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Abstract

Mathematics learning is widely recognized as a fundamental component of school curricula, as it equips students with essential competencies, particularly mathematical reasoning, which underpins logical analysis, problem solving, and decision making. The importance of cultivating reasoning skills is especially pronounced in the current era of disruption, characterized by rapid advances in information and communication technology and the automation of human labor by machines and autonomous systems. As physical tasks are increasingly performed by technology, human capacities such as reasoning and emotional intelligence become critical. Mathematical reasoning provides the foundation for understanding concepts, formulating logical arguments, and generating solutions across domains such as the natural sciences, society, and engineering, while also enabling students to approach problems critically and systematically. However, despite its significance, research in primary education has often emphasized procedural knowledge rather than examining how students construct and apply reasoning when confronted with mathematical challenges, leaving a gap in understanding how reasoning develops in authentic classroom contexts. To address this issue, the present study investigates how Grade 4 and Grade 5 students in a primary school in Banjarmasin, Indonesia, employ mathematical reasoning strategies to solve non-routine problems. Through a classroom-based experimental approach, we analyzed students’ solution pathways and the reasoning patterns they demonstrated in navigating mathematical tasks. The findings offer insights into the developmental characteristics of mathematical reasoning in upper primary school and contribute to broader discussions on fostering reasoning skills effectively, with implications for designing mathematics instruction that prepares students to meet the cognitive demands of an era increasingly shaped by automation and technological disruption.

Keywords

Artificial Intelligence Information and Communication Technology Mathematical Reasoning Students Learning

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How to Cite
Hadi, S., Dolk, M., Kamaliyah, & Hidayanto, T. (2025). Mathematical reasoning: How students learn mathematics?. Journal on Mathematics Education, 16(3), 943–958. https://doi.org/10.22342/jme.v16i3.pp943-958
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References

  1. Alexander, P. A., White, C. S., & Daugherty, M. (1997). Children’s use of analogical reasoning in early mathematics learning. In L. English (Ed.), Mathematical reasoning: Analogies, metaphors, and images (pp. 117 – 147). Mahwah, NJ: Lawrence Erlbaum Associates.
  2. Baroody, A. J., (with Coslick, R. T.). (1998). Fostering children’s mathematical power: An investigative approach to K-8 Mathematics Instruction. Mahwah, NJ: Lawrence Erlbaum.
  3. Basra, M., & Fauzi, K.M.A. (2017). An analysis of students’ mathematical reasoning ability using metacognitive strategy based-learning in Malaysia culture among junior high school students. Journal of Education and Practice, 8(21), 87-92.
  4. Bragg, L., Loong, E., Widjaja, W., Vale, C., & Herbert, S. (2015). Promoting reasoning through the magic V task. Australian Primary Mathematics Classroom, 20 (2): 10-14.
  5. Clements, D. H., Sarama, J., & DiBiase, A. M. (Eds.). (2003). Engaging young children in mathematics: Findings of the 2000 National Conference on Standards for Preschool and Kindergarten Mathematics Education. Mahwah, NJ: Lawrence Erlbaum Associates.
  6. Chiu, S., & Tron, M. O. (2004). Classroom discourse and the development of mathematical and analogical reasoning. In L. English (Ed.), Mathematical and analogical reasoning of young learners. London: Lawrence Erlbaum Associates.
  7. Darta & Saputra, J. (2018). Indicators that influence prospective mathematics teachers representational and reasoning abilities. Journal of Physics: Conference Series, 949(1), 012053. https://doi.org/10.1088/1742-6596/948/1/012053
  8. English, L. D. (1997). Children’s reasoning process in classifying and solving computational word problem. In L. D. English (Ed.), Mathematical reasoning: Analogies, metaphors, and images (pp. 191 – 220). Mahwah NJ: Lawrence Erlbaum Associates.
  9. English, L. D., & Halford, G. S. (1995). Mathematics education: Models and processes. Mahwah, NJ: Lawrence Erlbaum Associates.
  10. Febriandi, R., Herman, T., Abidin, Z., & … (2022). Analysis of mathematical reasoning ability and mathematical creative thinking elementry school students in solving story problems. International …, 660-671. http://proceedings2.upi.edu/index.php/icee/article/view/2041/1885
  11. Fisher, D. (2021). Kemampuan Pemecahan Masalah, Penalaran dan Self-Esteen Matematis Siswa SMP dalam Project-Based Learning Experiences. Disertasi. Program Studi Pendidikan Matematika, Fakultas MIPA, UPI Bandung.
  12. Fonseca, L. (2018). Mathematical reasoning and proof schemes in the early years. Journal of the European Teacher Education Network, Vol. 13: 34-44.
  13. Fuson, K. (1992). Research on whole number addition and substraction. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 243 – 275). New York: Macmillan.
  14. Ginsburg, H. P., Pappas, S., & Seo, K. H. (2001). Everyday mathematical knowledge: Asking young children what is developmentally appropriate. In S. Golbeck (Ed.), Psychological perspective on early childhood education: Reframing dillemas in research and practice (pp. 181 – 219). Mahwah, NJ: Lawrence Erlbaum Associates.
  15. Goswami, U. (1992). Analogical reasoning in children. Hove, UK: Lawrence Erlbaum Associates.
  16. Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 65 – 97) (pp. 243 – 275). New York: Macmillan.
  17. Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics. Washington: National Academy Press.
  18. Mubeen, J. (2022). Kecerdasan Matematis: Kisah tentang superioritas manusia atas mesin, Apa yang manusia miliki dan tidak dimiliki oleh robot. Jakarta: PT Pustaka Alvabet.
  19. NCTM (2000). Principles and standars for school mathematics. Reston: NCTM.
  20. Nunes, T. (1993). Learning mathematics: Perspectives from everyday life. In R. B. Davis & C. A. Maher (Eds.), Schools, mathematics, and the world of reality (pp. 61 – 78). Boston: Allyn & Bacon.
  21. Pramudiani, P., (2023). Professional development for supporting primary school teachers in promoting students’ mathematical reasoning using realistic mathematics education. Dissertation. Department of Elementary Education Graduate School Studies, Indonesia University of Education.
  22. Resnick, L. B. (1989). Developing mathematical knowledge. American Psychologist, 44, 162 – 169.
  23. Russel, S. J. (1999). Mathematical reasoning in the early grades. In L. V. Stiff & F. R. Curcio (Eds.), Developing mathematical reasoning, K – 12 (pp. 22 – 36). Reston, VA: National Council of Teachers of Mathematics.
  24. Sousa, D.A. (2015). How the Brain Learns Mathematics (Second Edition). Thousand Oaks, California: Corwin, A Sage Publishing Company.
  25. Tang, E. P., & Ginsberg, H. P. (1999). Mathematical reasoning: A psychological view. In L. V. Stiff (Ed.), Developing mathematical reasoning K – 12 (pp. 45 – 61). Reston, VA: National Council of Teachers of Mathematics.