KEMAMPUAN BERPIKIR REFLEKTIF MAHASISWA DALAM MENYELESAIKAN MASALAH GEOMETRI
DOI:
https://doi.org/10.35334/1vvja983Keywords:
Berpikir Reflektif, Mahasiswa, Matematika, Penyelesaian MasalahAbstract
Students’ reflective thinking ability is closely related to their problem-solving skills. Therefore, the general
objective of this research is to describe further the reflective thinking ability, particularly among university
students, when solving geometry problems. The method used in this study is qualitative with a descriptive
approach. Data were collected through a geometry test to assess confusion and evaluation; a reflective thinking
observation sheet during the task (think-aloud); an in-depth interview guide on techniques, monitoring, insight,
and conceptualisation; an audio recorder; and field notes. The subjects in this study were selected using a
purposive sampling technique, in which students had already taken a Geometry course and had demonstrated
reflective thinking (confusion and evaluation) through tests and observations. The collected data were further
analysed using techniques such as transcribing the think-aloud recordings and interviews, followed by data
reduction, which involved selecting relevant excerpts from the transcripts, observation sheets, and field notes.
The findings indicate that although all aspects of reflective thinking were present, the monitoring and insight
components were complicated to identify throughout the research process. Therefore, future researchers are
encouraged to place greater emphasis not only on these two aspects but also specifically on the monitoring and
insight components within the problem-solving process.
Kemampuan berpikir reflektif siswa berhubungan erat dengan kemampuan dalam menyelesaikan masalah.
Sehingga tujuan umum dalam penelitian ini adalah untuk mendeskripsikan lebih lanjut tentang kemampuan
berpikir reflektif, khususnya pada mahasiswa ketika menyelesaikan masalah geometri. Metode yang digunakan
dalam penelitian ini adalah kualitatif dengan pendekatan deskriptif. Pengambilan data dilakukan melalui tes
geometri untuk mengidentifikasi kebingungan dan evaluasi; lembar observasi berpikir reflektif saat pengerjaan
(think-aloud), panduan wawancara mendalam terkait techniques, monitoring, insight, dan conceptualization, alat
perekam audio dan catatan lapangan. Subjek dalam penelitian ini diambil melalui teknik purposive sampling, di
mana mahasiswa tersebut telah mengikuti mata kuliah Geometri dan terbukti menunjukkan aspek berpikir
reflektif (kebingungan dan evaluasi) melalui tes dan observasi. Data yang dikumpulkan lebih lanjut dianalisis
dengan teknik yang digunakan yaitu transkripsi rekaman think-aloud dan wawancara. Reduksi data, memilih
potongan relevan dari transkrip, lembar observasi, dan catatan lapangan. Hasil penelitian menunjukkan bahwa
walaupun semua aspek berpikir reflektif muncul, namun khusus pada aspek monitoring dan insight dalam proses
penelitian ini sulit ditemukan. Oleh karena itu peneliti berikutnya dapat lebih berfokus selain pada dua aspek
juga pada bagian monitoring dan insight pada proses penyelesaian masalah.
Downloads
References
Creswell, J. W. (2015). Educational Research: Planning, Conducting, and Evaluating Quantitative and Qualitative Research (Fifth Edition). Pearson Education, Inc.
Cutts, A. D. (2018). The effects of an assignment that incorporated reading, writing, discourse, and reflection for Honors Advanced Algebra students: A quasi-experimental study. Valdosta state University.
Damastuti, A. S., Triyanto, & Nurhasanah, F. (2021). Students’ Reflective Thinking Ability Based on Their Prior Knowledge in Solving Geometry Problems. International Conference of Mathematics and Mathematics Education (I-CMME), 42.
Demirel, M., Derman, I., & Karagedik, E. (2015). A Study on the Relationship between Reflective Thinking Skills towards Problem Solving and Attitudes towards Mathematics. Procedia - Social and Behavioral Sciences, 197, 2086–2096. https://doi.org/10.1016/j.sbspro.2015.07.326
Erdoğan, F. (2020). The relationship between prospective middle school mathematics teachers’ critical thinking skills and reflective thinking skills. Participatory Educational Research (PER), 7(1), 220–241. https://doi.org/10.17275/per.20.13.7.1
Fuady, A. (2013). Berpikir Reflektif dalam Pembelajaran Matematika. Jurnal Ilmiah Pendidikan Matematika, 1(2), 104–112.
