The role of interactive learning in mathematics education: fostering student engagement and interest

Liudmyla Hetmanenko

doi:10.31893/multiscience.2024ss0733

Keywords:

active learning

mathematics

interest in the subject

educational process

stimulation of interest

critical thinking

Abstract

This article examines the role of active learning in mathematics and its impact on stimulating students' interest in the subject. It analyses contemporary methods of active learning, such as group projects, discussions, and problem-based tasks, and considers their applicability in teaching mathematics. The article discusses different methods of stimulating students' interest in mathematics, including the use of practical examples, interactive teaching methods, and support for independent research. Based on the analysis conducted, recommendations are provided for creating a learning environment that fosters the maximum development of students' interest in mathematics and enhances the effectiveness of their learning. The article highlights the significance of contemporary teaching methods in mathematics. These methods concentrate on fundamental mathematical concepts and foster critical thinking, communication skills, and independent research skills. The article discusses the importance of studying formal geometry in mathematical education and proposes original methods for solving classical and authorial problems based on new dependencies that were previously unknown. In conclusion, the article highlights that active learning is a crucial component of successful mathematics education. It promotes not only the assimilation of material but also the development of skills necessary for successful adaptation and application of knowledge in various life spheres and careers.
References
1. Burns, M., & Ostfeld, D. (2020). Active learning in mathematics: Creating engaging learning environments. Columbia University Press.
2. Burns, M., & Ostfeld, D. (2020). Active Learning Strategies in Mathematics Education. Journal of Mathematics Education, 45(2), 112-125.
3. Davis, V., Reddy, D., & Lowy, K. (2020). Active Learning Pedagogies in Higher Mathematics Education. Journal of Mathematical Pedagogy, 20(1), 45-58.
4. Dubrovin, B.A., Novikov, B.A., Fomenko, A.T. (1986). Modern geometry: methods and applications. Nauka, 320 p.
5. Fomin, S.V., Shafarevych, Y.R. (1986). Problems of higher algebra and geometry. Nauka, 368 p.
6. Frank, M., Maxwell, D., & Carbon, G. (2021). Active learning in mathematics: Applications and methods. Routledge.
7. Frank, M., Maxwell, D., & Carbon, G. (2021). Implementing Active Learning Techniques in the Mathematics Classroom. Mathematics Teaching Strategies Quarterly, 30(3), 175-189.
8. Hartshorne, R. (1999). Algebraic geometry, 496 p.
9. Herndon, L., & Weiss, S. (2021). Creating Interactive Mathematics Classrooms: Strategies for Engaging Students. Mathematics Education Research Journal, 33(2), 87-102.
10. Holubiev, V.V., Kondratenko, V.S. (1983). Elementary Geometry. Kyiv: Higher School, 272 p.
11. Iatsyshyn, A., Iatsyshyn, A., Kovach, V., Radchenko, O., Turevych, A. (2020). Application of open and specialized geoinformation systems for computer modelling studying by students and PhD students. CEUR Workshop Proceedings, 2732, 893-908.
12. Johnson, J. (2020). Enhancing Student Learning Through Active Learning Methods in Mathematics. International Journal of Mathematical Education in Science and Technology, 51(3), 345-358.
13. Khimich, O.P., Chornobai, V.V. (2017). Collection of problems in mathematics. Kyiv: Genesis, 224 p.
14. Kostriuk, A.H., Kramer, N.A. (1981).Vectors and Tensors in Physical and Geometric Space. Kyiv: Naukova Dumka, 304 p.
15. Kostrykin, A.I., Manyn, Yu.Y. (1986). Linear Algebra and Geometry. Nauka, 432 p.
16. Kovalchuk, T.M., Maksymiuk, O.H. (2017). Collection of problems in geometry for grades 10-11. Kyiv: Osvita, 240 p.
17. Kushnir, I.A. (1991). Triangle and tetrahedron in problems. Kyiv, 208 p.
18. Kushnir, I.A., Kushnir, T. (1991). Triangle and tetrahedron in tasks. Kyiv: Soviet School, 208 p.
19. Levin, J., & Wilson, J. (2022). Student Engagement and Achievement in Mathematics: The Role of Active Learning. Journal of Educational Psychology, 115(2), 89-104.
20. Ly, P. (1980). Geometry and Lie groups, 448 p.
21. Mamontov, Yu.I., Sydorenko, S.I. (1988). Theory and Problems in Algebra and Beginnings of Analysis. Kyiv: Higher School, 352 p.
22. Mamontov, Yu.I., Sydorenko, S.I. (1989). Theory and Problems in Geometry. Kyiv: Vysha Shkola, 352 p.
23. Martin, D., & Griffin, S. (2022). Active Learning Techniques for Developing Critical Thinking Skills in Mathematics. Journal of Critical Mathematics Education, 15(2), 112-127.
24. Milnor, J. (1984). Topology from a geometric point of view, 332 p.
25. Morris, D., & Fitzgerald, S. (2020). Active Learning Strategies for Fostering Mathematical Thinking in Students. Mathematics Education Review, 25(3), 211-225.
26. Peterson, I.N. (1999). Geometry. Textbook for 10th grade. Kyiv: Pedagogichna Dumka, 272 p.
27. Petrov, V.K. (2016). Geometry. Problems with solutions for grades 10-11. Kyiv: Genesis, 256 p.
28. Popov, O. O., Kyrylenko, Y. O., Kameneva, I. P., Iatsyshyn, A. V., Iatsyshyn, A. V., Kovach, V. O., Kiv, A. E. (2022). The use of specialized software for liquid radioactive material spills simulation to teach students and postgraduate students. Paper presented at the CEUR Workshop Proceedings, 3085, 306-322.
29. Robinson, D. A., & Elinbee, D. M. (2022). The Impact of Active Learning on Student Engagement and Achievement in College Mathematics. Journal of Higher Education Mathematics, 38(4), 289-304.
30. Semenova, T.H., Shvab, A.M. (2018). Geometry. 10th grade: Textbook for secondary schools. Kyiv: Osvita, 320 p.
31. Serhiienko, I.V. (1988). Functional analysis: Linear Operators in Hilbert Spaces. Kyiv: Vysha Shkola, 336 p.
32. Skiba, R.V. (2018). Geometry. Textbook for the 10th grade of secondary schools. Kyiv: Genesis, 352 p.
33. Sokolov, O.V., Yashchenko, M.S. (2018). Geometry. Collection of problems for. Kyiv: Osvita, 192 p.
34. Tracy, D., & Shellenberg, S. (2021). Active Learning Approaches to Improve Student Success in Mathematics. Journal of College Mathematics Instruction, 28(4), 245-259.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to cite

