Griya Journal of Mathematics Education and Application

Teori Dualitas Lagrange dalam Optimasi Non-Linier: Tinjauan Naratif dari Perspektif Analisis Geometris Modern

Aprilia Rahmawati, Sisca Octarina, Fitri Maya Puspita — Sun, 10 May 2026 00:00:00 +0100

Lagrangian duality theory constitutes a fundamental framework in nonlinear optimization analysis, connecting primal problems with dual problems through the Lagrange function. This article presents a comprehensive narrative review of Lagrangian duality theory development from the perspective of modern geometric analysis. We explore the geometric structure of primal-dual spaces, Karush-Kuhn-Tucker (KKT) optimality conditions, and strong and weak duality theorems in the context of constrained optimization. The discussion encompasses geometric interpretations of saddle points, convexity in duality theory, and the duality gap as a solution quality measure. Furthermore, we analyze theoretical applications from functional analysis and topology perspectives, including the role of reflexive Banach spaces and Fréchet differentiability in characterizing optimal solutions. The findings demonstrate that geometric approaches provide profound insights into optimization problem structures and open new perspectives in numerical algorithm development. This review contributes to a more robust theoretical understanding of the mathematical foundations of nonlinear optimization and its relevance in contemporary applied mathematics.

Analisis Statistik Pengaruh Mata Kuliah Ekonometrika Terhadap Minat Mahasiswa Jurusan Ekonomi dalam Penelitian Kuantitatif

Mon, 11 May 2026 06:10:44 +0100

Penelitian ini bertujuan untuk menganalisis pengaruh penguasaan mata kuliah Ekonometrika terhadap minat mahasiswa dalam melakukan penelitian kuantitatif. Penguasaan metode kuantitatif merupakan kompetensi penting bagi mahasiswa ekonomi dalam menghadapi tantangan penelitian berbasis data. Penelitian ini menggunakan pendekatan kuantitatif dengan desain survei. Data dikumpulkan melalui kuesioner skala Likert dan dokumentasi nilai akhir mata kuliah Ekonometrika. Sampel penelitian terdiri atas mahasiswa Program Studi Ekonomi Syariah STAI Al-Gazali Soppeng yang telah menempuh mata kuliah Ekonometrika. Analisis data dilakukan menggunakan korelasi Pearson dan regresi linear sederhana setelah terlebih dahulu memenuhi uji asumsi klasik. Hasil penelitian menunjukkan bahwa penguasaan mata kuliah Ekonometrika berpengaruh positif dan signifikan terhadap minat mahasiswa dalam penelitian kuantitatif dengan koefisien regresi sebesar 0,654 dan nilai signifikansi . Koefisien determinasi menunjukkan bahwa penguasaan Ekonometrika menjelaskan 39,9% variasi minat penelitian kuantitatif mahasiswa. Temuan ini menegaskan pentingnya pembelajaran Ekonometrika yang aplikatif dan berpusat pada mahasiswa untuk meningkatkan minat dan keterlibatan mahasiswa dalam penelitian kuantitatif.

Analisis Kemampuan Mathematical Problem-Solving Dalam Pembelajaran Matematika: Systematic Literature Review

Marweli Yusuf, Lukita Ambarwati, Vera Maya Santi — Tue, 19 May 2026 08:09:51 +0100

Penelitian ini bertujuan menganalisis kemampuan mathematical problem-solving (MPS) dalam pembelajaran matematika melalui pendekatan Systematic Literature Review (SLR). MPS dipahami sebagai kemampuan siswa dalam memahami, merumuskan, merencanakan, dan menyelesaikan permasalahan matematis yang tidak memiliki prosedur penyelesaian langsung. Kajian dilakukan dengan mengikuti tahapan SLR, mulai dari perumusan pertanyaan penelitian, strategi dan metode pencarian, penetapan cakupan, hingga penyusunan search string. Pencarian artikel dilakukan melalui Google Scholar dan ERIC dengan kriteria inklusi enam tahun terakhir. Dari 50 artikel yang teridentifikasi, 15 artikel memenuhi kriteria final dan dianalisis secara mendalam. Hasil telaah menunjukkan bahwa sebagian besar penelitian menggunakan strategi pemecahan masalah Polya, sementara strategi Sumarmo, NCTM, serta Krulik dan Rudnick digunakan dalam frekuensi lebih rendah. Temuan juga mengungkap bahwa kemampuan MPS siswa masih tergolong rendah akibat keterbatasan penguasaan konsep, fleksibilitas kognitif, serta kapasitas memori kerja. Secara keseluruhan, SLR ini memberikan gambaran komprehensif mengenai definisi, tahapan, dan karakteristik soal MPS, serta menawarkan rekomendasi untuk meningkatkan implementasinya dalam pembelajaran matematika.

