An exploration of critical thinking stages of junior high school students in solving contradictory mathematical problems
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Resumo
Critical thinking is a fundamental competence in 21st-century education, particularly in mathematics, where students frequently encounter contradictory information that requires logical reasoning and reflective judgment. This study explores the stages of critical thinking among junior high school students when solving contradictory mathematical problems. A qualitative descriptive design was employed, involving two eighth-grade students from SMP Negeri 01 Sumber Pucung, Malang, who were selected based on their skeptical responses to illogical mathematical tasks. Data were collected through open-ended tests and interviews, then analyzed to capture reasoning patterns and problem-solving strategies. The findings revealed three distinct stages of mathematical critical thinking: (1) Initial Stage (interpretation), where anomalies are sensed; (2) Tracing Stage (analysis), where contradictions are identified; and (3) Global View Stage (evaluation and inference), where holistic reasoning and alternative solutions are proposed. Subject 1 demonstrated conceptual awareness, cognitive flexibility, and evaluative rigor, while Subject 2 showed procedural accuracy but limited inferential precision. These findings suggest that contradictory problems can serve as effective instructional tools for balancing procedural and conceptual reasoning. Practical implications highlight the need for integrating contradictory problems into mathematics instruction to promote metacognitive reflection. Future research should expand participant diversity, employ longitudinal and experimental designs, and explore affective dispositions influencing students’ critical engagement.
Dados da obra
- Tipo
- Artigo
- Periódico
- Journal of Research and Advances in Mathematics Education, p. 200-217
- Editora
- Universitas Muhammadiyah Surakarta
- Ano
- 2025 (2025-07)
- Idioma
- en
- Palavras-chave
- critical thinking; problem-solving; contradictory information; mathematics education; thinking analysis.
- Temas
- Resolução de Problemas
- DOI
- 10.23917/jramathedu.v10i3.8911
- ISSN
- 2503-3697
- Acesso
- Acesso aberto
- Fontes
- DOAJ — Directory of Open Access Journals
- Na Biblioteca desde
- 01/10/2026 · verificada em 03/10/2026
Como citar
ABNT
AGUSMAN, Agusman; PURWANTO, Purwanto; RAHARDI, Rustanto. An exploration of critical thinking stages of junior high school students in solving contradictory mathematical problems. Journal of Research and Advances in Mathematics Education, p. 200-217, 2025. DOI: https://doi.org/10.23917/jramathedu.v10i3.8911.
APA
Agusman, A., Purwanto, P., & Rahardi, R. (2025). An exploration of critical thinking stages of junior high school students in solving contradictory mathematical problems. Journal of Research and Advances in Mathematics Education, 200-217. https://doi.org/10.23917/jramathedu.v10i3.8911
BibTeX
@article{agusman2025,
author = {Agusman, Agusman and Purwanto, Purwanto and Rahardi, Rustanto},
title = {An exploration of critical thinking stages of junior high school students in solving contradictory mathematical problems},
year = {2025},
journal = {Journal of Research and Advances in Mathematics Education},
pages = {200-217},
publisher = {Universitas Muhammadiyah Surakarta},
doi = {10.23917/jramathedu.v10i3.8911},
language = {en}
}RIS
TY - JOUR AU - Agusman, Agusman AU - Purwanto, Purwanto AU - Rahardi, Rustanto TI - An exploration of critical thinking stages of junior high school students in solving contradictory mathematical problems PY - 2025 JO - Journal of Research and Advances in Mathematics Education SP - 200 EP - 217 DO - 10.23917/jramathedu.v10i3.8911 LA - en ER -
Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS
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