Restructuring of pseudo-thinking processes in solving mathematical problems investigated from reflective and impulsive cognitive style
DOI:
https://doi.org/10.29407/jmen.v9i2.20859Keywords:
Cognitive Style, Pseudo-Thinking, RestructuringAbstract
Many students assume that they have carried out the correct thinking process in solving problems, but in reality students only imitate the procedures carried out by the teacher without understanding mathematical concepts. This condition is called pseudo thinking. Errors in the structure of thinking can be solved by rearranging the wrong thought process, namely restructuring the thought process. This research uses a qualitative approach with the type of case study research conducted at class VIII SMPN 1 Sumbergempol. The subjects of the study consisted of 4 students divided into 2 impulsive cognitive style subjects and 2 reflective subjects. Selection of research subjects using purposive sampling techniques. Data collection techniques used were MFFT tests, problem solving tests, and interviews. Data analysis used the Spiral model with results 1) Fragmentation experienced by impulsive students, namely fragmentation of pseudo-incorrect thinking. 2) The fragmentation experienced by reflective students, namely the fragmentation of pseudo-true. 3) The application of restructuring to impulsive students who experience pseudo-wrong thinking can provide a complete structuring of thinking, so that students can solve problems in a structured and correct manner. 4) The application of restructuring to reflective students who experience pseudo-corruption can really provide a complete structuring of thinking, so that students can have the right mindset.
References
Ariswoyo, S., & Mujib, A. (2021). Analisis Berpikir Pseudo Penalaran Kovariasi Siswa dalam Menyelesaiakan Masalah Limit Fungsi. Jurnal Matematics Paedagogic, 6(1). 64-74 https://doi.org/10.36294/jmp.v6i1.1366
Azhil, I. M., Ernawati, A., Lutfianto, M., (2017). Profil Pemecahan Masalah Matematika Siswa Ditinjau dari Gaya Kognitif Reflektif dan Impulsif. JRPM (Jurnal Review Pembelajaran Matematika), 2(1), 60-68.. Doi: https://doi.org/10.15642/jrpm.2017.2.1.60-68
Hayuningrat, S., & Listiawan, T. (2018). Proses Berpikir Siswa dengan Gaya Kognitif Reflektif dalam Memecahkan Masalah Matematika Generalisasi Pola. Jurnal Elemen, 4(2), 183. https://doi.org/10.29408/jel.v4i2.752
Hurst, C., & Hurrell, D. (2020). Multiplicative Thinking: ‘Pseudo-procedures’ are Enemies of Conceptual Understanding. International Electronic Journal of Mathematics Education, 15(3), 1-12. https://doi.org/10.29333/iejme/8567
Istiqomah, N., & Rahaju, E. B., (2016). Proses Berpikir Siswa Sekolah Menengah Pertama (Smp) Dalam Menyelesaikan Soal Cerita Matematika Berdasarkan Gaya Kognitif Pada Materi Bangun Ruang Sisi Lengkung. Jurnal Ilmiah Pendidikan Matematika, 3(2), 59–66. DOI: https://doi.org/10.26740/mathedunesa.v3n2.p%25p
Ilma, R., Hamdani, A. S., & Lailiyah, S. (2017). Profil Berpikir Analitis Masalah Aljabar Siswa Ditinjau dari Gaya Kognitif Visualizer dan Verbalizer. Jurnal Review Pembelajaran Matematika, 2(1), 1–14. https://doi.org/10.15642/jrpm.2017.2.1.1-14
Isnania, I., Huda, N., & Hariyanto, H. (2021). Scaffolding on Student Construction Errors in Mathematics Problem Solving. Indonesian Journal of Science and Mathematics Education, 4(3), 313–323. https://doi.org/10.24042/ijsme.v4i3.10173
Khoiriyah, S. M., & Masriyah (2022). Kemampuan Pemecahan Masalah Siswa dalam Menyelesaikan Soal Cerita SPLTV Ditinjau dari Gaya Kognitif Reflektif-Impulsif. 11(2), 357-367. https://doi.org/10.26740/mathedunesa.v11n2.p357-367.
Kurniawati, N., Prayitno, S., Hayati, L., & Subarinah, S. (2022). Analisis Kemampuan Pemecahan Masalah Aritmatika Sosial Ditinjau dari Gaya Kognitif Impulsif dan Reflektif Siswa MTs. Griya Journal of Mathematics Education and Application, 2(2), 493–503. https://doi.org/10.29303/griya.v2i2.176
Kusmaryono, I., Ubaidah, N., & Basir, M. A. (2020). The Role Of Scaffolding In The Deconstructing Of Thinking Structure: A Case Study Of Pseudo-Thinking Process. Infinity Journal, 9(2), 247. https://doi.org/10.22460/infinity.v9i2.p247-262
Mardhiyatirrahmah, L., & Abdussakir, A. (2021). Restructuring of Students’ Thinking in Junior High School Through Defragmentation for Solving Mathematical Problems. Jurnal Ilmiah Kependidikan, 10(2), 95–102. http://jurnal.uin-antasari.ac.id/index.php/jtjik
Muslim, R. I., Usodo, B., & Pratiwi, H. (2021). Pseudo Thinking Process in Understanding the Concept of Exponential Equations. IOP Conference Series: Earth and Environmental Science, 1808(1). 1-10. https://doi.org/10.1088/1742-6596/1808/1/012043.