Julaiha, S., Suciati, & Widyawati, E. (2022). Analisis Karakteristik Butir Tes HOTS Matematika SMA dengan Konteks Kehidupan Tanjung Palas Menggunakan GRM. Mathematics Education and Application Journal (META), 4(1), 14–25. https://doi.org/10.35334/meta.v4i1.2755
Kholid, M. N., Lail, R., Lingga, A., & Pradana, N. (2019). Effect Of Tps Strategy With Portfolio Assessment And Learning Interest On Mathematical Learning Achievement. International Journal of Scientific & Technology Research, 8(09). www.ijstr.org
Kholid, M. N., Swastika, A., Nirmala, E., & Maharani, S. (2021). Pupils’ Reflective Thinking and Self-Efficacy Level for Problem Solving. Turkish Journal of Computer and Mathematics Education Research Article, 12(6), 4628–4636.
Kholid, M. N., Telasih, S., Pradana, L. N., & Maharani, S. (2021). Reflective Thinking on Mathematics Prospective Teachers’ for Problem Solving. Annual Conference on Science and Technology Research (ACOSTER).
Krulik, S., Rudnick, J. A., & Milou, E. (2003). Teaching mathematics in middle school : a practical guide. Allyn and Bacon. https://cir.nii.ac.jp/crid/1130000794497744768.bib?lang=en
Lee, H. J. (2005). Understanding and assessing preservice teachers’ reflective thinking. Teaching and Teacher Education, 21(6), 699–715. https://doi.org/10.1016/j.tate.2005.05.007
Leung, D. Y. P., & Kember, D. (2003). The Relationship between Approaches to Learning and Reflection upon Practice. Educational Psychology, 23(1), 61–71. https://doi.org/10.1080/01443410303221
Noer, S. H., Gunowibowo, P., & Triana, M. (2020). Improving students’ reflective thinking skills and self-efficacy through scientific learning. Journal of Physics: Conference Series, 1581(1). https://doi.org/10.1088/1742-6596/1581/1/012036
Özsoy, G., & Ataman, A. (2009). The effect of metacognitive strategy training on mathematical problem solving achievement. International Electronic Journal of Elementary Education, 1(2), 67–82. www.iejee.com
Purwadhani, D. A., & Wijayanti, P. (2025). Berpikir Reflektif Siswa SMA dalam Menyelesaikan Masalah Geometri dari Gaya Belajar. MATHEdunesa, 14(1), 231–244. https://doi.org/10.26740/mathedunesa.v14n1.p231-244
Schneider, W., & Artelt, C. (2010). Metacognition and mathematics education. ZDM - International Journal on Mathematics Education, 42(2), 149–161. https://doi.org/10.1007/s11858-010-0240-2
Shavit, P., & Moshe, A. (2019). The contribution of reflective thinking to the professional development of pre-service teachers. Reflective Practice, 20(4), 548–561. https://doi.org/10.1080/14623943.2019.1642190
Susanti, D., Purwanto, & Hiayanto, E. (2019). Pseudo Siswa dalam Menyelesaikan Soal Bertipe Higher Order Thinking Skills Berdasarkan Aktivitas Problem Solving. Mathematics Education And Application Journal, 1(1), 85–95. https://doi.org/10.35334/meta.v1i1.847
YuekMing, H., & Manaf, L. A. (2014). Assessing Learning Outcomes through Students’ Reflective Thinking. Procedia - Social and Behavioral Sciences, 152, 973–977. https://doi.org/10.1016/j.sbspro.2014.09.352
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
Issue
Section
License
Copyright (c) 2025 Rahma Sari, Enditiyas Pratiwi, Suyadi (Author)

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish in Mathematics Education and Application Journal (META) agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under an Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access)



