Griya Journal of Mathematics Education and Application

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

2026-05-11T07:17:32+01:00

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

2026-05-11T07:17:18+01:00

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

2026-05-20T07:24:26+01:00

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

2026-05-26T07:29:06+01:00

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

2026-06-03T15:33:41+01:00

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

2026-06-03T15:33:29+01:00

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

2026-06-04T15:35:37+01:00

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

2026-06-04T15:35:25+01:00

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

2026-06-08T15:42:25+01:00

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

2026-06-09T15:43:58+01:00

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

2026-06-09T15:43:46+01:00

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.

Pengaruh Model Guided Discovery Learning Berbasis Kearifan Lokal dalam Meningkatkan Pemahaman Konsep SPLDV Siswa

2026-06-11T07:19:48+01:00

Penelitian ini bertujuan untuk mengetahui pengaruh model Guided Discovery Learning berbasis kearifan lokal dalam meningkatkan pemahaman konsep matematika siswa terutama pada materi Sistem Persamaan Linear Dua Variabel. Penelitian menggunakan ss kuantitatif dengan metode Quasi Eksperimen tipe Non-Equivalent Control Group Group Design. Subjek penelitian adalah seluruh siswa kelas VIII SMP Negeri Satu Atap 3 Cina yang berjumlah 38 siswa, terdiri dari 18 siswa di kelas eksperimen dan 20 siswa dikelas kontrol. Hasil analisis menunjukkan bahwa rata-rata nilai posttest kelas eksperimen meningkat dari 41,3 menjadi 79,1 setelah dibelajarkan menggunakan model Guided Discovery Learning berbasis kearifan lokal, sedangkan kelas kontrol meningkat dari 45,3 menjadi 60,8 setelah dibelajarkan menggunakan metode konvensional. Hasil uji Mann-Whitney menunjukkan nilai signifikansi (Asymp sig 2-tailed) sebesar 0,028 < 0,05, yang berarti terdapat perbedaan peningkatan yang signifikan antara kedua kelas. Temuan ini mengindikasikan bahwa model Guided Discovery Learning berbasis kearifan lokal berpengaruh signifikan terhadap peningkatan pemahaman konsep Sistem Persamaan Linear Dua Variabel pada siswa kelas VIII SMP Negeri Satu Atap 3 Cina.

Kemampuan pemecahan masalah SPLDV ditinjau dari kemandirian belajar siswa kelas IX SMPN 1 Narmada

2026-06-12T15:48:52+01:00

Penelitian ini bertujuan untuk mendeskripsikan kemampuan pemecahan masalah sistem persamaan linear dua variabel (SPLDV) ditinjau dari tingkat kemandirian belajar siswa kelas IX SMP Negeri 1 Narmada tahun ajaran 2025/2026. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif. Subjek penelitian berjumlah 35 siswa kelas IX.1 yang diberikan kuesioner kemandirian belajar dan tes kemampuan pemecahan masalah matematika. Selanjutnya, dipilih 8 siswa berdasarkan tingkat kemandirian belajar dan kemampuan pemecahan masalah matematika untuk dilakukan wawancara secara mendalam pada setiap kategori. Hasil penelitian menunjukkan bahwa siswa dengan kemandirian belajar tinggi cenderung mampu memahami masalah, menyusun rencana penyelesaian, dan melaksanakan rencana dengan baik, namun belum terbiasa melakukan pengecekan kembali terhadap hasil jawaban. Siswa dengan kemandirian belajar sedang cenderung menunjukkan kemampuan yang cukup namun belum konsisten pada setiap tahapan pemecahan masalah. Sementara itu, siswa dengan kemandirian belajar rendah cenderung mengalami kesulitan pada hampir seluruh tahapan pemecahan masalah matematika. Dengan demikian, dapat disimpulkan bahwa tingkat kemandirian belajar berperan penting dalam menentukan kualitas kemampuan pemecahan masalah matematika siswa.

Penerapan Metode North West Corner dalam Distribusi Air Galon pada Depot Air Isi Ulang di Tondano

2026-06-12T15:48:39+01:00

Distribution of gallon water is one of the important activities in the operation of refill water depots because it isi directly related to fulfilling customer needs. An irregular distribution process can result in higher shipping costs and less efficient vehicle use. This research was conducted at the Om Nyong Refill Water Depot and the Gloria Water Depot in the Tondano area with the aim of determining the allocation of gallon water distribution using the North West Corner (NWC) method. The method used in this research is a quantitative method with an operations research approach to the transportation model. Research data was obtained through direct observation and interviews with depot owners. The data used included the number of galllons supplied, the number of customer requests, and distribution costs to each destination. The research results showed that the North West Corner (NWC) method can assist in allocasting gallon water distribution according to available supply and demand capacity. Based on the calculation results, the distribution costs for the Om Nyong Refill Water Depot Rp 1,612,000 and the Gloria Water Depot Rp 352,000, bringing the total distribution costs to Rp 1,964,000/week. This method makes the distribution process more organized and makes it easier for the depot to determine the number of deliveries to customers.