Hetmanenko, L. (2024). The role of interactive learning in mathematics education: fostering student engagement and interest. Multidisciplinary Science Journal, 6, 2024ss0733. https://doi.org/10.31893/multiscience.2024ss0733

[1] Burns, M., & Ostfeld, D. (2020). Active learning in mathematics: Creating engaging learning environments. Columbia University Press.

[2] Burns, M., & Ostfeld, D. (2020). Active Learning Strategies in Mathematics Education. Journal of Mathematics Education, 45(2), 112-125.

[3] Davis, V., Reddy, D., & Lowy, K. (2020). Active Learning Pedagogies in Higher Mathematics Education. Journal of Mathematical Pedagogy, 20(1), 45-58.

[4] Dubrovin, B.A., Novikov, B.A., Fomenko, A.T. (1986). Modern geometry: methods and applications. Nauka, 320 p.

[5] Fomin, S.V., Shafarevych, Y.R. (1986). Problems of higher algebra and geometry. Nauka, 368 p.

[6] Frank, M., Maxwell, D., & Carbon, G. (2021). Active learning in mathematics: Applications and methods. Routledge.

[7] Frank, M., Maxwell, D., & Carbon, G. (2021). Implementing Active Learning Techniques in the Mathematics Classroom. Mathematics Teaching Strategies Quarterly, 30(3), 175-189.

[8] Hartshorne, R. (1999). Algebraic geometry, 496 p.

[9] Herndon, L., & Weiss, S. (2021). Creating Interactive Mathematics Classrooms: Strategies for Engaging Students. Mathematics Education Research Journal, 33(2), 87-102.

