Abstract
The ability to prove formal mathematics is an important ability that must be mastered by undergraduate prospective mathematics teachers. However, students who are prospective mathematics teachers have difficulty in constructing proof in mathematics courses. Therefore, this study aims to explore the tendency of mathematical proof methods for prospective mathematics teachers in second year lectures. The method used in this research is quantitative descriptive research. Participants in this study were 30 prospective mathematics teachers at a tertiary institution in Tuban, East Java. The research instrument is a simple task of compiling mathematical evidence. The results of the study were analyzed using the classification of types of proof by Miyazaki, namely classifying the types of deductive and inductive reasoning. The results showed that prospective mathematics teachers had a greater tendency to use deductive reasoning than using inductive reasoning. Type A proof is the most common type of proof. In addition, around 70% of prospective teachers still experience difficulties in compiling evidentiary tasks.
Highlights
PENDAHULUAN Pembuktian merupakan aspek penting dalam matematika karena merupakan komponen utama dalam memahami matematika (Köǧce et al, 2010)
The ability to prove formal mathematics is an important ability that must be mastered by undergraduate prospective mathematics teachers
This study aims to explore the tendency of mathematical proof methods for prospective mathematics teachers in second year lectures
Summary
Received 31 December 2020; Received in revised form 06 March 2021; Accepted 01 April 2021. Partisipan dalam penelitian ini adalah 30 calon guru matematika di sebuah perguruan tinggi di Tuban, Jawa Timur. Kemampuan pembuktian matematis formal merupakan kemampuan penting yang harus dikuasai sarjana calon guru matematika Meskipun pembuktian merupakan bagian penting dari matematika di tingkat perguruan tinggi, beberapa penelitian menunjukkan bahwa mahasiswa sering mengalami kesulitan dalam menyusun bukti (Selden et al., 2014). Penelitian ini akan mengidentifikasi tentang kecenderungan calon guru matematika dalam mengkonstruk bukti matematika secara formal pada mata kuliah Teori Bilangan, antara pembuktian deduktif dan pembuktian induktif. METODE PENELITIAN Penelitian ini menggunakan desain penelitian deskriptif kuantitatif untuk mengidetifikasi jenis penalaran mahasiswa calon guru matematika dalam mengkonstruk pembuktian matematis. Tugas sederhana ini terdiri dari pertanyaan yang meminta mahasiswa calon guru matematika untuk menyusun pembuktian sesuai dengan jenis penalarannya.
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