Journal of Mathematics, Statistics and Applications
type: channel
publisher: PT. Lontara Digitech Indonesia
language: en
publication name: Journal of Mathematics, Statistics and Applications
issn: 3089-7076
items: Tantangan dan Solusi Guru dalam Evaluasi Pembelajaran Matematika di SMP untuk Mengukur Penilaian Autentik di Tengah Tekanan Waktu: Sebuah Systematic Literature Review
items: Pengaruh Proses Distorsi dan Lupa Dalam Perkembangan Peserta Didik
items: Minimnya Refleksi Diri Siswa dalam Evaluasi Pembelajaran Matematika: Tantangan dan Solusi Berbasis Teori dan Praktik
items: Dampak Pemanfaatan AI terhadap Pemahaman Konsep Matematika di Era Digital
items: Autokorelasi Spasial Prevalensi Ketidakcukupan Konsumsi Pangan di Pulau Kalimantan Tahun 2024
items: Pengaruh Kemampuan Pemecahan Masalah terhadap Hasil Belajar Matematika
items: Literature Review: Model Matematika Dinamika Penyebaran Penyakit Monkeypox
items: Teori Graf: Peta Cerdas untuk Era Society 5.0
items: Augmented Reality dalam Pembelajaran Geometri: Dampak, Tantangan, dan Arah Masa Depan
items: Peran Pemecahan Masalah dalam Meningkatkan Kemandirian Belajar Peserta Didik melalui Metode Problem Based Learning
items: Studi Literatur: Sistematisasi Metode Kuantitatif dalam Pemodelan Tingkat Pengangguran di Indonesia
items: Pengaruh Pengetahuan Kalkulus Diferensial terhadap Hasil Belajar Mahasiswa Program Studi Sains Aktuaria pada Mata Kuliah Kalkulus Integral
items: Schrödinger-type Equation with the Data in Morrey Spaces
items: Fungsi Konveks dalam Optimisasi: Struktur, Sifat, dan Generalisasinya
items: Pengaruh Blended Learning terhadap Pemahaman Materi Matematika di Era Digital
items: Analisis Pemahaman Konsep Matematika Siswa dengan Gaya Kognitif Field Dependent pada Materi Segiempat
items: Tinjauan Singkat tentang Optimisasi Konveks
items: Penerapan Model Markowitz dalam Pembentukan Portofolio Optimal pada Saham Teraktif di BEI
items: Perhitungan Expected Return dan Risiko untuk Menentukan Portofolio Efisien pada Perusahaan Keuangan di Bursa Efek Indonesia Menggunakan Model Markowitz
items: Penerapan Model Markowitz dalam Menentukan Portofolio Optimal di Pasar Saham Syariah
items: Pembentukan Portofolio Pada Saham Industri Batu Bara BEI Menggunakan Model Markowitz
items: Optimalisasi Portofolio Saham dengan Model Markowitz pada Perusahaan Manufaktur Di Bursa Efek Indonesia Periode Agustus 2023-Juli 2024
items: Aplikasi Algoritma Semut Pada Penentuan Rute Terpendek Sistem Pengangkutan Sampah Kota Makassar

Tantangan dan Solusi Guru dalam Evaluasi Pembelajaran Matematika di SMP untuk Mengukur Penilaian Autentik di Tengah Tekanan Waktu: Sebuah Systematic Literature Review
type: item
description: This study aims to analyze the challenges and solutions faced by teachers in implementing authentic assessment in junior high school mathematics learning amidst time constraints, administrative burdens, and curriculum demands. Using a Systematic Literature Review (SLR) approach, 12 studies published between 2020 and 2025 were analyzed, consisting of eight studies in Indonesia and four studies in Southeast Asia and internationally. The study results indicate that the implementation of authentic assessment is hampered by teachers' low skills in designing valid rubrics, excessive administrative burdens, and pressure to achieve curriculum targets, which makes teachers tend to revert to using conventional tests. However, the literature also highlights several solutions, including the use of digital technologies such as Learning Management Systems (LMS) and rubric generators, ongoing teacher training and workshops, and collaboration through peer assessment to streamline the evaluation process. This study recommends that schools and policymakers reduce non-teaching administrative burdens, provide regular professional training, and develop practical and flexible assessment guidelines to support the sustainable and effective implementation of authentic assessment in mathematics learning.
subject: Articles
  topic: section
subject: Authentic Assessment
  topic: keywords
subject: Mathematics Education
  topic: keywords
subject: Junior High School
  topic: keywords
subject: Teacher Challenges
  topic: keywords
creator: Syamsinar Syamsinar
creator: Nur Syazwana
creator: Dianti Hijaya
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-12-05
publication date: 2025-12-05
starting page: 150
ending page: 159
doi: 10.61220/

