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All Journal Journal Focus Action of Research Mathematic (Factor M) Indonesian Journal of Multidisciplinary and Educational Researcher
Yacan, Nurcan
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Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Mathematical disposition as a predictor of students’ mathematical communication in solving HOTS-based contextual problems Arifinta, Hasna Nisa; Wulan, Eka Resti; Yacan, Nurcan
Journal Focus Action of Research Mathematic (Factor M) Vol. 8 No. 2 (2025): December 2025
Publisher : Universitas Islam Negeri (UIN) Syekh Wasil Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/f_m.v8i2.6885

Abstract

This study examines the influence of mathematical disposition on students’ mathematical communication when solving contextual Higher Order Thinking Skills (HOTS)-based problems. Employing a quantitative ex-post facto design, data were collected from 101 eighth-grade students using a mathematical disposition questionnaire and a mathematical communication test that consisted of contextual HOTS tasks. The results indicate that while many students showed a positive mathematical disposition, their communication performance varied across problem-solving demands. Regression analysis revealed that mathematical disposition contributed to students’ communication, particularly at the analytical level, but its impact diminished as task complexity increased. Overall, disposition played only a modest role in predicting students’ communication in HOTS contexts. The findings suggest that although mathematical disposition enhances students’ willingness to engage with challenging tasks, effective communication at higher cognitive levels also requires stronger conceptual understanding and strategic problem-solving experience. This study highlights the need for instructional approaches that integrate affective and cognitive supports to strengthen students’ mathematical communication in complex, open-ended problem settings.
Didactic Study of the Eigenvalue Concept and Its Geometric Representation in Linear Algebra Learning Mutamaqin, Muhamad; Yacan, Nurcan
Indonesian Journal of Multidisciplinary Educational Research Vol. 4 No. 1 (2026): April 2026
Publisher : LP2M Institut Agama Islam Negeri (IAIN) Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/ijomer.v4i1.8228

Abstract

Students’ understanding of eigenvalues and eigenvectors in linear algebra continues to demonstrate a strong procedural tendency, with insufficient emphasis on structural and geometric meaning. The research gap lies in the limited conceptual studies that systematically reconstruct the eigenvalue concept as an invariant structure by integrating symbolic, geometric, and applicative representations. To address this gap, this research employs a systematic conceptual review approach with stages of literature identification, selection based on inclusion-exclusion criteria, thematic coding, and conceptual modeling. From 45 articles identified in the initial stage, 28 articles passed selection based on title and abstract, 15 articles fully met the inclusion criteria, and 9 articles were analyzed in-depth in the conceptual synthesis. The synthesis results reveal a trend of dominance in computational approaches to eigenvalue learning, weak integration of multiple representations, and minimal geometric exploration before algebraic formalization is introduced. Based on these findings, a cyclic conceptual model is proposed that integrates multi-representation exploration, axiomatic formalization, relational integration between concepts, and reconceptualization in new contexts. This research provides a theoretical foundation for developing more meaningful learning designs, but is limited to literature analysis without direct empirical testing, so validation through quantitative or qualitative research is needed in subsequent stages to test the effectiveness of the proposed model in improving students’ conceptual understanding in linear algebra courses.
Co-Authors Arifinta, Hasna Nisa Eka Resti Wulan Mutamaqin, Muhamad