BAGAIMANA PROSES BERPIKIR REFLEKTIF MAHASISWA DALAM MEMECAHKAN MASALAH GEOMETRI ANALITIK?

Fuad Luky Atmaja(1*), Muhammad Noor Kholid(2),

(1) Universitas Negeri Yogyakarta
(2) Universitas Muhammadiyah Surakarta
(*) Corresponding Author


Abstract


Strategi memecahkan suatu permasalahan terjadi ketika identifikasi solusi untuk masalah sulit dirumuskan. Siswa jarang memanfaatkan kemampuan berpikir reflektif dalam menyelesaikan suatu permasalahan. Oleh karena itu, penelitian ini membantu mengkategorikan pemikiran reflektif siswa dalam memecahkan masalah. Subjek penelitian adalah 3 dari 38 mahasiswa di salah satu universitas di Jawa Tengah. Teknik pengumpulan data adalah tes, angket, rekaman video, wawancara, dan catatan lapangan. Keabsahan data dilaksanakan dengan teknik triangulasi. Data dianalisis dengan cara teknik reduksi data, penyajian, dan verifikasi. Hasil penelitian menunjukkan bahwa setiap subjek penelitian mempunyai jenis pemikiran reflektif berbeda. Pertama, pemikiran reflektif klarifikatif adalah proses pemecahan masalah dimulai dengan kesulitan, kemudian memfilter informasi dengan pengetahuan yang dipelajari berdasarkan pengalaman. Kedua, pemikiran reflektif konektif adalah proses memecahkan masalah ketika mengalami kesulitan dan kemudian mengatasinya dengan menghubungkan konsep dalam menemukan solusi permasalahan. Sementara itu, pemikiran reflektif produktif adalah proses berpikir dalam memecahkan masalah ketika mereka mengalami kesulitan dengan proses pemecahan masalah solusi berbeda. Penelitian ini dapat dijadikan evaluasi oleh calon guru dalam memaksimalkan kemampuan berpikir reflektif dan mempermudah mahasiswa dalam menyelesaikan masalah geometri analitik.

Keywords


analytic geometry; problem-solving; reflective thinking

References


Abdullah, I. H., La Nani, K., Hamid, I., & Jalal, A. (2018). The Implementation of Project-based Learning using ICT in Mathematical Proficiency Improvement of High School Students in the Region of North Maluku at 3T in Mathematical Proficiency Improvement of High School Students in the Region of North Maluku at 3T. In Proceedings of the 1st International Conference Om Teaching and Learning, 284–292. https://doi.org/10.5220/0008901002840292

Andika, F., Pramudya, I., & Subanti, S. (2020). PROBLEM POSING AND PROBLEM SOLVING WITH SCIENTIFIC APPROACH IN GEOMETRY LEARNING. International Online Journal of Education and Teaching (IOJET, 7(4), 1635–1642.

Ayazgök, B., & Aslan, H. (2014). The Review of Academic Perception, Level of Metacognitive Awareness and Reflective Thinking Skills of Science and Mathematic University Students. Procedia - Social and Behavioral Sciences, 141, 781–790. https://doi.org/10.1016/j.sbspro.2014.05.137

Barbosa, F., Rampazzo, P. C. B., Yamakami, A., & Camanho, A. S. (2019). The use of frontier techniques to identify efficient solutions for the Berth Allocation Problem solved with a hybrid evolutionary algorithm. Computers and Operations Research, 107, 43–60. https://doi.org/10.1016/j.cor.2019.01.017

Choy, S. C., & Oo, P. S. (2012). Reflective Thinking and Teaching Practices: a Precursor for Incorporating Critical Thinking Into the Classroom? International Journal of Instruction, 5(1), 167–182.

Chuderski, A. (2014). How well can storage capacity, executive control, and fluid reasoning explain insight problem solving. Intelligence, 46(1), 258–270. https://doi.org/10.1016/j.intell.2014.07.010

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(February), 2086–2096. https://doi.org/10.1016/j.sbspro.2015.07.326

Fredua-Kwarteng, E. (2015). How prospective teachers conceptualized mathematics: Implications for teaching. International Electronic Journal of Mathematics Education, 10(2), 77–95. https://doi.org/10.12973/mathedu.2015.106a

Gal, I., Ginsburg, L., & Schau, C. (1997). Monitoring attitudes and beliefs in statistics education. The Assessment Challenge in Statistics Education, 1997(October), 37–51. http://www.stat.auckland.ac.nz/~iase/publications/assessbkref.

Ghanizadeh, A., & Jahedizadeh, S. (2017). Validating the persian version of reflective thinking questionnaire and probing Iranian university students’ reflective thinking and academic achievement. International Journal of Instruction, 10(3), 209–226. https://doi.org/10.12973/iji.2017.10314a

Golafshani, N. (2003). Understanding Reliability and Validity in Qualitative Research. The Qualitative Report, 8(4), 597–606. https://doi.org/10.46743/2160-3715/2003.1870

HASIRCI, Y. D. D. Ö. K., & SADIK, D. F. (2011). Sınıf Öğretmenlerinin Yansıtıcı Düşünme Eğilimlerinin incelenmesi. Çukurova Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 20(2), 195–210. https://dergipark.org.tr/tr/pub/cusosbil/issue/4387/60285

Hsieh, P. H., & Chen, N. S. (2012). Effects of reflective thinking in the process of designing software on students’ learning performances. Turkish Online Journal of Educational Technology, 11(2), 88–99.

