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All Journal Paradikma: Jurnal Pendidikan Matematika Journal on Mathematics Education (JME) JURNAL PENDIDIKAN NUSANTARA INDONESIA Al-Jabar : Jurnal Pendidikan Matematika MaPan : Jurnal Matematika dan Pembelajaran EDUCARE Indonesian Journal of Science and Mathematics Education Desimal: Jurnal Matematika Abdimas Dewantara Variabel Jurnal Wahana Pendidikan Plusminus: Jurnal Pendidikan Matematika International Journal of Community Service Proceedings Series on Social Sciences & Humanities PREDIKSI (Profesi Pendidikan Indonesia) Edumatica: Jurnal Pendidikan Matematika Uninus Journal of Mathematics Educations and Science (UJMES) Jurnal Pendidikan Matematika
Anton Jaelani
Muhammadiyah University of Purwokerto
Religion Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Economics, Econometrics & Finance Education Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Physics Public Health Social Sciences Other

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Diagnostic Analysis of Junior High School Students' Mathematical Critical Thinking Ability in Solving Problems of Numbers with Powers and Root Forms Pertiwi, Budi Wahyu; Jaelani, Anton
Desimal: Jurnal Matematika Vol. 9 No. 2 (2026): Desimal
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v9i2.31558

Abstract

Mathematical critical thinking is increasingly recognized as a core competence for enabling students to interpret problems, evaluate procedures, justify conclusions, and make reasoned mathematical decisions. Yet, students’ difficulties in exponents and radicals often reflect not only procedural inaccuracy but also fragmented reasoning that remains insufficiently diagnosed in classroom-based mathematics assessment. This study aimed to diagnose junior high school students’ mathematical critical thinking ability in solving exponent and radical problems through three indicators: elementary clarification, inference, and strategies and tactics. A descriptive diagnostic mixed-method design was employed involving 23 Grade IX students at SMP Negeri Satu Atap 1 Cimanggu, Indonesia. Data were collected using essay-based mathematical critical thinking tasks and analyzed through descriptive statistics and qualitative interpretation of students’ written responses. The quantitative findings revealed a critically low level of mathematical critical thinking, with a mean score of 26.57, a standard deviation of 3.55, the highest score of 35, and the lowest score of 20. None of the students reached the very good, good, or moderate categories; 26.09% were classified as low, while 73.91% were classified as very low. Qualitative analysis showed that students could identify limited explicit information but struggled to evaluate solution completeness, construct evidence-based inferences, justify strategy efficiency, and interpret results contextually. These findings indicate that students’ weaknesses are structural within the reasoning process rather than merely computational. The study contributes a diagnostic perspective by shifting the analysis from achievement-based classification toward indicator-based mapping of mathematical reasoning weaknesses, offering a foundation for more reflective, conceptually grounded, and reasoning-oriented mathematics instruction.
Co-Authors agustina setyaningrum, agustina Ahmad Ahmad Akhmad Jazuli Eka Setyaningsih Gunawan Gunawan Gunawan Handini, Elli Hidayati, Litsa Arfi Joko Purwanto Kusno Kusno Kusno Kusuma, Anggun Badu Musodiqoh, Ummu Atiyatul Nabila, Jauza Nur Nurbaiti, Idhata Pertiwi, Budi Wahyu Ratu Ilma Indra Putri Sejati, Mezayu Maura Triyana, Evi Ummu Atiyatul Musodiqoh Wahyuni, Priska Wanda Nugroho Yanuarto Widiarti, Helmy Wahyu Yusuf Hartono Zuhro, Syifa Ul Fatimatuz