Nurhayati, I., Subanji, & Qohar, A. (2016). Berpikir Pseudo Siswa Dalam Memecahkan Masalah Pisa. Jurnal Pembelajaran Matematika, 3(1), 1-11.
Rahmatina, S., Sumarmo, U., & Johar, R. (2014). Tingkat Berpikir Kreatif Siswa dalam Menyelesaikan Masalah Matematika Berdasarkan Gaya Kognitif Reflektif dan Impulsif. Jurnal Didaktik Matematika, 1(1), 62–70.
Rahmi, L., & Prabawanto, S. (2021, October 19). Pseudo Thinking of the Social Arithmetic: A Case Study. https://doi.org/10.4108/eai.19-12-2020.2309146
Rosdiana, N., Sugiyanti, S., & Supandi, S. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP pada Materi Bangun Datar Segiempat. Imajiner: Jurnal Matematika dan Pendidikan Matematika, 4(2), 111-120. journal.upgris.ac.id/index.php/imajiner.
Simamora, E. W, & Akhiruddin, A. (2022). Analisis Kemampuan Literasi Numerasi Mahasiswa Ditinjau dari Gaya Kognitif Reflektif dan Impulsif. Jurnal Magister Pendidikan Matematika (JUMADIKA), 4(2), 89–95. https://doi.org/10.30598/jumadikavol4iss2year2022page89-95.
Subanji. (2015). Teori Kesalahan Kontruksi Konsep dan Pemecahan Masalah Matematika. UM Press.
Tyaningsih, R. Y., Novitasari, D., Hamdani, D., & Dwi Handayani, A. (2020). Pemberian scaffolding terhadap berpikir pseudo penalaran siswa dalam mengkonstruksi grafik fungsi. Journal of Science and Education (JSE), 1(1), 20–31. https://jse.rezkimedia.org/index.php/jse
Wahono, R. S. (2009). Defragmentasi Otak : Cara Cerdas Menjadi Cerdas. Ubb.Ac.Id. https://www.ubb.ac.id/index.php?page=artikel_ubb&&id=380
Warli, W. (2010). Profil Kreativitas Siswa yang Bergaya Kognitif Reflektif dan Siswa yang Bergaya Kognitif Impulsif dalam Memecahkan Geometri. Disertasi Doktor: Universitas Negeri Surabaya.
Wibawa, K. A. (2016a). Defragmenting Struktur Berpikir Pseudo dalam Memecahkan masalah matematika,. Depubblish.
Wibawa, K. A. (2016b). Karakteristik Berpikir Pseudo Dalam Pembelajaran Matematika. Jurnal Pendidikan Matematika, March, 1–16. https://doi.org/10.13140/RG.2.1.3907.3528
Wibawa, K. A., Nusantara, T., Subanji, S., & Parta, I. N. (2017). Fragmentation of Thinking Structure’s Students to Solving the Problem of Application Definite Integral in Area. International Education Studies, 10(5), 48-60. https://doi.org/10.5539/ies.v10n5p48
Wibowo, T., Purwoko, R. Y., Swaraswati, T., & Purworejo, U. M. (2019). Analisis Berpikir Pseudo Siswa IQ Normal dalam Pemecahan Masalah Matematika. 4(2), 115–127. https://doi.org/10.15642/jrpm.2019.4.2.115-127
Widari, N. K. H. T., & Susanah, S. (2020). Profil Berpikir Pseudo Peserta Didik Sma Dalam Memecahkan Masalah Matematika Ditinjau Dari Kemampuan Matematika. MATHEdunesa (Jurnal Ilmiah Pendidikan Matematika),9(1), 172-184. DOI: https://doi.org/10.26740/mathedunesa.v9n1.p172-184
Zahir, L. A. (2019). Restrukturisasi Proses Berpikir Pseudo Siswa dalam Menyelesaikan Masalah Matematika Garis Singgung Lingkaran. Universitas Muhammadiyah Malang.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
1. Copyright on any article is retained by the author(s).
2. The author grants the journal, right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.
3. 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.
4. 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.
5. The article and any associated published material is distributed under the Creative Commons Attribution 4.0 Internasional License