Analisis Komparasi Kendaraan Penumpang dan Logistik di Pelabuhan Penyeberangan Bakauheni

Febriyanti Himmatul Ulya, Aulia Ika Atika, Yulia Puspita Sari, Hartina Husain — Mon, 25 May 2026 18:00:29 +0100

Fluktuasi jumlah kendaraan di pelabuhan penyeberangan menimbulkan ketidakpastian operasional, terutama pada rute-rute sibuk seperti lintasan Bakauheni-Merak. Memahami pola kedatangan berdasarkan jenis kendaraan dan waktu kedatangan kapal sangat penting dilakukan untuk meminimalkan antrean dan meminimalisir biaya operasional. Penelitian ini bertujuan untuk menganalisis pengaruh dan interaksi antara kategori kendaraan penumpang dan kendaraan logistik serta waktu kedatangan kapal (shift) terhadap jumlah kendaraan. Penelitian ini merupakan penelitian kuantitatif dengan analisis data menggunakan analisis ANOVA dua arah. Berdasarkan analisis yang dilakukan pada 75.407 data kedatangan kapal menunjukkan bahwa jenis kendaraan dan waktu kedatangan kapal memiliki pengaruh independen yang signifikan (p < 0,05). Ditemukan pula efek interaksi yang signifikan (p = 0,000), di mana kendaraan penumpang (kelas IVA) mendominasi pada jam kedatangan 08:00–15:59 dan 16:00–23:59 (Rata-rata ≈ 26 unit), sedangkan kendaraan logistik (kategori IVB) mencapai puncaknya antara pukul 00:00 dan 07:59 (Rata-rata = 6,89). Model tersebut hanya menjelaskan 18,3% variasi, temuan-temuan ini secara konsisten menunjukkan adanya pembagian waktu operasional yang berbeda-beda di antara jenis kendaraan.

Hubungan Self-Efficacy dan Motivasi Belajar dengan Kemampuan Koneksi Matematis Mahasiswa

Tue, 02 Jun 2026 23:13:00 +0100

This study aims to examine the relationship between self-efficacy and learning motivation with students’ mathematical connection ability. The background of this research is the low ability of students to connect mathematical concepts, especially in higher education. This study used a quantitative approach with a correlational design involving 50 sixth-semester students who had taken a Basic Statistics course. Data were collected through self-efficacy and learning motivation questionnaires, as well as a mathematical connection ability test. The data were analyzed using descriptive statistics and inferential statistics, with the Spearman correlation test applied due to non-normal data distribution. The results showed that learning motivation has a significant relationship with mathematical connection ability, while self-efficacy does not show a significant relationship. The contribution of learning motivation to mathematical connection ability is greater compared to self-efficacy. These findings indicate that learning motivation plays a more dominant role in improving students’ ability to connect mathematical concepts. Therefore, efforts to enhance students’ motivation are essential in supporting better mathematical understanding.

Eksplorasi Konsep Geometri Pada Motif Ruit Dalam Balutan Kain tenun Ikat sumba Timur

Tue, 02 Jun 2026 23:35:39 +0100

Matematika tidak hanya di pelajari di ruang kelas, tetapi juga harus hadir dalam kehidupan sehari-hari. Misalnya termuat dalam budaya yang ada dalam masyarakat. Contoh budaya dalam masyarakat yang terdapat pembelajaran matematika yaitu pada motif kain tenunan Sumba Timur. Penelitian ini bertujuan untuk mengeksplorasi konsep geometri yang terdapat pada motif ruit dalam balutan kain tenun Sumba Timur. Penelitian menggunakan metode kualitatif dengan pendekatan etnomatematika melalui studi literatur dan analisis visual terhadap motif tenun. Hasil penelitian menunjukan bahwa motif ruit memiliki bentuk dasar menyerupai belah ketupat yang menunjukan konsep simetri pola berulang serta transformasi geometri. Selain itu, motif tersebut juga memiliki makna filosofis yang berkaitan dengan keseimbagan hidup, hubungan manusia, alam leluhur, dan penciptanya serta, nilai-nilai budaya lokal dapat menjadi sumber pembelajaran matematika yang kontekstual dan relevan.

Metode Interpolasi Newton dengan Selisih Terbagi Menggunakan Python dan Excel: Studi Efisiensi dan Visualisasi

Meita Rehania, Ratih Irmawanti, Ari Wibowo — Thu, 04 Jun 2026 05:31:35 +0100

Interpolation is one of the numerical methods used to estimate the value of a function between known data points. One commonly used technique is Newton's divided difference method. This study aims to explore the implementation of this method using two applications, namely Microsoft Excel and Python, and to compare their accuracy, efficiency, and ease of use. The method employed is a descriptive quantitative case study with data consisting of four points (x, f(x)), and it calculates the approximate function value at the point x=2.5. The calculations were performed manually in Excel and automatically through a Python script. The results show that both applications produced the same interpolation value, f(2.5) = 13.3125, with zero error. The graphical visualization in both applications also aids in understanding the function's approximation. Excel is rated superior in ease of use and initial visualization, while Python is more flexible for processing large-scale data and automation. This study recommends the complementary use of both learning and advanced numerical analysis.

