Analisis Kemampuan Berpikir Aljabar Ditinjau dari Gaya Kognitif Siswa

Fitria Legi Adilawati, Khamida Siti Nur Atiqoh, Eva Musyrifah

Abstract


The low ability of algebraic thinking in solving math problems is still a problem. One of the causes is that many students still make mistakes when solving math problems. This study aims to describe the algebraic thinking ability of high school students, cognitive style of Field Independent (FI) and Field Dependent (FD) students, determine the relationship and the magnitude of the influence between algebraic thinking ability with cognitive style of students. This research was conducted at 38 Senior High School  Jakarta, 66 Senior High School Jakarta, and 97 Senior High School Jakarta in the 2023/2024 school year. This research is a quantitative descriptive research, the test instrument is 6 items of description of algebraic thinking ability and GEFT test instrument developed by Witkin. The results showed that students' algebraic thinking ability was in the moderate category. Of the 102 respondents, 59% of students have FI cognitive style about 41% of students have FD cognitive style. There is a significant difference that students with FI cognitive style better than students with FD cognitive style. There is an influence between the cognitive style of students on the ability to think algebraically by 16.70%.


Keywords


Algebraic Thinking Skill; Cognitive Style; Field Independent (FI), Field Dependent (FD)

Full Text:

PDF

References


A. Lingga dan W. Sari, “Pengaruh Kemampuan Berpikir Aljabar Terhadap Kemampuan Pemecahan Masalah Matematika (Studi Kasus Di Kelas VIII SMP Negeri 1 Kaliwedi Kabupaten Cirebon),” Pendidik. Mat., vol. 2, no. 2, 2013, doi: 10.24235/eduma.v2i2.45.

NCTM, “Standards for the Preparation of Secondary Mathematics Teachers,” Natl. Counc. Teach. Math. Inc., no. May, hal. 1–84, 2020.

K. Herbert dan R. H. Brown, “Patterns As Tools for Algebraic Reasoning - 1.” 1997.

M. E. Nggaba dan A. L. Ngaba, “Kemampuan Berpikir Aljabar Siswa dalam Menyelesaikan Masalah Matematika Berbasis Kearifan Lokal,” Satya Widya, hal. 97–104, 2021.

Y. H. Nada, S. Prabawanto, dan Suhendra, “Characteristics of students’ mathematical representation in solving algebraic thinking problems,” J. Phys. Conf. Ser., vol. 1521, no. 3, 2020, doi: 10.1088/1742-6596/1521/3/032009.

I. Farida dan D. Lukman Hakim, “Kemampuan Berpikir Aljabar Siswa Smp Pada Materi Sistem Persamaan Linear Dua Variabel (Spldv),” J. Pembelajaran Mat. Inov., vol. 4, no. 5, hal. 1123–1136, 2021, doi: 10.22460/jpmi.v4i5.1123-1136.

D. Aprildat dan D. L. Hakim, “High School Students’ Algebraic Thinking Ability in Solving Linear Program ProblemsHigh School Students’ Algebraic Thinking Ability in Solving Linear Program Problems,” Mathline J. Mat. dan Pendidik. Mat., vol. 6, no. 2, hal. 222–237, 2021, doi: 10.31943/mathline.v6i2.216.

M. Muthmainnah, N. Priatna, dan B. A. Priatna, “Analysis of Students’ Error in Algebraic Thinking Test,” J. Phys. Conf. Ser., vol. 895, no. 1, hal. 6–11, 2017, doi: 10.1088/1742-6596/895/1/012089.

S. La Resi, H. Samparadja, dan J. Masuha, “Pengaruh Model Pembelajaran Berbasis Masalah Terhadap Kemampuan Berpikir Aljabar Siswa Dalam Memecahkan Masalah Matematika Pada Siswa Kelas VII MTs Negeri 2 Kendari,” J. Penelit. Pendidik. Mat., vol. 7, no. 2, hal. 29, 2019, doi: 10.36709/jppm.v7i2.8267.