Distribusi air galon merupakan salah satu kegiatan penting dalam operasional depot air isi ulang karena berhubungan langsung dengan pemenuhan kebutuhan pelanggan. Proses distribusi yang kurang teratur dapat menyebabkan biaya pengiriman menjadi lebih besar dan penggunaan kendaraan menjadi kurang efisien. Penelitian ini dilakukan pada Depot Air Isi Ulang Om Nyong dan Depot Air Gloria yang berada di wilayah Tondano dengan tujuan untuk mengetahui pengalokasian distribusi air galon menggunakan metode North West Corner (NWC). Metode yang digunakan dalam penelitian ini adalah metode kuantitatif dengan pendekatan riset operasi pada model transportasi. Data penelitian diperoleh melalui observasi dan wawancara langsung dengan pemilik depot. Data yang digunakan meliputi jumlah pasokan galon, junlah permintaan pelanggan, dan biaya distribusi ke setiap lokasi tujuan. Hasil penelitian menunjukkan bahwa metode North West Corner (NWC) mampu membantu proses pengalokasian distribusi air galon sesuai kapasitas supply dan demand yang tersedia. Berdasarkan hasil perhitungan diperoleh biaya distribusi Depot Air Isi Ulang Om Nyong sebesar Rp 1.612.000 dan Depot Air Gloria sebesar Rp 352.000, sehingga total keseluruhan biaya distribusi mencapai Rp 1.964.00/minggu. Dengan adanya metode ini, proses distribusi menjadi lebih teratur dan mempermudah depot dalam menentukan jumlah pengiriman kepada pelanggan.

Kemampuan Pemecahan Masalah Matematika dalam Menyelesaikan Soal Setara PISA Ditinjau dari Gaya Kognitif Siswa

2026-06-15T15:50:14+01:00

This study aims to describe students’ mathematical problem-solving abilities in solving PISA-like problems based on the Field Dependent (FD) and Field Independent (FI) cognitive styles. This research employed a qualitative descriptive design. The subjects of the study were 40 students of class VIIIC at SMP Negeri 2 Mataram in the 2025/2026 academic year, consisting of 20 FD students and 20 FI students. Furthermore, six students, comprising three FD students and three FI students, were selected as interview subjects through purposive sampling. The data were collected using a cognitive style test, namely the Group Embedded Figures Test (GEFT), a mathematical problem-solving test in the form of PISA-like problems, and interview guidelines. Data analysis was conducted based on the Miles and Huberman model, which includes data reduction, data display, and conclusion drawing, while also referring to Polya’s four stages of problem solving. The results of the study indicate that: (1) FD students were generally able to perform three stages of Polya’s problem-solving process, namely understanding the problem, devising a plan, and carrying out the plan. However, FD students were generally unable to perform the looking back stage; (2) FI students were generally able to perform all four stages of Polya’s problem-solving process, namely understanding the problem, devising a plan, carrying out the plan, and looking back. The findings of this study are expected to serve as a consideration for teachers in designing mathematics instruction that is aligned with student’s cognitive style characteristics.

Implementasi Metode K-Medoids Clustering untuk Mengelompokkan Kecenderungan Menonton Drama Korea

2026-06-15T15:50:02+01:00

The phenomenon of watching Korean dramas is increasingly growing among female university students and has the potential to create differences in viewing behavior patterns with varying levels of intensity. This study aims to determine the optimal number of clusters using the Elbow method and to identify respondent grouping patterns based on similarities in Korean drama viewing behavior using the K-Medoids method. In addition, this study evaluates the quality of the formed clusters using an internal validation method, namely the Silhouette Coefficient. The data used are primary data obtained through the distribution of questionnaires to female students at Universitas Negeri Gorontalo, incorporating aspects that represent the intensity and tendencies of Korean drama viewing behavior. The analysis begins with determining the number of clusters using the Elbow method based on changes in the Sum of Squared Errors (SSE). The results show that 4 clusters represent the most representative number of clusters visually. Furthermore, the K-Medoids method is applied to group respondents into 4 clusters based on similarities in their Korean drama viewing behavior. However, the evaluation results using the Silhouette Coefficient indicate that the quality of the formed clusters tends to be low. This is reflected in the variation of silhouette coefficient values, where only one cluster demonstrates good clustering quality, while the others exhibit weaker structures with unclear separation between clusters. This condition indicates the presence of data overlap among clusters, resulting in less distinct cluster boundaries