PENGARUH Pengaruh Self-Confidence Terhadap Kemampuan Pemecahan Masalah Matematis Siswa

Thu, 04 Jun 2026 05:51:11 +0100

This study aims to investigate and identify the relationship between students’ self-confidence and their ability to solve mathematical problems. Empirical findings indicate that students still demonstrate relatively low ability in solving mathematical problems. Therefore, the background of this study requires further analysis of the factors that contribute to this issue. To examine how the variables are related, this study employs a quantitative approach with a correlational research design. The data collection techniques include questionnaires to measure students’ self-confidence and tests to assess their ability to solve mathematical problems. Data were collected through questionnaires to measure the level of self-confidence and tests based on specific indicators to evaluate problem-solving abilities in mathematics. To test the research hypothesis, the data were analyzed using normality tests and simple linear regression analysis. The findings reveal that self-confidence does not have a significant effect on students’ ability to solve mathematical problems. However, students with higher levels of self-confidence tend to have better conceptual understanding and problem-solving abilities. These results indicate that, in addition to self-confidence, there are other factors that also influence mathematical problem-solving ability, and some of these factors may play a more dominant role.

Faktor–Faktor yang Berhubungan dengan Kejadian Underweight pada Balita dari Keluarga Petani di Kecamatan Limboto

Mon, 08 Jun 2026 04:53:39 +0100

Masalah underweight pada balita masih menjadi tantangan kesehatan masyarakat, khususnya pada komunitas keluarga petani. Kecamatan Limboto merupakan salah satu wilayah dengan prevalensi balita underweight yang tinggi yaitu sebesar 317 kasus pada tahun 2024 dan kembali bertambah menjadi 365 kasus pada tahun 2025. Penelitian ini bertujuan untuk mengetahui hubungan antara faktor kesehatan dan sosial ekonomi dengan kejadian underweight pada balita dari keluarga petani di Kecamatan Limboto. Desain penelitian yang digunakan cross sectional dan teknik sampling purposive sampling. Data diperoleh dari kuesioner yang diisi oleh ibu atau pengasuh utama balita. Analisis data dilakukan menggunakan tabel kontingensi untuk melihat distribusi data dan uji chi-square untuk menguji hubungan antara variabel independen dan kejadian underweight. Hasil penelitian menunjukkan bahwa terdapat hubungan yang signifikan antara riwayat BBLR, riwayat ASI eksklusif, tingkat pengetahuan ibu, pola asuh, dan ketahanan pangan dengan kejadian underweight pada balita. Sementara itu, riwayat penyakit infeksi, tingkat pendidikan ibu dan pendapatan keluarga tidak menunjukkan hubungan yang signifikan. Kesimpulan penelitian ini menunjukkan bahwa faktor kesehatan dan pola pengasuhan memiliki peran penting dalam kejadian underweight pada balita dari keluarga petani, sehingga diperlukan upaya edukasi dan intervensi gizi yang lebih terarah

Perbandingan Perbandingan Pengaruh Problem Based Learning Dan Inquiry Based Learning Terhadap Kemampuan Literasi Numerasi Siswa

Irma Safira, Heni Pujiastuti, Fakhrudin Fakhrudin — Mon, 08 Jun 2026 17:02:55 +0100

This study compares the effect of Problem Based Learning (PBL) and Inquiry Based Learning (IBL) learning models on students' numeracy literacy skills. The objectives of the study were to describe students' numeracy literacy skills using both models, to determine the differences in their effects, and to test the improvement in students' abilities after implementation. The study used a quasi-experimental design involving 60 eighth-grade students of SMP Negeri 1 Padarincang who were divided into two experimental groups. Data were collected through pretests and posttests of numeracy literacy. The results showed that students who learned using the IBL model had higher numeracy literacy skills and more significant improvements compared to the PBL model. It was concluded that the IBL model was more effective in improving students' numeracy literacy.

Kemampuan Komunikasi Matematis Siswa dalam Menyelesaikan Soal Teorema Pythagoras ditinjau dari Minat Belajar

Cahya Ningrum Ma'idah Putri, Sri Subarinah, Tabita Wahyu Triutami — Tue, 09 Jun 2026 00:00:00 +0100

Mathematical communication ability is the student's ability to convey mathematical ideas through writing, symbols, and visual representations. Learning interest is one of the factors that encourages students to be more active in learning and more confident in expressing mathematical ideas. This study aims to describe students' mathematical communication abilities in solving Pythagorean Theorem problems in terms of learning interest. This research uses a qualitative descriptive approach and was conducted in class VIII of SMP Negeri 7 Mataram in the 2025/2026 academic year. The subjects of this study were 42 students, consisting of 11 students with high learning interest, 18 students with moderate learning interest, and 13 students with low learning interest. Furthermore, 8 students were selected for interviews, consisting of 3 students with high interest, 3 with moderate interest, and 2 with low interest. Data collection techniques included questionnaires, tests, and interviews. Data analysis was performed through data reduction, data presentation, and drawing conclusions. The results showed that students' mathematical communication abilities differ at each level of learning interest. Students with high interest tend to be better at expressing ideas and using symbols; students with moderate interest are fairly good but still have difficulty explaining the solution steps; whereas students with low interest have difficulty expressing ideas and explaining the problem-solving process. Thus, learning interest is not always directly proportional to students' mathematical communication abilities.