The problem faced by students in school is the lack of a thinking process that is able to link existing knowledge with problems that are rarely encountered before. The reflective thinking process is one of the important aspects in solving non-routine problems and can be viewed from students' mathematical abilities. Therefore, this study aims to describe the reflective thinking process of class XI IPA 1 students of SMAN 10 Makassar with high initial mathematical abilities in solving non-routine mathematical problems. This study is a descriptive study using a qualitative approach. The results obtained in this study are that students with three subjects with high initial mathematical abilities have a reflective thinking process in four problem-solving steps (polya) as follows (1) understanding the problem: (a) elaborative-creative thinking, (b) clarification-critical thinking, (c) critical-assessment thinking and (d) creative-laboratory thinking, all indicators are met by all subjects. (2) developing strategies: (a) inferential-critical thinking, (b) elaborative-creative thinking and (c) fluent-creative thinking, all indicators are met by all subjects except for the fluency indicator, there is one subject that does not meet it. (3) implementation strategy: (a) inferential-critical thinking is fulfilled by the subject, (b) flexible-creative thinking, only two subjects fulfill the indicators and (d) originality-creative thinking can only be fulfilled by one subject. (4) looking back: (a) elaborative-creative thinking and (b) critical thinking strategy, all indicators are fulfilled by the subject, but only one student checks the answer.
Downloads
- Adha, S. M., & Rahaju, E. B. (2020). Profil berpikir reflektif siswa SMA dalam memecahkan masalah matematika ditinjau dari kecerdasan logis-matematis. Jurnal Pendidikan Matematika Dan Sains, 4(2), 61–71. https://doi.org/10.26740/jppms.v4n2.p61-71 DOI: https://doi.org/10.26740/jppms.v4n2.p61-71
- Ansori, H., & Aulia, I. (2015). Penerapan model pembelajaran Missouri Mathematics Project (MMP) terhadap kemampuan pemecahan masalah siswa di SMP. EDU-MAT Jurnal Pendidikan Matematika, 3(1), 49–58. https://doi.org/10.20527/edumat.v3i1.629 DOI: https://doi.org/10.20527/edumat.v3i1.629
- Asmaun, A. (2024). Deskripsi Pemahaman Matematis Berdasarkan Gaya Kognitif pada Materi Segi-Empat. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 4(1), 124–136. https://doi.org/10.51574/kognitif.v4i1.1195 DOI: https://doi.org/10.51574/kognitif.v4i1.1195
- Baharuddin, B. (2024). Peningkatan Pemahaman Konsep Operasi Hitung Perkalian Bilangan Cacah melalui Pendekatan Konstruktivisme. Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences, 3(3), 89–97. https://doi.org/10.53696/venn.v3i3.169 DOI: https://doi.org/10.53696/venn.v3i3.169
- Dewey, J. (1910). How we Think (Vol. 6). SIU Press. DOI: https://doi.org/10.1037/10903-000
- Febrianty, E. D., Herman, T., Mardliyah, S., & Pauji, I. (2024). Students’ Mathematical Reflective Thinking Ability in Solving System of Linear Equations in Two Variables Problems. Edumatica : Jurnal Pendidikan Matematika, 14(1), 61–71. https://doi.org/10.22437/edumatica.v14i01.31976 DOI: https://doi.org/10.22437/edumatica.v14i01.31976
- Gurol, A. (2011). Determining the reflective thinking skills of pre-service teachers in learning and teaching process. Energy Education Science and Technology Part B-Social and Educational Studies, 3(3).
- Hartati, S., Bilqis, R. A., & Rinaldi, A. (2020). Mathematical problem-solving abilities and reflective thinking abilities: The impact of the influence of eliciting activities models. Jurnal Pendidikan Matematika, 11(1), 167–178. https://doi.org/10.24042/ajpm.v11i1.6709 DOI: https://doi.org/10.24042/ajpm.v11i1.6709
- Iksanti, A., & Sari, C. K. (2023). Proses Berpikir Siswa Dalam Memecahkan Masalah Non-Rutin Pada Fase Reacting, Comparing, Dan Contemplating. Histogram: Jurnal Pendidikan Matematika, 7(1), 469–485. https://doi.org/10.31100/histogram.v7i1.2604
- Kashinath, K. S. (2013). Steps of Reflective Thinking. Global Online Electronic International Interdisciplinary Research Journal (GOEIIRJ) {Bi-Monthly}, 2(1), 331–335. www.goeiirj.com
- 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 Young Scientists, 8(3), 1135–1146. https://doi.org/10.17478/JEGYS.688210 DOI: https://doi.org/10.17478/jegys.688210
- Kholid, M. N., Telasih, S., Pradana, L. N., & Maharani, S. (2021). Reflective Thinking of Mathematics Prospective Teachers’ for Problem Solving. Journal of Physics: Conference Series, 1783(1). https://doi.org/10.1088/1742-6596/1783/1/012102 DOI: https://doi.org/10.1088/1742-6596/1783/1/012102
- Lutfiananda, I. M. A. (2016). Analisis Proses Berpikir Reflektif Siswa dalam Memecahkan Masalah Matematika Non Rutin di Kelas VIII SMP Islamic International School Pesantren Sabilil Muttaqien (IIS PSM) Magetan Ditinjau dari Kemampuan Awal. Tesis tidak dipublikasikan, PPs Universitas Sebelas Maret.
