The Reflective and Impulsive Graduate Student’s Creativity Problem Solving of Three Variables of Linear Equations System
Abstract
The challenge for prospective mathematics teachers in the future is to have a good mastery of the material, be able to solve math problems and think creatively. So that later they will be able to guide their students to develop creativity in 21st-century life. Cognitive style and learning influence the establishment of the creativity of mathematical problem-solving. The purpose of the study was to describe the creativity of students with reflective and impulsive cognitive styles in solving problems of a three-variable linear equation system. The research was carried out using descriptive-qualitative research methods. The research subjects were the Mathematics Education Study Program students at the University of Palangka Raya. The research instrument uses the Matching Familiar Figure Test, a problem-solving ability test, and an analytic rubric. Data were analyzed by scatterplot, pie diagram, reduction, triangulation, and inference. Research findings on students with reflective cognitive style in stages (1) understand problems and develop mathematical models with fluency, flexibility, originality, and elaboration; (2) complete the plan with fluency, flexibility, and elaboration; (3) check the results with fluency and elaboration. Students with impulsive cognitive styles are only in the stage of understanding the problem with fluency, novelty, and elaboration indicators.
Tantangan bagi calon guru matematika di masa depan harus menguasai materi, mampu memecahkan masalah matematika dan kreativitas berpikir yang baik. Agar nantinya mereka mampu membimbing para siswanya mengembangkan kreativitas dalam kehidupan abad 21. Gaya kognitif dan pembelajaran berpengaruh terhadap pembentukan kreativitas memecahkan masalah matematika. Tujuan penelitian mendeskripsikan kreativitas mahasiswa dengan gaya kognitif reflektif dan impulsif memecahkan masalah sistem persamaan linier tiga variabel, Penelitian dilaksanakan dengan metode penelitian deskriptif-kualitatif. Subjek penelitian adalah mahasiswa Program Studi Pendidikan Matematika Universitas Palangka Raya. Instrumen penelitian menggunakan Matching Familiar Figure Test, tes kemampuan pemecahan masalah dan rubrik analitik. Data dianalisis dengan scatterplot dan pie diagram, reduksi, triangulasi dan penyimpulan. Temuan penelitian pada mahasiswa dengan gaya kognitif reflektif pada tahap-tahap (1) memahami masalah dan menyusun model matematika dengan kefasihan, keluwesan, kebaharuan, dan elaborasi; (2) menyelesaikan rencana dengan fasihan, keluwesan, dan elaborasi; (3) memeriksa hasil dengan kefasihan dan elaborasi. Mahasiswa dengan gaya kognitif impulsif hanya tahap memahami masalah dengan indikator kefasihan, kebaharuan, dan elaborasi.
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Chen, C. (2021). A study on the relationship between reflective-impulsive cognitive styles and oral proficiency of efl learners. Theory and Practice in Language Studies, 11(7), 836–841. https://doi.org/10.17507/tpls.1107.10
Creswell, J. . (2020). Research Design ,Qualitative, Quantitative, and Mixed Methods Approaches. Los Angelos: SAGE Publication.
Denzin, N.K. & Lincoln, Y.S. 2005. Handbook of Qualitative Research. Thousand Oaks: SAGE Publication.
Elo, S., Kääriäinen, M., Kanste, O., Pölkki, T., Utriainen, K., & Kyngäs, H. (2014). Qualitative Content Analysis. SAGE Open, 4(1), 215824401452263. https://doi.org/10.1177/2158244014522633
Fadiana, M. (2016). Perbedaan Kemampuan Menyelesaikan Soal Cerita antara Siswa Bergaya Kognitif Reflektif dan Impulsif. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 1(1), 79–89.
https://doi.org/10.23917/jramathedu.v1i1.1775
Faradillah, A., Hadi, W., & Tsurayya, A. (2018). Pre-service mathematics teachers’ reasoning ability in solving mathematical non-routine problem according to cognitive style. Journal of Physics: Conference Series, 948(1), 1–6. https://doi.org/10.1088/1742-6596/948/1/012006
Giancola, M., Palmiero, M., Piccardi, L., & D’amico, S. (2022). The Relationships between Cognitive Styles and Creativity: The Role of Field Dependence-Independence on Visual Creative Production. Behavioral Sciences, 12(7), 212, 12 pages.
https://doi.org/10.3390/bs12070212
Guinungco, H., & Roman, A. (2020). Abstract Reasoning and Problem-Solving Skills of First Year College Students. Southeast Asian Journal of Science and Technology, 5(1), 33-39.
