Relationship between Algebraic Thinking Ability and Student’s Mathematical Resilience

https://doi.org/10.51574/kognitif.v5i4.3908

Authors

  • Nazwa Aulia Rahma Mathematics Education Study Program, Faculty of Applied Sciences and Technology, Institut Pendidikan Indonesia Garut
  • Rostina Sundayana Mathematics Education Study Program, Faculty of Applied Sciences and Technology, Institut Pendidikan Indonesia Garut

Keywords:

Algebraic Thinking Ability , Mathematical Resilience

Abstract

Algebraic thinking ability and mathematical resilience are two essential elements that support each other in the mathematics learning process. This study aims to determine the relationship between students' algebraic thinking ability and their mathematical resilience. A quantitative correlational method with a cross-sectional design was employed. The population included all seventh-grade students at MTs Al-Musthofa Garut, with a sample of 30 students selected through purposive sampling. Research instruments consisted of an algebraic thinking ability test based on Lew (2004) indicators and a mathematical resilience questionnaire based on Sumarmo (2015) indicators. The validity of both instruments was verified through content and face validity by expert judgment from mathematics teachers, while reliability was calculated using Cronbach’s Alpha coefficients, yielding coefficient reliability 0.700 for the algebraic thinking test and coefficient reliability  0.832 for the mathematical resilience questionnaire. Data were collected in a single classroom session and analyzed using Spearman's correlation as the data were not normally distributed. The results showed a positive and significant relationship between algebraic thinking ability and mathematical resilience, with a correlation coefficient of 0.571 and a significance value of 0.001. These findings indicate that a higher level of algebraic thinking ability corresponds to a higher level of mathematical resilience. Practically, this study confirms that strengthening algebraic thinking skills through gradual and systematic practice can be an effective strategy to enhance students' resilience in learning mathematics.

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Author Biographies

Nazwa Aulia Rahma, Mathematics Education Study Program, Faculty of Applied Sciences and Technology, Institut Pendidikan Indonesia Garut

Mathematics Education Study Program, Faculty of Applied Sciences and Technology, Institut Pendidikan Indonesia Garut

Rostina Sundayana, Mathematics Education Study Program, Faculty of Applied Sciences and Technology, Institut Pendidikan Indonesia Garut

Mathematics Education Study Program, Faculty of Applied Sciences and Technology, Institut Pendidikan Indonesia Garut

References

Aini, I. N., & Hidayati, N. (2017). Tahap Perkembangan Kognitif Matematika Siswa SMP Kelas VII Berdasarkan Teori Piaget Ditinjau dari Perbedaan Jenis Kelamin. JJPPM: Jurnal Penelitian dan Pembelajaran Matematika, 10(2), 25–30. https://doi.org/https://dx.doi.org/10.30870/jppm.v10i2.2027

Akkan, S. N., & Horzum, T. (2024). Illuminating the Landscape of Mathematical Resilience : A Systematic Review. Journal of Pedagogical Research, 8(1), 312–338. https://doi.org/https://doi.org/10.33902/JPR.202420093

Alifiahaqsya, R. A., Sadieda, L. U., & Lailiyah, S. (2025). Kajian Semantik: Hubungan Kemampuan Berpikir Aljabar dan Resiliensi Matematis. Proximal, 8(1), 152–161. https://doi.org/https://doi.org/10.30605/proximal.v8i1.5037

Andani, C., Prawanti, D. A., Destiana, F., & Mutia, R. (2025). Analisis Hubungan Kecemasan Matematika Dengan Prestasi Belajar Siswa. Diskusi Panel Nasional Pendidikan Matematika, 11. https://perpus.unindra.ac.id/index.php/DPNPMunindra/article/view/8237

Attami, D., Budiyono, B., & Indriati, D. (2020). The mathematical problem-solving ability of junior high school students based on their mathematical resilience. Journal of Physics: Conference Series, 1469(1), 1–7. https://doi.org/10.1088/1742-6596/1469/1/012152