P. P. Meilani, T. Rohaeti, dan J. Rahmatudin, “Profil Kemampuan Berpikir Aljabar Siswa Smp Pada Materi Luas Permukaan Kubus,” Integr. Pendidik. Mat., vol. 13, no. 1, hal. 26–39, 2022, doi: 10.32534/jnr.v13i1.3109.

L. Sugiarti, “Kesulitan Siswa dalam Menyelesaikan Soal Operasi Bentuk Aljabar,” Pros. Semin. Nas. Etnomatnesia, hal. 323–330, 2018.

G. Setyawan dan D. Hayuhantika, “Proses Berpikir Aljabar Siswa Dalam Memecahkan Masalah Generalisasi Pola Berdasarkan Gaya Kognitif,” JP2M (Jurnal Pendidik. dan Pembelajaran Mat., vol. 4, no. 2, hal. 76, 2019, doi: 10.29100/jp2m.v4i2.958.

P. Somasundram, “The Role of Cognitive Factors in Year Five Pupils’ Algebraic Thinking: A Structural Equation Modelling Analysis,” Eurasia J. Math. Sci. Technol. Educ., vol. 17, no. 1, hal. 1–12, 2021, doi: 10.29333/ejmste/9612.

K. A. Muyassaroh dan Masduki, “Profil Berpikir Aljabar Siswa dalam Menyelesaikan Permasalahan Generalisasi dan Berpikir Dinamis Ditinjau dari Gaya Kognitif FI-FD,” FIBONACCI J. Pendidik. Mat. dan Mat., vol. 9, no. 1, hal. 27–42, 2023.

A. Alvinaria, A. Lukito, dan P. Wijayanti, “Identification of Field Independent and Field Dependent Students’ Algebraic Thinking Using SOLO Taxonomy,” J. Ris. Pendidik. dan Inov. Pembelajaran Mat., vol. 5, no. 2, hal. 142–165, 2022, doi: 10.26740/jrpipm.v5n2.p142-165.

N. M. B. Gusau, M. M. M, dan A. R. Jamali, “The Effect of Cognitive Style on Problem Solving Skills in Final Year Undergraduate Project,” Natl. Acad. Manag. Staff Cult. Arts Her., vol. 1, no. October, 2018.

A. F. Wati, A. Setiawan, dan M. S. Anwar, “Analisis Kesulitan Belajar Siswa Dalam Menyelesaikan Matematika Ditinjau Dari Gaya Kognitif,” Delta-Phi J. Pendidik. Mat., vol. 1, no. 2, hal. 165–171, 2023, doi: 10.61650/dpjpm.v1i2.84.

E. Sohilait, Metodologi Penelitian Pendidikan Matematika. Bandung: CV.Cakra, 2020.

Witkin, H. A., Moore, C. A., Goodenough, D. R., dan Cox, P. W., “Field-Dependent and Field-Independent Cognitive Styles and Their Educational Implications,” Rev. Educ. Res., vol. 47, no. 1, hal. 1–64, 1977, [Daring]. Tersedia pada: http://links.jstor.org/sici?sici=0034-6543(197724)47:1%3C1:FAFCSA%3E2.0.CO;2-R

H.-C. Lew, “Developing Algebraic Thinking in Early Grades: Case Study of Korean Elementary School Mathematics,” Math. Educ., vol. 8, no. 1, hal. 88–106, 2004.

S. Arikunto, Dasar-Dasar Evaluasi Pendidikan Edisi 3. Bumi Aksara, 2021. [Daring]. Tersedia pada: https://books.google.co.id/books?id=j5EmEAAAQBAJ

D. Lestari, M. Rahman, dan Nursalam, “Analisis Kemampuan Berpikir Aljabar Siswa dengan Menggunakan Newman’s Error,” J. Akad. Pendidik. Mat., vol. 10, no. No.1, hal. 37–42, 2024.

