Students’ Mathematical Reasoning in Learning Arithmetic Sequences through Contextual Teaching and Learning

Authors

  • Putri Azzahra Universitas Sriwijaya, Palembang, Indonesia, Indonesia
  • Yusuf Hartono Universitas Sriwijaya, Palembang, Indonesia, Indonesia

DOI:

https://doi.org/10.35706/sjme.v10i1.13195

Keywords:

Arithmetic Sequence, Contextual Teaching and Learning, Mathematical Reasoning Ability, Qualitative Approach

Abstract

This study aims to describe the mathematical reasoning abilities of tenth-grade students at SMA Pusri Palembang in learning arithmetic sequences after the implementation of the Contextual Teaching and Learning (CTL) model. The study was motivated by students’ difficulties in presenting mathematical statements, making conjectures, performing manipulations, and drawing logical conclusions. The CTL model was selected because it connects mathematical concepts with real-life contexts and encourages active student participation in the learning process. This research employed a qualitative descriptive method, with data collected through classroom observations, posttests, and interviews. Data analysis was conducted through data reduction, data display, and conclusion drawing. The results indicate that students’ mathematical reasoning abilities varied across different levels. Students in the high category were able to fulfill most indicators of mathematical reasoning, those in the moderate category met some indicators, while students in the low category experienced difficulties in understanding arithmetic sequence concepts. The implementation of the CTL model through context-based student worksheets (LKPD) was shown to enhance student engagement and support systematic reasoning in problem-solving processes, despite challenges related to limited time and unequal student participation.

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References

Agusfianuddin, A., Herman, T., & Turmudi, T. (2024). Difficulties in mathematical language and representation among elementary school students when solving word problems. Jurnal Elemen, 10(3), 567–581. https://doi.org/10.29408/jel.v10i3.25814.

Ariati, C., & Juandi, D. (2022). Kemampuan penalaran matematis: systematic literature review. LEMMA: Letters Of Mathematics Education, 8(2), 61–75. https://doi.org/10.22202/jl.2022.v8i2.5745.

Astriani, N., & Al Dhana, M. B. (2024). Kemampuan Penalaran Matematis Siswa Melalui Pendekatan Contextual Teaching and Learning. Jurnal THEOREMS (The Original Research of Mathematics), 8(2), 263–271. https://doi.org/10.31949/th.v8i2.7404.

Fatikhah, F. A., & Kusno, K. (2025). Problematika Berpikir Kreatif siswa Sekolah Dasar pada materi Pola Bilangan. JURNAL MathEdu (Mathematic Education Journal), 8(2), 10–18. https://doi.org/10.37081/mathedu.v8i2.7106

Fitria, M., Ferita, R. A., Roniannor, M., Yanti, W., & Hidayat, F. (2023). Deskripsi kemampuan penalaran matematis siswa SMP pada kompetensi barisan dan deret. Math Didactic: Jurnal Pendidikan Matematika, 9(2), 384–399. https://scholar.google.com/scholar?cluster=16231658658971270601&hl=en&oi=scholarr

Gustiadi, A., Agustyaningrum, N., & Hanggara, Y. (2021). Analisis kemampuan penalaran matematis siswa dalam menyelesaikan soal materi dimensi tiga. Jurnal Absis: Jurnal Pendidikan Matematika Dan Matematika, 4(1), 337–348. https://www.academia.edu/download/83135639/613.pdf

Handayani, T., Hartatiana, H., & Muslimahayati, M. (2020). Analisis kesalahan siswa dalam menyelesaikan soal cerita materi barisan dan deret aritmatika. PHI: Jurnal Pendidikan Matematika, 4(2), 160–168. http://dx.doi.org/10.33087/phi.v4i2.111

Hariyomurti, B., Prabawanto, S., & Jupri, A. (2020). Learning obstacle siswa dalam pembelajaran barisan dan deret aritmetika. Juring (Journal for Research in Mathematics Learning), 3(3), 283–292. http://dx.doi.org/10.24014/juring.v3i3.10118

Hartati, S. (2021). Analisis Kesulitan Siswa SMA dalam Memahami Materi Barisan dan Deret. SUPERMAT: Jurnal Pendidikan Matematika, 5(2), 85–95. https://doi.org/10.33627/sm.v5i2.728

