Analysis of Students’ Algebraic Reasoning Processes in Ex-panding Mathematical Expressions in Nonroutine Problems

Mohammad Edy Nurtamam ; I Ketut Budayasa ; Agung Lukito
International Journal of Educational Evaluation an... 📅 2025 Vol 2, No 4 🔗 DOI: 10.62951/ijeepa.v2i4.433
Abstract
This study investigates the algebraic reasoning processes of university students when expanding mathematical expressions in the context of nonroutine problem-solving. The research adopts a qualitative approach to explore how students interpret algebraic structures, apply symbolic transformations, and construct logical explanations while working through unfamiliar tasks. Data were collected through written tests, task-based interviews, and detailed analysis of students’ solution strategies. The findings reveal significant variation in students’ ability to generalize patterns, recognize structural relationships, and justify algebraic procedures. Students with strong conceptual understanding demonstrated flexible reasoning, coherent explanations, and appropriate use of algebraic properties. In contrast, students who relied heavily on procedural rules often struggled with symbolic manipulation, produced fragmented reasoning, and exhibited misconceptions related to variables and distributive operations. These results highlight the importance of fostering conceptual understanding, metacognitive awareness, and reasoning-oriented instruction in university mathematics. The study provides insights for educators seeking to design learning environments that promote deeper algebraic thinking and enhance students’ ability to solve complex, nonroutine problems.
Keywords
Algebraic Reasoning; Mathematical Expression Expansion; Nonroutine Problem-Solving; Qualitative Analysis; Symbolic Manipulation
How to Cite

Mohammad Edy Nurtamam, et al. (2025). Analysis of Students’ Algebraic Reasoning Processes in Ex-panding Mathematical Expressions in Nonroutine Problems. International Journal of Educational Evaluation and Policy Analysis, 2(4). https://doi.org/10.62951/ijeepa.v2i4.433

Mohammad Edy Nurtamam; I Ketut Budayasa; Agung Lukito, "Analysis of Students’ Algebraic Reasoning Processes in Ex-panding Mathematical Expressions in Nonroutine Problems," International Journal of Educational Evaluation and Policy Analysis, vol. 2, no. 4, 2025.

Mohammad Edy Nurtamam; I Ketut Budayasa; Agung Lukito. "Analysis of Students’ Algebraic Reasoning Processes in Ex-panding Mathematical Expressions in Nonroutine Problems." International Journal of Educational Evaluation and Policy Analysis, vol. 2, no. 4, 2025.

Mohammad Edy Nurtamam; I Ketut Budayasa; Agung Lukito. "Analysis of Students’ Algebraic Reasoning Processes in Ex-panding Mathematical Expressions in Nonroutine Problems." International Journal of Educational Evaluation and Policy Analysis 2, no. 4 (2025).

Mohammad Edy Nurtamam, et al. (2025) 'Analysis of Students’ Algebraic Reasoning Processes in Ex-panding Mathematical Expressions in Nonroutine Problems', International Journal of Educational Evaluation and Policy Analysis, 2(4). doi: 10.62951/ijeepa.v2i4.433.

Mohammad Edy Nurtamam; I Ketut Budayasa; Agung Lukito. Analysis of Students’ Algebraic Reasoning Processes in Ex-panding Mathematical Expressions in Nonroutine Problems. International Journal of Educational Evaluation and Policy Analysis. 2025;2(4).

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