Pengaruh Proses Distorsi dan Lupa Dalam Perkembangan Peserta Didik
type: item
description: This article presents an in-depth analysis of the process of distortion and forgetting in student development. Combining literature from various scientific disciplines such as cognitive psychology, neuroscience, and education, this study discusses the mechanisms, impacts, and implications of the process of distortion and forgetting on students' learning and development. The method used is a descriptive method using a literature review approach. The aim of this research is to determine the relationship or connection between the processes of distortion and forgetting in learning or student development. The research results show that the influence of the distortion and forgetting process has a significant role in students' development in making decisions. Awareness of distortions and forgetting can help students identify and overcome potential risks in decision making. On the other hand, forgetting information, forgetting tendencies, and forgetting consequences can have a serious impact on students' evaluation and decision making planning.
subject: Articles
  topic: section
subject: Student Development
  topic: keywords
subject: Distortion Process
  topic: keywords
subject: Forgetting
  topic: keywords
creator: Ahyani Mirah Liani
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-12-03
publication date: 2025-12-03
starting page: 117
ending page: 123
doi: 10.61220/

Minimnya Refleksi Diri Siswa dalam Evaluasi Pembelajaran Matematika: Tantangan dan Solusi Berbasis Teori dan Praktik
type: item
description: The lack of student self-reflection in evaluating mathematics learning is a serious challenge that hinders the development of conceptual understanding and critical thinking skills. This literature review aims to identify factors that can lead to a lack of reflective practice in mathematicsclasses, highlight the role of teachers as facilitators, and recommend effective strategies based on educational theory and field practice. The results of this study indicate that self-reflection is still rarely actively facilitated, both by teachers and evaluation systems that emphasize the end productrather than the process. Teachers have a strategic role in guiding students through directed reflection, while metacognitive approaches and collaborative learning can encourage the growth of reflective habits. Transformation of the evaluation system that values the thinking process is needed so that students develop into independent, conscious, and critical learners. Thus, building a reflective culture is not only about improving learning outcomes, but also shaping character and lifelong learning competencies.
subject: Articles
  topic: section
subject: Teacher’s Role
  topic: keywords
subject: Mathematics Learning
  topic: keywords
subject: Self Reflection
  topic: keywords
creator: Fadhilah Nur Sa'diyyah
creator: Ibnu Hajar
creator: Fitri Fitri
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-12-03
publication date: 2025-12-03
starting page: 124
ending page: 130
doi: 10.61220/

Dampak Pemanfaatan AI terhadap Pemahaman Konsep Matematika di Era Digital
type: item
description: The use of artificial intelligence (AI) in mathematics learning has continued to grow alongside the rapid digitalization of the education sector. This study aims to analyze the impact of AI utilization on high school students’ understanding of mathematical concepts. The research problem focuses on how the use of AI affects students’ conceptual understanding in mathematics. The method employed is descriptive qualitative research, with data collected through semi-structured interviews, concept-understanding tests, and relevant literature studies. The findings indicate that AI provides positive impacts such as personalized learning, instant feedback, increased motivation, and flexible access to learning resources. Students reported that AI-based systems helped them better comprehend mathematical concepts through adaptive explanations and visualization features. However, the study also identifies negative impacts, including excessive dependence on technology, reduced opportunities for students to learn from mistakes, and a decline in critical thinking skills when solutions are provided instantly by AI. A comparison of learning experiences shows that although AI enhances learning efficiency, conventional methods remain superior in supporting social interaction and group discussion. These findings emphasize that the successful use of AI in mathematics learning heavily depends on balanced implementation strategies and strong pedagogical support from teachers. With proper application, AI can serve as an effective tool to deepen and enrich students’ understanding of mathematical concepts.
subject: Articles
  topic: section
subject: Artificial Intelligence (AI)
  topic: keywords
subject: Conceptual Understanding
  topic: keywords
subject: Digital Learning
  topic: keywords
creator: Muhammad Syarifuddin Rahman
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-12-02
publication date: 2025-12-02
starting page: 108
ending page: 116
doi: 10.61220/

