Kemampuan berpikir reflektif matematis siswa SMA dalam menyelesaikan masalah real-life
DOI:
https://doi.org/10.30872/primatika.v15i1.6504Keywords:
Berpikir reflektif matematis, Masalah real-life, StatistikaAbstract
Penelitian ini dilatarbelakangi oleh kecenderungan siswa untuk berfokus pada penyelesaian prosedural tanpa melakukan peninjauan kembali terhadap proses berpikirnya, terutama dalam memecahkan masalah real-life. Penelitian ini bertujuan untuk menganalisis kemampuan berpikir reflektif matematis siswa pada materi statistika serta mengidentifikasi hambatan yang dialami selama proses tersebut. Penelitian ini menggunakan pendekatan deskriptif kualitatif dengan melibatkan 36 siswa dari salah satu kelas X di SMA Negeri 1 Kartasura. Data penelitian dikumpulkan melalui tes tertulis dan wawancara. Enam siswa dipilih secara purposive berdasarkan kategori kemampuan matematis, yaitu tinggi, sedang, dan rendah. Analisis data dilakukan melalui tiga tahapan, yaitu reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa siswa dengan kemampuan tinggi mampu memenuhi seluruh indikator berpikir reflektif, sedangkan siswa dengan kemampuan sedang dan rendah hanya memenuhi sebagian indikator. Hambatan yang ditemukan meliputi kesulitan dalam memahami masalah kontekstual, keterbatasan dalam memantau proses penyelesaian, serta kurang optimalnya kemampuan refleksi dan interpretasi. Dengan demikian, kemampuan berpikir reflektif matematis siswa menunjukkan adanya perbedaan sekaligus hambatan pada setiap tingkat kemampuan matematis.
References
Anggraini, I., & Faiziyah, N. (2024). Unveiling the connection: Emotional intelligence and reflective thinking in students’ PISA problem-solving. Desimal: Jurnal Matematika, 7(2), 407–416. https://doi.org/10.24042/djm.v7i2.23631
Ariany, R. L., Widiastuti, T. T., Jauhari, A. L. R., & Fardillah, F. (2021). Classification of Student’s Mathematical Reflective Thinking in Calculus Class. Journal of Physics: Conference Series, 1764(1), 1–4. https://doi.org/10.1088/1742-6596/1764/1/012117
Erdoğan, F. (2020). The relationship between prospective middle school mathematics teachers’ critical thinking skills and reflective thinking skills. Participatory Educational Research, 7(1), 220–241. https://doi.org/10.17275/per.20.13.7.1
Fitzpatrick, C. L., Hallett, D., Morrissey, K. R., Yıldız, N. R., Wynes, R., & Ayesu, F. (2020). The relation between academic abilities and performance in realistic word problems. Learning and Individual Differences, 83–84(2020), 1–9. https://doi.org/10.1016/j.lindif.2020.101942
Hidayah, N. N., & Setyaningsih, R. (2024). Kemampuan Pemecahan Masalah Kontekstual Materi Statistika Ditinjau dari Adversity Quotient. MATHEdunesa, 13(1), 132–144. https://doi.org/10.26740/mathedunesa.v13n1.p132-144
Jannah, R. N., & Rahaju, E. B. (2018). Kemampuan Berpikir Reflektif Dalam Pemecahan Masalah Ditinjau Dari Kemampuan Matematika Siswa. MATHEDdunesa : Jurnal Ilmiah Pendidikan Matematika, 7(2), 398–405. https://doi.org/10.26740/mathedunesa.v7n2.p398-405
Kholid, M. N., Sa’dijah, C., Hidayanto, E., & Permadi, H. (2020). How are students ’ reflective thinking for problem solving ? Journal for the Education of Gifted, 8(3), 1135–1146. https://doi.org/10.17478/jegys.688210
Kholid, M. N., Swastika, A., Ishartono, N., Nurcahyo, A., Lam, T. T., Maharani, S., Ikram, M., Murniasih, T. R., Majid, Wijaya, A. P., & Pratiwi, E. (2022). Hierarchy of Students’ Reflective Thinking Levels in Mathematical Problem Solving. Acta Scientiae, 24(6), 24–59. https://doi.org/10.17648/acta.scientiae.6883
Kholid, M. N., Telasih, S., Pradana, L. N., & Maharani, S. (2021). Reflective Thinking of Mathematics Prospective Teachers ’ for Problem Solving. Annual Conference on Science and Technology Research (ACOSTER) 2020, 1–6. https://doi.org/10.1088/1742-6596/1783/1/012102
Kuncoro, K. S., Hidayat, A., Nadzeri, M. B., Hendriyanto, A., Meirani, F., & Juandi, D. (2025). Thinking Beyond the Equations : A Deep Dive into Reflective Thinking for Mathematics Learning. Participatory Educational Research (PER), 12(5), 310–334.
Miles, M. B., & Huberman, A. M. (1994). Qualitative Data Analysis: An Expanded Sourcebook, 2/E (Edition 2). Sage Publication.
