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Learning Independence as a Key to Mathematical Connections in Sequences and Series

Reza Maulana Universitas Singaperbangsa Karawang, Indonesia Correspondence [email protected]
,
Dori Lukman Hakim Universitas Singaperbangsa Karawang, Indonesia Correspondence [email protected]
Pages [44-58]
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Abstract

The ability to make mathematical connections is a critical skill that enables students to relate various mathematical concepts and apply them in diverse contexts. However, many students continue to struggle with this skill, indicating a significant gap in mathematical understanding. This study aims to describe students’ mathematical connection ability through the lens of learning independence—an intersection that has received limited scholarly attention. Employing a qualitative descriptive method, the research involved 25 tenth-grade students, from whom six were selected based on stratified levels of mathematical connection ability (high, middle, and low). Data were collected through a written test focused on arithmetic sequences and series, guided by indicators of mathematical connection adopted from the national high school mathematics textbook. Complementary interviews were conducted to assess aspects of learning independence. The findings reveal that students with high learning independence demonstrated stronger mathematical connection ability, while those in the middle and low categories showed frequent conceptual errors and imprecise reasoning. The novelty of this study lies in its integrated analysis of cognitive and affective dimensions, offering new insights into how learning independence supports mathematical understanding.

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References

  • Afidah, L. N., Wardono, & Waluya, S. B. (2024). Systematic Literature Review: Literasi Matematika dan Kemandirian Belajar Pada Pendekatan Matematika Realistik. PRISMA, Prosiding Seminar Nasional Matematika, 7(2), 821–828.
  • Amieny, E. A., & Firmansyah, D. (2021). Kemampuan Representasi Matematis Siswa Kelas VIII SMP dalam Pembelajaran Matematika. In MAJU: Jurnal Ilmiah Pendidikan Matematika, 8(1). https://dx.doi.org/10.20527/edumat.v13i1.19558
  • Angelina, M., & Effendi, K. N. S. (2021). Analisis Kemampuan Koneksi Matematis Siswa SMP Kelas IX. Jurnal Pembelajaran Matematika Inovatif, 4(2), 383–394. https://doi.org/10.22460/jpmi.v4i2.383-394
  • Anjarsari, W., Suchie, S., & Komaludin, D. (2021). Implementasi Pembelajaran Online Berbasis Project Based Learning untuk Meningkatkan Kemandirian Belajar Siswa. Prisma, 10(2), 255. https://doi.org/10.35194/jp.v10i2.1639
  • Aprila, B., & Fajar, A. A. (2022). Pembelajaran Model Problem Based Learning Untuk Mengembangkan Kemandirian Belajar Dan Hubungannya Terhadap Kemampuan Komunikasi Matematis Dan Berpikir Kritis Matematis Siswa SMP. Pasundan Journal of Mathematics Education : Jurnal Pendidikan Matematika, 12(1), 15–29. https://doi.org/10.23969/pjme.v12i1.5408
  • Arista, M., Sadjiarto, A., & Santoso, T. N. B. (2022). Pengaruh Motivasi Belajar dan Teman Sebaya terhadap Kemandirian Belajar Pelajaran Ekonomi pada Pembelajaran Daring di Masa Pandemi. Jurnal Basicedu, 6(4), 7334–7344. https://doi.org/10.31004/basicedu.v6i4.3499
  • Dinata, F. T., Rusyid, H. K., Fatimah, S., & Herman, T. (2023). Analisis Kemampuan Koneksi Matematis Siswa Pada Pembelajaran Luring Pasca Pandemi. JPMI-Jurnal Pembelajaran Matematika Inovatif, 6(4), 1301–1316. https://doi.org/10.22460/jpmi.v6i4.17648
  • Fatah, M. A., & Zumrotun, E. (2023). Implementasi Projek P5 Tema Kewirausahaan Terhadap Kemandirian Belajar Di Sekolah Dasar. Jurnal Pendidikan Guru Madrasah Ibtidaiyah, 6(2), 365–377. https://doi.org/10.54069/attadrib.v6i2.603
  • Fatmasari, O. A., Handayani, A. D., & Yohanie, D. D. (2024). Analisis Kemampuan Pemecahan Masalah Siswa dalam Menyelesaikan Soal Cerita Matematika Materi Bangun Datar. Eksponen, 14(2). https://doi.org/10.24260/add.v3i1.2857
  • Ghassani, D. A., Nursa’adah, A., Septira, F., Effendi, M., Herman, T., & Hasanah, A. (2023). Kemandirian Belajar Siswa dalam Pembelajaran Matematika Menggunakan Kurikulum Merdeka. Plusminus: Jurnal Pendidikan Matematika, 3(2), 307–316. https://doi.org/10.31980/plusminus.v3i2.1346
  • Indriani, N. D., & Noordyana, M. A. (2021). Kemampuan Koneksi Matematis Melalui Model Pembelajaran Connecting, Organizing, Reflecting, and Extending dan Means Ends Analysis. Plusminus: Jurnal Pendidikan Matematika, 1(2), 339–352. https://doi.org/10.31980/plusminus.v1i2.906
  • Leonard, Suhendri, H., Hasbullah, Mevianti, A., & Puteri, N. C. (2022). Identifikasi Materi yang Dianggap Sulit untuk Pelajaran Matematika pada Jenjang SMP Kelas 8. Lebesgue: Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistitika, 3(3), 560–567. https://doi.org/10.46306/lb.v3i3.167