Analisis Kesalahan Menyelesaikan Soal Cerita SPLDV Berdasarkan Kemampuan Pemecahan Masalah Siswa SMP

2026-06-16T15:51:05+01:00

Penelitian ini bertujuan untuk mendeskripsikan kesalahan siswa dalam menyelesaikan soal cerita SPLDV berdasarkan kemampuan pemecahan masalah matematis, faktor penyebab kesalahan, serta solusi untuk meminimalkan kesalahan tersebut. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif. Subjek penelitian ini terdiri atas 6 siswa kelas IX SMP Negeri 5 Kupang, yang masing-masing terdiri dari 2 siswa berkemampuan tinggi, 2 siswa berkemampuan sedang, dan 2 siswa berkemampuan rendah. Teknik Pengumpulan data menggunakan tes, wawancara, dan dokumentasi. Hasil penelitian ini menunjukan bahwa siswa berkemampuan tinggi melakukan kesalahan pada tahap memeriksa kembali jawaban. Siswa berkemampuan sedang melakukan kesalahan pada tahap merencakan penyelesaian dan memeriksa kembali jawaban. Sementara itu, siswa berkemampuan rendah mengalami kesalahan pada seluruh tahapan pemecahan masalah. Faktor penyebab kesalahan meliputi kurangnya ketelitian, rendahnya pemahaman konsep, dan kurang terbiasanya siswa menyelesaikan soal secara sistematis. Solusi yang dapat dilakukan yaitu membiasakan siswa mengikuti tahapan pemecahan masalah, memperkuat pemahaman konsep SPLDV, dan melatih siswa memeriksa kembali hasil pekerjaannya.

Pengaruh Self Confidence terhadap Hasil Belajar Matematika Siswa Kelas 8A SMP Ta’mirul Islam Surakarta

2026-06-16T15:50:52+01:00

This study aims to analyze the effect of self-confidence on mathematics learning outcomes of grade 8A students at SMP Ta’mirul Islam Surakarta. A quantitative approach was employed with a sample of 30 students selected through simple random sampling. Self-confidence was measured using a Likert scale questionnaire (16 items) based on five Lauster dimensions, while mathematics learning outcomes were obtained from mid-semester examination (UTS) scores. Instrument validity was assessed using Spearman correlation, and reliability was tested using Cronbach’s Alpha coefficient. Results showed that all 16 items were valid (r_count > 0.361) with a Cronbach’s Alpha of 0.854, indicating very high reliability. Spearman correlation analysis yielded ρ = 0.136 with a significance value of p = 0.474 (> 0.05), and simple linear regression analysis produced a regression equation of Y = 57.4787 + 0.1498X with R Square = 0.022 and significance value of F = 0.434 (> 0.05). These results indicate that although there is a positive effect of self-confidence on mathematics learning outcomes, the effect is very weak and statistically not significant. Only 2.2% of the variance in mathematics learning outcomes is explained by self-confidence, while the remaining 97.8% is influenced by other factors, including cognitive ability, teaching methods, learning motivation, learning environment, and the context of Islamic adab-based education that characterizes the research school.

Hubungan Antara Growth Mindset dan Self-Efficacy terhadap Kemampuan Berpikir Kritis Matematis Siswa Kelas XI SMAN 1 Dompu Tahun Ajaran 2025/2026

2026-06-17T15:52:46+01:00

Konfirmasi Skala Pengukuran Mathematical Well-Being Calon Guru Sekolah Dasar: Studi Psikometrik

2026-06-18T15:53:32+01:00

This study aimed to develop and validate the reliability and validity of a mathematical well-being scale for prospective elementary school teachers. A quantitative psychometric design was employed, using Confirmatory Factor Analysis (CFA) to test the hypothesized factor structure. The study involved 204 prospective elementary school teachers in Indonesia, who completed a questionnaire assessing seven dimensions of mathematical well-being: accomplishment, cognition, engagement, meaning, perseverance, positive emotions, and relationships. Results indicated that all dimensions had significant factor loadings and good convergent validity, with Average Variance Extracted (AVE) values above 0.50 for most dimensions. Reliability tests showed high coefficients of omega (ω) and alpha (α), and Heterotrait-Monotrait Ratio (HTMT) analysis indicated good discrimination among dimensions. The CFA model also demonstrated acceptable goodness-of-fit, with CFI = 0.93, TLI = 0.95, SRMR = 0.03, and RMSEA = 0.04. These findings confirm that the scale is valid and reliable, offering a useful tool to assess mathematical well-being among prospective elementary school teachers and informing the design of training programs to enhance the quality of mathematics teaching.

