The influence of students’ engagement in mathematical problem solving activities

Authors

DOI:

https://doi.org/10.38140/ijer-2025.vol7.1.24

Keywords:

Students’ engagement, factor analysis, mathematics problem-solving, students’ performance, sustainability

Abstract

The ability to retain and sustain students’ engagement in mathematics is crucial for fostering a lifelong interest in a subject that often turns students off. Problem-solving techniques are dynamic, particularly when integrated into teaching and learning in mathe­matics. This study evaluated how engaging students in mathematical problem-solving activities influenced their performance and learning outcomes in the subject. To achieve the set objectives, three hundred grade-eight students from twelve schools across Abuja, Nigeria, were sampled and analysed. The analyses included de­scriptive statistics, factor analysis for grouping prob­lem-solving activities into distinct categories, and Pear­son's correlation coefficient. The results showed that in­creased engagement in research-based problem-solving activities correlated with enhanced student perfor­mance across three key areas of achievement: knowledge, comprehension, and application. There­fore, the study recommends that students should be equipped with activities, facilities, and opportunities that will enhance their problem-solving skills in mathe­matics.

References

Adesina, O. S., Obokoh, L. O., & Salami, O. O. (2024). Does the high school external examination grades and the type of high school attended impact the academic performance of freshmen university students? STEM Education, 4(4), 328–345. https://doi.org/10.3934/steme.2024019

Awoniyi, F. C., & Butakor, P. K. (2021). The role of teacher-student relationship on performance in mathematics of the eleventh graders in the Cape Coast metropolis: Critical friendship perspective. Cogent Education, 8(1), 1-23. https://doi.org/10.1080/2331186x.2021.1908690

Brown, L., Barbara, C., Rebecca, C., Olga B., & Zorina, S. G. (2023). Next steps: Operationalising resilience research. Stress and Health, 39(1), 62–66. https://doi.org/10.1002/smi.3256

Canonigo, A. M., & Joaquin, M. N. B. (2023). Teacher positioning, student mathematics identity and the mediating effects of problem-solving flexibility. Cogent Education, 10(1), 1-10. https://doi.org/10.1080/2331186X.2023.2190310

Cetin, ?., & Dev, S. (2023). Pre-service elementary mathematics teachers’ methods when solving integral-volume problems and the rationale behind their selections. International Journal of Mathematical Education in Science and Technology, 54(2), 195–219. https://doi.org/10.1080/0020739X.2021.1951859

Charalambous, Y., & Charalambous, C. Y. (2023). Examining the effects of an intervention on mathematical modelling in problem solving at upper elementary grades: A cluster randomised trial study. Mathematical Thinking and Learning, 00(00), 1–19. https://doi.org/10.1080/10986065.2023.2270088

Chen, B. B., Yakubova, G., & Hughes, E. M. (2022). Mathematics support strategies for teaching students with ASD to solve fraction computation problems: An exploratory A-B design study. Preventing School Failure, 66(2), 99–108. https://doi.org/10.1080/1045988X.2022.2037493

Costa, V., & Sarmento, R. P. (2019). Confirmatory factor analysis: A case study. Retrieved from https://arxiv.org/ftp/arxiv/papers/1905/1905.05598.pdf

DeVellis, R. F. (1991).Scale development: Theory and applications. Sage Publications, Inc.

Dimosthenous, A., Kyriakides, L., Panayiotou, A., Sun, D., Zhan, Y., Wan, Z. H., Yang, Y., Looi, C. K., Hegna, H. M., Ørbæk, T., Hong, J. C., Hwang, M. Y., Hsu, H. T., Tai, K. H., Chiu, M. S., Gupta, N., Esperanza, P. J., Himang, C., Bongo, M., … Liu, Y. (2021). Short- and long-term effects of the home learning environment and teachers on student achievement in mathematics: A longitudinal study. Research in Science and Technological Education, 31(3), 54–65. https://doi.org/10.1080/10494820.2019.1674888

Du, X., Yuan, L., & Liu, J. (2023). The link between teacher-student relationships and non-routine problem solving in ninth-grade mathematics: A moderated mediation model. Educational Psychology, 43(9), 1044–1064. https://doi.org/10.1080/01443410.2023.2280449

Faulkner, F., Breen, C., Prendergast, M., & Carr, M. (2023). Profiling mathematical procedural and problem-solving skills of undergraduate students following a new mathematics curriculum. International Journal of Mathematical Education in Science and Technology, 54(2), 220–249. https://doi.org/10.1080/0020739X.2021.1953625

Fernández, L. M., Nguyen, U., & Callahan, R. (2022). Learners’ mathematics identity and achievement: Where does the teacher come in? International Journal of Mathematical Education in Science and Technology, 55(8), 1999-2024. https://doi.org/10.1080/0020739X.2022.2117657