Inayah, H., & Madawistama, S. T. (2024). Analisis Proses Berpikir Siswa Pada Materi Persamaan Kuadrat Berdasarkan Kemampuan Penalaran Matematis. Advances In Social Humanities Research, 2(1), 50–62. https://doi.org/10.46799/adv.v2i1.165

Khotimah, H., Astuti, T., & Khotimah, H. (2023). Contextual Teaching And Learning (CTL) Pada Pembelajaran Matematika Materi Barisan Dan Deret Aritmetika. Jurnal PEKA (Pendidikan Matematika), 7(1), 36–45. https://doi.org/10.37150/jp.v7i1.2258

Laksana, A. P. (2023). Model Pendidikan Karakter Dengan Landasan Komponen Contextual Teaching And Learning. JOCER: Journal of Civic Education Research, 1(1), 16–23. https://doi.org/10.60153/jocer.v1i1.10

Lubis, M. S., & Lubis, N. A. (2024). Analisis kemampuan argumentasi matematis siswa pada materi bangun ruang sisi datar ditinjau dari kemampuan awal matematika. Jurnal Pengembangan Pembelajaran Matematika (JPPM), 6(1), 63–78. https://doi.org/10.14421/jppm.2024.61.63-78

Mahmuzah, R., Sinaga, N. A., & Ainun, N. (2024). Peningkatan Kemampuan Penalaran Matematis Siswa SMP melalui Pendekatan Contextual Teaching and Learning. Mandalika Mathematics and Educations Journal, 6(1), 247–254. https://doi.org/10.29303/jm.v6i1.6963

Mayangkara, D., Risnuriawan, F., Anifah, H. L., Hidayati, R. N., Purwani, R., Jana, P., & Marsiyam, M. (2025). Meningkatkan Motivasi Belajar Matematika melalui Model Pembelajaran Teams Games Tournament (TGT) di Kelas XI ULP 2 SMK N 4 Yogyakarta. SJME (Supremum Journal of Mathematics Education), 9(2), 383-393. https://doi.org/10.35706/sjme.v9i2.188

Mazrur, M. (2020). Contextual teaching and learning dan gaya belajar, implikasi pada hasil belajar mata pelajaran fikih. Media Edukasi Indonesia. https://scholar.google.com/scholar?cluster=2834979743623026580&hl=en&oi=scholarr

Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. sage. https://books.google.com/books?hl=id&lr=&id=U4lU_-wJ5QEC&oi=fnd&pg=PA10&dq=Miles,+M.+B.,+%26+Huberman,+A.+M.+(1994).+Qualitative+data+analysis:+An+expanded+sourcebook.+sage.&ots=kGYF1LNUZV&sig=rwkYZNy5YDQXIlPwLJR9YAscYiY

Nababan, S. A. (2020). Analisis kemampuan penalaran matematis siswa melalui model problem based learning. Jurnal Genta Mulia, 11(1), 6–12. https://doi.org/10.61290/gm.v11i1.212

Nisa, S. K., Yohanie, D. D., & Darsono, D. (2024). Pengembangan Bahan Ajar Interaktif Berbantuan Aplikasi Book Creator dengan Model Problem Based Learning. SJME (Supremum Journal of Mathematics Education), 8(2), 265-282. https://doi.org/10.35706/sjme.v8i2.11553

Oktaviana, V., & Aini, I. N. (2021). Analisis Kemampuan Penalaran Matematis Siswa SMP Pada Materi Aritmatika Sosial. Maju, 8(1), 501921. https://www.neliti.com/publications/501921/analisis-kemampuan-penalaran-matematis-siswa-smp-pada-materi-aritmatika-sosial

Rahmah, B. N. U. R., & Maarif, S. (2021). Analisis Epistimologi Obstacles Terhadap Siswa Smp Kelas Vii Dengan Materi Statistika (Penyajian Data). Jurnal Matematika UNAND, 10(4), 510–518. https://doi.org/10.25077/jmu.10.4.510-518.2021

Rambe, A. Y. F., & Afri, L. D. (2020). Analisis kemampuan pemecahan masalah matematis siswa dalam menyelesaikan soal materi barisan dan deret. AXIOM: Jurnal Pendidikan Dan Matematika, 9(2), 175–187. https://doi.org/10.30821/axiom.v9i2.8069

Ramdan, M. G. A., & Roesdiana, L. (2022). Analisis kemampuan penalaran matematis siswa SMP pada materi teorema phytagoras. Jurnal Educatio FKIP UNMA, 8(1), 386–395. https://doi.org/10.31949/educatio.v8i1.1996

