Profil Kemampuan Pemodelan Matematika Siswa Dalam Menyelesaikan Masalah SPLDV
Abstract
Penelitian ini bertujuan mendeskripsikan konfigurasi kemampuan pemodelan matematika siswa dalam menyelesaikan masalah sistem persamaan linear dua variabel (SPLDV). Penelitian menggunakan pendekatan kualitatif deskriptif. Sebanyak 33 siswa kelas VIII SMP Negeri 7 Kota Ternate mengikuti tes penyaringan; tiga siswa yang memperoleh skor maksimum dipilih secara purposif sebagai subjek utama. Data berupa pekerjaan tertulis, wawancara berbasis tugas, dan catatan observasi dianalisis melalui enam tahap: memahami situasi, menyederhanakan dan menetapkan asumsi, mematematisasi, bekerja secara matematis, menafsirkan, serta memvalidasi dan mengomunikasikan hasil. Triangulasi dilakukan dengan membandingkan ketiga sumber data dan kasus negatif. Hasil menunjukkan bahwa ketiga subjek mengenali besaran yang dicari, menetapkan variabel, dan membentuk relasi dasar SPLDV. Namun, semuanya menyamakan asumsi dengan pemisalan variabel. Subjek 1 membentuk model tepat tetapi tidak menuntaskan prosedur, interpretasi, dan validasi; Subjek 2 membentuk dan menyelesaikan model dengan benar serta menafsirkan harga penggaris Rp3.500 dan penghapus Rp2.000, tetapi validasi masih implisit; Subjek 3 memulai model dengan tepat tetapi mengubah konstanta, tidak menuntaskan prosedur, dan tidak menafsirkan hasil secara lengkap. Validasi dan komunikasi menjadi tahap terlemah: pernyataan telah memeriksa jawaban tidak didukung substitusi balik atau penilaian kewajaran. Temuan menegaskan bahwa skor penyaringan yang sama tidak menjamin konfigurasi kemampuan pemodelan yang sama.
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References
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