Lovianova, I., Bobyliev, D. and Uchitel, A., 2019. Cloud calculations within the optional course Optimization Problems for 10th-11th graders. Ceur workshop proceedings, 2433, pp.459–471. DOI: https://doi.org/10.55056/cte.406

Markova, O., Semerikov, S. and Popel, M., 2018. CoCalc as a learning tool for neural network simulation in the special course "Foundations of mathematic informatics". Ceur workshop proceedings, 2104, pp.388–403. DOI: https://doi.org/10.31812/0564/2250

Markova, O., Semerikov, S., Striuk, A., Shalatska, H., Nechypurenko, P. and Tron, V., 2019. Implementation of cloud service models in training of future information technology specialists. Ceur workshop proceedings, 2433, pp.499–515. DOI: https://doi.org/10.55056/cte.409

Merzlykin, P., Popel, M. and Shokaliuk, S., 2017. Services of SageMathCloud environment and their didactic potential in learning of informatics and mathematical disciplines. Ceur workshop proceedings, 2168, pp.13–19. DOI: https://doi.org/10.55056/cte.130

Nechypurenko, P., Selivanova, T. and Chernova, M., 2019. 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, pp.968–983. DOI: https://doi.org/10.31812/123456789/3175

Pikalova, V. and Novakovska, L., 2007. Formation of research skills of students in studying the topic second level curves. All-ukrainian conference designing a learning environment as a methodological problem. pp.107–109.

Popel, M., 2018. CoCalc cloud service as a means of forming professional competencies of a mathematics teacher. Kryvyi Rih: Vydavnychyj centr Kryvorizkogo nacionalnogo universytetu.

Popel, M., Shokalyuk, S. and Shyshkina, M., 2017. The learning technique of the SageMathCloud use for students collaboration support. Ceur workshop proceedings, 1844, pp.327–339. DOI: https://doi.org/10.31812/0564/1076

Semenikhina, E., Drushlyak, M., Bondarenko, Y., Kondratiuk, S. and Dehtiarova, N., 2019. Cloud-based service GeoGebra and its use in the educational process: the BYOD-approach. Tem journal, 8(1), pp.65–72. Available from: https://doi.org/10.18421/TEM81-08.

Semenikhina, O.V., Drushliak, M.G. and Khvorostina, Y.V., 2019. Use of GeoGebra cloud service in future math teachers’ teaching. Information technologies and learning tools, 73(5), pp.48–66. Available from: https://doi.org/10.33407/itlt.v73i5.2500. DOI: https://doi.org/10.33407/itlt.v73i5.2500

Semerikov, S., Teplytskyi, I., Yechkalo, Y., Markova, O., Soloviev, V. and Kiv, A., 2019. Computer simulation of neural networks using spreadsheets: Dr. Anderson, welcome back. Ceur workshop proceedings, 2393, pp.833–848. DOI: https://doi.org/10.31812/123456789/3178

Shyshkina, M., 2015. Formation and development of a cloud-oriented educational and scientific environment of a higher educational institution. Kyiv: UkrINTEI.

Shyshkina, M.P. and Popel, M.V., 2013. Cloud based learning environment of educational institutions: The current state and research prospects. Information technologies and learning tools, 37(5), pp.66–80. Available from: https://doi.org/10.33407/itlt.v37i5.903. DOI: https://doi.org/10.33407/itlt.v37i5.903

Smith, A., Bhogal, J. and Sharma, M., 2014. Cloud computing: Adoption considerations for business and education. 2014 international conference on future internet of things and cloud. pp.302–307. Available from: https://doi.org/10.1109/FiCloud.2014.54. DOI: https://doi.org/10.1109/FiCloud.2014.54

Tuholko, L., 2018. The development of constructive activity of students in the X-XI grades in teaching geometry. Ph.D. thesis. Belorus State University, Minsk.

Vakaliuk, T.A., Korotun, O.V. and Semerikov, S.O., 2020, in press. The selection of cloud services for ER-diagrams construction in IT specialists databases teaching. Ceur workshop proceedings. DOI: https://doi.org/10.31812/123456789/4371

Velychko, V.Y., Fedorenko, E.H., Kaidan, N.V., Soloviev, V.N. and Bondarenko, O.V., 2020, in press. The support of the process of training pre-service mathematics teachers by means of cloud services. Ceur workshop proceedings. DOI: https://doi.org/10.31812/123456789/4454

Vlasenko, K., Chumak, O., Bobyliev, D., Lovianova, I. and Sitak, I., 2020. Development of an online-course syllabus “Operations research oriented to cloud computing in the CoCalc system”. Ceur workshop proceedings, 2740, pp.278–291.

Volikova, M., Armash, T., Yechkalo, Y. and Zaselskiy, V., 2019. Practical use of cloud services for organization of future specialists professional training. Ceur workshop proceedings, 2433, pp.486–498. DOI: https://doi.org/10.55056/cte.408

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Published

2021-03-19

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Section

Cloud-based AI Education Applications

How to Cite

Drushlyak, M.G., Semenikhina, O.V., Proshkin, V.V., Kharchenko, S.Y. and Lukashova, T.D., 2021. Methodology of formation of modeling skills based on a constructive approach (on the example of GeoGebra). CTE Workshop Proceedings [Online], 8, pp.458–472. Available from: https://doi.org/10.55056/cte.300 [Accessed 18 January 2025].
Received 2020-10-27
Accepted 2020-12-18
Published 2021-03-19

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