Autokorelasi Spasial Prevalensi Ketidakcukupan Konsumsi Pangan di Pulau Kalimantan Tahun 2024
type: item
description: Food security remains a serious challenge in Indonesia, marked by high disparities among regencies/ cities, including in Kalimantan Island. This study aims to identify disparities and spatial patterns in the prevalence of food consumption inadequacy in Kalimantan Island in 2024, test for spatial autocorrelation, and identify regional clusters based on prevalence characteristics. The methods used were exploratory and inferential spatial analysis, including the measurement of global spatial autocorrelation using Moran's I and the identification of local clusters using LISA (Local Indicators of Spatial Association). The results reveal significant positive spatial autocorrelation (global Moran's I = 0.64), with “High-High” clusters concentrated in West Kalimantan and North Kalimantan, and “Low-Low” clusters in South Kalimantan. These findings imply the necessity for cluster-based and context-specific policy approaches to effectively enhance food security.
subject: Articles
  topic: section
subject: Food Security
  topic: keywords
subject: Moran's I
  topic: keywords
subject: Prevalence of Undernourishment
  topic: keywords
subject: Spatial Autocorrelation
  topic: keywords
creator: Baharuddin
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-12-05
publication date: 2025-12-05
starting page: 141
ending page: 149
doi: 10.61220/

Pengaruh Kemampuan Pemecahan Masalah terhadap Hasil Belajar Matematika
type: item
description: Problem-solving skills is a fundamental cognitive competency in mathematics learning at higher education. This study aims to analyze the effect of problem-solving ability on students' mathematics learning outcomes. The research employed a quantitative approach with ex post facto design involving 29 science education students enrolled in basic mathematics courses. Problem-solving ability was measured using an instrument based on Polya's four indicators (understanding the problem, devising a plan, carrying out the plan, and looking back), while learning outcomes were assessed through achievement tests on basic mathematics content. Data were analyzed using simple linear regression technique. The results showed that problem-solving ability has a significant effect on mathematics learning outcomes with t-value of 4.277 > t-table 2.059 at significance level of 0.05. The regression equation obtained was Y = 3.873 + 1.258X with coefficient of determination (R²) of 0.953, indicating that 95.3% of the variance in mathematics learning outcomes can be explained by problem-solving ability. These findings confirm that problem-solving ability is a primary determinant of students' academic achievement in mathematics and imply the necessity of transforming learning approaches from procedural methods toward problem-solving-based instruction.
subject: Articles
  topic: section
subject: Problem Solving Skills
  topic: keywords
subject: Mathematics Learning Outcomes
  topic: keywords
subject: Polya's Framework
  topic: keywords
creator: Mar Athul Wazithah
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-11-30
publication date: 2025-11-30
starting page: 97
ending page: 107
doi: 10.61220/

