Article Per Year (5 Year)
p-Index From 2021 - 2026
0.408
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This Author published in this journals
All Journal Journal of Pedagogy and Education Science Riemann : Research of Mathematics and Mathematics Education
Sulaiman
Universitas Bengkulu
Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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The Relationship Between Mathematical Critical Thinking Ability and Students’ Political Literacy in Senior High School Sulaiman; Wahyu Widada; Nurul Astuty Yensy; Ari Suningsih
Journal of Pedagogy and Education Science Vol 5 No 01 (2026): Journal of Pedagogy and Education Science
Publisher : The Indonesian Institute of Science and Technology Research

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56741/IISTR.jpes.001571

Abstract

Critical thinking and political literacy are essential competencies in 21st-century education; however, they are often developed separately in school learning. This study investigates the relationship between mathematical critical thinking ability and students’ political literacy at the senior high school level. Using a quantitative correlational design, data were collected from 80 eleventh-grade students selected through stratified random sampling from three public high schools in Yogyakarta City. The instruments consisted of a mathematical critical thinking test and a political literacy questionnaire, both of which demonstrated acceptable validity and reliability. Data were analyzed using the Pearson Product–Moment correlation. The results revealed a significant positive correlation between mathematical critical thinking and political literacy (r = 0.58, p < 0.01), indicating that students with stronger mathematical reasoning tend to exhibit higher political literacy, including a better understanding of democratic values and more rational civic attitudes. These findings demonstrate that mathematical critical thinking contributes meaningfully to students’ political literacy. The study highlights the importance of integrating socio-political contexts into mathematics instruction as an interdisciplinary approach to fostering analytical and responsible citizenship in a democratic society.
Refining Proof Construction through SOLO+ Taxonomy and APOS Theory in Real Analysis Wahyu Widada; Badeni; Sulaiman; Khathibul Umam Zaid Nugroho; Dewi Herawaty
Riemann: Research of Mathematics and Mathematics Education Vol. 8 No. 2 (2026): EDISI AGUSTUS
Publisher : Program Studi Pendidikan Matematika Universitas Katolik Santo Agustinus Hippo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.38114/riemann.v8i2.239

Abstract

The transition from differential calculus to real analysis represents a significant ontological shift for undergraduate mathematics students, often accompanied by difficulties in constructing formal proofs. While existing frameworks broadly categorize imperfect proofs as procedural failures, they lack the diagnostic resolution to capture transitional cognitive states. To address this gap, this study integrates the SOLO taxonomy with APOS theory to analyze the cognitive mechanisms of students' proof construction. Employing a qualitative instrumental case study, data from written tests and task-based interviews were collected from 35 undergraduate students. These participants were purposefully selected because they had completed foundational calculus and logic courses, placing them squarely in the crucial transition stage from computational calculus to axiomatic analysis. The data were analyzed using the Constant Comparative Method. Moving beyond purely narrative descriptions, the empirical findings reveal that a majority of students (63%) operate within transition zones. Specifically, the study introduces two refined transitional states: 34% of the students were identified at the Semi-Relational level, characterized by logical gaps stemming from unstable process internalization, and 29% at the Semi-Extended Abstract level, where students display strong intuition but lack formal rigor due to rigid concept encapsulation. Ultimately, identifying these specific cognitive barriers provides a practical roadmap for educators to design targeted instructional interventions, actively helping students overcome their logical or intuitive hurdles to master formal mathematical proving successfully.
Co-Authors Ari Suningsih Badeni Dewi Herawaty Khathibul Umam Zaid Nugroho Nurul Astuty Yensy Wahyu Widada