Abstrak: 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. Kata Kunci: blended learning, calon guru matematika, content knowledge A BLENDED LEARNING MODEL IN THE MATHEMATICS EDUCATION STUDY PROGRAM IN UNTIRTA Abstract:This study was aimed to improve the content knowledge as an element for developing students’ competence through blended learning. In this study, this content knowledge is called learning achievement. The study used the experimental design. The data were collected using a test. To test the normality of data distribution, the Kolmogorov-Smirnov test was utilized, while to test the homogeneity of the variances, the Levene’s test was used. To test the hypothesis, the t-test was used. The findings showed that the learning achievement of the students taught using blended learning was better than that of those taught using the conventional method. In addition, the students taught using the blended learning were more active in doing the assignment than those in the conventional class. Kata Kunci: blended learning, mathematics students, content knowledge
Thinking is very necessary in learning mathematics, both at school and college level. Several studies have attempted to reveal students' thinking in learning mathematics at college. This article aims to describe the mental structure that occurs when constructing mathematical proofs in terms of APOS theory. The APOS theory has been widely used in analyzing the formation of mathematical concepts in universities. This research explores a thinking process in proof constructing. It uses a qualitative approach. The research was conducted on 26 students majored in mathematics education in public university at Banten, Indonesia. The consideration of that was because the students were able to think a formal proof in mathematics. Results show that there are two types of thinking process in mathematical proving activities, namely: the deductive-holistic and the inductive-partial type of thinking process. Based on the results, some suitable learning activities should be designed to support the construction of these mental categories.
The purpose of this research was to investigate the effect of self-explanation prompting to students’ germane load while studying mathematics in the multivariable calculus course. This research employed a quasi-experimental method with matching-only posttest-only control group design. The subject of the research consists of 72 first-year mathematics education undergraduate students. The results indicated that there was no significant difference in students’ germane load between students who implemented worked-example with self-explanation prompting and students who implemented worked-example without self-explanation prompting. However, it was revealed that the students' germane load was categorized high in both classes. It indicates that the worked-example method could foster students' germane load. Nonetheless, these results cannot be evidence that self-explanation prompting is capable to foster students' germane load. However, there is an association between germane load and learning objectives. When students achieve the learning objectives, then its learning method is able to foster the germane load. To assess the learning objectives, the posttest was arranged. The results stated that students who implemented the worked-example method with self-explanation prompting had better test scores than students who implemented the worked-example method without self-explanation prompting. This result was sufficient to provide evidence that the use of worked-example with self-explanation prompting could foster students’ germane load students in the multivariable calculus course.Keywords: Germane load, Worked-example, Self-explanation prompting
Many researches revealed that many students have difficulties in constructing proofs. Based on our empirical data, we develop a quadrant model to describe students' classification of proof result. The quadrant model classifies a students' proof construction based on the result of mathematical thinking. The aim of this article is to describe a students' 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 provingtask 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' characteristics from each quadrant, i.e: a hermeneutics approach, using the twocolumn form method, learning using worked-example, or using structural method. Keywords: proof, proving learning, undergraduate, quadrant model MEMAHAMI STRATEgI PENgAJARAN PEMbuKTIAN MATEMATIS DI PERguRuAN TINggIAbstrak: Banyak peneliti pendidikan matematika menyatakan bahwa siswa mengalami kesulitan dalam mengonstruksi bukti. Berdasarkan kajian empiris, penulis membangun suatu model kuadran untuk mendeskripsikan kategori konstruksi bukti yang dibangun siswa. Model kuadran tersebut mengklasifikasikan konstruksi bukti berdasarkan cara berpikir matematis saiwa. Adapun tujuan dari artikel ini ialah mendeskripsikan pemahaman siswa dalam mengonstruksi bukti berdasarkan model kuadran serta memberikan saran strategi pembelajarannya. Penelitian ini merupakan penelitian eksploratif yang melibatkan 26 mahasiswa Jurusan Pendidikan Matematika pada universitas negeri di Provinsi Banten. Instrumen utama dalam penelitian eksploratif adalah peneliti sendiri. Instrumen pendukungnya ialah tugas pembuktian matematis dan panduan wawancara. Kedua instrumen pendukung tersebut telah divalidasi untuk menjamin kualitas instrumen yang digunakan. Hasil penelitian ini memberikan saran terkait aktivitas pembelajaran yang seharusnya dilakukan oleh pengajar agar sesuai dengan karakteristik berpikir siswa dalam mengonstruksi bukti pada masing-masing kuadran, misalnya : pendekatan heurmenistik, menggunakan metode dua-kolom, pembelajaran worked-example ataupun menggunakan metode terstruktur.Kata Kunci: bukti, pengajaran bukti, mahasiswa, model kuadran
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