Fülöp, É. (2021). Developing problem-solving abilities by learning problem-solving strategies: An exploration of teaching intervention in authentic mathematics classes. Scandinavian Journal of Educational Research, 65(7), 1309–1326. https://doi.org/10.1080/00313831.2020.1869070

Fyfe, E. R., Borriello, G. A., & Merrick, M. (2023). A developmental perspective on feedback: How corrective feedback influences children’s literacy, mathematics, and problem solving. Educational Psychologist, 58(3), 130–145. https://doi.org/10.1080/00461520.2022.2108426

Geteregechi, J. M. (2023). Investigating undergraduate students’ mathematical reasoning via problem posing. International Journal of Mathematical Education in Science and Technology, 55(10), 2530-2549. https://doi.org/10.1080/0020739X.2023.2169646

Kar, T., & Erkan, B. (2022). An examination of pre-service mathematics teachers’ problem-formulation performances. Investigations in Mathematics Learning, 14(3), 184–198. https://doi.org/10.1080/19477503.2022.2058841

Kaufmann, O. T., & Ryve, A. (2023). Teachers’ framing of students’ difficulties in mathematics learning in collegial discussions. Scandinavian Journal of Educational Research, 67(7), 1069–1085. https://doi.org/10.1080/00313831.2022.2115134

Kholid, M. N., Santosa, Y. T., Toh, T. L., Wijaya, A. P., Sujadi, I., & Hendriana, H. (2024). Defragmenting students’ reflective thinking levels for mathematical problem solving: Does it work? Reflective Practice, 25(3), 319–351. https://doi.org/10.1080/14623943.2024.2320140

Mitten, C., Collier, Z. K., & Leite, W. L. (2021). Online resources for mathematics: Exploring the relationship between teacher use and student performance. Investigations in Mathematics Learning, 13(3), 249–266. https://doi.org/10.1080/19477503.2021.1906041

Moon, J., Yeo, S., Si, Q., & Ijeluola, A. S. (2024). A scoping review of game-based learning for mathematics teacher education. International Journal of Mathematical Education in Science and Technology, 1-28. https://doi.org/10.1080/0020739X.2024.2337934

Myers, J. A., Hughes, E. M., Witzel, B. S., Anderson, R. D., & Owens, J. (2023). A meta-analysis of mathematical interventions for increasing the word problem-solving performance of upper elementary and secondary students with mathematics difficulties. Journal of Research on Educational Effectiveness, 16(1), 1–35. https://doi.org/10.1080/19345747.2022.2080131

Nedaei, M., Radmehr, F., & Drake, M. (2022). Exploring undergraduate engineering students’ mathematical problem-posing: The case of integral-area relationships in integral calculus. Mathematical Thinking and Learning, 24(2), 149–175.

Olivares, D., Lupiáñez, J. L., & Segovia, I. (2021). Roles and characteristics of problem solving in the mathematics curriculum: A review. International Journal of Mathematical Education in Science and Technology, 52(7), 1079–1096. https://doi.org/10.1080/0020739X.2020.1738579

Olsson, J., & Granberg, C. (2022). Teacher-student interaction supporting students’ creative mathematical reasoning during problem solving using Scratch. Mathematical Thinking and Learning, 00(00), 1–28. https://doi.org/10.1080/10986065.2022.2105567

Ovadiya, T. (2023). Implementing theoretical intervention principles in teaching mathematics to struggling students to promote problem-solving skills. International Journal of Mathematical Education in Science and Technology, 54(1), 4–28. https://doi.org/10.1080/0020739X.2021.1944682

Passanisi, A., Buzzai, C., Romano, A., Muscarà, M., & Pace, U. (2022). Special education teachers: The role of problem-solving coping strategies in the relationship between thinking styles and distance education attitudes. European Journal of Special Needs Education, 37(6), 1040–1054. https://doi.org/10.1080/08856257.2021.2013549

Pedersen, I. F., & Haavold, P. Ø. (2023). Students’ mathematical beliefs and motivation in the context of inquiry-based mathematics teaching. International Journal of Mathematical Education in Science and Technology, 54(8), 1649–1663. https://doi.org/10.1080/0020739X.2023.2189171

Piñeiro, J. L., Chapman, O., Castro-Rodríguez, E., & Castro, E. (2022). Prospective primary teachers’ initial mathematical problem-solving knowledge. International Journal of Mathematical Education in Science and Technology, 55(8), 1914–1937. https://doi.org/10.1080/0020739X.2022.2107958

Radmehr, F., Nedaei, M., & Drake, M. (2022). Introducing an elective mathematics education course for mathematics majors. Primus, 32(4), 517–532. https://doi.org/10.1080/10511970.2020.1856247

Rajadurai, R., & Ganapathy, H. (2023). Effect of the use of metacognitive instructional strategies in promoting mathematical problem-solving competence amongst undergraduate students in facing competitive examinations. Cogent Social Sciences, 9(1), 1-13. https://doi.org/10.1080/23311886.2023.2173103