Indriyani, I., Rizqi, U., & Mahmudah, U. (2020). Bagaimana Kreativitas Dan Keaktivan Mahasiswa Mempengaruhi Pemahaman Materi Abstrak Matematika Melalui E-Learning. Al Khawarizmi: Jurnal Pendidikan Dan Pembelajaran Matematika, 4(2), 112-131.
https://doi.org/10.22373/jppm.v4i2.8130
Kagan, J. (2016). Reflection-Impulsivity and Reading Ability in Primary. Jstor, 36(3), 609–628.
Kagan, J., Rosman, B. L., Day, D., Albert, J., & Phillips, W. (1964). Information processing in the child: Significance of analytic and reflective attitudes. Psychological Monographs: General and Applied, 78(1), 1–37.
https://doi.org/10.1037/h0093830
Khalid, M., Saad, S., Abdul Hamid, S. R., Ridhuan Abdullah, M., Ibrahim, H., & Shahrill, M. (2020). Enhancing creativity and problem solving skills through creative problem solving in teaching mathematics. Creativity Studies, 13(2), 270–291.
https://doi.org/10.3846/cs.2020.11027
Kwon, O. N., Park, J. S., & Park, J. H. (2006). Cultivating divergent thinking in mathematics through an open-ended approach. Asia Pacific Education Review, 7(1), 51–61.
https://doi.org/10.1007/BF03036784
Lahinda, Y., & Jailani, J. (2015). Analisis Proses Pemecahan Masalah Matematika Siswa Sekolah Menengah Pertama. Jurnal Riset Pendidikan Matematika, 2(1), 148-161.
https://doi.org/10.21831/jrpm.v2i1.7157
Malekian, F., & Fathi, H. (2012). Planning and Production of Mathematic Teaching Courseware for School Elementary Second Grade and Evaluation of its Effect on Academic Achievement (Summation Topic) and Learner’s Creativity. Procedia - Social and Behavioral Sciences, 46, 780–784. https://doi.org/10.1016/j.sbspro.2012.05.198
Marliani, N. (2015). Peningkatan Kemampuan Berpikir Kreatif Matematis Siswa melalui Model Pembelajaran Missouri Mathematics Project (MMP). Formatif: Jurnal Ilmiah Pendidikan MIPA, 5(1), 14–25.
https://doi.org/10.30998/formatif.v5i1.166
Maulana, G., Junaedi, I., I, S. D. N. C., & Barat, J. (2020). Pattern of Problem Solving Skill Reviewed Based on Student Cognitive Style After Experienced Problem Based Learning Model With Ethnomathematics Nuances. Journal of Primary Education, 9(2), 209–219.
Miatun, A., & Nurafni, N. (2019). Profil kemampuan berpikir kreatif matematis ditinjau dari gaya kognitif reflective dan impulsive. Jurnal Riset Pendidikan Matematika, 6(2), 150–164. https://doi.org/10.21831/jrpm.v6i2.26094
Minchekar, V. S. (2017). The Role of Cognitive Style in Creative Thinking among College Students. Psychology and Behavioral Science International Journal, 6(1), 555679.
https://doi.org/10.19080/pbsij.2017.06.555679
Mubarika, M. P., Faiqoh, E., Susilawati, S., Raharjo, T. D., & Yaniawati, P. (2022). Pengaruh Kemampuan Berpikir Kreatif Matematis Terhadap Self-Regulated Learning Siswa Melalui Pendekatan Scientific. Kreano, Jurnal Matematika Kreatif-Inovatif, 13(1), 126–135.
Nurhayati, N., & Rahardi, R. (2021). Kemampuan Berpikir Kreatif Mahasiswa Dalam Mengembangkan Media Pembelajaran Matematika Saat Pandemi Covid-19. Pembelajaran Matematika Inovatif, 4(2), 331–342.
https://doi.org/10.22460/jpmi.v4i2.331-342
Pehkonen, E. & H. (1997). The state-of-art in mathematical creativity. ZDM - International Journal on Mathematics Education, 29(3), 63–67. https://doi.org/10.1007/s11858-997-0001-z
Purnomo, R. C., Sunardi, S., & Sugiarti, T. (2017). Profil Kreativitas dalam Pemecahan Masalah Matematika Ditinjau dari Gaya Kognitif Field Independent (FI) dan Field Dependent (FD) Siswa Kelas VIII A SMP Negeri 12 Jember. Jurnal Edukasi, 4(2), 9.
