STEM-iнтеграцiя теореми Пiфагора та її узагальнень на основi програмування в R та Python
DOI:
https://doi.org/10.63437/3083-6433-2025-2(35)-13Ключові слова:
STEM-освіта, теорема Піфагора, інноваційні методи навчанняАнотація
Статтю присвячено дослідженню інтеграції теореми Піфагора та її узагальнень у STEM-освіту через використання сучасних технологій програмування. Проаналізовано сучасні тенденції впровадження інноваційних методів викладання математики, зокрема застосування гейміфікації, інформаційно-комунікаційних технологій і мобільних додатків. Розроблено методичне підґрунтя для створення серії мініпроєктів, що поєднують історико-математичний контекст із програмними засобами R і Python.
Кількість завантажень статті
Посилання
Використані літературні джерела
1. Кудінов М. Піфагор архітектор числового порядку: гармонія сфер і математика прямокутних трикутників. Zenodo. 2025. DOI: https://doi.org/10.5281/zenodo.17100433.
2. Deshpande D. S., Riccomini P. J., Hughes E. M., Raulston T. J. Problem solving with the Pythagorean theorem: A think aloud analysis of secondary students with learning disabilities. Learning Disabilities. 2021. Vol. 19, No. 1. P. 23-47. URL: https://www.scopus.com/inward/record.uri?eid=s2.0-85123622269.
3. Escobar S. V., Tulcanaza V. A., Mediavilla L. J., Reyes F. G., Castro O. L., Benavides X. R. Gamification as a didactic tool in the teaching of the Pythagorean theorem. Technology, Sustainability and Educational Innovation (TSIE). 2020. P. 189-200. DOI: https://doi.org/10.1007/978-3-030-37221-7_15.
4. Fachrudin A. D., et al. Ancient China history-based task to support students’ geometrical reasoning and mathematical literacy in learning Pythagoras. Journal of Physics: Conference Series. 2019. Vol. 1417. P. 012042. DOI: https://doi.org/10.1088/1742-6596/1417/1/012042.
5. He X., et al. The impact of STEM education on mathematical development in children aged 5-6 years. International Journal of Educational Research. 2021. Vol. 109. P. 101795. DOI: https://doi.org/10.1016/j.ijer.2021.101795.
6. Horvath A., Farkas G. Challenges in STEM teaching at engineering education. Lecture Notes in Mechanical Engineering. 2025. P. 199-211. DOI: https://doi.org/10.1007/978-3-031-83583-4_14.
7. MD-Ali R., Mui Kim K. GeoGebra in learning of mathematics towards supporting STEM education. The Journal of Social Sciences Research. 2018. SPI6. P. 776-782. DOI: https://doi.org/10.32861/jssr.spi6.776.782.
8. Metikasari S., Mardiyana, Triyanto. Mathematics learning disabilities of the slow learner students on Pythagorean theorem. Journal of Physics: Conference Series. 2019. Vol. 1321. P. 022120. DOI: https://doi.org/10.1088/1742-6596/1321/2/022120.
9. Nugraha H. C., Rusmin P. H. Educational game design on Pythagorean theorem for game-based learning using 6i’s component. 2015 4th International Conference on Interactive Digital Media (ICIDM). Bandung. 2015. P. 1-5. DOI: https://doi.org/10.1109/IDM.2015.7516330.
10. Nurwita F., Kusumah Y. S., Juandi D. Developing learning media based on Android application for improving math problem-solving skill of junior high school students on Pythagorean theorem. AIP Conference Proceedings. 2023. Vol. 2734, No. 1. Article 090059. DOI: https://doi.org/10.1063/5.0163595.
11. Wasserman N. H., Rossi D. Mathematics and science teachers’ use of and confidence in empirical reasoning: Implications for STEM teacher preparation. School Science and Mathematics. 2015. Vol. 115, No. 1. P. 22-34. DOI: https://doi.org/10.1111/ssm.12099.
12. Wijayanti P., Hidayanti A. N. Proving the Pythagorean theorem to junior high school students through the Asian method. Journal of Physics: Conference Series. 2019. Vol. 1417. P. 012060. DOI: https://doi.org/10.1088/1742-6596/1417/1/012060.
References
1. Kudinov, M. (2025). Pifagor arkhitektor chyslovoho poriadku: harmoniia sfer i matematyka priamokutnykh trykutnykiv [Pythagoras as the architect of numerical order: Harmony of the spheres and the mathematics of right triangles]. Zenodo. DOI: https://doi.org/10.5281/zenodo.17100433. [in Ukrainian].
2. Deshpande, D. S., Riccomini, P. J., Hughes, E. M., & Raulston, T. J. (2021). Problem solving with the Pythagorean theorem: A think aloud analysis of secondary students with learning disabilities. Learning Disabilities, 19(1), 23-47. Retrieved from: https://www.scopus.com/inward/record.uri?eid=s2.0-85123622269.
3. Escobar, S. V., Tulcanaza, V. A., Mediavilla, L. J., Reyes, F. G., Castro, O. L., & Benavides, X. R. (2020). Gamification as a didactic tool in the teaching of the Pythagorean theorem. Technology, Sustainability and Educational Innovation (TSIE), 189-200. DOI: https://doi.org/10.1007/978-3-030-37221-7_15.
4. Fachrudin, A. D., et al. (2019). Ancient China history-based task to support students’ geometrical reasoning and mathematical literacy in learning Pythagoras. Journal of Physics: Conference Series, 1417, 012042. DOI: https://doi.org/10.1088/1742-6596/1417/1/012042.
5. He, X., et al. (2021). The impact of STEM education on mathematical development in children aged 5–6 years. International Journal of Educational Research, 109, 101795. DOI: https://doi.org/10.1016/j.ijer.2021.101795.
6. Horvath, A., & Farkas, G. (2025). Challenges in STEM teaching at engineering education. Lecture Notes in Mechanical Engineering, 199-211. DOI: https://doi.org/10.1007/978-3-031-83583-4_14.
7. MD-Ali, R., & Mui Kim, K. (2018). GeoGebra in learning of mathematics towards supporting STEM education. The Journal of Social Sciences Research, SPI6, 776-782. DOI: https://doi.org/10.32861/jssr.spi6.776.782.
8. Metikasari, S., Mardiyana, & Triyanto. (2019). Mathematics learning disabilities of the slow learner students on Pythagorean theorem. Journal of Physics: Conference Series, 1321, 022120. DOI: https://doi.org/10.1088/1742-6596/1321/2/022120.
9. Nugraha, H. C., & Rusmin, P. H. (2015). Educational game design on Pythagorean theorem for game-based learning using 6i’s component. 2015 4th International Conference on Interactive Digital Media (ICIDM), Bandung, Indonesia, 1-5. DOI: 10.1109/IDM.2015.7516330.
10. Nurwita, F., Kusumah, Y. S., & Juandi, D. (2023). Developing learning media based on Android application for improving math problem-solving skill of junior high school students on Pythagorean theorem. AIP Conference Proceedings, 2734(1), Article 090059. DOI: https://doi.org/10.1063/5.0163595.
11. Wasserman, N. H., & Rossi, D. (2015). Mathematics and science teachers’ use of and confidence in empirical reasoning: Implications for STEM teacher preparation. School Science and Mathematics, 115(1), 22-34. DOI: https://doi.org/10.1111/ssm.12099.
12. Wijayanti, P., & Hidayanti, A. N. (2019). Proving the Pythagorean theorem to junior high school students through the Asian method. Journal of Physics: Conference Series, 1417, 012060. DOI: https://doi.org/10.1088/1742-6596/1417/1/012060.
