Patterns Of Imitative and Creative Reasoning in Proportional Logic Proof
Keywords:
Penalaran Imitatif, Penalaran matematis kreatif, Logika proporsional, Kontruksi pembuktianAbstract
Memahami cara siswa berargumen saat membangun bukti logika proposisional sangat penting untuk meningkatkan kompetensi dasar mereka dalam matematika tingkat lanjut. Studi ini menyelidiki pola berpikir imitatif dan kreatif yang ditunjukkan oleh mahasiswa sarjana saat menyelesaikan tugas berbasis bukti dalam logika proposisional. Dipandu oleh kerangka kerja penalaran Lithner, penelitian ini menggunakan pendekatan deskriptif kualitatif dengan menggunakan jawaban ujian tertulis sebagai sumber data utama. Analisis menunjukkan bahwa mahasiswa secara dominan mengandalkan penalaran imitatif—yang ditandai dengan pengikutan aturan prosedural dan manipulasi algoritmik—saat menerapkan hukum kesetaraan logika seperti De Morgan, komutatif, dan asosiatif. Meskipun mendapatkan transformasi simbolik yang benar, sebagian besar mahasiswa memberikan justifikasi konseptual minimal, menunjukkan pemahaman permukaan. Contoh penalaran kreatif, di mana mahasiswa membangun argumen berdasarkan wawasan konseptual atau interpretasi semantik operator logika, sangat jarang. Temuan ini menyoroti kebutuhan akan strategi pengajaran yang mempromosikan penalaran yang lebih dalam, seperti tugas pembuktian non-rutin, penilaian berbasis penjelasan, dan fokus eksplisit pada makna struktur logika. Studi ini berkontribusi pada literatur yang berkembang tentang penalaran matematis dengan memberikan wawasan yang lebih mendalam tentang bagaimana siswa menavigasi interaksi antara kemahiran prosedural dan pemahaman konseptual dalam pembuktian logika.
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