Pengaruh Self Confidence terhadap Kemampuan Komunikasi Matematis Siswa Kelas VIII MTsN 1 Mataram Tahun Ajaran 2025/2026

2026-06-18T15:53:19+01:00

This study aims to determine the significant effect of self-confidence on the mathematical communication skills of eighth-grade students at MTsN 1 Mataram in the 2025/2026 academic year. This study used a quantitative method with an ex post facto approach. The population in this study was all 406 eighth-grade students, with a sample of 108 students selected using cluster random sampling. Data collection techniques in this study used a self-confidence questionnaire and a mathematical communication skills test. Data analysis techniques used were descriptive and inferential statistical analysis with the help of SPSS. The results of the data analysis obtained a regression equation of , a correlation coefficient of 0.721, and a coefficient of determination of 52%. This indicates a significant effect of self-confidence on students' mathematical communication skills.

Penerapan Pendekatan Deep Learning Berbasis Gimkit Terhadap Kemampuan Berpikir Kritis

2026-06-18T15:53:07+01:00

Students' critical thinking skills in mathematics learning are still relatively low, particularly in algebraic operations. This study aimed to analyze the effectiveness of a gimkit web-based deep learning approach in improving students' critical thinking skills. This research employed a quantitative method using a one-group pretest–posttest design involving 27 seventh-grade students of SMP Islam Sultan Agung 4 Semarang. Data were collected through tests, observations, and response questionnaires. The data analysis techniques included normality testing, individual and classical learning mastery analysis, and N-Gain calculation. The results showed a significant improvement in students' scores after the implementation of the treatment. Learning mastery was achieved both individually and classically, and the improvement in critical thinking skills was categorized as high. Furthermore, both teachers and students gave positive responses to the learning process. Therefore, the Gimkit web-based deep learning approach was effective in improving students' critical thinking skills.

Perbandingan Return dan Volatilitas Saham Bank Konvensional dan Syariah di Indonesia dengan Model GARCH(1,1)

2026-06-18T15:52:55+01:00

This study compares the return and volatility of conventional bank stocks (equal-weighted portfolio: BBCA, BBNI, BBRI, BBTN, BMRI, ARTO) and Islamic bank stock (BRIS) listed on the Indonesia Stock Exchange over the period 2022–2026 using the GARCH(1,1) model. BRIS outperforms in terms of return (+0.0226%/day; cumulative +21.58%) but exhibits higher volatility (2.5102% vs. 1.5527%) and greater shock sensitivity (α = 0.1840 vs. 0.0682). Conventional banks show stronger volatility persistence (α + β = 0.9779; half-life 7.32 days) compared to BRIS (α + β = 0.9029; half-life 2.10 days). Both segments exhibit fundamentally different risk-return profiles, while their moderate correlation (ρ = 0.4488) suggests meaningful portfolio diversification opportunities.

Pengaruh Model Pembelajaran Kooperatif Tipe Teams Games Tournament (TGT) Terhadap Kemampuan Pemecahan Masalah Matematis Siswa di SMP Negeri 2 Kuok

2026-06-19T15:54:33+01:00

This study aims to investigate the effect of the cooperative learning models Teams Games Tournament (TGT) on the mathematical problem-solving abilities of seventh-grade student at SMP Negeri 2 Kuok. The background of this research stems from students low ability to solve mathematical problems that require logical and systematic thinking. This study employed a quasi-experimental method with a nonequivalent control group design. The research subjects consistend of two classes: the experimental class, which was tought using the TGT model, and the control class, which was taught using conventional methods. The results showed a significant difference in mathematical problem-solving abilities between students taught using the TGT model and those taught using conventional methods. Additionally, there was a significant improvement in students, problem-solving skills after implementing the TGT model. Therefore, the TGT learning model is effective in enchancing students’ mathematical problem-solving abilities.

Pengaruh Model Pembelajaran Problem-Based Learning (Pbl) Berbasis Artificial Intellingence (Ai) Terhadap Kemampuan Berpikir Kritis Siswa

2026-06-19T15:54:21+01:00

21st-century education demands that students possess critical thinking skills to navigate informational complexities and global dynamics. However, many educational systems remain predominantly focused on content mastery. While content knowledge is essential, the 2018 PISA results indicated that Indonesian students scored below the average in critical thinking proficiency. One effective approach to stimulate these skills is the Problem-Based Learning (PBL) model, which, when supported by technology such as Artificial Intelligence (AI), can enhance personalized learning. This study aims to investigate the effect of integrating AI into the PBL model on students' critical thinking skills at SMA Muhammadiyah Bangkinang. Utilizing a Nonequivalent Control Group experimental design with pre-test and post-test evaluations, the study involved two classes, where the experimental class received AI-based PBL treatment. The results demonstrated a significant increase in the critical thinking skills of the experimental class compared to the control class, yielding an effect size of 1.165, which indicates a high treatment effect. Observations of student activities also revealed enhanced engagement and collaboration. The conclusion of this study confirms that the AI-based PBL model is an innovative and effective method for improving students' critical thinking skills, encouraging them to be more active and creative in problem-solving.The implementation of this method is expected to provide practical contributions to instructional strategies relevant to the 21st century.

