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Siti Suprihatiningsih
Universitas Katolik Santo Agustinus Hippo
Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Health Professions Languange, Linguistic, Communication & Media Library & Information Science Mathematics Nursing Public Health Social Sciences Other

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Mathematical Critical Thinking Skills of Students in Solving Set Theory Problems Rimawati, Intan; Suprihatiningsih, Siti; Uripno, Gusti; Baldemor, Milagros R.
AlphaMath : Journal of Mathematics Education Alphamath: Vol. 12, No. 1, May 2026
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Purwokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30595/alphamath.v12i1.30338

Abstract

Mathematical critical thinking is a fundamental competency that students must develop to solve complex problems effectively; however, empirical evidence consistently indicates that this ability remains underdeveloped among junior high school students in Indonesia, particularly in the domain of set theory. This study aims to describe and analyze the mathematical critical thinking skills of seventh-grade students at a public junior high school located in a rural district of West Kalimantan, Indonesia, in solving set theory problems, based on four Facione indicators: interpretation, analysis, evaluation, and inference. A descriptive qualitative design was employed, involving six students selected through purposive sampling from a class of 29 students in the 2025/2026 academic year, categorized into high, medium, and low ability groups. Data were collected through a written essay test and semi-structured interviews, then analyzed using an interactive model comprising data reduction, data display, and conclusion drawing. Results show that high-ability students fulfilled all four critical thinking indicators optimally but demonstrated a consistent limitation in verbal mathematical justification. Medium-ability students performed adequately on interpretation and analysis but encountered difficulties in evaluation and systematic inference. Low-ability students failed to meet most indicators, with the most pronounced deficits in evaluation and inference. This study contributes to the field by investigating the distribution of critical thinking profiles within a unified classroom environment. Crucially, it highlights that verbal mathematical justification represents a fundamental developmental barrier that transcends procedural competence, offering specific implications for the refinement of mathematics instruction.
Co-Authors Anggraeni, Rani Anisatul Farida Aprilia Mercy Ardymulya Iswardani Arif S, Nugroho Aziz Musthafa Baldemor, Milagros R. Bernadeta Ritawati Bonyah, Ebenezer Dewi Retno Sari S Dewi Retno Sari S Dihin Muriyatmoko Ebenezer Bonyah Edi Ator Rerek Erwin Erwin Firda Hariyanti Friantini, Rizki Nurhana Happy Oktaviani Hendra Yulianto Iim Marfuah Imam Sujadi Imam Sujadi Indra Kurniawan Iren Irvan Irvan Isnawati Lujeng Lestari Kartika Sari Kintoko Kintoko Kintoko, Kintoko Konstansia Hermiati Lisa Levia Miranda MASRIYAH Mayang Sari Miftah Ar Razy Muhammad Firman Annur Nabiila Fatimatuz Zahra Nugroho Arif Sudibyo Panyule, Selvinus Lando Pradipta Annurwanda Pradipta Annurwanda Pradipta Annurwanda, Pradipta Rahmat Winata Rian Rian Richatul Asmah Rimawati, Intan Rizki Kurniawan Rangkuti Rizki Nurhana Friantini Rizki Nurhana Friantini Rizki Nurhana Friantini Rooselyna Ekawati Sangkot Idris Ritonga Sary Oktalita Sumantupang Selvinus Lando Panyule Sri Maya Lestari SRI RAHAYU Triana Harmini Tupulu, Nasri Uripno, Gusti Wahyu Azhar Ritonga Zakaria Susanto ZUNAEDY PASARIBU, ENDI