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Berkas Elips Andriani, Suci .; ., 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.v3i1.8822

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.
Pembinaan Guru Pembimbing Olimpiade Sains Nasional Bidang Matematika SMA/MA Kecamatan Siak Heleni, Susda; Armis, Armis; Kartini, Kartini; Andriani, Suci
Jurnal Pendidikan Tambusai Vol. 8 No. 3 (2024)
Publisher : LPPM Universitas Pahlawan Tuanku Tambusai, Riau, Indonesia

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Abstract

Pengabdian ini berupa pembinaan guru pembimbing Olimpiade Sains Nasional (OSN) bidang Matematika di Sekolah Menengah se Kecamatan Siak. Pembinaan ini bertujuan untuk memperkuat kompetensi guru dalam memahami materi OSN Matematika yang lebih mendalam dan kompleks, serta mengembangkan strategi pembelajaran yang inovatif dan efektif dalam membimbing siswa. Program pembinaan mencakup pretest, penyajian materi, diskusi, dan latihan soal-soal olimpiade yang mencakup bidang Aljabar, Geometri, Teori bilangan dan Kombinatorik. Selain itu, pembinaan ini juga menekankan pada penguasaan teknik problem solving dan pengajaran berorientasi pada pemikiran kritis serta analisis matematis yang tinggi. Hasil dari kegiatan ini diperoleh kesimpulan bahwa Pembinaan Guru Pembimbing OSN bidang Matematika SMA/MA Kecamatan Siak dapat memberdayakan guru bidang studi Matematika di Kecamatan Siak dalam menyelesaikan soal-soal Olimpiade, memotivasi guru pendamping dan pemangku kebijakan untuk mengikutsertakan siswa dalam ajang OSN bidang Matematika, baik yang dilaksanakan oleh pemerintah maupun pihak lainnya. Melalui pembinaan yang berkelanjutan, guru pembimbing dapat lebih siap dalam mendukung siswa untuk bersaing secara kompetitif dan inovatif di bidang Matematika.
WORKSHOP PENGEMBANGAN MEDIA PEMBELAJARAN BERBASIS ICT BERDESAIN LINGKUNGAN SISWA BAGI GURU SD Putri Yuanita; Elfis Suanto; Nahor Murani Hutapea; Rini Dian Anggraini; Susda Heleni; Suci Andriani; Sehatta Saragih
PAKEM: Jurnal Pengabdian Kepada Masyarakat Vol 6 No 2 (2026): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.6.2.102-112

Abstract

Paying attention to the intellectual development of elementary school students in the lower classes and the demands of the implementation of deep learning, bringing the context of the student environment into learning is a must. One of the efforts that can be made is through the use of ICT-based learning media with student environmental design. However, the limited ability of teachers to develop the media is an obstacle, so mentoring activities are needed. This community service activity aims to improve teachers' ability to develop ICT-based learning media with student environmental design through workshops. The activity was carried out in collaboration with the Siak Regency Education Office with a target of 51 grade I teachers in Kandis District. The workshop was held for four sessions at SDN 09 Kandis using presentation, discussion, practice, and simulation methods. Indicators of the success of the activities are measured through the ability of participants to produce media products and responses to the implementation of the activities. The results of the activity showed that participants were able to produce ICT-based learning media designed by students with a good category. In addition, the participants' response to the activity was very positive, where all participants stated that the activity helped them in developing learning media. The enthusiasm of the participants and the basic ability to use ICT are the supporting factors for the success of the activity, while the main obstacle lies in the ability to compile the structure of the material as well as in browsing, downloading and cutting the media context. This workshop activity was declared effective in improving teachers' abilities and experience in developing ICT-based learning media that is contextual and in accordance with the characteristics of elementary school students.
Analisis Kesalahan Siswa dalam Memecahkan Soal Optimisasi Kalkulus Multivariabel Menggunakan Analisis Kesalahan Newman Elmawati Elmawati; Maimunah Maimunah; Suci Andriani; Nurhuda Teapon
Jurnal Pustaka Cendekia Pendidikan Vol. 4 No. 1 (2026): Jurnal Pustaka Cendekia Pendidikan, Volume 4 Nomor 1, Mei - Agustus 2026
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v4i1.484