Hafalan dan Konstruksi Pengetahuan dalam Pembelajaran Matematika Siswa: Perspektif Konstruktivis

2026-06-19T15:54:08+01:00

Praktik menghafal rumus tanpa pemahaman konseptual yang memadai masih mendominasi pembelajaran matematika di Indonesia. Situasi ini tercermin dalam skor PISA 2022 siswa Indonesia, yang hanya mencapai 366—turun 13 poin dari periode sebelumnya dan jauh di bawah rata-rata global. Artikel ini bertujuan untuk: (1) menganalisis secara kritis dominasi pendekatan pembelajaran hafalan dalam pendidikan matematika Indonesia, (2) mengeksplorasi konstruksi pengetahuan sebagai alternatif yang lebih berorientasi pada pemahaman mendalam, dan (3) menelaah bukti empiris yang mendukung keefektifan pendekatan konstruktivis. Tinjauan pustaka sistematis dilakukan terhadap 26 sumber, termasuk jurnal yang terindeks SINTA, publikasi internasional terkemuka, dan buku referensi relevan yang diterbitkan antara tahun 1997 dan 2025. Temuan penelitian secara konsisten menunjukkan bahwa menghafal secara mekanis hanya menghasilkan pengetahuan yang dangkal dan mudah dilupakan, serta sulit diterapkan pada situasi baru. Sebaliknya, pendekatan konstruktivis yang didasarkan pada teori Piaget dan Vygotsky telah terbukti mampu menumbuhkan pemahaman konseptual yang lebih kokoh dan bertahan lama. Model pembelajaran konstruktivis seperti Pembelajaran Berbasis Masalah dan Pembelajaran Penemuan secara konsisten menghasilkan peningkatan yang signifikan dalam penguasaan konsep dan keterampilan pemecahan masalah matematika. Studi ini menyimpulkan bahwa peralihan dari menghafal secara mekanis menuju konstruksi pengetahuan yang bermakna memerlukan perubahan mendasar dalam peran guru dari sekadar penyampai informasi menjadi fasilitator aktif, disertai dengan penguatan keterampilan proses siswa sebagai landasan pembelajaran matematika yang berkelanjutan.

Analisis Kemampuan Pemecahan Masalah Siswa Ditinjau dari Self-Efficacy Pada Materi Transformasi Geometri

2026-06-21T15:55:46+01:00

Penelitian kualitatif deskriptif ini bertujuan mendeskripsikan kemampuan pemecahan masalah matematika materi transformasi geometri berdasarkan tahapan Polya, ditinjau dari tingkat self-efficacy siswa. Subjek penelitian adalah siswa kelas XI SMA Negeri 4 Mataram yang dipilih melalui purposive sampling. Pengumpulan data menggunakan angket, tes, dan wawancara. Hasil penelitian menunjukkan: (1) Siswa dengan self-efficacy tinggi mampu memenuhi keempat tahap Polya (memahami masalah, menyusun rencana, melaksanakan, dan memeriksa kembali) secara utuh dan akurat; (2) Siswa dengan self-efficacy sedang mampu memahami masalah dan merencanakan penyelesaian dengan baik, namun ragu saat pelaksanaan dan tidak memeriksa ulang tanpa instruksi; (3) Siswa dengan self-efficacy rendah kesulitan memahami materi, sehingga terhambat pada tahap perencanaan dan pelaksanaan, serta tidak melakukan pengecekan ulang. Dapat disimpulkan bahwa tingkat self-efficacy berbanding lurus dengan kemampuan siswa dalam memecahkan masalah matematika.

