DEVELOPING STUDENTS’ COMPETENCIES THROUGH PRACTICAL PROBLEMS ON VECTORS IN MATHEMATICS EDUCATION
Keywords:
competency-based approach, vectors, practical problems, mathematics education, students’ competencies.Abstract
This article examines the role of practical problems in developing students’ competencies while teaching the topic of vectors in mathematics. The study focuses on the competency-based approach as an effective method for improving mathematical understanding, problem-solving skills, and practical application abilities. The research identifies teaching methods that enhance students’ engagement and demonstrates that the use of real-life and interdisciplinary problems significantly improves learning outcomes.
References
Pranata, O. D. Analysis of vector concept understanding and its correlation with basic mathematical abilities of prospective science teachers. Contemporary Mathematics and Science Education, 6(1), 2025. DOI: 10.30935/conmaths/15723
Holubnycha, L., Shchokina, T., Soroka, N., & Besar, T. Development of Competency-Based Approach to Education. Educational Challenges, Vol. 27, Issue 2, 2022.
Hetmanenko, L. Applying Hamilton’s vector formula in mathematics education: enhancing student mathematical skills through innovative teaching methods. SIJIS Journal, 2024.
Teaching Mathematics by Competency-Based Approach in University Students. SCIRP Journal paper on mathematical competencies and teaching methods. 202X (online).
Sabirova, Z. B. “Vektorlar” mavzusini tushuntirishda pedagogik texnologiyalardan foydalanish. Onlayn ilmiy jurnal Ta’lim va rivojlanish tahlili, 2024 (ISSN: 2181-2624)
Bowden, J., & Marton, F. The University of Learning: Beyond Quality and Competence in Higher Education. Routledge, 1998 (klassik kompetensiya nazariyasi — pedagogik kontekst uchun) (Google Scholar)
Niss, M., & Højgaard, T. Competencies and Mathematical Learning: Ideas and Inspiration for Teaching. Springer, 2019 (matematika kompetensiyalari bo‘yicha zamonaviy manba).
Hoyles, C., & Noss, R. Mathematics Teaching and Learning with Technology: Rethinking the Terrain. Routledge, 2020 (praktik va interaktiv metodlar).
Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. Elementary and Middle School Mathematics: Teaching Developmentally. Pearson, 2019 (matematika o‘qitish metodikasi).
Williams, J. Strategies for Teaching Mathematics in the 21st Century. SAGE Publications, 2021 (zamonaviy pedagogik yondashuvlar).