Dewi, I. L. R., & Handayani, I. (2025). Pengaruh Resiliensi Matematis dan Minat Belajar terhadap Kemampuan Pemecahan Masalah Matematis Siswa SMP Se-Kabupaten Bangka Barat. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 5(2), 787–801. https://doi.org/https://doi.org/10.51574/kognitif.v4i1.1661

Farida, I., & Hakim, D. L. (2021). Kemampuan Berpikir Aljabar Siswa SMP Pada Materi Sistem Persamaan Linear Dua Variabel (SPLDV). Jurnal Pembelajaran Matematika Inovatif, 4(5), 1123–1136. https://doi.org/10.22460/jpmi.v4i5.1123-1136

Fatimah, A. E., Purba, A., & Siregar, Y. A. (2021). Hubungan Resiliensi Matematis Terhadap Kemampuan Pemecahan Masalah Matematis Mahasiswa pada Mata Kuliah Matematika Dasar. Journal of Didactic Mathematics, 1(3), 151–157. https://doi.org/https://doi.org/10.34007/jdm.v1i3.470

Fazriansyah, M. F., Sirri, E. L., & Faturohman, I. (2025). Kontribusi Resiliensi Matematis Terhadap Hasil Belajar Matematika. Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika, 8(1), 310–319. https://doi.org/https://doi.org/10.30605/proximal.v8i1.5208

Hendi, M., Azmi, S., & Kertiyani, N. M. I. (2025). Hubungan Kemampuan Awal Terhadap Kemampuan Pemecahan Masalah Matematis Siswa. Journal of Classroom Action Research, 7(3), 994–1004. https://doi.org/https://doi.org/10.29303/jcar.v7i3.11940

Ismayanti, M., Masriyah, & Khabibah, S. (2022). Proses Berpikir Aljabar SIswa SMP dalam Menyelesaikan Masalah Matematika. Jurnal Education and Development, 10(3), 598–602. https://journal.ipts.ac.id/index.php/ED/article/view/4281

Kuncoro, K. S., & Juandi, D. (2023). The Effect of Module-Assisted Direct Instruction on Problem-Solving Ability Based on Mathematical Resilience. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, 7(1), 8–15. https://doi.org/10.31331/medivesveteran.v7i1.2137

Kurniawan, M. R., Agoestanto, A., & Wijayanti, K. (2023). Systematic Literature Review: Identifikasi Kemampuan Berpikir Aljabar dan Resiliensi Matematis pada Pembelajaran Matematika. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(3), 2208–2221. https://doi.org/10.31004/cendekia.v7i3.2442

Lestari, P. (2020). Pengembangan Media Pembelajaran Berbasis I-Spring Suite 8 Pada Mata Pelajaran Matematika Di Sekolah Menengah Pertama. Mathline: Jurnal Matematika dan Pendidikan Matematika, 5(1), 1–11. https://doi.org/https://doi.org/10.31943/mathline.v5i1.124

Lew, H. C. (2004). Developing Algebraic Thinking in Early Grades: Case Study of Korean Elementary School Mathematics. The Mathematics Educator, 8(1), 88–106. https://math.nie.edu.sg/ame/matheduc/tme/tmeV8_1/Hee-Chan Lew.pdf

Maesaroh, S., Sumarmo, U., & Hidayat, W. (2020). Mathematical Reasoning Ability and Resilience (Experiment With Senior High Students Using Inductive and Deductive Approach and Based On Studentâ€TMs Cognitive Stage). (JIML) Journal of Innovative Mathematics Learning, 3(3), 87–101. https://doi.org/10.22460/jiml.v3i3.p87-101

Masnia, Waluya, S. B., Dewi, N. R., & Sohilait, E. (2023). Proses Berpikir Aljabar Berdasarkan Metakognisi. FIBONACCI: Jurnal Pendidikan Matematika dan Matematika, 9(1), 89–94. https://doi.org/10.24853/fbc.9.1.89-94