R. T. I. Munthe dan D. L. Hakim, “Analisis Kemampuan Berpikir Aljabar Siswa SMP Dalam Menyelesaikan Masalah Sistem Persamaan Linear Dua Variabel (SPLDV),” Prisma, vol. 11, no. 2, hal. 371, 2022, doi: 10.35194/jp.v11i2.2388.

E. Musyrifah, D. Nurasiah, dan M. Hafiz, “Meningkatkan Kemampuan Berpikir Aljabar Siswa Dengan Pendekatan Realistic Mathematics Education (Rme),” Algoritm. J. Math. Educ., vol. 5, no. 1, hal. 13–25, 2023, doi: 10.15408/ajme.v5i1.32581.

D. Permatasari dan I. Harta, “Kemampuan Berpikir Aljabar Siswa Sekolah Pendidikan Dasar Kelas V Dan Kelas Vii: Cross-Sectional Study,” J. Pendidik. dan Kebud., vol. 3, no. 1, hal. 99–115, 2018, doi: 10.24832/jpnk.v3i1.726.

M. Riskon, N. Rachmani, N. Adhi, dan N. R. Dewi, “Pengaruh Disposisi Matematis terhadap Kemampuan Berpikir Aljabar Siswa Kelas XI MAS Simbang Kulon Pekalongan,” Pros. Semin. Nas. Mat., vol. 4, hal. 353–358, 2021, [Daring]. Tersedia pada: https://journal.unnes.ac.id/sju/index.php/prisma/article/view/45045

H. Ulya, “Hubungan Gaya Kognitif Dengan Kemampuan Pemecahan Masalah Matematika Siswa,” J. Konseling Gusjigang, vol. 1, no. 2, 2015, doi: 10.24176/jkg.v1i2.410.

F. Praba Sundari, F. Alghadari, A. Pendidikan matematika, dan S. Kusuma Negara, “Hubungan antara Gaya Kognitif Peserta Didik dan Hasil Belajar Matematika pada Materi Eksponen dan Logaritma,” Pros. Semin. Nas. Pendidik. STKIP Kusuma Negara II, no. 2018, hal. 8–16, 2018.

A. R. Z. Nisak, A. R. As’ari, R. Rahardi, dan Subanji, “The Relationship of Student’s Algrebraic Thinking and Cognitive Learning Style,” IndoMath Indones. Math. Educ., vol. 3, no. 2, hal. 70–77, 2020.

S. L. Yusrina dan M. Masriyah, “Profil Berpikir Aljabar Siswa SMP dalam Memecahkan Masalah Matematika Kontekstual Ditinjau dari Kemampuan Matematika,” MATHEdunesa, vol. 8, no. 3, hal. 477–484, 2019, doi: 10.26740/mathedunesa.v8n3.p477-484.

P. K. Aprilianti, “Desain Bahan Ajar Berbasis Representasi Matematis pada Materi Fungsi Komposisi dan Fungsi Invers,” J. Res. Sci. Math. Educ., vol. 1, no. 2, hal. 78–86, 2022, doi: 10.56855/jrsme.v1i2.57.




DOI: https://doi.org/10.37905/euler.v13i2.32947

Refbacks

  • There are currently no refbacks.


Copyright (c) 2025 Fitria Legi Adilawati, Khamida Siti Nur Atiqoh, Eva Musyrifah

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.


Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi has been indexed by:


 EDITORIAL OFFICE OF EULER : JURNAL ILMIAH MATEMATIKA, SAINS, DAN TEKNOLOGI

 Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo
Jl. Prof. Dr. Ing. B. J. Habibie, Tilongkabila, Kabupaten Bone Bolango 96554, Gorontalo, Indonesia
 Email: [email protected]
 +6287777-586462 (WhatsApp Only)
 Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi (p-ISSN: 2087-9393 | e-ISSN:2776-3706) by Department of Mathematics Universitas Negeri Gorontalo is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.  Powered by Public Knowledge Project OJS.