Refvik, K. A. S., & Opsal, H. (2023). Do optional programming courses affect eighth-grade students’ mathematical problem solving? Computers in the Schools, 40(3), 244–261. https://doi.org/10.1080/07380569.2023.2175634

Rezaei, J., & Asghary, N. (2024). Teaching differential equations through a mathematical modelling approach: The impact on problem-solving and the mathematical performance of engineering undergraduates. International Journal of Mathematical Education in Science and Technology, 56(5), 899-919. https://doi.org/10.1080/0020739X.2024.2307397

Rigelman, N., & Lewis, C. (2023). Leveraging mathematics teacher leaders in support of student and teacher learning. Investigations in Mathematics Learning, 15(1), 85–102. https://doi.org/10.1080/19477503.2022.2140989

Rupnow, R. (2023). Mathematicians’ beliefs, instruction, and students’ beliefs: How related are they? International Journal of Mathematical Education in Science and Technology, 54(10), 2147–2175. https://doi.org/10.1080/0020739X.2021.1998684

Saadati, F., Giaconi, V., & Barrera-Pedemonte, F. (2023). Mathematical problem-solving-related affect across gender and grade-level among upper primary students. International Journal of Mathematical Education in Science and Technology, 55(10), 2436-2457. https://doi.org/10.1080/0020739X.2022.2159890

Saadati, F., Martínez, M. V., & Espinoza, C. G. (2023). Upper primary student attitudes toward mathematics problem solving: An exploratory study in Chile. Research in Mathematics Education, 1–22. https://doi.org/10.1080/14794802.2023.2221659

Salami, O. O., & Spangenberg, E. D. (2024). Impact of information and communication technology (ICT) facilities on gender differentials in mathematics performance among secondary school students. European Journal of STEM Education, 9(1), 18. https://doi.org/10.20897/ejsteme/15700

Salinas-Hernández, U., Kock, Z. Jan, & Pepin, B. (2024). Mathematics students’ self-reported resources used for solving real-life problems in a challenge-based modelling course. International Journal of Mathematical Education in Science and Technology, 1-27. https://doi.org/10.1080/0020739X.2024.2327558

?anal, S. Ö., & Elmali, F. (2024). Effectiveness of realistic math education on mathematical problem-solving skills of students with learning disability. European Journal of Special Needs Education, 39(1), 109–126. https://doi.org/10.1080/08856257.2023.2191110

Shurygin, V., Anisimova, T., Orazbekova, R., & Pronkin, N. (2023). Modern approaches to teaching future teachers of mathematics: The use of mobile applications and their impact on students’ motivation and academic success in the context of STEM education. Interactive Learning Environments, 1–15. https://doi.org/10.1080/10494820.2022.2162548

Sidenvall, J., Granberg, C., Lithner, J., & Palmberg, B. (2022). Supporting teachers in supporting students’ mathematical problem solving. International Journal of Mathematical Education in Science and Technology, 55(10), 2389-2409 . https://doi.org/10.1080/0020739X.2022.2151067

Smith, A., & Jones, B. (2021). Enterprise risk management: From theory to practice. Risk Management and Insurance Review, 24, 27–47.

Tan, S., & Maker, C. J. (2020). Assessing creative problem-solving ability in mathematics: The DISCOVER Mathematics Assessment. Gifted and Talented International, 35(1), 58–71. https://doi.org/10.1080/15332276.2020.1793702

Tang, H., Dai, M., Du, X., Hung, J. L., & Li, H. (2023). Understanding college students’ cognitive engagement in online collaborative problem-solving: A multimodal data analysis. Distance Education, 44(2), 306–323. https://doi.org/10.1080/01587919.2023.2209025

Ventistas, G., Ventista, O. M., & Tsani, P. (2024). The impact of realistic mathematics education on secondary school students’ problem-solving skills: A comparative evaluation study. Research in Mathematics Education, 1–25. https://doi.org/10.1080/14794802.2024.2306633

Wang, M., Walkington, C., & Rouse, A. (2022). A meta-analysis on the effects of problem-posing in mathematics education on performance and dispositions. Investigations in Mathematics Learning, 14(4), 265–287. https://doi.org/10.1080/19477503.2022.2105104

Wright, P. (2020). Visible and socially just pedagogy: Implications for mathematics teacher education. Journal of Curriculum Studies, 52(6), 733–751. https://doi.org/10.1080/00220272.2020.1790667

Published

2025-05-29

How to Cite

Salami, O. O., & Spangenberg, E. D. (2025). The influence of students’ engagement in mathematical problem solving activities. Interdisciplinary Journal of Education Research, 7(1), a24. https://doi.org/10.38140/ijer-2025.vol7.1.24