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All Journal Journal of Advanced Sciences and Mathematics Education
Subanji
Universitas Negeri Malang, Indonesia
Chemistry Education Mathematics Physics Social Sciences

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Intuitive and reflective mathematical reasoning in solving quadratic function problems: A dual-process perspective Evi Triani Puspitasari; Subanji; Santi Irawati; Lathiful Anwar; Puguh Darmawan
Journal of Advanced Sciences and Mathematics Education Vol. 6 No. 2 (2026): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v6i2.1237

Abstract

Background: Understanding students’ mathematical reasoning in solving quadratic function problems is important because it reveals how they construct and regulate their thinking during problem-solving activities. According to Dual-Process Theory, reasoning involves intuitive processes (System 1) and reflective processes (System 2). Aim: This study aimed to investigate how students engage System 1 and System 2 when solving quadratic function problems. Method: A qualitative descriptive approach was employed involving two tenth-grade students representing lower and higher mathematical ability levels. Data were collected through written tasks, video recordings, and semi-structured interviews. Data credibility was established through method triangulation. Results: The findings showed that both System 1 and System 2 were involved in solving quadratic function problems. Lower-ability students relied more frequently on System 1, resulting in automatic and less reflective reasoning. In contrast, higher-ability students demonstrated a more coordinated use of System 1 and System 2, leading to more systematic and accurate solutions. Conclusion: Quadratic function problem solving requires the integration of intuitive and reflective reasoning. System 2 plays a critical role in evaluating and validating initial intuitive responses, thereby supporting more effective mathematical reasoning.
Co-Authors Evi Triani Puspitasari Lathiful Anwar Puguh Darmawan