THE EFFECT OF PROBLEM-SOLVING STRATEGIES IN MATHEMATICS TEACHING ON THE DEVELOPMENT OF CRITICAL AND CREATIVE THINKING

Authors

Keywords:

problem-solving strategies, critical thinking, creative thinking, mathematical creativity, computational thinking

Abstract

Problem-solving strategies in mathematics teaching serve not only to answer tasks correctly but also to develop students’ critical and creative thinking. Although the traditional algorithmic approach teaches students to apply ready-made rules, non-routine and contextual problems encourage them to think from different perspectives, formulate hypotheses, and justify their choices. Developing critical thinking requires opportunities for independent decision-making, argumentation, error analysis, and comparison of solution paths. However, mechanical application of strategies may limit creativity; therefore, open-ended tasks, real-life situations, modelling, problem posing, discussion, and multiple representations should be used. Procedural schemes and algorithms should not replace thinking but should support understanding and strategy selection. In the context of vocational secondary education, the article substantiates the pedagogical potential of a balanced problem-solving environment that combines critical evaluation with creative exploration.

References

Alfayez, M. Q. E., Aladwan, S. Q. A., & Shaheen, H. R. A. (2022). The effect of a training program based on mathematical problem-solving strategies on critical thinking among seventh-grade students. Frontiers in Education, 7, Article 870524. https://doi.org/10.3389/feduc.2022.870524

Bicer, A. (2021). Multiple representations and mathematical creativity. Thinking Skills and Creativity, 42, Article 100960. https://doi.org/10.1016/j.tsc.2021.100960

Bicer, A., Aleksani, H., Butler, C., Jackson, T., Smith, T. D., & Bostick, M. (2024). Mathematical creativity in upper elementary school mathematics curricula. Thinking Skills and Creativity, 51, Article 101462. https://doi.org/10.1016/j.tsc.2024.101462

Chinofunga, M. D., Chigeza, P., & Taylor, S. (2025). How can procedural flowcharts support the development of mathematics problem-solving skills? Mathematics Education Research Journal, 37, 85–123. https://doi.org/10.1007/s13394-024-00483-3

English, L. D. (2023). Ways of thinking in STEM-based problem solving. ZDM–Mathematics Education, 55, 1219–1230. https://doi.org/10.1007/s11858-023-01474-7

Foster, C. (2023). Problem solving in the mathematics curriculum: From domain-general strategies to domain-specific tactics. The Curriculum Journal, 34(4), 594–612. https://doi.org/10.1002/curj.213

Hansen, E. K. S. (2022). Students’ agency, creative reasoning, and collaboration in mathematical problem solving. Mathematics Education Research Journal, 34, 813–834. https://doi.org/10.1007/s13394-021-00365-y

Hu, L., & Wang, H. (2024). Unplugged activities in the elementary school mathematics classroom: The effects on students’ computational thinking and mathematical creativity. Thinking Skills and Creativity, 54, Article 101653. https://doi.org/10.1016/j.tsc.2024.101653

Kholid, M. N., Mahmudah, M. H., Ishartono, N., Putra, F. G., & Forthmann, B. (2024). Classification of students’ creative thinking for non-routine mathematical problems. Cogent Education, 11(1), Article 2394738. https://doi.org/10.1080/2331186X.2024.2394738

Nordby, S. K., Bjerke, A. H., & Mifsud, L. (2022). Computational thinking in the primary mathematics classroom: A systematic review. Digital Experiences in Mathematics Education, 8, 27–49. https://doi.org/10.1007/s40751-022-00102-5

Norqvist, M., Jonsson, B., & Lithner, J. (2025). Shifts in student attention on algorithmic and creative practice tasks. Educational Studies in Mathematics, 118, 409–428. https://doi.org/10.1007/s10649-023-10250-z

Rahmasari, S. M., Prabowo, A., Zaenuri, & Waluya, B. (2023). Improving students’ mathematical critical thinking abilities: A systematic literature review. Contemporary Educational Researches Journal, 13(4), 288–305. https://doi.org/10.18844/cerj.v13i4.9257

Sadak, M., İncikabı, L., Ulusoy, F., & Pektas, M. (2022). Investigating mathematical creativity through the connection between creative abilities in problem posing and problem solving. Thinking Skills and Creativity, 45, Article 101108. https://doi.org/10.1016/j.tsc.2022.101108

Santos-Trigo, M. (2024). Problem solving in mathematics education: Tracing its foundations and current research-practice trends. ZDM–Mathematics Education, 56, 211–222. https://doi.org/10.1007/s11858-024-01578-8

Turan, M., Sengil-Akar, S., & Saygı, E. (2025). Fostering mathematical creativity: A case study of middle school teachers’ classroom practices. Thinking Skills and Creativity, 57, Article 101848. https://doi.org/10.1016/j.tsc.2025.101848

Ye, H., Liang, B., Ng, O.-L., & Chai, C. S. (2023). Integration of computational thinking in K–12 mathematics education: A systematic review on CT-based mathematics instruction and student learning. International Journal of STEM Education, 10, Article 3. https://doi.org/10.1186/s40594-023-00396-w

Published

2026-10-16

How to Cite

THE EFFECT OF PROBLEM-SOLVING STRATEGIES IN MATHEMATICS TEACHING ON THE DEVELOPMENT OF CRITICAL AND CREATIVE THINKING. (2026). Horizon Multidisciplinary Scientific Journal, 1(7). https://horizonmsj.com/index.php/hmsjournal/article/view/121

Similar Articles

1-10 of 16

You may also start an advanced similarity search for this article.