Penerapan Pohon Keputusan untuk Memetakan Gaya Kognitif Berdasarkan Kesalahan Siswa dalam Berpikir Aljabar Menurut Teori Newman
Abstract
An understanding of Field Independent (FI) and Field Dependent (FD) cognitive styles is important for teachers because these two styles affect the way students understand and process information, which ultimately has an impact on the effectiveness of learning. This study aimed to build a decision tree model to map the cognitive style of students based on errors that students make in solving algebra problems according to Newman's error theory. The method used in this study was a quantitative approach with the ID3 algorithm in decision tree modeling. The instruments used include the GEFT test to identify students' cognitive style and the basic algebra ability test containing 6 aspects of algebra ability according to Lew, i.e. generalization, abstraction, analytical thinking, dynamic thinking, modeling, and organization. The decision tree model was built based on the errors made by students according to Newman's error theory. The results showed that the decision tree generated from algebra problems in the generalization aspect had an accuracy of 82.5%. This decision tree has a main attribute in the form of process skill errors, which can map the cognitive style of students as FI or FD. This decision tree formed three implication rules, which became the basis for classifying the cognitive style of students. This finding was expected to be a guide for teachers in designing a more adaptive and efficient learning strategy with an approach that is on the cognitive style of students to improve students' algebraic thinking ability.
Keywords: Cognitive Style, Algebraic Thinking Ability, Decision Tree, Newman's Error Theory
References
Arianti, S. E. Y. (2020). Analisis Kesalahan Peserta Didik Dalam Menyelesaikan Masalah Matematika Berdasarkan Tahapan Newman Ditinjau dari Perbedaan Gender. Postulat: Jurnal Inovasi Pendidikan Matematika, 1(1), 11-24. http://dx.doi.org/10.30587/postulat.v1i1.1681
Astutik, E. P., & Purwasih, S. M. (2023). Field Dependent Student Errors in Solving Linear Algebra Problems Based on Newman's Procedure. Mosharafa: Jurnal Pendidikan Matematika, 12(1), 169-180. https://doi.org/10.31980/mosharafa.v12i1.765
Badriani, I., Wyrasti, A. F., & Tanujaya, B. (2022). Student Errors in Solving HOTS Based-Match Story Problems with Newman’s Theory. Jurnal Elemen, 8(1), 77–88. https://www.researchgate.net/profile/Benidiktus-Tanujaya/publication
Bintoro, H. S., Sukestiyarno, Y. L., Mulyono, M., & Walid, W. (2022). The spatial thinking Process of The Field-Dependent Students in Reconstructing The Geometrical Concept. International Journal of Evaluation and Research in Education, 11(3), 1116–1124. https://doi.org/10.11591/ijere.v11i3.22399
Choina, I., Aulia, R., & Zakir, A. (2020). Penerapan Algoritma ID3 untuk Menyeleksi Pegawai Kontrak di Kantor Pengadilan Kota Langsa. CESS (Journal of Computer Engineering System and Science), 5(1), 47–52. https://doi. org/10.24114/cess. v5i1. 15146.
Gulo, F., Harefa, A. O., & Telaumbanua, Y. N. (2022). Analisis Hasil Belajar Matematika ditinjau dari Gaya Kognitif berdasarkan Revisi Taksonomi Bloom pada Peserta Didik di SMK Negeri 1 Mandrehe. Formosa Journal of Applied Sciences, 1(5), 625 – 636. https://doi.org/10.55927/fjas.v1i5.1365
Hayah, N., Mallo, B., & Murdiana, I. N. (2019). Profil Pemahaman Konsep Matematika ditinjau dari Gaya Kognitif Field Independent (FI) dan Field Dependent (FD). Aksioma, 8(2), 137 – 150. https://doi.org/10.22487/aksioma.v8i2.210
Jun, V., Hariyani, S., & Murniasih, T. R. (2022). Analisis Kesalahan Peserta Didik dalam Penyelesaian Soal Cerita Teorema Pythagoras berdasarkan Teori Newman. Journal Focus Action of Research Mathematic (Factor M), 4(2), 139–152. https://doi.org/10.30762/factor_m.v4i2.3722
Karouw, A. A. E., Tumalun, N. K., & Monoarfa, J. F. (2023). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Bentuk Aljabar Menggunakan Prosedur Newman. Jurnal Sains Riset, 13(1), 41-46. https://doi.org/10.47647/jsr.v13i1.874
