THE ROLE OF INTEGRATIVE CONTENT TASKS IN THE IMPLEMENTATION OF THE CONTINUITY PRINCIPLE IN TEACHING MATHEMATICS USING ICT
DOI:
https://doi.org/10.35433/pedagogy.1(116).2024.13Keywords:
integrative approach, continuity of teaching mathematics, mathematical problem, information technologies, enlargement of didactic unitsAbstract
The purpose of the research is the determination of the role of tasks of integrative content in the implementation of the continuity principle in teaching mathematics. During the research, we used the following methods: analysis of school mathematics curricula and educational programs for training future mathematics teachers, search, and analysis of relevant problems with further formation of problems with integrative content based on them; generalization of own and advanced pedagogical experience regarding the application of computer mathematics systems in the educational process of secondary and higher schools. As a result of the research, the following conclusions were made: the use of problems of integrative content provides an opportunity to form integrated images of mathematical material, as well as to consolidate mathematical objects, the use (by subjects of training) of scientific methods of cognition – observation, analogy, analysis, synthesis, comparison. This approach was implemented from the point of view of the integration of teaching methods, such as the method of addition, the technology of enlargement of didactic units, and the method of contrast. And also, from the point of view of teaching aids, the use of graphic illustrations, information and communication technologies, schemes, and algorithms of analytical statements. This practice ensures the formation of generalized mathematical skills and, as a result, the formation of integrative mathematical abilities and beliefs based on them, which will enable the implementation of the continuity principle in the study of mathematics between different branches of education. It is possible only with an in-depth study of specific mathematical problems and under the condition of using a heuristic approach to learning with the using ICT tools.
References
Birgin, O., & Uzun Yazıcı, K. (2021). The effect of GeoGebra software – supported mathematics instruction on eighth‐grade students' conceptual understanding and retention. Journal of Computer Assisted Learning, 37(4), 925-939. Retrieved from: https://doi.org/10.1111/jcal.12532 [in English].
Botuzova, Y.V. (2020). Factors of Providing the Continuity of Teaching Mathematics During Transition from High School to University. Universal Journal of Educational Research, 8(3), 857-865. Retrieved from: https://doi.org/10.13189/ujer.2020.080316 [in English].
Gogovska, V., & Malcheski, R. (2012). Improvement of Intra-disciplinary Integration of Mathematics Instruction. Procedia-Social and Behavioral Sciences, 46, 5420-5424. Retrieved from: https://doi.org/10.1016/j.sbspro.2012.06.450 [in English].
Cotič, N., Cotič, M., Felda, D., & Krmac, N. (2021). The effect of cross-curricular integration on pupils’ knowledge gained through experiential learning. Cypriot Journal of Educational Science, 16(6), 3133-3146. Retrieved from: https://doi.org/10.18844/cjes.v16i6.6512 [in English].
Pinkernell, G., Diego-Mantecón, J.M., Lavicza, Z., & Sangwin, C. (2023). AuthOMath: Combining the Strengths of STACK and GeoGebra for School and Academic Mathematics, JET, vol. 18, № 03, 201-204. Retrieved from: https://doi.org/10.3991/ijet.v18i03.36535 [in English].
Kramarski, B., & Hirsch, C. (2003). Using computer algebra systems in mathematical classrooms. Journal of Computer Assisted Learning, 19, 35-45. Retrieved from: https://doi.org/10.1046/j.0266-4909.2003.00004.x [in English].
Pope, D. (2023). Using Desmos and GeoGebra to Engage Students and Develop Conceptual Understanding of Mathematics. Technology Integration and Transformation in STEM Classrooms. Hershey, PA: IGI Global, 104-129. Retrieved from: https://doi.org/10.4018/978-1-6684-5920-1.ch006 [in English].
Rizhniak, R., Pasichnyk, N., Zavitrenko, D., Akbash, K., & Zavitrenko, A. (2021). The Implementation of an Integrative Approach to Learning with Use of Integrated Images. Revista Romaneasca Pentru Educatie Multidimensionala, 13(1), 281-297. Retrieved from: https://doi.org/10.18662/rrem/13.1/373 [in English].
Treacy, P., & O’Donoghue, J. (2013). Authentic Integration: a model for integrating mathematics and science in the classroom. International Journal of Mathematical Education in Science and Technology, 703-718. Retrieved from: https://doi.org/10.1080/0020739X.2013.868543 [in English].
Botuzova, Y.V., Nichyshyna, V.V., & Rizhniak, R.Y. (2022). Nastupnist metodiv navchannia rozviazuvannia matematychnykh zadach u shkoli ta zakladi vyshchoi osvity: kontekst intehratyvnoho pidkhodu [Continuity of teaching methods for solving mathematical problems in schools and university: the context of the integrative approach]. Fizyko-matematychna osvita – Physical and Mathematical Education, 36(4), 16-25. Retrieved from: https://doi.org/10.31110/2413-1571-2022-036-4-002 [in Ukrainian].
Honcharenko, S.U. (1997). Ukrayinsʹkyy pedahohichnyy slovnyk [Ukrainian pedagogical dictionary]. Kyiv: Lybid [in Ukrainian].
Gordiychuk, G.B. 2006. Pedahohichni umovy zabezpechennya neperervnosti vyvchennya pryrodnycho-matematychnykh dystsyplin u zahalʹnoosvitnikh shkolakh i profesiyno-tekhnichnykh uchylyshchakh [Pedagogical conditions for ensuring the continuity of the study of natural and mathematical disciplines in secondary schools and vocational and technical schools]. Candidate`s thesis. Vinnitsa: VDPU named after M. Kotsyubynskyi [in Ukrainian].
Didovik, M.V. (2007). Neperervnistʹ fizyko-matematychnoyi pidhotovky v litseyakh ta vyshchykh navchalʹnykh zakladah III-II rivniv akredytatsiyi [Continuity of physical and mathematical training in lyceums and higher educational institutions of III-II levels of accreditation]. Candidate`s thesis. Vinnitsa: VDPU named after M. Kotsyubynskyi [in Ukrainian].
Kushnir, V.A., & Rizhnyak, R.Ya. (2011). Intehratyvnyy obraz yak forma realizatsiyi intehratyvnoho pidkhodu v osviti [Integrative image as a form of implementing an integrative approach in education]. Zbirnyk pratsʹ. Seriya: Pedahohichni nauky – Proceedings. Series: Pedagogical sciences. Kirovohrad: RVV KDPU named after V. Vinnichenko, issue 99 [in Ukrainian].
Nastupnistʹ u navchanni matematyky v konteksti reformuvannya zahalʹnoyi serednʹoyi osvity: realiyi ta perspektyvy [Continuity in the teaching of mathematics in the context of the reform of general secondary education: realities and prospects]. (2019). Odesa, 201-203 [in Ukrainian].
Natsionalʹna doktryna rozvytku osvity [National doctrine of educational development]. President of Ukraine. Decree No. 347/2002 of April 17, 2002. Retrieved from: https://zakon.rada.gov.ua/laws/show/347/2002#Text [in Ukrainian].
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