Efektivitas Metode Permainan Class Mart Berbasis Pendekatan PMRI dalam Meningkatkan Minat Belajar

2026-06-21T15:55:34+01:00

Penelitian ini didorong oleh pembelajaran matematika yang masih bersifat konvensional dan abstrak, sehingga menyebabkan rendahnya minat belajar dan munculnya kebosanan pada siswa. Penelitian ini bertujuan untuk mengukur besarnya peningkatan yang terjadi pada minat belajar matematika siswa sesudah penerapan pembelajaran menggunakan metode permainan Class Mart berbasis pendekatan Pendidikan Matematika Realistik Indonesia (PMRI). Penelitian menggunakan pendekatan kuantitatif model One-Group Pretest-Posttest Design yang dilaksanakan di SD Negeri Wotan 02 pada periode Maret 2026 hingga April 2026. Data dikumpulkan melalui instrumen angket dan lembar observasi yang telah divalidasi, kemudian dianalisis menggunakan Paired Sample t-Test dan N-Gain Score. Hasil penelitian menunjukkan adanya perbedaan signifikan berupa peningkatan pada minat belajar matematika setelah penerapan metode permainan Class Mart berbasis pendekatan Pendidikan Matematika Realistik Indonesia (PMRI). Analisis statistik menunjukkan perolehan skor N-Gain sebesar 0,56 (kategori Sedang) dan persentase N-Gain sebesar 56,36% menunjukkan bahwa metode ini "Cukup Efektif." Kesimpulannya, metode permainan Class Mart berbasis pendekatan PMRI cukup efektif untuk meningkatkan minat belajar matematika siswa secara signifikan, khususnya pada materi bilangan sampai 1.000.000.

Implementasi Penilaian Portofolio dan Unjuk Kerja dalam Mengukur Kemampuan Berpikir Kritis Matematis Siswa SMP Negeri 4 Banyumas

2026-06-21T15:55:59+01:00

Critical thinking skills in mathematics are among the essential competencies that need to be developed in junior high school mathematics education. However, assessment practices in mathematics learning still tend to emphasize final outcomes through written examinations, resulting in limited evaluation of students' thinking processes. This study aims to describe the implementation of portfolio assessment and performance assessment in evaluating students' mathematical critical thinking skills at SMP Negeri 4 Banyumas. The study employed a qualitative approach using a descriptive research method. Data were collected through interviews with mathematics teachers and documentation of students' work. Data analysis was conducted descriptively through the stages of data reduction, data display, and conclusion drawing. The findings revealed that performance assessment was implemented through group presentations, classroom problem-solving activities, and final quizzes, while portfolio assessment was conducted through individual assignments and students' work collected throughout the learning process. Both assessment types provided more comprehensive insights into students' mathematical critical thinking skills compared to traditional assessment methods. The study indicates that authentic assessment can support teachers in evaluating students' thinking processes, engagement, and mathematical communication skills more thoroughly.

Perbandingan Penyelesaian SPL dengan Metode Eliminasi Gauss Menggunakan Aplikasi Berbasis Windows dan Android

2026-06-22T15:56:12+01:00

This study aims to compare the solution of systems of linear equations (SLE) using the Gaussian elimination method through Windows and Android-based applications. This study is a comparative study with a quantitative descriptive approach focusing on the analysis of calculation results and the efficiency of software usage in the context of numerical analysis. Data were obtained from two SLE problem scenarios involving fractional and decimal coefficients, which were then solved using several applications, namely Maple, Microsoft Excel, and the Gauss-Elim calculator. The analysis was conducted based on aspects of accuracy, efficiency, possibility of errors, and ease of use. The results show that Windows and Android-based applications produce the same solutions despite following different solution procedures. Maple demonstrates a high level of accuracy with a systematic and structured solution process. Microsoft Excel requires greater precision because most procedures are carried out manually through elementary row operations. Meanwhile, the Gauss-Elim calculator is the most practical and efficient application because it can display solutions automatically in a short time. Therefore, each application has its own advantages and limitations in supporting SLE solutions using the Gaussian elimination method.

Simulasi Numerik Pengendalian Endemik Demam Berdarah Dengue di Kabupaten Minahasa menggunakan Pendekatan Model SIR-A

2026-06-22T15:56:25+01:00

Dengue Hemorrhagic Fever (DHF) persists as a critical threat to public health sectors within tropical ecosystems, including Indonesia. This study evaluates the epidemiological fluctuations of Dengue virus transmission in Minahasa Regency by formulating a SIR-A compartmental mathematical model, focusing on the contribution of strengthened clinical interventions to patient recovery rates. The developed dynamic framework incorporates interactions between human cohorts (susceptible, infected, and recovered phases) and an aquatic pre-adult vector group (mosquito larvae/pupae). The investigative procedure involves constructing a system of nonlinear ordinary differential equations, followed by establishing equilibrium states, calculating the basic reproduction number () threshold, and executing computational simulations via Wolfram Mathematica. Computational outputs demonstrate that an escalation in mosquito larvae density correlates positively with accelerated disease transmission rates. Conversely, optimizing clinical control by increasing the recovery parameter significantly reduces the active infected cohort and drives the system’s trajectory toward a stable disease-free equilibrium state. These insights indicate that accelerating patient care effectiveness and upgrading healthcare infrastructure are crucial policy instruments for suppressing DHF endemic risks in Minahasa Regency.