Miranda, P., Sumartono, & Lusiana, P. (2024). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Transformasi Geometri Berdasarkan Teori Newman Dintinjau dari Gaya Belajar Siswa. JSIM: Jurnal Ilmu Sosial Dan Pendidikan, 5(2), 336-347. https://doi.org/http://doi.org/10.36418/syntax-imperatif.v5i2.410 2721-2246
Nengsih, L. W., & Yulianti, R. (2022). Analisis Kesalahan Newman Mahasiswa dalam Menyelesaikan Soal Lingkaran Berdasarkan Gaya Kognitif. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(3), 2406-2417. http://dx.doi.org/10.24127/ajpm.v11i3.5155
Nugraha, S. N., Supratman, Rahayu, V. D. (2023). Analisis Kesalahan Peserta Didik dalam Menyelesaikan Soal Cerita Berdasarkan Analisis Newman Ditinjau dari Gaya Kognitif. PRISMA, 12(1), 150–161. https://doi.org/10.35194/jp.v12i1.2733
Pramasdyahsari, A. S., Amillia, S., & Sugiyanti, S. (2023). Identifikasi Kesalahan Siswa dalam Menyelesaikan Soal SPLDV PISA-Like Berdasarkan Gaya Kognitif Reflektif-Impulsif: Newman Error Analysis. Cakrawala Jurnal Ilmiah Bidang Sains, 1(2), 61–72. https://doi.org/10.28989/cakrawala.v1i2.1471
Putri, A., & Nasution, E. Y. P. (2023). Kemampuan Pemahaman Konsep Matematis Siswa MTs dalam Menyelesaikan Masalah Matematika pada Materi Bentuk Aljabar. Plusminus: Jurnal Pendidikan Matematika, 3(1), 127-138. https://doi.org/10.31980/plusminus.v3i1.1229
Putri, S., Husna, A., & Agustyaningrum, N. (2021). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Barisan dan Deret berdasarkan Teori Newman ditinjau dari Gaya Kognitif. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(1), 522–532. https://doi.org/10.31004/cendekia.v5i1.506
Ratnaningsih, N., Hidayat, E., & Santika, S. (2020). Problem Solving and Cognitive Style: An Error Analysis. In Journal of Physics: Conference Series, 1657(1), 012035. IOP Publishing.
Rizki, N. A., Mumtaza, M., Dewi, C. F., Syahlafandi, D., & Fendiyanto, P. (2023). Implementasi Pohon Keputusan untuk Klasifikasi Cara Belajar Mahasiswa Mandiri dan Berkelompok Berdasarkan Sumber Belajarnya. Prosiding Seminar Nasional Pendidikan Matematika, Universitas Mulawarman, 3, 101–106. https://jurnal.fkip.unmul.ac.id/index.php/psnpm
Safira, D., Wibawa, K. A., & Noviyanti, P. L. (2023). Analisis Kesalahan Siswa Berdasarkan Prosedur Newman dalam Menyelesaikan Soal Tipe Pemecahan Masalah ditinjau dari Gaya Kognitif FI dan FD. Jurnal Pembelajaran dan Pengembangan Matematika, 3(1), 53 – 62. https://doi.org/10.36733/pemantik.v3i1.6249
Sobirin, J. H., Setiawan, Y. E., & Faradiba, S. S. (2023). Mathematical Representations Based on Field-Dependent and Field-Independent Cognitive Styles. JME (Journal of Mathematics Education), 8(2), 137-149. https://usnsj.id/index.php/JME/article/view/1981
Susanto, E., Susanta, A., & Rusdi, R. (2021). Analisis Kemempuan Siswa Smp/Mts Kota Bengkulu Dalam Menyelesaikan Soal Matematika TIMSS. Jurnal Theorems, 5(2), 131-139. http://dx.doi.org/10.31949/th.v5i2.2567
Susanto, F., Siswono, T. Y. E., & Ismail, I. (2024). Berpikir Visual Siswa SMA dalam Memecahkan Masalah Tiga Dimensi Berdasarkan Gaya Kognitif Field Dependent dan Field Independent. EDUKASIA: Jurnal Pendidikan dan Pembelajaran, 5(1), 1351 – 1360. https://doi.org/10.62775/edukasia.v5i1.1034
Wibawa, K. A., Pratiwi, N. K. I. W., & Wena, I. M. (2023). Analysis Of Student Error Based On Newman's Procedure In Solving Hots Types Reviewing From Cognitive Style FI And FD. Prima: Jurnal Pendidikan Matematika, 7(1), 1-14. https://jurnal.umt.ac.id/index.php/prima/article/view/6761
Wilujeng, H. (2023). Analisis Kemampuan Berpikir Aljabar Berdasarkan Teori Kriegler Ditinjau Dari Asal Sekolah. Jurnal Penelitian Dan Pembelajaran Matematika, 16(2), 217–227. http://dx.doi.org/10.30870/jppm.v16i2.19635
Wulandari, S. (2023). Kesulitan Belajar Siswa Dalam Berpikir Tingkat Tinggi Berdasarkan Teori Newman. Jurnal Tunas Bangsa, 10(1), 48-59. https://doi.org/10.46244/tunasbangsa.v10i1.2020
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