Literature Review: Model Matematika Dinamika Penyebaran Penyakit Monkeypox
type: item
description: Monkeypox disease is an infectious disease that can infect susceptible individuals through direct or indirect interaction with infected individuals and animals infected with the Monkeypox virus. mathematical modeling is a research approach that can be used in the control of infectious disease spread by modeling the disease's transmission dynamics. Several studies have been conducted to develop mathematical models that interpret the spread dynamics of Monkeypox disease, based on the assumptions of each respective model. In this study, five research papers were selected based on inclusion criteria that cover the research question, design type, methods, results, and constraints in each study. Furthermore, this study is a literature review conducted to observe the extent to which these mathematical models provide solutions for controlling Monkeypox disease so that it does not become endemic in the future. The results indicate that controlling the spread of the disease can be achieved by applying treatment to the interaction parameters .
subject: Articles
  topic: section
subject: Literature Review
  topic: keywords
subject: Mathematical Modeling
  topic: keywords
subject: Monkeypox
  topic: keywords
creator: Alvioni Bani
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-12-04
publication date: 2025-12-04
starting page: 131
ending page: 140
doi: 10.61220/

Teori Graf: Peta Cerdas untuk Era Society 5.0
type: item
description: The Society 5.0 era is characterized by the integration of advanced technologies such as Artificial Intelligence (AI), the Internet of Things (IoT), and big data, which collectively bring transformative changes to various aspects of human life. In this context, graph theory, as a branch of mathematics that studies network structures and relationships among elements, plays a crucial role in analyzing and optimizing complex systems. This article explores the application of graph theory across multiple domains, including social network analysis, transportation optimization, blockchain development, cybersecurity, and recommendation systems. Employing a Systematic Literature Review (SLR) approach, this study identifies the significant contributions of graph theory in developing innovative solutions that promote sustainability and enhance societal well-being. The findings reveal that graph theory serves as an essential tool in fostering the development of an intelligent, efficient, and human-centered society in the Society 5.0 era.
subject: Articles
  topic: section
subject: Society 5.0
  topic: keywords
subject: Internet of Things
  topic: keywords
subject: Graph Theory
  topic: keywords
subject: Artificial Intelligence
  topic: keywords
creator: Abdurahman Hamid
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-11-17
publication date: 2025-11-17
starting page: 88
ending page: 96
doi: 10.61220/

Augmented Reality dalam Pembelajaran Geometri: Dampak, Tantangan, dan Arah Masa Depan
type: item
description: The development of digital technology in education has opened new opportunities for innovation in mathematics learning, particularly in geometry, which demands high spatial visualization skills. One rapidly developing innovation is Augmented Reality (AR), a technology that interactively combines real-world and virtual elements. This article is a systematic literature review that aims to examine the trends, effectiveness, and challenges of AR integration in geometry learning. Data were obtained from articles indexed in Scopus, Sinta, and Google Scholar, which were then analyzed thematically based on the research focus, empirical results, and their contribution to mathematics learning. The results of the study indicate that the application of AR can improve spatial ability, conceptual understanding, as well as student engagement and motivation in learning. Applications such as GeoGebra AR and 3D AR Escape Room have proven effective in supporting the visualization of geometric concepts and connecting theory to real-world contexts. However, the success of AR implementation is still influenced by factors such as device availability, teacher digital literacy, and pedagogical design that are not yet fully integrated. This study recommends the development of more adaptive and contextual AR-based learning models, as well as further research regarding the long-term impact of AR on higher-order geometric thinking skills.
subject: Articles
  topic: section
subject: Augmented Reality
  topic: keywords
subject: pembelajaran geometri
  topic: keywords
subject: kemampuan spasial
  topic: keywords
subject: GeoGebra AR
  topic: keywords
subject: literatur review
  topic: keywords
creator: Asmaun Asmaun
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-11-17
publication date: 2025-11-17
starting page: 77
ending page: 87
doi: 10.61220/