Pengaruh Kecemasan Matematika terhadap Kemampuan Pemecahan Masalah Berbasis Tahapan Polya di MAN 1 Karanganyar

2026-06-22T15:56:00+01:00

Tujuan dilakukannya penelitian ini ialah guna menganalisis pengaruh kecemasan matematika terhadap kemampuan memecahkan permasalahan pada materi Sistem Persamaan Linear Dua Variabel (SPLDV) berdasarkan tahapan Polya pada siswa kelas XD MAN 1 Karanganyar. Penelitian ini memanfaatkan jenis pendekatan kuantitatif yang memakai desain korelasional-regresi. Sebanyak 36 siswa menjadi subjek pada penelitian ini yang dipilih dengan memanfaatkan teknik purposive sampling. Data-data kecemasan matematika dikumpulkan dengan memakai angket skala Likert 12 butir yang mencakup dimensi fisiologis, kognitif, dan afektif (α = 0,852), sedangkan kemampuan pemecahan masalah diukur melalui tes uraian 5 butir soal berdasarkan empat tahapan Polya. Proses menganalisis data pada penelitian ini dilaksanakan dengan memakai regresi linear sederhana yang memanfaatkan bantuan R Studio dan Microsoft Excel. Hasil penelitian memperlihatkan bahwasanya sebagian besar siswa masuk pada golongan kecemasan sedang (69,44%) dan kemampuan pemecahan masalah kategori kurang (44,44%) dengan rata-rata nilai 64,33. Hasil uji regresi menunjukkan bahwa kecemasan matematika tidak memberi pengaruh yang signifikan pada kemampuan memecahkan permasalahan SPLDV (r = 0,028; R² = 0,0008; F = 0,026; p = 0,873 > 0,05). Temuan ini mengindikasikan bahwa rendahnya kemampuan pemecahan masalah siswa lebih dipengaruhi oleh faktor-faktor lain di luar kecemasan matematika, seperti penguasaan konsep, strategi belajar, dan kualitas pembelajaran.

Analisis Kecemasan Matematika dan Akurasi Pemahaman Konsep Guru Sekolah Dasar dalam Perspektif Faktor Demografis

2026-06-23T15:56:48+01:00

Mathematics anxiety is experienced not only by students but also by elementary school teachers and may affect instructional quality, particularly conceptual understanding accuracy. This study aimed to (1) identify teachers’ levels of mathematics anxiety, (2) examine factors associated with mathematics anxiety, and (3) analyze its effect on conceptual understanding accuracy. A quantitative correlational-regression design was employed involving 85 elementary school teachers from Teacher Working Group (KKG) Cluster 1, Sintang District. Data were collected through a mathematics anxiety questionnaire and a conceptual understanding test and analyzed using descriptive statistics, t-tests, Pearson correlation, and multiple linear regression. The results showed that teachers’ mathematics anxiety was at a moderate level. Significant differences were found based on gender and grade level taught, whereas no significant relationship was found with teaching experience. Self-confidence was negatively associated with mathematics anxiety. Furthermore, mathematics anxiety had a significant negative effect on conceptual understanding accuracy after controlling for other variables. The regression model explained 35% of the variance in conceptual understanding accuracy (R² = 0.35), with mathematics anxiety emerging as a significant negative predictor (β = −0.38, p < 0.001). These findings highlight the importance of addressing teachers’ affective factors in professional development.

Inovasi Media Pembelajaran Android Berbasis Construct 2 pada Materi SPLDV untuk Mendukung Pembelajaran Matematika Interaktif

2026-06-23T15:56:35+01:00

This research is motivated by students' difficulties in understanding and solving Linear Equation System of Two Variables (SPLDV) problems. This study aims to develop a valid, practical, and effective Android-based learning media using Construct 2 on SPLDV material to support interactive mathematics learning. This research employs a Research and Development (R&D) method, utilizing a 4D model (Define, Design, Develop, and Disseminate). The research subjects were 30 eighth-grade students at MTsN Gowa. The instruments used included validation sheets, teacher and student response questionnaires, as well as pre-test and post-test. The results showed that the learning media met the very valid criteria with an average expert assessment percentage of 94.52%. The media was also declared very practical based on 100% learning implementation, 92.50% teacher response, and 89.56% student response. Furthermore, the media proved effective with a classical completeness of 76.67% and an increase in average student learning outcomes from 27.17 to 80.50. In conclusion, this Android-based learning media is feasible and effectively used as an interactive learning alternative for SPLDV material.

