Understanding on Strategies of Teaching Mathematical Proof for Undergraduate Students

Many researches revealed that many students have difficulties in constructing proofs. Based on our empirical data, we develop a quadrant model to describe students\u27 classification of proof result. The quadrant model classifies a students\u27 proof construction based on the result of mathematical thinking. The aim of this article is to describe a students\u27 comprehension of proof based on the quadrant model in order to give appropriate suggested learning. The research is an explorative research and was conducted on 26 students majored in mathematics education in public university in Banten province, Indonesia. The main instrument in explorative research was researcher itself. The support instruments are proving-task and interview guides. These instruments were validated from two lecturers in order to guarantee the quality of instruments.Based on the results, some appropriate learning activities should be designed to support the students\u27 characteristics from each quadrant, i.e: a hermeneutics approach, using the two-column form method, learning using worked-example, or using structural method

Model Blended Learning di Program Studi Pendidikan Matematika Untirta

Penelitian ini bertujuan meningkatkan pengetahuan bidang studi (content knowledge) sebagai unsur pembentuk kompetensi mahasiswa calon guru matematika dengan pembelajaran blended learning. Pengetahuan bidang studi dalam hal ini disebut hasil belajar. Desain penelitian menggunakan kuasi eksperimen karena akan membandingkan pengaruh suatu perlakuan. Teknik pengumpulan data dilakukan dengan tes. Untuk uji persyaratan normalitas, digunakan uji Kolmogorov-Smirnov, sedangkan uji homogenitas digunakan uji Levene. Untuk mengetahui perbedaan rerata, digunakan uji-t jika data berdistribusi normal. Sementara, jika data tidak berdistribusi normal digunakan uji Mann-Whitney. Hasil tes akhir pembelajaran dibandingkan untuk mengetahui pengaruh blended learning terhadap hasil belajar. Hasil pengolahan data menunjukkan bahwa hasil belajar kelas blended learning lebih baik daripada kelas biasa. Selain itu, mahasiswa blended learning lebih aktif mengerjakan tugas daripada kelas biasa