Topik matematika dasar merupakan fokus utama saat mempersiapkan mahasiswa baru masuk sebelum masuk perkuliahan di jenjang perguruan tinggi. Oleh karena itu, mahasiswa harus dapat memahami konsep dari beberapa topik matematika dasar ini dengan baik. Tujuan penelitian ini adalah untuk mendeskrpsikan kesalahan-kesalahan dalam memahami topik-topik matematika dasar, yaitu topik himpunan, relasi, fungsi, matriks, vektor, limit, turunan dan integral. Penelitian ini menggunakan metode penelitian deskriptif kualitif dengan subjek penelitian adalah mahasiswa baru tahun akademik 2020/2021 pada Program Studi Pendidikan Matematika FKIP Unpatti. Instrumen dalam penelitian ini berupa soal tes yang terdiri dari 7 soal tentang topik-topik matematika dasar. Hasil penelitian menunjukkan bahwa mahasiswa melakukan beberapa kesalahan di antaranya kesalahan faktual, kesalahan prosedural, kesalahan konseptual dan kecerobohan
Education in the present has become a necessity, the need for knowledge gained through the learning process both in school and learning from the environment of residence. Mathematical skills are important for everyday life, when students work in activities that are based on everyday life situations; they see ways of applying the mathematical skills they are learning to the real world. Thelearning strategy REACT is one of the learning strategies that use the environment as a source of learning. Besides the teaching learning process with active student learning methods (CBSA) the teacher must be more active in preparing lesson material, planning the process to be carried out such as RPP, preparing evaluation such as LKS and follow-up. From the results of the study the development of learning tools for student activities reached 91.25% and the success rate of students reached 70%. Thus the development of a square and rectangular learning device using theREACTstrategy has a good effect on student activity and student learning outcomes
This study aims to describe the perceptions of prospective students in the first year in validating mathematical proof. This student's perception is discussed based on the answers given to the proof of a theorem. This research is a qualitative research. The subjects in this study were three students from the second semester mathematics education study program at a university in East Java. Research subjects were chosen deliberately with the following considerations: prospective teacher students who use examples in making mathematical proof and good communication skills make research can facilitate students' perceptions in writing mathematical proof. The results showed that students had perceptions about who gave several examples so that the proof was called valid, one example of denying it could prove it was invalid and using formal proof that proved it could be proven valid
Permutations and combinations are generally taught by requiring students to memorize formulas and solve problems using the appropriate formula. Students who learn these topics may succeed in gaining high scores on end-of-chapter exams in textbooks, while lacking the conceptual understanding required to deal with problems in the real world. Therefore, this study aimed to examine in-service mathematics teachers' pedagogical content knowledge (PCK) to determine students’ mistakes in solving permutations and combinations problem and their teaching strategies to eliminate these errors. Data were collected by distributing vignettes, CoRe, and PaP-eRs to thirteen mathematics teachers from ten provinces in Indonesia after they finished an online professional teacher education program to determine their PCK in teaching permutations and combinations. The data collected were analyzed qualitatively using a content analysis approach to obtain categories inductively. The result showed that PCK of in-service mathematics in teaching permutations and combinations was observed by identifying student mistakes conceptually and procedurally, even though some could not determine their mistakes in permutations. On the other hand, the knowledge of instructional strategies can engage all students in active learning, but most of them only give general answers. Furthermore, an in-depth understanding of permutations and combinations topic is needed to support the development of teachers’ pedagogic competencies sustainably. The contribution of this research will be of interest to curriculum development and mathematics educators.
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