Peran Pemecahan Masalah dalam Meningkatkan Kemandirian Belajar Peserta Didik melalui Metode Problem Based Learning
type: item
description: Kemampuan pemecahan masalah adalah komponen penting dari proses pembelajaran. Ada sejumlah metode yang dapat digunakan untuk meningkatkan keterampilan pemecahan masalah yang didasarkan pada langkah Polya; salah satunya adalah model problem based learning. Dalam model pembelajaran ini, peserta didik diminta untuk meningkatkan kemampuan memecahkan masalah mereka dengan berpikir kritis, menentukan lokasi masalah, dan menemukan solusinya. Dengan menggunakan langkah-langkah Polya dan model problem based learning (PBL), tujuan penelitian ini adalah untuk mengetahui peran lingkaran pemecahan masalah dalam meningkatkan kemandirian belajar peserta didik. Penelitian ini dilakukan melalui proses sistematis yang dikenal sebagai kajian pustaka. Dalam proses ini, peneliti mengumpulkan, mengevaluasi, dan mensintesis literatur atau penelitian lain yang relevan dengan subjek penelitian. Hasil penelitian menunjukkan bahwa lingkaran pemecahan masalah memainkan peran penting dalam meningkatkan kemandirian belajar peserta didik melalui pendekatan belajar berbasis masalah yang baik.
subject: Articles
  topic: section
subject: Pemecahan Masalah, Kemandirian Belajar, Pembelajaran Berbasis Masalah.
  topic: keywords
creator: Ahyani Mirah Liani
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-06-10
publication date: 2025-06-10
starting page: 70
ending page: 76
doi: 10.61220/

Studi Literatur: Sistematisasi Metode Kuantitatif dalam Pemodelan Tingkat Pengangguran di Indonesia
type: item
description: Studi literatur ini menganalisis secara sistematis 20 penelitian tentang pemodelan Tingkat Pengangguran Terbuka (TPT) di Indonesia untuk mengevaluasi efektivitas berbagai metode kuantitatif. Hasil menunjukkan bahwa regresi data panel (35% studi) unggul dalam analisis faktor makro dengan R² >90%, namun kurang mampu menangkap variasi spasial yang justru efektif diakomodasi oleh pemodelan spasial seperti Geographically Weighted Regression (30% studi), khususnya di wilayah dengan disparitas tinggi seperti Jawa dan Sumatera. Temuan mengidentifikasi konsistensi pengaruh negatif upah minimum (elastisitas -0.32 hingga -0.45) dan pendidikan terhadap TPT, serta signifikansi efek spillover spasial (ρ=0.34–0.52). Studi ini mengungkap kesenjangan penelitian di wilayah timur Indonesia (Sulawesi, Papua) dan kurangnya pemanfaatan model hybrid, sekaligus merekomendasikan pendekatan kebijakan yang spesifik-lokasi dan penguatan sistem data spasial untuk analisis yang lebih komprehensif di masa depan.
subject: Articles
  topic: section
subject: Pengangguran Terbuka
  topic: keywords
subject: Regresi Data Panel
  topic: keywords
subject: Pemodelan Sapsial
  topic: keywords
subject: Kebijakan Ketenagakerjaan
  topic: keywords
subject: Studi Literatur
  topic: keywords
creator: Ayu Rahayu
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-06-10
publication date: 2025-06-10
starting page: 61
ending page: 69
doi: 10.61220/

Pengaruh Pengetahuan Kalkulus Diferensial terhadap Hasil Belajar Mahasiswa Program Studi Sains Aktuaria pada Mata Kuliah Kalkulus Integral
type: item
description: Beberapa hasil penelitian menunjukkan bahwa mahasiswa yang memiliki hasil belajar rendah pada mata kuliah kalkulus diferensial, maka hasil belajarnya pada mata kuliah kalkulus integral. Oleh karena itu, penelitian ini bertujuan untuk mengetahui ada atau tidaknya pengaruh pengetahuan kalkulus diferensial terhadap hasil belajar kalkulus integral, serta besar kontribusi yang diberikan. Populasi dalam penelitian ini yaitu seluruh mahasiswa program studi sains aktuaria semester 2 yang terdiri dari 2 kelas. Teknik penga,bilan sampelnya yaitu purposive sampling dan terpilih kelas B2 dengan jumlah mahasiswa sebanyak 20 orang. Adapun pendekatan yang digunakan dalam penelitian ini yaitu pendekatan kuantitatif dengan metode korelasional. Hasil dalam penelitian ini menunjukkan nilai sig. 0,002 lebih kecil dari 0,05 yang berarti terdapat pengaruh pengetahuan kalkulus diferensial terhadap hasil belajar mahasiswa program studi sains aktuaria pada mata kuliah kalkulus integral. Adapun besar kontribusi pengetahuan kalkulus diferensial terhadap hasil belajar dalam mata kuliah kalkulus integral yaitu sebesai 49,1%.
subject: Articles
  topic: section
subject: Kalkulus Diferensial
  topic: keywords
subject: Hasil Belajar
  topic: keywords
subject: Kalkulus Integral
  topic: keywords
creator: Mar Athul Wazithah
creator: Norma Nasir
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-05-31
publication date: 2025-05-31
starting page: 37
ending page: 42
doi: 10.61220/