Abstract

This study aims to describe the types of errors made by students when solving optimization problems in the Multivariable Calculus course based on Newman Error Analysis (NEA). The study employs a qualitative descriptive approach with simple quantitative analysis in the form of percentages to illustrate the frequency of errors. The research subjects were 34 students in the Mathematics Education program who had taken the Multivariable Calculus course. Data were collected through essay tests and semi-structured interviews. Data analysis was conducted using the Miles and Huberman model, while error classification was based on Newman’s five stages: reading, comprehension, transformation, process skills, and encoding. This study identified three types of errors made by students in multivariable calculus optimization problems: (1) transformation errors 58,83%), characterized by an inability to construct a mathematical model and relate the objective function to the constraints; (2) process skills errors (26,47%), characterized by errors in differentiation, algebraic manipulation, and incomplete procedures; and (3) encoding errors (14,70%), characterized by a failure to communicate the final answer. These findings indicate that students’ difficulties lie not only in conceptual and procedural skills, but also in mathematical communication. These results can serve as a basis for instructors in designing more effective instruction and diagnostic assessments.
Exploring the Dynamics of Academic Achievement in End of Semester Assessment Based on Class and Gender Using a Two Way ANOVA Approach Wigbertus Ngabu; Putri Yuanita; Elmawati Elmawati; Suci Andriani; Yusa Putra
JPMI (Jurnal Pendidikan Matematika Indonesia) Vol 11, No 1 (2026): Volume 11 Number 1, March 2026
Publisher : STKIP Singkawang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26737/jpmi.v11i1.8542

Abstract

The evaluation of learning outcomes is an essential component of higher education because it reflects learning achievement and the effectiveness of the instructional process. This study aims to analyze the dynamics of students’ academic performance in the final semester examination of the Basic Statistics course based on class (A, B, C) and gender (male, female). The study employed an explanatory quantitative approach with a factorial design and was analyzed using a two-way analysis of variance (two-way ANOVA). Assumption testing indicated that the residuals were normally distributed (Shapiro–Wilk p = 0.0854) and that variances across groups were homogeneous (Levene p-value = 0.6468), confirming that the ANOVA prerequisites were satisfied. The ANOVA results showed that class had a statistically significant effect on final examination scores (F(2,104) = 2.956; p = 0.00562) and that gender also had a statistically significant effect (F(1,104) = 0.704; p = 0.0032), whereas the class × gender interaction was not statistically significant (F(2,104) = 1.355; p = 0.0626). Post hoc analysis using Tukey’s HSD revealed that differences across classes were primarily driven by the contrast between Class C and Class A (p-adj = 0.0443), while gender-based differences showed a consistent pattern across classes (p-adj = 0.0069). These findings were supported by boxplots and interaction plots that displayed score distributions consistent with the inferential results. Overall, the study indicates that variation in students’ academic performance in the final semester evaluation is independently influenced by class and gender. The findings are expected to inform more data-driven academic decision-making and contribute methodologically to the application of statistical analysis. Based on these results, the study program is advised to standardize instructional implementation and evaluation across classes and to provide more targeted learning support for groups of students who consistently demonstrate lower achievement, so that learning gaps can be reduced in a data-driven manner.Eksplorasi Dinamika Prestasi Akademik pada Evaluasi Akhir Semester Berdasarkan Kelas dan Gender Menggunakan Pendekatan ANOVA Dua ArahABSTRAKEvaluasi hasil belajar merupakan komponen penting dalam pendidikan tinggi karena mencerminkan capaian pembelajaran serta efektivitas proses pembelajaran. Penelitian ini bertujuan menganalisis dinamika prestasi akademik mahasiswa pada ujian akhir semester mata kuliah Statistika Dasar berdasarkan faktor kelas (A, B, C) dan gender (laki-laki, perempuan). Penelitian menggunakan pendekatan kuantitatif eksplanatori dengan desain faktorial dan dianalisis melalui Analisis Varians Dua Arah (two-way ANOVA). Uji asumsi menunjukkan residual berdistribusi normal (Shapiro–Wilk ) dan varians antar-kelompok homogen (Levene p-value = 0.6468), sehingga prasyarat ANOVA terpenuhi. Hasil ANOVA menunjukkan bahwa faktor kelas berpengaruh signifikan terhadap skor ujian akhir semester  dan faktor gender juga berpengaruh signifikan , sedangkan interaksi kelas×gender tidak menunjukkan pengaruh yang signifikan . Uji lanjut Tukey HSD mengungkapkan bahwa perbedaan capaian antar kelas terutama didorong oleh perbedaan Kelas C dan Kelas A (p-adj = 0.0443), sementara perbedaan berdasarkan gender menunjukkan kecenderungan yang konsisten di seluruh kelas  Temuan ini diperkuat oleh boxplot dan interaction plot yang menampilkan pola distribusi skor sejalan dengan hasil inferensial. Secara keseluruhan, penelitian ini menunjukkan bahwa variasi prestasi akademik mahasiswa dalam evaluasi akhir semester dipengaruhi secara independen oleh faktor kelas dan gender. Hasil penelitian ini diharapkan dapat menjadi dasar pengambilan keputusan akademik yang lebih berbasis data, serta memberikan kontribusi metodologis dalam penerapan analisis statistik.  Berdasarkan temuan tersebut, program studi disarankan melakukan standardisasi implementasi pembelajaran dan evaluasi antar kelas serta menyediakan dukungan belajar yang lebih terarah bagi kelompok mahasiswa yang konsisten menunjukkan capaian lebih rendah agar kesenjangan hasil belajar dapat ditekan secara berbasis data.Kata Kunci :Prestasi akademik mahasiswa; Statistika dasar; Evaluasi pembelajaran; ANOVA