Exploring the Role and Application of Mathematical Reasoning Skills in Enhancing Students’ Problem-Solving Abilities in Biology and Physics Education.

Authors

  • Mustapha Bichi Sani Department of Science Education, Ahmadu Bello University, Zaria
  • Zainab Musa Department of Physics, Federal College of Education, Zaria.
  • Baiwan Allah Wenji Department of Science Education, Ahmadu Bello University, Zaria
  • Muhammad Hayatu Yusuf Department of Physics, Federal College of Education, Zaria.
  • Zaharaddeen Aliyu Department of Science Education, Ahmadu Bello University, Zaria

DOI:

https://doi.org/10.63561/fnas-jmse.v6i3.889

Keywords:

Mathematical Reasoning Skills, Problem-Solving Abilities, Biology, Physics Education, Interdisciplinary Problems

Abstract

This study investigates the role of mathematical reasoning in supporting students’ ability to solve interdisciplinary problems across biology and physics, with a particular focus on the cognitive and instructional factors that influence its application and transfer. Grounded in a mixed-methods convergent parallel design, the research involved 240 senior secondary school students and 12 science teachers drawn from stratified urban and rural schools. Data were collected using a researcher-developed Mathematical Reasoning in Science Problem-Solving Test (MRSPST), classroom observations, and semi-structured interviews. Quantitative data were analyzed using descriptive statistics, t-tests, ANOVA, and multiple regression, while qualitative data underwent thematic analysis. Results showed that students demonstrated significantly higher mathematical reasoning performance in physics than in biology, revealing disciplinary differences in how mathematics is integrated and utilized. Cognitive variables such as reasoning ability and prior math knowledge, along with subject preference, significantly predicted students’ interdisciplinary reasoning performance. Additionally, the study found that instructional strategies had a marked effect on students’ ability to transfer mathematical reasoning across domains, with real-world context integration and model-based inquiry proving significantly more effective than traditional lecture methods. Qualitative findings supported this, highlighting the importance of representational fluency, authentic problem contexts, and student discourse. The study concludes with strong recommendations for integrating interdisciplinary, inquiry-driven pedagogies and for enhancing teacher capacity to facilitate mathematical reasoning across STEM subjects. These insights have implications for curriculum design, instructional practices, and educational policy aimed at advancing meaningful STEM integration in secondary education.

References

Aguirre, J. M., Mayfield-Ingram, K., & Martin, D. B. (2022). The impact of culturally responsive mathematics and science instruction on interdisciplinary reasoning among secondary students. Journal of STEM Education Research, 5(1), 45–62. https://doi.org/10.1007/s41979-022-00047-8

Brasel, J., Sadler, T. D., & Sonnert, G. (2020). Students' reasoning and quantitative modeling in biology problem solving. Research in Science Education, 50, 1291–1313. https://doi.org/10.1007/s11165-018-9732-4

diSessa, A. A. (2020). A Friendly Introduction to “Knowledge in Pieces”. Cognition and Instruction, 38(3), 401–419. https://doi.org/10.1080/07370008.2020.1782862

Eidhamar, L., & Bråten, I. (2021). Understanding scientific reasoning in multiple disciplines: A review of educational interventions. Educational Psychology Review, 33, 453–481. https://doi.org/10.1007/s10648-020-09546-y

Gouvea, J. S., & Passmore, C. (2020). Models, modeling, and mathematics in biology education. Frontiers in Education, 5, 110. https://doi.org/10.3389/feduc.2020.00110

Gouvea, J. S., & Passmore, C. M. (2017). Modeling as a core practice in the biology classroom. Science Education, 101(1), 8–31. https://doi.org/10.1002/sce.21250

Kapon, S., & diSessa, A. A. (2018). Interdisciplinary knowledge integration: Challenges and affordances of applying mathematical models in physics and biology. Cognition and Instruction, 36(3), 275–303. https://doi.org/10.1080/07370008.2018.1461741

Lithner, J. (2021). Principles of mathematical reasoning and their application in education. Educational Studies in Mathematics, 107, 375–392. https://doi.org/10.1007/s10649-021-10033-7