Kaune, C. (2006). Reflection and metacognition in mathematics education - tools for the improvement of teaching quality. ZDM - International Journal on Mathematics Education, 38(4), 350–360. https://doi.org/10.1007/BF02652795

Kholid, M. N., Sa’Dijah, C., Hidayanto, E., & Permadi, H. (2021). Students’ reflective thinking pattern changes and characteristics of problem solving. Reflective Practice, 1–23. https://doi.org/10.1080/14623943.2021.2025353

Kuznetsova, K., & Samsonovich, A. V. (2018). Semantic-map-based approach to designing an insight problem solving assistant. Procedia Computer Science, 123, 258–264. https://doi.org/10.1016/j.procs.2018.01.040

Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236–260. https://doi.org/10.4219/jeg-2006-264

Muhson, A. (2016). PENERAPAN METODE PROBLEM SOLVING DALAM PEMBELAJARAN STATISTIKA LANJUT. Jurnal Riset Pendidikan Matematika, 4(1), 1–23.

Ngilawajan, D. A. (2013). PROSES BERPIKIR SISWA SMA DALAM MEMECAHKAN MASALAH MATEMATIKA MATERI TURUNAN DITINJAU DARI GAYA KOGNITIF FIELD INDEPENDENT DAN FIELD DEPENDENT. PEDAGOGIA, 2(1), 71–83. https://doi.org/10.26877/imajiner.v3i2.7487

Nindiasari, H., Kusumah, Y., Sumarmo, U., & Sabandar, J. (2014). PENDEKATAN METAKOGNITIF UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR REFLEKTIF MATEMATIS SISWA SMA. Edusentris, Jurnal Ilmu Pendidikan Dan Pengajaran, 1(1), 80–90.

Rock, M. L. (2005). Use of strategic self-monitoring to enhance academic engagement productivity, and accuracy of students with and without exceptionalities. Journal of Positive Behavior Interventions, 7(1), 3–17. https://doi.org/10.1177/10983007050070010201

Rosidah, A. (2016). Bimbingan Kelompok Melalui Teknik Problem Solving Untuk Meningkatkan Penyesuaian Diri Siswa Terisolir. Jurnal Fokus Konseling, 2(2), 136–143.

Setiawan, M. A. (2015). Model Konseling Kelompok Dengan Teknik Problem Solving Untuk Meningkatkan Self-Efficacy Akademik Siswa. Jurnal Bimbingan Konseling, 4(1), 8–14.

Sopia, N., Sugiatno, S., & Hartoyo, A. (2019). Pengembangan Pemahaman Konseptual Dan Disposisi Matematis Siswa Melalui Penerapan Pendekatan Problem Solving Di Sma. J-PiMat : Jurnal Pendidikan Matematika, 1(1), 11–20. https://doi.org/10.31932/j-pimat.v1i1.405

Sugiyono, S. (2011). Metode penelitian kuantitatif, kualitatif dan R&D. CV Alfabeta.

Suharna, H., Nusantara, A. L., & Budayasa, K. (2015). PROFIL BERPIKIR REFLEKTIF SISWA SD DALAM PEMECAHAN MASALAH PECAHAN BERDASARKAN KEMAMPUAN MATEMATIKA. EDUKASI - Jurnal Pendidikan, 13(2), 494–507.

Suharna, H. (2018). Teori Berpikir Reflektif dalam Memecahkan Masalah Matematika. Sleman: CV Budi Utama.

Wahyuningsih, S. (2013). Metode Penelitian Studi Kasus: Konsep, Teori Pendekatan Psikologi Komunikasi, dan Contoh Penelitiannya. In UTM PRESS (Ed.), UTM PRESS Bangkalan - Madura (Cetakan Pe).

Yanti, A. P., & Syazali, M. (2016). Analisis Proses Berpikir Siswa dalam Memecahkan Masalah Matematika berdasarkan Langkah-Langkah Bransford dan Stein ditinjau dari Adversity Quotient. Al-Jabar : Jurnal Pendidikan Matematika, 7(1), 63–74. https://doi.org/10.24042/ajpm.v7i1.132

Yeh, Y. chu, Tsai, J. L., Hsu, W. C., & Lin, C. F. (2014). A model of how working memory capacity influences insight problem solving in situations with multiple visual representations: An eye tracking analysis. Thinking Skills and Creativity, 13(64), 153–167. https://doi.org/10.1016/j.tsc.2014.04.003

Zehavi, N., & Mann, G. (2005). Instrumented Techniques and Reflective Thinking in Analytic Geometry. The Mathematics Enthusiast, 2(2), 83–92.




DOI: http://dx.doi.org/10.24127/ajpm.v12i2.5192

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