Ramdhan, M. (2021). Metode penelitian. Cipta Media Nusantara. https://books.google.com/books?hl=id&lr=&id=Ntw_EAAAQBAJ&oi=fnd&pg=PR1&dq=Ramdhan,+M.+(2021).+Metode+penelitian.+Cipta+Media+Nusantara.&ots=f3rJ6QNwbA&sig=fSGubxzMSdtrnmyLoYQFm3fzpUg

Relawati, R. (2024). Pengaruh Model Pembelajaran Contextual Teaching and Learning (CTL) terhadap Kemampuan Penalaran Matematis Siswa Kelas VIII DI SMP Negeri 14 Kota Jambi. Jurnal Ilmiah Dikdaya, 14(1), 294–300. https://scholar.google.com/scholar?cluster=3763087722818777840&hl=en&oi=scholarr

Rismen, S., Mardiyah, A., & Puspita, E. M. (2020). Analisis Kemampuan Penalaran dan Komunikasi Matematis Siswa. Mosharafa: Jurnal Pendidikan Matematika, 9(2), 263–274. http://download.garuda.kemdikbud.go.id/article.php?article=1972815&val=21041&title=Analisis%20Kemampuan%20Penalaran%20dan%20Komunikasi%20Matematis%20Siswa

Septianawati, E., & Abdilah, E. (2021). Kemampuan Penalaran Matematis Ditinjau dari Model Problem Based Learning dengan Contextual Teaching and Learning. Kontinu: Jurnal Penelitian Didaktik Matematika, 5(2), 80–87. https://scholar.google.com/scholar?cluster=4951568803285271410&hl=en&oi=scholarr

Sipakkar, T. R. B., & Anim, A. (2024). Analysis of Mathematical Reasoning Ability Based on Problem Based Learning Value Comparison Material. Holistic Science, 4(1), 87–91. https://doi.org/10.56495/hs.v4i1.509

Suhendra, S., Nindiasari, H., Yuhana, Y., & Mutaqin, A. (2025). SYSTEMATIC LITERATURE REVIEW: ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL MATEMATIKA BERDASARKAN KRITERIA WHATSON. Pedagogy: Jurnal Pendidikan Matematika, 10(3), 1234–1252. https://doi.org/10.30605/pedagogy.v10i3.6961

Syachputra, F. I. (2023). Kajian Teori: Pengembangan Modul Matematika pada Pembelajaran Problem Solving dengan Pendekatan Kontekstual untuk Meningkatkan Kemampuan Penalaran Matematis Siswa. PRISMA, Prosiding Seminar Nasional Matematika, 6, 270–274.

Syahrir, A. F., Juliawan, R., & Lapele, D. A. (2023). Analysis Of Student Conceptual Errors And Procedural Errors in Solving Mathematical Problems. Jurnal Ilmiah Mandala Education (Jime), 9, 2279–2285. https://scholar.google.com/scholar?cluster=13683238912182987352&hl=en&oi=scholarr

Wau, H. A., Harefa, D., & Sarumaha, R. (2022). Analisis Kemampuan Penalaran Matematis pada Materi Barisan dan Deret Siswa Kelas XI SMK Negeri 1 Toma Tahun Pembelajaran 2020/2021. Afore: Jurnal Pendidikan Matematika, 1(1), 41–49. https://doi.org/10.57094/afore.v1i1.435

Widya, P. N., Ariyanto, L., & Murtianto, Y. H. (2020). Pengembangan bahan ajar matematika berbasis contextual teaching and learning berbantuan pop up book untuk meningkatkan kemampuan penalaran matematis siswa Kelas VII. Imajiner: Jurnal Matematika Dan Pendidikan Matematika, 2(2), 95–101. https://doi.org/10.26877/imajiner.v2i2.5769

Wijaya, H. (2020). Analisis Data Kualitatif Teori Konsep Dalam Penelitian Pendidikan. Sekolah Tinggi Theologia Jaffray

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Published

2026-01-25

How to Cite

Azzahra, P., & Hartono, Y. (2026). Students’ Mathematical Reasoning in Learning Arithmetic Sequences through Contextual Teaching and Learning. SJME (Supremum Journal of Mathematics Education), 10(1), 17–35. https://doi.org/10.35706/sjme.v10i1.13195

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