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BERKAS ELIPS Suci . Andriani; Mashadi . .; Kartini . .
KARISMATIKA: Kumpulan Artikel Ilmiah, Informatika, Statistik, Matematika dan Aplikasi Vol 3, No 1 (2017): Karismatika
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jmk.v3i1.8824

Abstract

ABSTRAK                                       Banyak buku teks dan peneliti sebelumnya telah  membahas tentang berkas lingkaran. Jika terdapat lingkaran  dan , maka  dengan  dan  sebagai parameter dan  merepresentasikan berkas lingkaran. Pada artikel ini, penulis membahas tentang berkas  elips. Jika terdapat elips  dan , maka  dengan  sebarang bilangan real sebagai parameter merepresentasikan berkas elips. Persamaan elips yang memuat parameter tidak selalu menghasilkan bentuk elips, tetapi juga membentuk garis, lingkaran, parabola dan hiperbola. Selain itu, pada artikel ini juga membahas tentang kasus khusus dari berkas elips yaitu berkas elips yang melewati titik , berkas elips yang menyinggung sumbu  atau , dan berkas elips yang menyinggung  garis . Keywords: Berkas elips, persamaan elips, eksistensi elips.
Profil kemampuan koneksi matematis mahasiswa pendidikan matematika pada awal perkuliahan trigonometri Andriani, Suci; Armis, Armis
Jurnal Pendidik Indonesia Vol. 6 No. 1 (2025): Jurnal Pendidik Indonesia
Publisher : Karoteh Utama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61291/jpi.v6i2.28

Abstract

This study aims to describe the mathematical connection ability of first-semester students at the beginning of the trigonometry course. The research subjects were first-semester students of the Mathematics Education Study Program in the 2024/2025 academic year. The research method used was descriptive with a mixed-method approach, combining both quantitative and qualitative data. The research procedure consisted of three stages: (1) development of research instruments, (2) administration of a mathematical connection ability test, and (3) analysis of student responses. The instrument used was a trigonometry test that included indicators of mathematical connection ability. The results show that at the beginning of the course, students' mathematical connection abilities were still relatively low. The percentage of students in the very good category was only 0.83%, good category 10%, fair category 40.83%, poor category 45.84%, and very poor category 2.5%. Further analysis revealed that students in the high category were able to connect mathematical concepts and apply them to real-world problems but struggled to relate different mathematical representations. Meanwhile, students in the low category had difficulties in all aspects of mathematical connections, including linking concepts, connecting representations, and applying mathematics to real-life situations.