EFFECTIVENESS OF INTEGRATING MATHEMATICS AND PHYSICS IN TEACHING THE “VECTORS” UNIT: DEVELOPING FUNCTIONAL LITERACY THROUGH SUBJECT INTEGRATION (PHYSICS, MATHEMATICS)

Authors

DOI:

https://doi.org/10.63034/esr-716

Keywords:

Vector, vector quantities, interdisciplinary connections, applications of vectors, analysis, functional literacy, “Board Journal” method

Abstract

In today’s educational landscape, developing students’ functional literacy is one of the most pressing tasks. This issue is also evident from the results of international PISA studies. In particular, in teaching physics, it is important for students to be able to apply their knowledge in real-life situations and to develop their logical and creative thinking skills. This article examines effective ways of applying “mathematics–physics” interdisciplinary connections in physics lessons. Through the concept of vector quantities, the interrelationship between the two subjects is revealed, and the role of vector algebra in solving physical problems is analyzed. The study describes the use of differentiated instruction, problem-based tasks, and digital platforms (PhET). Special attention is given to integrating students’ theoretical knowledge with practice and developing their skills in scientific communication. In the assessment process, self-assessment and peer assessment, the “Board Journal,” and analytical methods are applied, demonstrating a positive effect on students’ learning outcomes.

References

Aitbayev, S.T., Sumatokhin, S.V., Kitapbayeva, A.A., Seksenova, D.U., Atalikhova, G.B. (Almaty, 2023). Formative Assessment as a Tool for Monitoring Cross-Disciplinary Learning Outcomes in Schools. Bulletin of the National Academy of Sciences of the Republic of Kazakhstan, No. 6 (406), pp. 39–50.

Andaevа, Z., Elchieva, M.S., Dyushonaliev, N.S. (2024). Methods for Improving Energy Efficiency of Enterprise Power Supply. Internauka: Scientific Journal, No. 5(322), Part 2. Moscow: InterNauka, 72 p. (56 p.).

Apeeva, G.K., Aubakirov, T.U., Kozhakhmetova, G.B., et al. (2020). Mathematics. Part 1. Textbook for 9th grade, 4th edition. Nur-Sultan: Nazarbayev Intellectual Schools, 248 p.

Apeeva, G.K., Jampeisova, G.D., Kozhakhmetova, G.B., et al. (2020). Mathematics. Part 1: Teacher’s Guide. 9th grade, 4th edition. Nur-Sultan: Nazarbayev Intellectual Schools, 216 p.

Akishev, G. (2020). Estimates of Best Approximations of Nikol’skii–Besov Class Functions in Lorentz Space by Trigonometric Polynomials. Tr. Inst. Matematiki i Mekhaniki URO RAN, 26, pp. 5–27. https://doi.org/10.21538/0134-4889-2020-26-2-5-27

Dabyltaeva, S.E., Karibzhanova, A.K., Kalizhanova, U.S., et al. (2019). Physics: Teacher’s Guide (Sample Version) for grades 7–10. Nur-Sultan: Nazarbayev Intellectual Schools, 256 p.

Dosymov, E., Eser, S., Nurizinova, M., Edilbaev, E., Asanbek, B. (2019). Features of Using Digital Resources in Teaching Mechanics. Bulletin of the National Academy of Sciences of the Republic of Kazakhstan, No. 2(408), Almaty, p. 57.

Ermolenco, V.A., Perchenok, R.L., Chernoglazkin, S.Yu. (1999). Didactic Foundations of Functional Literacy in the Current Context: A Guide for Educators. Education and Pedagogy Theory. Moscow: ITOP RAO, 228 p.

Zhubankuzova, I.E., Sugurzhanova, G.A. (2024). Foundations of Integrating Physics and Information and Communication Technology Subjects in Preparing Future Teachers. Bulletin of the National Academy of Sciences of the Republic of Kazakhstan, No. 2(408), pp. 90–97.

Lamteva, A.V. (2023). Integration of the Microlearning Method into the General Education System: A New Approach to Education. Student Bulletin: Scientific Journal, No. 35 (274), Part 1. Moscow: InterNauka, 72 p., pp. 19–20.

Mathematics Curriculum for 9th Grade. (2018). Nazarbayev Intellectual Schools Educational Program – NIS Programme.

Nikitina, A.A. (2020). Interdisciplinary Connections of School Mathematics and Physics Courses. Molodoy Issledovatel: Challenges and Perspectives, Collection of Papers of the CLXX International Scientific-Practical Conference, No. 23 (170), Moscow: InterNauka, pp. 171–174.

Rustemova, Zh.Zh., Kuneva, K.E. (2021). Effective Ways to Integrate Assessment of Writing and Reading Skills in the Kazakh Language Subject. V–VI International Multidisciplinary Conference “Innovations and Tendencies of State-of-Art Science.” Proceedings. Rotterdam, Netherlands: Mijnbestseller Nederland, pp. 11–13.

Ukhabina, E.A. (2023). Interdisciplinary Connections of Mathematics and Physics. International Scientific Journal “Young Scientist,” No. 18 (465), 253 p.

Natterer, F. (1986). The Tomography. New York: John Wiley & Sons.

Derevtsov, E.Yu. (2008). Some Approaches to Reconstruction of a Singular Support of Scalar, Vector, and Tensor Fields Using Known Tomographic Data. Siberian Electronic Mathematical Reports, 5, pp. 632–646.

https://bilimland.kz/kk/subject/geometriya/9-synyp-beyimdi-oqytu/vektorlardy-esepter-shyharuda-qoldanu--14031?mid=%info%

https://cyberleninka.ru/article/n/aktualnost-ispolzovaniya-mezhpredmetnyh-svyazey-v-kursah-matematiki-i-fiziki-v-sredney-shkole

https://phet.colorado.edu/sims/html/vector-addition/latest/vector-addition_en.html

https://smartustaz.kz/storage/admin/uploads/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C%203_%D0%A2%D0%B0%D2%9B%D1%8B%D1%80%D1%8B%D0%BF%204.pptx

Downloads

Published

2026-02-17

How to Cite

Kushekova , B., & Esentaeva , J. (2026). EFFECTIVENESS OF INTEGRATING MATHEMATICS AND PHYSICS IN TEACHING THE “VECTORS” UNIT: DEVELOPING FUNCTIONAL LITERACY THROUGH SUBJECT INTEGRATION (PHYSICS, MATHEMATICS). Eurasian Science Review An International Peer-Reviewed Multidisciplinary Journal, 5(1), 724–732. https://doi.org/10.63034/esr-716