National Academies of Sciences, Engineering, and Medicine. (2021). Call to Action for Science Education: Building Opportunity for the Future. Washington, DC: The National Academies Press. https://doi.org/10.17226/26152

National Research Council. (2012). A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas. Washington, DC: The National Academies Press. https://doi.org/10.17226/13165

Nitz, S., Ainsworth, S., & Nerdel, C. (2022). The role of representations in supporting interdisciplinary problem-solving in biology and physics. Learning and Instruction, 80, 101584. https://doi.org/10.1016/j.learninstruc.2022.101584

Nunez-Pena, M. I., Suarez-Pellicioni, M., & Bono, R. (2021). Mathematical anxiety and STEM achievement: The role of numerical processing and working memory. Contemporary Educational Psychology, 65, 101950. https://doi.org/10.1016/j.cedpsych.2021.101950

Passmore, C., Svoboda, J., & Gouvea, J. S. (2021). Model-based reasoning in interdisciplinary science learning. Journal of Research in Science Teaching, 58(9), 1252–1271. https://doi.org/10.1002/tea.21698

Ryoo, K., & Linn, M. C. (2021). Designing instruction for cross-disciplinary integration of math and science: The role of computational thinking. Journal of the Learning Sciences, 30(1), 5–44. https://doi.org/10.1080/10508406.2020.1839017

Schuchardt, A. M., & Schunn, C. D. (2020). Modeling scientific reasoning across biology and physics: A framework for assessing complex problem solving. Science Education, 104(2), 266–299. https://doi.org/10.1002/sce.21566

Schuchardt, A. M., & Schunn, C. D. (2020). Scientific reasoning and modeling in biology and physics education. Science Education, 104(2), 266–299. https://doi.org/10.1002/sce.21566

Shanahan, M. C., & Nieswandt, M. (2020). Learning science through mathematical lenses: Integrating mathematical reasoning into science curricula. Science Education International, 31(2), 127–136. https://doi.org/10.33828/sei.v31.i2.4

Svoboda, J., & Passmore, C. (2022). Disciplinary distinctions in modeling practices across physics and biology classrooms. Science Education, 106(3), 573–597. https://doi.org/10.1002/sce.21738

Thompson, S. E., Carlson, M. P., & Marek, E. (2022). Integrating quantitative skills into biology education: Challenges and pathways. CBE—Life Sciences Education, 21(3), es7. https://doi.org/10.1187/cbe.21-10-0251

Watkins, J., Coffey, J. E., & Sadler, T. D. (2020). Quantitative reasoning in science: Understanding how students use mathematical thinking in physics and biology contexts. Journal of Research in Science Teaching, 57(6), 790–812. https://doi.org/10.1002/tea.21614

Weinberg, A. E., Flanagan, J. C., & Schunn, C. D. (2021). Exploring cross-disciplinary use of mathematical modeling in STEM education. International Journal of STEM Education, 8(1), 45. https://doi.org/10.1186/s40594-021-00299-3

Weinberg, A. E., Flanagan, J. C., & Schunn, C. D. (2021). Modeling across science disciplines: Quantitative reasoning and representational fluency. International Journal of STEM Education, 8, 45. https://doi.org/10.1186/s40594-021-00299-3

Weinberg, A., Wiesner, H., & Fukawa-Connelly, T. (2021). Exploring the connections students make between mathematical and scientific models. Journal of Research in Science Teaching, 58(5), 679–703. https://doi.org/10.1002/tea.21669

Wilensky, U., & Reisman, K. (2019). Thinking like a biologist: Mathematical modeling in high school biology. Journal of Mathematical Behavior, 53, 100711. https://doi.org/10.1016/j.jmathb.2018.11.004

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Published

10/02/2025

How to Cite

Sani, M. B., Musa, Z., Wenji, B. A., Yusuf, M. H., & Aliyu, Z. (2025). Exploring the Role and Application of Mathematical Reasoning Skills in Enhancing Students’ Problem-Solving Abilities in Biology and Physics Education. Faculty of Natural and Applied Sciences Journal of Mathematics, and Science Education, 6(3), 1–9. https://doi.org/10.63561/fnas-jmse.v6i3.889

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