Peningkatan Pemahaman Konsep Trigonometri melalui Pembelajaran Discovery Learning

2026-06-24T15:57:44+01:00

This classroom action research aimed to improve students' conceptual understanding of trigonometry through the implementation of the Discovery Learning model. The study was motivated by the low conceptual understanding of students, particularly in explaining concepts, connecting trigonometric concepts, and applying them to various problem-solving situations. The research was conducted in Class X Unggul 3 of SMA Negeri 3 Parepare during the 2025/2026 academic year and involved 32 students. The study employed a mixed-methods approach and was carried out in three cycles, each consisting of planning, action, observation, and reflection stages. Data were collected through conceptual understanding tests, observations, interviews, and documentation. The results showed a consistent improvement in students’ conceptual understanding across all indicators. The average conceptual understanding score increased from 56 in the pre-cycle stage to 68 in Cycle I, 78 in Cycle II, and 88 in Cycle III. Learning mastery also improved from 31.25% in the pre-cycle stage to 56.25% in Cycle I, 78.13% in Cycle II, and 93.75% in Cycle III. These findings indicate that the implementation of the Discovery Learning model contributed to the improvement of students’ conceptual understanding and learning mastery in trigonometry through active engagement in the process of discovering and constructing mathematical concepts.

Eksplorasi Konsep Segitiga pada Geometri Euclid dan Non-Euclid untuk Meningkatkan Pemahaman Siswa SMA

2026-06-24T15:57:24+01:00

This study aims to analyze students' conceptual understanding of triangle concepts in Euclidean and Non-Euclidean geometry through the implementation of exploratory learning. The study was conducted using a quantitative descriptive approach involving 30 twelfth-grade students at SMA Methodist Antiokhia Pancur Batu. Data were collected through observation and a Likert-scale questionnaire consisting of 20 statement items based on four indicators, namely understanding of Euclidean geometry, understanding of Non-Euclidean geometry, conceptual understanding of triangles, and cognitive impact of learning. The data were analyzed using descriptive statistical techniques by calculating the mean score of each indicator, which generally fell into the high category (range 2.98–3.41), with understanding of Non-Euclidean geometry still slightly lagging behind the other three indicators. The key finding of this study is that exploratory learning effectively encourages students to build a deeper conceptual understanding of triangles through observation, analysis, and discussion, rather than relying on rote procedural memorization. More importantly, integrating Euclidean and Non-Euclidean geometry within a single learning sequence was shown to broaden students' way of thinking: students came to understand not only the properties of triangles on flat planes but also that these properties can change on curved surfaces, resulting in a more flexible and contextual understanding of geometry. These findings imply that an integrative approach combining Euclidean and Non-Euclidean geometry has potential as an alternative strategy for teaching geometry at the senior high school level to foster students' critical and analytical thinking skills, while also addressing the gap in Non-Euclidean geometry instruction that remains rarely introduced at the secondary education level.

Pengaruh Adversity Quotient (AQ) terhadap Kemampuan Numerasi Matematis Siswa Kels VIII SMPN 1 Batulayar

2026-06-24T15:57:11+01:00

Rendahnya kemampuan numerasi matematis siswa sebagaimana yang tercermin pada hasil PISA 2022 serta observasi awal di SMPN 1 Batulayar masih menjadi masalah yang sering dijumpai. Faktor non kognitif seperti Adversity Quotient (AQ) diduga turut memengaruhi kemampuan siswa dalam menyelesaikan permasalahan numerasi matematis. Penelitian ini bertujuan untuk mengetahui bagaimana pengaruh AQ terhadap kemampuan numerasi matematis siswa kelas VIII SMPN 1 Batulayar tahun ajaran 2025/2026 dan seberapa besar pengaruhnya. Penelitian ini menggunakan pendekatan ex post facto dengan teknik sampel jenuh sehingga seluruh populasi dijadikan sampel penelitian yang berukuran 72 orang. Instrumen dalam penelitian ini adalah angket adversity quotient serta tes kemampuan numerasi matematis. Dengan menggunakan analisis regresi linier sederhana dan diperoleh hasil penelitian yaitu 1) Terdapat pengaruh yang positif dan signifikan antara AQ dengan kemampuan numerasi matematis siswa kelas VIII SMPN 1 Batulayar tahun ajaran 2025/2026 serta 2) Besarnya pengaruh antara AQ dengan kemampuan numerasi matematis siswa kelas VIII SMPN 1 Batulayar tahun ajaran 2025/2026 ialah sedangkan sisanya yaitu dipengaruhi oleh faktor lain yang tidak diteliti dalam penelitian ini.