Schrödinger-type Equation with the Data in Morrey Spaces
type: item
description: In this paper we investigate the regularity properties of Schrödinger-type equations with the data in certain Morrey spaces. Under some assumptions, we obtain that if the data is not in certain Morrey space, then the solution is also not in certain Morrey spaces. Hence, if the data which acts on the system does not balance local regularity and global decay, then the solution does not either.
subject: Articles
  topic: section
subject: Schrödinger-type equation
  topic: keywords
subject: Data
  topic: keywords
subject: Morrey spaces
  topic: keywords
creator: Yusuf Ramadana
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-06-03
publication date: 2025-06-03
starting page: 54
ending page: 60
doi: 10.61220/

Fungsi Konveks dalam Optimisasi: Struktur, Sifat, dan Generalisasinya
type: item
description: This article aims to provide a comprehensive review of convex functions, generalizations of convexity concepts, and their applications in optimization and mathematical analysis. Although the basic concepts of convex functions are well understood, the understanding and application of advanced concepts such as quasiconvexity, log-convexity, and conjugate functions remain limited in more complex optimization problems, particularly in the context of statistical parameter estimation and machine learning. This study employs a literature review methodology with a descriptive analysis of theories and concepts developed in books and scientific journals, comparing various approaches in optimization and more complex functional structures. The findings highlight that convex functions possess valuable characteristics for optimization, and generalizations of convexity concepts, such as quasiconvexity and log-convexity, can extend the applications of convex functions in more complex analyses, such as in statistical models and machine learning.
subject: Articles
  topic: section
subject: Convex Functions
  topic: keywords
subject: Quasiconvexity
  topic: keywords
subject: Log-Convexity
  topic: keywords
subject: Optimization
  topic: keywords
creator: Syamsuddin Mas'ud
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-06-03
publication date: 2025-06-03
starting page: 45
ending page: 53
doi: 10.61220/

Pengaruh Blended Learning terhadap Pemahaman Materi Matematika di Era Digital
type: item
description: Blended learning merupakan pendekatan pendidikan yang menggabungkan pembelajaran daring dan tatap muka untuk meningkatkan efektivitas dan efisiensi dalam proses belajar mengajar. Penelitian ini bertujuan untuk menganalisis pengaruh blended learning terhadap pemahaman materi matematika di era digital. Dengan menggunakan metode kuantitatif dan survei terhadap siswa sekolah menengah, penelitian ini menemukan bahwa pendekatan blended learning secara signifikan meningkatkan pemahaman siswa terhadap konsep-konsep matematika dibandingkan metode pembelajaran tradisional. Hal ini disebabkan oleh kombinasi fleksibilitas pembelajaran daring dan interaksi langsung selama sesi tatap muka. Kesimpulannya, blended learning dapat menjadi solusi efektif dalam mengatasi tantangan pembelajaran matematika di era digital, dengan tetap mempertahankan kualitas pendidikan.
subject: Articles
  topic: section
subject: Blended Learning,
  topic: keywords
subject: pemahaman materi
  topic: keywords
subject: era digital
  topic: keywords
subject: pembelajaran
  topic: keywords
creator: Abdurahman Hamid Rahman
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-05-21
publication date: 2025-05-21
starting page: 1
ending page: 8
doi: 10.61220/