[10] Holubiev, V.V., Kondratenko, V.S. (1983). Elementary Geometry. Kyiv: Higher School, 272 p.

[11] Iatsyshyn, A., Iatsyshyn, A., Kovach, V., Radchenko, O., Turevych, A. (2020). Application of open and specialized geoinformation systems for computer modelling studying by students and PhD students. CEUR Workshop Proceedings, 2732, 893-908.

[12] Johnson, J. (2020). Enhancing Student Learning Through Active Learning Methods in Mathematics. International Journal of Mathematical Education in Science and Technology, 51(3), 345-358.

[13] Khimich, O.P., Chornobai, V.V. (2017). Collection of problems in mathematics. Kyiv: Genesis, 224 p.

[14] Kostriuk, A.H., Kramer, N.A. (1981).Vectors and Tensors in Physical and Geometric Space. Kyiv: Naukova Dumka, 304 p.

[15] Kostrykin, A.I., Manyn, Yu.Y. (1986). Linear Algebra and Geometry. Nauka, 432 p.

[16] Kovalchuk, T.M., Maksymiuk, O.H. (2017). Collection of problems in geometry for grades 10-11. Kyiv: Osvita, 240 p.

[17] Kushnir, I.A. (1991). Triangle and tetrahedron in problems. Kyiv, 208 p.

[18] Kushnir, I.A., Kushnir, T. (1991). Triangle and tetrahedron in tasks. Kyiv: Soviet School, 208 p.

[19] Levin, J., & Wilson, J. (2022). Student Engagement and Achievement in Mathematics: The Role of Active Learning. Journal of Educational Psychology, 115(2), 89-104.

[20] Ly, P. (1980). Geometry and Lie groups, 448 p.

[21] Mamontov, Yu.I., Sydorenko, S.I. (1988). Theory and Problems in Algebra and Beginnings of Analysis. Kyiv: Higher School, 352 p.

[22] Mamontov, Yu.I., Sydorenko, S.I. (1989). Theory and Problems in Geometry. Kyiv: Vysha Shkola, 352 p.

[23] Martin, D., & Griffin, S. (2022). Active Learning Techniques for Developing Critical Thinking Skills in Mathematics. Journal of Critical Mathematics Education, 15(2), 112-127.

[24] Milnor, J. (1984). Topology from a geometric point of view, 332 p.

[25] Morris, D., & Fitzgerald, S. (2020). Active Learning Strategies for Fostering Mathematical Thinking in Students. Mathematics Education Review, 25(3), 211-225.

[26] Peterson, I.N. (1999). Geometry. Textbook for 10th grade. Kyiv: Pedagogichna Dumka, 272 p.

[27] Petrov, V.K. (2016). Geometry. Problems with solutions for grades 10-11. Kyiv: Genesis, 256 p.

[28] Popov, O. O., Kyrylenko, Y. O., Kameneva, I. P., Iatsyshyn, A. V., Iatsyshyn, A. V., Kovach, V. O., Kiv, A. E. (2022). The use of specialized software for liquid radioactive material spills simulation to teach students and postgraduate students. Paper presented at the CEUR Workshop Proceedings, 3085, 306-322.

[29] Robinson, D. A., & Elinbee, D. M. (2022). The Impact of Active Learning on Student Engagement and Achievement in College Mathematics. Journal of Higher Education Mathematics, 38(4), 289-304.

[30] Semenova, T.H., Shvab, A.M. (2018). Geometry. 10th grade: Textbook for secondary schools. Kyiv: Osvita, 320 p.

[31] Serhiienko, I.V. (1988). Functional analysis: Linear Operators in Hilbert Spaces. Kyiv: Vysha Shkola, 336 p.

[32] Skiba, R.V. (2018). Geometry. Textbook for the 10th grade of secondary schools. Kyiv: Genesis, 352 p.

[33] Sokolov, O.V., Yashchenko, M.S. (2018). Geometry. Collection of problems for. Kyiv: Osvita, 192 p.

[34] Tracy, D., & Shellenberg, S. (2021). Active Learning Approaches to Improve Student Success in Mathematics. Journal of College Mathematics Instruction, 28(4), 245-259.

Abstract

References

How to cite