INVESTIGASI STRUKTUR ARGUMEN MAHASISWA DALAM PEMBUKTIAN ALJABAR BERDASARKAN SKEMA TOULMIN
DOI:
https://doi.org/10.24127/ajpm.v10i3.3781Keywords:
Argumen, Model Toulmin, Pembuktian, Struktur,Abstract
Penelitian tentang argumen dalam pembuktian matematika penting untuk dikaji karena argumen merupakan pembuktian yang memuat justifikasi secara rasional untuk mendapatkan kesimpulan. Penelitian ini bertujuan untuk menyelidiki struktur argumen mahasiswa ketika menyelesaikan pembuktian aljabar. Penelitian dilakukan kepada mahasiswa Program Studi Pendidikan Matematika Universitas Hasyim Asy’ari. Instrumen yang digunakan untuk mengumpulkan data adalah tes tertulis dan wawancara. Instrumen tes diberikan kepada tiga mahasiswa sebagai subjek penelitian, kemudian dilanjutkan dengan wawancara kepada masing-masing subjek. Subjek penelitian ditentukan dengan cara memilih mahasiswa yang mempunyai kemampuan matematika tinggi, sedang, dan rendah berdasarkan hasil belajar selama mengikuti perkuliahan Aljabar Linier Elementer. Hasil penelitian menunjukkan bahwa mahasiswa melakukan identifikasi masalah untuk menentukan konsep matematika yang berupa definisi atau teorema. Konsep tersebut merupakan warrant dan backing yang dijadikan penjamin untuk melakukan pembuktian dalam bentuk simbol aljabar. Warrant dan backing adalah penjamin yang dapat menghubungkan antara data dengan klaim. Temuan lain dalam penelitian ini juga muncul saat mahasiswa menyadari kesalahan yang dilakukan karena menggunakan konsep invers pada bilangan real, sehingga mahasiswa memunculkan rebuttal yang berfungsi untuk menyangkal argumennya sendiri. Keraguan mahasiswa muncul saat mereview hasil pembuktiannya. Akan tetapi, jika mahasiswa sudah merasa yakin dengan kesimpulan yang diperoleh, maka keyakinan tersebut adalah qualifier yang berupa justifikasi.References
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