Muntazhimah, M., Turmudi, T., & Prabawanto, S. (2021). The relation between prior knowledge and students’ mathematics reflective thinking ability. Journal of Physics: Conference Series, 1731(1), 1–6. https://doi.org/10.1088/1742-6596/1731/1/012043
Muntazhimah, Prabawanto, S., & Turmudi. (2023). Mathematical Reflective Thinking Type of Error on Newman’s Error Analysis. Asian Journal of University Education, 19(1), 108–120. https://doi.org/10.24191/ajue.v19i1.21222
Ningrum, A. K. P., Novaliyosi, & Nindiasari, H. (2024). Systematic Literature Review: Model Problem Based Learning terhadap Kemampuan Berpikir Reflektif Matematis Siswa. Jurnal Educatio FKIP UNMA, 10(3), 873–880. https://doi.org/10.31949/educatio.v10i3.9325
Putra, A. P. O., & Hakim, D. L. (2023). Kemampuan Berpikir Reflektif Matematis dalam Menyelesaikan Soal Barisan dan Deret. Jurnal Educatio FKIP UNMA, 9(1), 131–140. https://doi.org/10.31949/educatio.v9i1.4140
Ratnasari, Y., & Nurhidayah, D. A. (2020). Analisis Berpikir Reflektif Siswa dalam Menyelesaikan Masalah Matematika. Edupedia, 4(2), 162–171. http://studentjournal.umpo.ac.id/index.php/edupedia
Rocha, H., Viseu, F., & Matos, S. (2024). Problem-solving in a real-life context: An approach during the learning of inequalities. European Journal of Science and Mathematics Education, 12(1), 21–37. https://doi.org/10.30935/scimath/13828
Sa’dijah, C., Kholid, M. N., Hidayanto, E., & Permadi, H. (2020). Reflective Thinking Characteristics: A Study in the Proficient Mathematics Prospective Teachers. Infinity: Jurnal of Mathematics Education, 9(2), 159–172.
Santos-Trigo, M. (2024). Problem solving in mathematics education : tracing its foundations and current research-practice trends. 56, 211–222. https://doi.org/10.1007/s11858-024-01578-8
Sari, I. P. M., Jatmiko, B., & Suprapto, N. (2023). Students’ Physics Problem-Solving Skills in Daily Life Context: Between Confession and Fact. Jurnal Penelitian Pendidikan IPA, 9(1), 231–241. https://doi.org/10.29303/jppipa.v9i1.2561
Setiyani, Waluya, S. B., Sukestiyarno, Y. L., & Cahyono, A. N. (2022). Mathematical Reflective Thinking Process of Prospective Elementary Teachers Review from the Disposition in Numerical Literacy Problems. International Journal of Educational Methodology, 8(3), 405–420. https://doi.org/10.12973/ijem.8.3.405
Simacon, P. D. P., & Veloria, E. V. (2022). Reflective Thinking Skills and Attitude towards Problem-solving as Mediated by Mathematical Resilience of the Students. 35(4), 39–51. https://doi.org/10.9734/AJESS/2022/v35i4765
Tanna, P., Lathigara, A., & Bhatt, N. (2022). Implementation of Problem Based Learning to Solve Real Life Problems. Journal of Engineering Education Transformations, 35 (Special Issue), 103–111. https://doi.org/10.16920/jeet/2022/v35i0/167898
Umbara, F. D. A. D., & Herman, T. (2023). Kemampuan Berpikir Reflektif Matematis Siswa Dalam Menyelesaikan Masalah Matematis Terbuka Ditinjau Dari Gaya Belajar. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 1273–1285. https://doi.org/10.24127/ajpm.v12i1.6807
Watson, J., & Smith, C. (2022). Statistics education at a time of global disruption and crises : a growing challenge for the curriculum , classroom and beyond. Curriculum Perspectives, 42, 171–179. https://doi.org/10.1007/s41297-022-00167-7
Wisenöcker, A. S., Binder, S., Holzer, M., Valentic, A., Wally, C., & Große, C. S. (2024). Mathematical problems in and out of school : The impact of considering mathematical operations and reality on real life solutions. European Journal of Psychology of Education, 39, 767–783. https://doi.org/10.1007/s10212-023-00718-0
Zehavi, N., & Mann, G. (2005). Instrumented Techniques and Reflective Thinking in Analytic Geometry. The Mathematics Enthusiast, 2(2), 83–92. https://doi.org/10.54870/1551-3440.1025
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Khairunnisa Nurul Aini, Christina Kartika Sari
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Primatika : Jurnal Pendidikan Matematika applies the license of CC BY-SA 4.0 (a Creative Commons Attribution Share-Alike 4.0 International License). This license allows authors to keep ownership of the copyright of their papers. But this license permits any user to download, print out, extract, reuse, archive, and distribute the article, so long as appropriate credit is given to the authors and the source of the work. The license ensures that the article will be available as widely as possible and that the article can be included in any scientific archive. For more information, please see Creative Commons Attribution Share-Alike 4.0 International License.