Analisis Pemahaman Konsep Matematika Siswa dengan Gaya Kognitif Field Dependent pada Materi Segiempat
type: item
description: Students' mathematical concept understanding of quadrilaterals needs to be explored further, especially for students with field dependent cognitive styles. The purpose of this study was to analyze students' field dependent understanding of quadrilaterals. This study was conducted in class VII MTs 1 Makassar City. The subjects in this study were 2 students with selected field dependent cognitive styles. The sampling technique used was purposive sampling by setting criteria for selecting research subjects. Data were collected through written tests and interviews. As well as data analysis techniques used qualitatively by collecting data, presenting data and drawing conclusions. The results of the study on the concept of spatial figures are: field dependent students have not succeeded in achieving the 6 specified indicators, only in spatial figures that are seen as a whole do students understand the concept of 4-sided spatial figures. In this case, students are not yet skilled enough to understand the relationship between these objects, moreover, they cannot use the principle to solve problems
subject: Articles
  topic: section
subject: Mathematical Comprehension
  topic: keywords
subject: Cognitive Style
  topic: keywords
subject: Field Dependent (FD)
  topic: keywords
subject: Quadrilateral
  topic: keywords
creator: Asmaun Asmaun
rights: Copyright (c) 2024 Journal of Mathematics, Statistics and Applications
date: 2025-05-21
publication date: 2025-05-21
starting page: 20
ending page: 36
doi: 10.61220/

Tinjauan Singkat tentang Optimisasi Konveks
type: item
description: Optimisasi konveks merupakan cabang optimisasi matematika yang memiliki peran penting dalam berbagai disiplin ilmu, seperti kecerdasan buatan, ekonomi, dan teknik. Keunggulan utama optimisasi konveks terletak pada jaminan solusi optimal global serta efisiensi metode penyelesaiannya. Artikel ini memberikan tinjauan literatur mengenai konsep dasar optimisasi konveks, metode utama yang digunakan, serta aplikasinya dalam berbagai bidang. Beberapa metode numerik yang banyak digunakan, seperti gradient descent, metode Newton, dan interior-point, dikaji dari segi efektivitas dan efisiensi komputasi. Selain itu, teori dualitas dalam optimisasi konveks dibahas sebagai alat analisis yang membantu penyederhanaan penyelesaian masalah. Dibandingkan dengan metode klasik seperti Simplex dan metode Lagrange, optimisasi konveks menawarkan stabilitas dan efisiensi yang lebih baik, terutama dalam menangani masalah skala besar. Hasil tinjauan menunjukkan bahwa pengembangan metode optimisasi konveks semakin berorientasi pada integrasi dengan machine learning dan pemrosesan big data. Studi lanjutan direkomendasikan untuk mengeksplorasi pendekatan hibrida yang mengombinasikan optimisasi konveks dengan teknik lain guna meningkatkan efektivitas dalam aplikasi nyata.
subject: Articles
  topic: section
subject: Optimisasi Konveks
  topic: keywords
subject: Metode Numerik
  topic: keywords
subject: Dualitas
  topic: keywords
subject: Efisiensi Komputasi
  topic: keywords
subject: Aplikasi
  topic: keywords
creator: Syamsuddin Mas'ud
rights: Copyright (c) 2025 Journal of Mathematics, Statistics and Applications
date: 2025-05-21
publication date: 2025-05-21
starting page: 9
ending page: 19
doi: 10.61220/