  • Mahendra, Y. M., Husamah, H., & Budiono, B. (2023). Improving Mathematical Connection Capability and Learning Outcomes Through Problem-Based Learning Model. AlphaMath : Journal of Mathematics Education, 9(1), 61. https://doi.org/10.30595/alphamath.v9i1.17308
  • Maulida, A. R., Suyitno, H., & Asih, T. S. N. (2019). Kemampuan Koneksi Matematis pada Pembelajaran CONINCON (Constructivism, Integratif and Contextual) untuk Mengatasi Kecemasan Siswa. Prosiding Seminar Nasional Matematika, 2, 724–731.
  • Millaty, V. N. (2021). Pengaruh Kemandirian Belajar terhadap Kemampuan Koneksi Matematis Siswa pada Materi Segiempat. Didactical Mathematics, 3(1), 33–40. https://doi.org/10.31949/dm.v3i1.1020
  • Mufidah, U. F., & Machromah, I. U. (2023). Peningkatan Kemampuan Koneksi Matematis Siswa dengan Penerapan Pendekatan RME. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(2), 1744–1758. https://doi.org/10.31004/cendekia.v7i2.2388
  • Muharomi, L. T., & Afriansyah, E. A. (2022). Kemampuan Koneksi Matematis dan Kemandirian Belajar Siswa pada Materi Sistem Persamaan Linear Dua Variabel. Leibniz: Jurnal Matematika, 2(2), 45–64. https://doi.org/10.59632/leibniz.v2i2.174
  • Nasution, T. N., Netriwati, N., & Dewi, N. R. (2021). Pengaruh Model Pembelajaran CIRC dengan Strategi MURDER Terhadap Kemampuan Koneksi Matematis Peserta Didik di SMA Negeri 1 Sungkai Utara. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(2), 1992–2000. https://doi.org/10.31004/cendekia.v5i2.679
  • National Council of Teacher of Mathematic (NCTM). (2000). Principle and Standards for School Mathematics.
  • Nurhayati, K. D., Asikin, M., & Sugiman, S. (2022). Systematic Literature Review : Koneksi Matematika dan Kemandirian Belajar. Didactical Mathematics, 4(2), 323–335. https://doi.org/10.31949/dm.v4i2.2530
  • Permatasari, N., Mulyadi, A., Samlawi, F., Kunci:, K., Sosial, D., Diri, E., & Belajar, K. (2022). Pengaruh Dukungan Sosial dan Efikasi Diri Terhadap Kemandirian Belajar Siswa Pada Pembelajaran Akuntansi di SMKN Se-Bandung Raya. Journal of Finance, Entrepreneurship, and Accounting Education Research, 1(3), 192–207.
  • Rohmah, H. F., & Warmi, A. (2021). Analisis Kemampuan Koneksi Matematis Siswa pada Materi Barisan dan Deret Aritmatika. JPMI ( Jurnal Pembelajaran Matematika Inovatif), 4(2), 469–478. https://doi.org/10.22460/jpmi.v4i2.469-478
  • Sakinah, M., & Hakim, D. L. (2023). Respons Siswa Terhadap Penggunaan E-Modul Interaktifbarsil dalam Kemandirian Belajar Matematika. Koordinat Jurnal Pembelajaran Matematika dan Sains, 4(2), 54–65. https://doi.org/10.24239/koordinat.v4i2.71
  • Salsabila, A., Pradja, B. P., & Raharjo, S. (2022). Analisis Kemampuan Koneksi Matematis Siswa SMK pada Materi SPLDV. In Seminar & Conference Proceedings of UMT, 33, 52–58.
  • Supono, L., Agoestanto, A., & Wijayanti, K. (2024). Mathematical Connections of Students Viewed From Adversity Quotient in Problem-Based Learning Using Math City Map. AlphaMath : Journal of Mathematics Education, 10(1), 74. https://doi.org/10.30595/alphamath.v10i1.21662
  • Susanti, E., & Faradiba, S. S. (2022). Analisis Kemampuan Koneksi Matematika Peserta Didik dalam Memecahkan Masalah Matematika Berdasarkan Metacognitive Awereness Inventory. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(2), 1203–1209. https://doi.org/10.31004/cendekia.v6i2.1344
  • Syakur, A. S., Purnamasari, R., & Kurnia, D. (2021). Analisis Kesulitan Belajar Siswa Pada Mata Pelajaran Matematika. Pedagogia: Jurnal Ilmiah Pendidikan, 13(2), 84–89. https://doi.org/10.55215/pedagogia.v13i2.4504
  • Taufiqoh, Z., Noerhasmalina, & Nurmitasari. (2023). Penggunaan Media Pembelajaran Math Bilbul dengan Memperhatikan Tingkat Kemandirian Belajar. Eksponen, 13(2), 114–125. https://doi.org/10.31004/jrpp.v2i2.667
  • Yusuf, A. A., Bito, N., Nurwan, N., & Zakaria, P. (2022). Deskripsi Kemampuan Koneksi Matematis Siswa pada Materi Teorema Pythagoras. Jambura Journal of Mathematics Education, 3(1), 10–17. https://doi.org/10.34312/jmathedu.v3i1.11028
  • Zagoto, S. F. L. (2019). Efikasi Diri Dalam Proses Pembelajaran. Jurnal Review Pendidikan dan Pengajaran, 2(2), 386–391. https://doi.org/10.31004/jrpp.v2i2.667
  • Zimmerman. (2002). Becoming a Self-Regulated Learner: Beliefs, Techniques, and Illusions. Routledge, 5841, 315. https://doi.org/10.1207/s15430421tip4102
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How to Cite This

Maulana, R., & Hakim, D. L. (2025). Learning Independence as a Key to Mathematical Connections in Sequences and Series. AlphaMath : Journal of Mathematics Education, 11(1), [44–58]. https://doi.org/10.30595/alphamath.v11i1.26290

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