Mathematical Critical Thinking in HOTS Problems With a Malay Cultural Context
DOI:
https://doi.org/10.38114/riemann.v8i1.202Keywords:
HOTS’ Problems, Malay Cultural Context, Mathematical Critical Thinking, SPLDVAbstract
This study investigates students’ mathematical critical thinking skills in solving Higher Order Thinking Skills (HOTS) problems contextualised within Malay culture, focusing on two-variable linear equation systems. Although numerous studies have examined critical thinking in mathematics, limited research integrates local cultural contexts into HOTS problem design. This qualitative descriptive study involved three ninth-grade students selected purposively from different critical thinking categories (high, medium, and low). Data were collected through written tests and semi-structured interviews based on Facione’s six critical thinking indicators: interpretation, analysis, evaluation, inference, explanation, and self-regulation. The findings reveal distinct characteristics across ability levels. Students in the high category were able to interpret contextual information accurately, construct appropriate mathematical models, and explain their reasoning logically before concluding, although minor computational inaccuracies occasionally occurred. Students in the medium category showed adequate ability in identifying relevant information and modelling the problem but experienced difficulties in organising information systematically and formulating precise conclusions. Meanwhile, students in the low category demonstrated limited ability in translating contextual problems into mathematical representations and expressing coherent reasoning in written form. The integration of Malay cultural contexts supported meaningful engagement, yet critical thinking development remained dependent on students’ cognitive readiness. These findings highlight the importance of contextual HOTS problem design combined with structured metacognitive scaffolding in mathematics instruction.
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Ahmad, D. N., Setyowati, L., Pujaning, A., & Sehendri, H. (2020). Analisis Sistem Penilaian Hots (Higher Order Thinking Skills) Dalam Mengukur Kemampuan Berpikir Kritis Dan Kreatif. BIOTIK: Jurnal Ilmiah Biologi Teknologi Dan Kependidikan, 8(1). https://doi.org/10.22373/biotik.v8i1.6600 DOI: https://doi.org/10.22373/biotik.v8i1.6600
Anugraheni, I., Gufron, A., & Purnomo, Y. W. (2025). The impact of realistic problem-based learning on mathematical connection abilities: evidence from elementary schools in Indonesia. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2523078 DOI: https://doi.org/10.1080/2331186X.2025.2523078
Billa, N. S., & Manurung, S. L. (2025). Analysis of Students’ Errors in Solving HOTs-Based Mathematics Problems Using The Newman Procedure. https://doi.org/10.38114/reimann.v7i1.70 DOI: https://doi.org/10.38114/reimann.v7i1.70
Chandran, T., Kamarudin, N., Mustakim, S. S., Silvarajan, L., & Zaremohzzabieh, Z. (2023). Factors Influencing Teaching Higher-order Thinking Skills Among Mathematics Teachers in Malaysian Primary Schools. Pertanika Journal of Social Sciences and Humanities, 31(4), 1509–1524. https://doi.org/10.47836/pjssh.31.4.09 DOI: https://doi.org/10.47836/pjssh.31.4.09
Costa, S. L. R., Bortoloci, N. B., Broietti, F. C. D., Vieira, R. M., & Vieira, C. T. (2021). Critical thinking in science and mathematics education: A systematic literature review. In Investigacoes em Ensino de Ciencias (Vol. 26, Number 1, pp. 145–168). Universidade Federal do Rio Grande do Sul, Instituto de Fisica. https://doi.org/10.22600/1518-8795.ienci2021v26n1p145 DOI: https://doi.org/10.22600/1518-8795.ienci2021v26n1p145
Facione, P. A. (2020). Critical Thinking: What It Is and Why It Counts. Insight assessment.
Ghaleb, B. D. S. (2024). Effect of Exam-Focused and Teacher-Centred Education Systems on Students’ Cognitive and Psychological Competencies. International Journal of Multidisciplinary Approach Research and Science, 2(02), 611–631. https://doi.org/10.59653/ijmars.v2i02.648 DOI: https://doi.org/10.59653/ijmars.v2i02.648
Gottschling, J., Krieger, F., & Greiff, S. (2022). The Fight against Infectious Diseases: The Essential Role of Higher-Order Thinking and Problem-Solving. Journal of Intelligence, 10(1). https://doi.org/10.3390/jintelligence10010014 DOI: https://doi.org/10.3390/jintelligence10010014
Hasni, A., & Potvin, P. (2015). Student’s interest in science and technology and its relationships with teaching methods, family context and self-efficacy. International Journal of Environmental and Science Education, 10(3), 337–366. https://doi.org/10.12973/ijese.2015.249a
Ismail, R., Retnawati, H., Sugiman, & Imawan, O. R. (2024). A sustainable development approach to math higher-order thinking skills: Culture and green technology. Proceedings of the International Conference on Sustainability: Developments and Innovations, 137–144. https://doi.org/10.1007/978-981-97-8348-9_17 DOI: https://doi.org/10.1007/978-981-97-8348-9_17
