Analisis Kemampuan Pemecahan Masalah Matematis Siswa Smp Pada Materi Sistem Persamaan Linear Dua Variabel (SPLDV)
DOI:
https://doi.org/10.21154/imej.v2i2.61Keywords:
kemampuan pemecahan masalah matematis, SPLDV, NVivo, refleksi, representasi matematisAbstract
Kemampuan pemecahan masalah matematis merupakan salah satu kompetensi penting yang harus dikembangkan dalam pembelajaran matematika di sekolah. Penelitian ini bertujuan untuk menganalisis kemampuan pemecahan masalah matematis siswa SMP pada materi Sistem Persamaan Linear Dua Variabel (SPLDV) serta mengidentifikasi faktor-faktor yang memengaruhinya. Pendekatan penelitian yang digunakan adalah kualitatif deskriptif dengan subjek 26 siswa kelas VIII SMP Negeri 3 Majalengka. Data dikumpulkan melalui tes kemampuan pemecahan masalah dan wawancara semi-terstruktur, kemudian dianalisis menggunakan perangkat lunak NVivo melalui proses pengkodean, klasifikasi, dan visualisasi hubungan antar tema. Hasil penelitian menunjukkan bahwa sebagian besar siswa mampu memahami informasi dasar dalam soal, namun mengalami kesulitan dalam merumuskan model matematika, menyusun langkah penyelesaian secara sistematis, dan melakukan pemeriksaan hasil akhir. Faktor utama yang memengaruhi kesulitan siswa meliputi rendahnya kemampuan representasi, kurangnya latihan bertahap, dan lemahnya kesadaran reflektif. Penelitian ini merekomendasikan penerapan pembelajaran berbasis refleksi dan pemodelan kontekstual untuk meningkatkan kemampuan pemecahan masalah matematis siswa secara menyeluruh.
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References
Adeoye‐Olatunde, O. A., & Olenik, N. L. (2021). Research and scholarly methods: Semi‐structured interviews. Journal of the american college of clinical pharmacy, 4(10), 1358-1367. https://doi.org/10.1002/jac5.1441
Alam, M. K. (2021). A systematic qualitative case study: questions, data collection, NVivo analysis and saturation. Qualitative Research in Organizations and Management: An International Journal, 16(1), 1-31. https://doi.org/10.1108/QROM-09-2019-1825
Allsop, D. B., Chelladurai, J. M., Kimball, E. R., Marks, L. D., & Hendricks, J. J. (2022). Qualitative methods with Nvivo software: A practical guide for analyzing qualitative data. Psych, 4(2), 142-159. https://doi.org/10.3390/psych4020013
Anjani, R., Damris, M., & Kamid, K. (2021). Proses Berpikir Siswa dalam Memecahkan Masalah Matematika Materi Sistem Persamaan Linear Tiga Variabel yang Ditinjau dari Tipe Kepribadian Keirsey. Jurnal Cendekia, 5(3), 2746-2755. https://www.academia.edu/download/106382553/478999788.pdf
Asipi, L. S., Rosalina, U., & Nopiyadi, D. (2022). The analysis of reading habits using Miles and Huberman interactive model to empower students’ literacy at IPB Cirebon. International Journal of Education and Humanities, 2(3), 117-125. https://doi.org/10.58557/ijeh.v2i3.98
Barmby, P., Bolden, D., & Thompson, L. (2025). Understanding and enriching problem solving in primary mathematics. Routledge. https://doi.org/10.4324/9781041057727
Farida, I., & Hakim, D. L. (2021). Kemampuan berpikir aljabar siswa SMP pada materi sistem persamaan linear dua variabel (SPLDV). JPMI (Jurnal Pembelajaran Matematika Inovatif), 4(5), 1123-1136. https://doi.org/10.22460/jpmi.v4i5.p%25p
Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The Role of Problem-Based Learning to Improve Students' Mathematical Problem-Solving Ability and Self Confidence. Journal on Mathematics Education, 9(2), 291-300. https://files.eric.ed.gov/fulltext/EJ1194294.pdf
Janah, S. N., Rasiman, R., & Handayanto, A. (2021). Proses berpikir siswa smk dalam memecahkan masalah matematika ditinjau dari gaya kognitif field independent dan field dependent. Imajiner: Jurnal Matematika Dan Pendidikan Matematika, 3(2), 150-158. https://doi.org/10.26877/imajiner.v3i2.7487
Kelly, G. J. (2023). Qualitative research as culture and practice. Handbook of research on science education, 60-86. https://doi.org/10.4324/9780367855758-4