- Nasriadi, A. (2016). Berpikir Reflektif Siswa SMP dalam Memecahkan Masalah Matematika Ditinjau dari Perbedaan Gaya Kognitif. Numeracy, 3(1), 15–26. https://doi.org/10.46244/numeracy.v3i1.195 DOI: https://doi.org/10.12928/admathedu.v3i1.4831
- Nindiasari, H., Kusumah, Y. S., Sumarmo, U., & Sabandar, J. (2014). Pendekatan metakognitif untuk meningkatkan kemampuan berpikir reflektif matematis siswa SMA. Jurnal Ilmu Pendidikan Dan Pengajaran, 1(1), 80–90. https://doi.org/10.17509/edusentris.v1i1.136 DOI: https://doi.org/10.17509/edusentris.v1i1.136
- Noviyanti, E. D., Purnomo, D., & Kusumaningsih, W. (2021). Analisis Kemampuan Berpikir Reflektif dalam Pemecahan Masalah Matematika Ditinjau dari Gaya Kognitif. Imajiner: Jurnal Matematika Dan Pendidikan Matematika, 3(1), 57–68. https://doi.org/10.26877/imajiner.v3i1.7097 DOI: https://doi.org/10.26877/imajiner.v3i1.7097
- Rahma, N. N., & Rahaju, E. B. (2020). Proses Berpikir Reflektif Siswa SMA dalam Menyelesaikan Soal Cerita Matematika Ditinjau dari Kemampuan Matematika MATEMATIKA. MATHEdunesa: Jurnal Ilmiah Pendidikan Matematika, 9(2), 329–338. https://doi.org/10.26740/mathedunesa.v9n2.p329-338 DOI: https://doi.org/10.26740/mathedunesa.v9n2.p329-338
- Suharna, H. (2012). Berpikir Reflektif (Reflective Thinking) Siswa SD Berkemampuan Matematika Tinggi dalam Pemahaman Masalah Pecahan. Seminar Nasional Matematika Dan Pendidikan Matematika FMIPA UNY, P (41), 376–386.
- Suharna, H., Nusantara, T., & Santi Irawati. (2013). Berpikir Reflektif Mahasiswa dalam Menyelesaikan Masalah Matematika. KNPM V, Himpunan Matematika Indonesia, 1(1), 289–291.
- Suwartia, S., & Syaiful, S. (2023). Analisis Berpikir Reflektif Siswa dalam Pemecahan Masalah Matematika Berdasarkan Taksonomi Bloom Ditinjau dari Gaya Kognitif Field Dependent dan Field Independent. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(1), 796–809. https://doi.org/10.31004/cendekia.v7i1.990 DOI: https://doi.org/10.31004/cendekia.v7i1.990
- Suwasti, P. (2016). Aktivitas Metakognisis Siswa SMA dalam Memecahkan Masalah Program Linear Ditinjau dari Gaya Kognitif Reflektif-Implusif dan Jenis Kelamin. Tesis tidak dipublikasikan, PPs Universitas Sebelas Maret.
- Syadid, R. A. A. C. I., & Sutiarso, S. (2022). Hubungan kemampuan berpikir reflektif matematis dengan kemampuan pemecahan masalah matematis peserta didik. Edu Sains: Jurnal Pendidikan Sains Dan Matematika, 8(2), 13–24. https://doi.org/10.23971/eds.v10i1.2823 DOI: https://doi.org/10.23971/eds.v10i1.2823
- Tisngati, U. (2015). Proses Berpikir Reflektif Mahasiswa Dalam Pemecahan Masalah Pada Materi Himpunan Ditinjau Dari Gaya Kognitif Berdasarkan Langkah Polya. Jurnal Tadris Matematika, 8(2), 115–124. http://jurnalbeta.ac.id
- Wahyudi, & Budiono. (2012). Pemecahan Masalah Matematika. Salatiga: Widya Sari Press.
- Wulansari, M. D., Purnomo, D., & Utami, R. E. (2019). Analisis Kemampuan Berpikir Reflektif Siswa Kelas VIII dalam Memecahkan Masalah Matematika Ditinjau dari Gaya Belajar Visual dan Auditorial. Imajiner: Jurnal Matematika Dan Pendidikan Matematika, 1(6), 393–402. https://doi.org/10.26877/imajiner.v1i6.4869 DOI: https://doi.org/10.26877/imajiner.v1i6.4869
- Yuni, Y., Kusuma, A. P., & Huda, N. (2021). Problem-based learning in mathematics learning to improve reflective thinking skills and self-regulated learning. Al-Jabar: Jurnal Pendidikan Matematika, 12(2), 467–480. https://doi.org/10.24042/ajpm.v12i2.10847 DOI: https://doi.org/10.24042/ajpm.v12i2.10847
Education and Talent Development Center of Indonesia (ETDC Indonesia)
e-mail: kognitif@etdc.org, website : https://etdc-indonesia.com

Kognitif: Jurnal Riset HOTS Pendidikan Matematika dengan Situs: https://etdci.org/journal/kognitif berlisensi Creative Commons Attribution-ShareAlike 4.0 International License
Most read articles by the same author(s)
- Asmaun, Deskripsi Pemahaman Matematis Siswa Berdasarkan Gaya Kognitif pada Materi Segi-Empat , Kognitif: Jurnal Riset HOTS Pendidikan Matematika: Vol. 4 No. 1 (2024): January - March 2024
- Baharuddin, Khadijah, Masni, Keefektifan Pembelajaran Missouri Mathematics Project dengan Pendekatan Problem Solving terhadap Kemandirian Belajar , Kognitif: Jurnal Riset HOTS Pendidikan Matematika: Vol. 4 No. 1 (2024): January - March 2024
- Baharuddin, Asmaun, Penerapan Multimedia Pembelajaran Interaktif Berbasis Microsoft Powerpoint dalam Meningkatkan Hasil Belajar Matematika , Kognitif: Jurnal Riset HOTS Pendidikan Matematika: Vol. 4 No. 3 (2024): July - September 2024






.png)