Munthe, R. T. I., & Hakim, D. L. (2022). Analisis Kemampuan Berpikir Aljabar Siswa SMP Dalam Menyelesaikan Masalah Sistem Persamaan Linear Dua Variabel (SPLDV). Prisma, 11(2), 371–383. https://doi.org/10.35194/jp.v11i2.2388

Nurhana, N., & Mulbar, U. (2025). Analisis Dampak Lingkungan Belajar Terhadap Rendahnya Pemahaman Konsep Matematika pada Materi Aljabar Siswa SMP. Afore: Jurnal Pendidikan Matematika, 4(2), 148–160. https://doi.org/https://doi.org/10.57094/afore.v4i2.3887

Pajow, M. A., Regar, V. E., & Maukar, M. G. (2024). Hubungan antara Kemampuan Computational Thinking dan Pemahaman Konsep Matematika Siswa pada Materi Pola Bilangan. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 4(1), 544–553. https://doi.org/https://doi.org/10.51574/kognitif.v4i1.1661

Puspita, D. A., Anggoro, B. S., & Pratiwi, D. D. (2024). Riset Keterhubungan: Bagaimana Self confidence dan Resiliensi Matematis Mempengaruhi Penalaran dan Kecerdasan Numerik Siswa. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 4(3), 1174–1189. https://doi.org/https://doi.org/10.51574/kognitif.v4i3.2066

Rahmatiya, R., & Miatun, A. (2020). Analisis Kemampuan Pemecahan Masalah Matematis Ditinjau dari Resiliensi Matematis Siswa SMP. Teorema: Teori dan Riset Matematika, 5(2), 187–202. https://doi.org/10.25157/teorema.v5i2.3619

Salsabila, A., Hasanah, R. U., Sitepu, D. F. S. B., & Hasanah, S. Z. H. (2024). Studi Literatur Review : Analisis Kesulitan Belajar Mahasiswa Pendidikan Matematika. Jurnal Arjuna: Publikasi Ilmu Pendidikan, Bahasa dan Matematika, 2(3), 19–27. https://doi.org/10.23918/ijsses.v10i3p146

Saputro, G. B., & Mampouw, H. L. (2018). Profil Kemampuan Berpikir Aljabar Siswa SMP pada Materi Persamaan Linear Satu Variabel Ditinjau dari Perbedaan Gender. Numeracy, 5(1), 77–90. https://doi.org/https://doi.org/10.46244/numeracy.v5i1.325

Sari, N. P. N. K., Fuad, Y., & Ekawati, R. (2020). Profil Berpikir Aljabar Siswa SMP dalam Menyelesaikan Masalah Pola Bilangan. Kreano:Jurnal Matematika Kreatif-Inovatif, 11(1), 56–63. https://doi.org/http://dx.doi.org/10.15294/kreano.v11i1.22525

Sofya, A., Novita, N. C., Afgani, M. W., & Isnaini, M. (2024). Metode Survey : Explanatory Survey dan Cross Sectional dalam Penelitian Kuantitatif. Edu Society: Pendidikan, Ilmu Sosial, dan Pengabdian Kepada Masyarakat, 4(3), 1695–1708. https://doi.org/https://doi.org/10.56832/edu.v4i3.556

Sumarmo, U. (2015). Resiliensi Matematik (Mathematical Resilience). Available in Website:utari-sumarmo@dosen. stkipsiliwangi.ac,id.

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Published

2025-12-30

How to Cite

Rahma, N. A., & Sundayana, R. (2025). Relationship between Algebraic Thinking Ability and Student’s Mathematical Resilience. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 5(4). https://doi.org/10.51574/kognitif.v5i4.3908

Issue

Vol. 5 No. 4 (2025): October - December 2025

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Articles

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Copyright (c) 2025 Nazwa Aulia Rahma, Rostina Sundayana

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