Liljedahl, P., & Cai, J. (2021). Empirical research on problem solving and problem posing: A look at the state of the art. ZDM–Mathematics Education, 53(4), 723-735. https://doi.org/10.1007/s11858-021-01291-w
Maryani, A., & Setiawan, W. (2021). Analisis Kesulitan Peserta Didik Kelas VIII dalam Menyelesaikan Soal Sistem Persamaan Linear Dua Variabel (SPLDV) di MTs Atsauri Sindangkerta. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(3), 2619-2627. https://www.academia.edu/download/87281391/478999810.pdf
Nurhayati, E., Nurfauziah, P., & Fitriani, N. (2021). Analisis Kesulitan Siswa Kelas IX dalam Memahami Materi Sistem Persamaan Linear Dua Variabel (SPLDV) dalam Pembelajaran Daring. JPMI (Jurnal Pembelajaran Matematika Inovatif), 4(6), 1609-1620. https://doi.org/10.22460/jpmi.v4i6.p%25p
Nurkholisa, F., & Rachmawati, T. K. (2024, May). Analisis Kesulitan Siswa Kelas X Pada Materi Sistem Persamaan Linier Dua Variabel. In Gunung Djati Conference Series (Vol. 40, pp. 1-8). https://conferences.uinsgd.ac.id/index.php/gdcs/article/view/2134
Olivares, D., Lupiáñez, J. L., & Segovia, I. (2021). Roles and characteristics of problem solving in the mathematics curriculum: a review. International Journal of Mathematical Education in Science and Technology, 52(7), 1079-1096. https://doi.org/10.1080/0020739X.2020.1738579
Puspita, R. M. (2022). Kesulitan Belajar Siswa SMP Pada Materi Sistem Persamaan Linear Dua Variabel. Jurnal Educatio FKIP UNMA, 8(4), 1286-1294. https://doi.org/10.31949/educatio.v8i4.3488
Rahmadani, A., Wandini, R. R., Dewi, A., Zairima, E., & Putri, T. D. (2022). Upaya meningkatkan berpikir kritis dan mengefektifkan pendekatan kontekstual dalam pembelajaran matematika. Edu Society: Jurnal Pendidikan, Ilmu Sosial Dan Pengabdian Kepada Masyarakat, 2(1), 427-433. https://doi.org/10.56832/edu.v2i1.167
Sanidah, S., & Sumartini, T. S. (2022). Kesulitan siswa kelas viii dalam menyelesaikan soal cerita spldv dengan menggunakan langkah polya di desa cihikeu. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 1(1), 15-26. https://doi.org/10.31980/pme.v1i1.1362
Saputra, S., & Hasanah, N. L. (2024). Analisis Kesulitan Belajar Peserta Didik dalam Menyelesaikan Soal SPLDV. Buana Matematika: Jurnal Ilmiah Matematika dan Pendidikan Matematika, 14(2), 197-214. https://doi.org/10.36456/buanamatematika.v14i2.6051
Sundary, S. R., Maya, R., & Zanthy, L. S. (2022). Analisis kesulitan belajar siswa dalam mata pelajaran matematika pada materi sistem persamaan linear dua variabel dengan metode eliminasi di SMP Negeri 4 Pangalengan. JPMI (Jurnal Pembelajaran Matematika Inovatif), 5(4), 1071-1078. https://doi.org/10.22460/jpmi.v5i4.10298
Surya, E., & Putri, F. A. (2017). Improving mathematical problem-solving ability and self-confidence of high school students through contextual learning model. Journal on Mathematics Education, 8(1), 85-94. https://files.eric.ed.gov/fulltext/EJ1173627.pdf
Susanti, W., & Sudiansyah, S. (2024). Meningkatkan Pemahaman Konseptual Dan Keterampilan Prosedural Matematika Melalui Pendekatan Diferensiasi Berbantuan Lkpd Terstruktur. AL KHAWARIZMI: Jurnal Pendidikan Matematika, 4(2), 61-70. https://doi.org/10.46368/kjpm.v4i2.2336
Taufiq, D. A. (2022). Kemampuan pemecahan masalah matematis siswa smp pada materi sistem persamaan linear dua variabel. Plusminus: Jurnal Pendidikan Matematika, 2(2), 303-314. https://doi.org/10.31980/plusminus.v2i2.1106
Warmi, A. (2024). Analisis Kesulitan Belajar Matematika Siswa SMP Dalam Menyelesaikan Soal Cerita SPLDV. Prosiding Sesiomadika, 5(3). https://journal.unsika.ac.id/index.php/sesiomadika/article/view/10401
Widyaputri, P. N. S., & Agustika, G. N. S. (2021). Media Pembelajaran Matematika pada Pokok Bahasan Pecahan dengan Pendekatan Kontekstual. Journal for Lesson and Learning Studies, 4(1), 45-52. https://doi.org/10.23887/jlls.v4i1.32741
Yuswan, S. A., & Maat, S. M. (2021). Pengetahuan konseptual dan prosedural dalam matematik: Satu sorotan literatur sistematik. Malaysian Journal of Social Sciences and Humanities (MJSSH), 6(12), 94-108. https://doi.org/10.47405/mjssh.v6i12.1178
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