Izzati, N., Antika, R., & Siregar, N. A. R. (2020). Pembimbingan Guru Dalam Mengembangkan Soal Kategori HOTS Di MGMP Matematika SMP Kota Tanjungpinang. 4(3), 370–381. https://doi.org/10.31764/jmm.v4i3.2511
Kemendikbud. (2016). Peraturan Menteri Pendidikan dan Kebudayaan Republik Indonesia Nomor 21 Tahun 2016 Tentang Standar Isi Pendidikan Dasar dan Menengah. https://doi.org/https://peraturan.bpk.go.id/Details/224181/permendikbud-no-21-tahun-2016
Maulina, S., Muchtadi, M., & Hartono, H. (2025). Analisis Kesulitan Pemahaman Konseptual Siswa dalam Materi Aljabar Berdasarkan Teori APOS. Indo-MathEdu Intellectuals Journal, 6(1), 1337–1353. https://doi.org/10.54373/imeij.v6i1.2672 DOI: https://doi.org/10.54373/imeij.v6i1.2672
Men, F. E., Gunur, B., Jundu, R., & Raga, P. (2020). Critical Thinking Profiles of Junior High School Students in Solving Plane Geometry Problems Based on Cognitive Style and Gender. Indonesian Journal of Science and Mathematics Education, 3(2), 237–244. https://doi.org/10.24042/ijsme.v3i2.5955 DOI: https://doi.org/10.24042/ijsme.v3i2.5955
OECD. (2006). PISA 2006 Science Competencies for Tomorrow’s World (Vol. 1). https://doi.org/https://share.google/0Q4KJiTovzP03MQFd
OECD. (2023). PISA 2022 Results: The State of Global Education (Vol. 1). https://doi.org/10.1787/53f23881-en DOI: https://doi.org/10.1787/53f23881-en
Puspitasari, L., In’am, A., & Syaifuddin, M. (2019). Analysis of Students’ Creative Thinking in Solving Arithmetic Problems. International Electronic Journal of Mathematics Education, 14(1). https://doi.org/10.12973/iejme/3962 DOI: https://doi.org/10.12973/iejme/3962
Retnawati, H., Djidu, H., Apino, E., & Anazifa, R. D. (2018). Teachers’ Knowledge About Higher-Order Thinking Skills And Its Learning Strategy. 76(2). https://doi.org/10.33225/pec/18.76.215 DOI: https://doi.org/10.33225/pec/18.76.215
Schleicher, A. (2018). How to build a 21st-century school system. OECD Publishing. https://doi.org/10.1787/9789264300002-en DOI: https://doi.org/10.1787/9789264300002-en
Sihotang, M. E., & Warmi, A. (2023). Analisis Kemampuan Berpikir Kritis Matematis Siswa SMP Pada Materi Sistem Persamaan Linear Dua Variabel. Journal Didactical Mathematics, 5(2), 282–294. https://ejournal.unma.ac.id/index.php/dm DOI: https://doi.org/10.31949/dm.v5i2.5907
Sousa, A. S., & Vieira, R. M. (2018). Critical Thinking In Science Education: A Review Of Studies On Portugal’s Basic Education. 29(16), 15–33. https://doi.org/10.30681/21787476.2018/29.1533
Sunzuma, G., & Luneta, K. (2023). Zimbabwean mathematics pre-service teachers’ implementation of the learner-centred curriculum during teaching practice. Eurasia Journal of Mathematics, Science and Technology Education, 19(5), 1–14. https://doi.org/10.29333/EJMSTE/13131 DOI: https://doi.org/10.29333/ejmste/13131
Syaiful, Huda, N., Mukminin, A., & Kamid. (2022). Using a metacognitive learning approach to enhance students’ critical thinking skills through mathematics education. SN Social Sciences, 2(4). https://doi.org/10.1007/s43545-022-00325-8 DOI: https://doi.org/10.1007/s43545-022-00325-8
Tong, D. H., Loc, N. P., Uyen, B. P., & Son, T. H. (2020). Enhancing creative and critical thinking skills of students in mathematics classrooms: An experimental study of teaching the inequality in high schools. Universal Journal of Educational Research, 8(2), 477–489. https://doi.org/10.13189/ujer.2020.080219 DOI: https://doi.org/10.13189/ujer.2020.080219
Wang, X., Wang, Y., Tian, W., Zheng, W., & Chen, X. (2021). The Roles of Familiarity and Context in Processing Chinese Xiehouyu: An ERP Study. Journal of Psycholinguistic Research, 50(4), 901–921. https://doi.org/10.1007/s10936-020-09753-0 DOI: https://doi.org/10.1007/s10936-020-09753-0
World Economic Forum. (2020). The Future of Jobs Report 2020. https://doi.org/http://www3.weforum.org/docs/WEF_Future_of_Jobs_2020.pdf
Yuliana, S., Sunanti, T., & Kintoko. (2024). Analysis of Higher Order Thinking Skills in Solving Mathematical Word Problems. https://doi.org/10.38114/6z3pm559 DOI: https://doi.org/10.38114/6z3pm559
Yunita, I., Handayani, A., & Nugroho, A. A. (2023). Pengembangan Perangkat Penilaian Berbasis HOTS Dalam Meningkatkan Kemampuan Berpikir Kritis Matematika Materi Operasi Hitung Bilangan Bulat dan Campuran Pada Murid Kelas VI. Didaktik : Jurnal Ilmiah PGSD STKIP Subang, 9(2). https://doi.org/10.36989/didaktik.v9i2.920 DOI: https://doi.org/10.36989/didaktik.v9i2.920
Zhou, Y., Ning, Y., Chen, J., Zhang, W., & Wijaya, T. T. (2024). Development and validation of Mathematical Higher-Order Thinking Scale for high school students. Psychology in the Schools, 61(8), 3160–3192. https://doi.org/10.1002/pits.23213 DOI: https://doi.org/10.1002/pits.23213
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Copyright (c) 2026 Nur Izzati, Anggia Rahmawati, Azizah Demokratia ‘Adilah, Laila Rahmadani Ali Nasution, Siska Amanda (Author)

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