https://doi.org/10.19184/jukasi.v4i2.5203
Rozencwajg, P., & Corroyer, D. (2005). Cognitive processes in the reflective-impulsive cognitive style. Journal of Genetic Psychology, 166(4), 451–463. https://doi.org/10.3200/GNTP.166.4.451-466
Schoenfeld, A. H. (2016). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196(2), 1–38. https://doi.org/10.1177/002205741619600202
Seçer, Z., Çeliköz, N., Koçyiǧit, S., Seçer, F., & Kayili, G. (2009). Social skills and problem behaviour of children with different cognitive styles who attend preschool education. Procedia - Social and Behavioral Sciences, 1(1), 1554–1560. https://doi.org/10.1016/j.sbspro.2009.01.273
Setiawan, W. (2016). Profil Berpikir Metaforis (Metaphorical Thinking) Siswa SMP dalam Memecahkan Masalah Pengukuran Ditinjau dari Gaya Kognitif. Kreano, Jurnal Matematika Kreatif-Inovatif, 7(2), 208–216.
https://doi.org/10.15294/kreano.v7i2.7127
Shoimah, R. N., Lukito, A., & Siswono, T. Y. E. (2018). The Creativity of Reflective and Impulsive Selected Students in Solving Geometric Problems. Journal of Physics: Conference Series, 947(1), 0–6. https://doi.org/10.1088/1742-6596/947/1/012023
Silma, U., Sujadi, I., & Nurhasanah, F. (2019). Analysis of students’ cognitive style in learning mathematics from three different frameworks. AIP Conference Proceedings, 2194(December). https://doi.org/10.1063/1.5139850
Siswono, T. Y. E. (2008). Proses Berpikir Kreatif Siswa Dalam Memecahkan dan Mengajukan Masalah Matematika. Jurnal Ilmu Pendidikan, Februari, 60–68.
Son, A. L., Darhim, & Fatimah, S. (2020). Students’ mathematical problem-solving ability based on teaching models intervention and cognitive style. Journal on Mathematics Education, 11(2), 209–222. https://doi.org/10.22342/jme.11.2.10744.209-222
Stahl, A. N., & King, J. R. (2020). Expanding approaches for research:Understanding and using trustworthiness in qualitative research. Journal of Developmental Education, 44(1), 1–28.
Suripah, S., & Sthephani, A. (2017). Kemampuan berpikir kreatif matematis mahasiswa dalam menyelesaikan akar pangkat persamaan kompleks berdasarkan tingkat kemampuan akademik. Pythagoras: Jurnal Pendidikan Matematika, 12(2), 149–160.
Viator, R. E., Wu, Y.-J., & Viator, A. S. (2022). Testing the validity and reliability of the Matching Familiar Figures Test-2021: An updated behavioral measure of reflection–impulsivity. Frontiers in Psychology, 13(November), 1–14. https://doi.org/10.3389/fpsyg.2022.977808
Warli. (2010). Pembelajaran Kooperatif Berbasis Gaya Kognitif Reflektif-Impulsif (Studi Pendahuluan Pengembangan Model KBR-I). Prosiding Seminar Nasional Penelitian, Pendidikan Dan Penerapan MIPA, M–567, 567–574.
Warli. (2013). Kreativitas Siswa SMP yang Bergaya Kognitif Reflektif atau Impulsif dalam Memecahkan Masalah Geometri. Jurnal Pendidikan Dan Pembelajaran, 20(2), 190–210.
Widyastuti, E., & Jusra, H. (2022). Mathematical Critical Thinking Ability in Solving HOTS Problems Based on Cognitive Style and Gender. Prisma Sains : Jurnal Pengkajian Ilmu Dan Pembelajaran Matematika Dan IPA IKIP Mataram, 10(3), 535.
https://doi.org/10.33394/j-ps.v10i3.5217
Wijers, M., & de Haan, D. (2020). Mathematics in Teams—Developing Thinking Skills in Mathematics Education. Springer International Publishing.
https://doi.org/10.1007/978-3-030-33824-4_2
Wilda, Salwah, & Ekawati, S. (2017). Pengaruh kreativitas dan minat belajar terhadap hasil belajar matematika siswa. Pedagogy: Jurnal Pendidikan Matematika, 2(1), 134–144.
Wulandari, N. H., Widayati, K. A., & Suryobroto, B. (2016). Cognitive Style and Creative Quality: Influence on Academic Achievement of University Students in Indonesia. HAYATI Journal of Biosciences, 23(3), 121–124. https://doi.org/10.1016/j.hjb.2016.09.001
Yulianto, H., Dwijanto, D., Mulyono, M., Gusti Afandi Rani, J., & Barat, K. (2021). Mathematics Creative Thinking Skills in Creative Problem Solving Based on Cognitive Style. Unnes Journal of Mathematics Education Research, 10(2), 180–187.
Zakiah, N. E. (2020). Level kemampuan metakognitif siswa dalam pembelajaran matematika berdasarkan gaya kognitif. 7(2), 132–147.
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