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All Journal Jurnal Absis : Jurnal Pendidikan Matematika dan Matematika Journal of Advanced Sciences and Mathematics Education
Nursupiamin
Universitas Islam Negeri Datokarama Palu, Indonesia
Chemistry Education Mathematics Physics Social Sciences

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Tracing how students make sense of convergent sequences through their preferred mathematical representations: A phenomenological exploration Nursupiamin; Sutji Rochaminah; Pathuddin; Sukayasa; I Wayan Sudarsana
Journal of Advanced Sciences and Mathematics Education Vol. 5 No. 2 (2025): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v5i2.886

Abstract

Background: Many students struggle to understand convergent sequences when they depend on only one form of mathematical representation, which limits how they interpret the idea of a sequence approaching its limit. Aim: This study explores how students who naturally rely on symbolic, visual, or verbal representations experience the process of solving convergent sequence problems. The goal is to understand how they construct meaning, the strategies they choose, and the points at which they feel uncertain when shifting between different modes of representation. Method: A descriptive phenomenological approach was used with seven participants selected through AHP–TOPSIS classification of Dominant Mathematical Representations. Data were gathered from written work, observations, and individual interviews, then analyzed using Colaizzi’s stages. Themes were refined through triangulation to ensure consistency and credibility. Results: Symbolic-oriented students tended to rely on procedural steps and showed little inclination to move beyond formulas. Students who preferred visual thinking used sketches to build intuition but hesitated when expressing their ideas in symbolic form. Those with a verbal orientation explained their reasoning narratively yet were less confident when formal notation was required. Across all participants, shifts between representations occurred rarely, and emotional responses—such as hesitation or relief—often accompanied these moments. Conclusion: The findings indicate that students’ understanding of convergence is shaped strongly by the representational mode they depend on. This limited flexibility suggests the need for instructional approaches that actively support transitions between symbolic, visual, and verbal representations so students can develop a more connected and meaningful understanding of convergent sequences
How do prospective mathematics teachers approach proof and refutation? A focus on abductive reasoning Rafiq Badjeber; Nursupiamin; Sandi Tri Subekhi
Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika Vol. 9 No. 1 (2026): Jurnal Absis
Publisher : Program Studi Pendidikan Matematika Universitas Pasir Pengaraian

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30606/absis.v9i1.3882

Abstract

This study aims to explore the abductive reasoning strategies used by prospective mathematics teachers in proving and refuting mathematical statements. This study used a qualitative method with a case study design. Fourteen third-year prospective mathematics teachers were involved in this study and were then grouped according to the characteristics of the type of abductive reasoning they used. Data collection techniques included tests given to all prospective mathematics teachers and interviews conducted with five prospective mathematics teachers selected based on their type of abductive reasoning. The data obtained was analyzed through stages that included data condensation, data display, and conclusion drawing. Technique triangulation was used to check the validity of the research findings. In general, it was found that the types of abductive reasoning strategies used by prospective mathematics teachers in proving included fact optimization and mistaken fact. Meanwhile, in refuting mathematical statements, there are three types of abductive reasoning used by students, consisting of fact optimization, mistaken fact, and factual error. The results of this study provide insight into how abductive reasoning contributes to formulating mathematical conjectures and can help educators design relevant learning strategies to support the improvement of students' proof and refutation abilities
Co-Authors I Wayan Sudarsana Pathuddin Rafiq Badjeber Sandi Tri Subekhi Sukayasa Sutji Rochaminah