Penerapan Model Markowitz dalam Pembentukan Portofolio Optimal pada Saham Teraktif di BEI
type: item
description: Untuk meminimalkan risiko, investor harus menyusun portofolio yang mencakup berbagai jenis saham. Tujuan dari penelitian ini untuk membentuk portofolio optimal dengan menggunakan model Markowitz sehingga dapat dijadikan dasar pertimbangan investasi pada saham teraktif di Bursa Efek Indonesia. Objek penelitian ini adalah data harga saham penutupan mulai bulan Februari hingga Juli 2024. Sampel yang digunakan dalam penelitian ini sebanyak 10 saham teraktif di Bursa Efek Indonesia pada tanggal 1 Februari 2024 dan membentuk 1 kombinasi portofolio. Hasil penelitian menunjukkan terdapat 1 portofolio optimal kombinasi saham PT. Bank Central Asia Tbk dengan PT. Amman Mineral Internasional Tbk. Dengan menggunakan model markowitz 1 portofolio yang terbentuk termasuk portofolio optimal diperoleh tingkat keuntungan portofolio saham tertinggi dengan tingkat proporsi dana yang diinvestasikan sama (50% : 50%) sebesar 4,2% sedangkan keuntungan portofolio saham dengan proporsi dana yang diinvestasikan beda (40% : 60%) hanya sebesar 3,4%. Kemudian risiko dari portofolio dana yang diinvestasikan sama (50% : 50%) menunjukkan risiko atau variasi yang tinggi sebesar 2,8% dibandingkan dengan portofolio yang proporsinya beda (40% : 60%) menunjukkan risiko atau variasi yang lebih rendah sebesar 2,2%. Perbedaan yang dihasilkan dari tingkat keuntungan dan risiko portofolio optimal tersebut maka keputusan yang diambil tergantung dari investor. Selain itu koefesien korelasi portofolio saham yang diperoleh memiliki hubungan negatif moderat antara kinerja atau pergerakan harga saham dalam portofolio sehingga dapat memberikan keuntungan dalam hal diversifikasi risiko.
subject: Articles
  topic: section
subject: Model Markowitz
  topic: keywords
subject: Saham
  topic: keywords
subject: Portofolio Optimal
  topic: keywords
creator: Khaerun Nisa’a
creator: Nurul Alfia Salzabila
creator: A. Ainun Fitrah Amila
rights: Copyright (c) 2024 Lontara Journal of Mathematics, Statistics and Applications
date: 2024-11-16
publication date: 2024-11-16
starting page: 7
ending page: 17
doi: 10.61220/jmsa.v1i1.20241.513

Perhitungan Expected Return dan Risiko untuk Menentukan Portofolio Efisien pada Perusahaan Keuangan di Bursa Efek Indonesia Menggunakan Model Markowitz
type: item
description: Investasi menjadi salah satu alternatif investor untuk mengalokasikan dananya, salah satu instrumen yang banyak digemari oleh investor adalah saham. Agar dapat memperoleh return yang baik serta risiko yang dapat diminimalisir maka diperlukan beberapa hal yang harus diperhitungkan oleh investor agar dapat memperoleh hasil investasi yang baik. Pembentukan portofolio saham dapat menjadi ukuran bagi investor agar dapat memperoleh hasil yang baik dalam berinvestasi. Tujuan dari penelitian ini adalah menghitung expected return portofolio dan risiko portofolio untuk menentukan portofolio efisien pada perusahaan keuangan yang terdaftar di Bursa Efek Indonesia. Dari hasil perhitungan yang dilakukan maka diperoleh portofolio efisien dari tiga kombinasi portofolio yang terbentuk yaitu expected return dan risiko portofolio yang dimilki dengan proporsi dana beda (40% : 60%) pada portofolio 1 adalah sebesar 0.00032 atau 0.032% dan risiko portofolio sebesar 0.059 atau 5.9%. Portofolio 2 memiliki nilai expected return portofolio sebesar 0.0128 atau 1.28% dan risiko portofolio sebesar 0.0504 atau 5.04%, portofolio 3 memiliki expected return sebesar 0.0057 atau 0.57% dan risiko portofolio sebesar 0.0667 atau 6.67%. Berdasarkan perhitungan yang dilakukan diperoleh portofolio yang termasuk portofolio efisien adalah portofolio 2 dengan expected return portofolio tertinggi namun dengan risiko yang besar pula, seorang investor risk seeker menyukai jenis investasi ini, risk seeker menyukai jenis investasi dengan risiko yang tinggi.
subject: Articles
  topic: section
subject: Expected Return
  topic: keywords
subject: Risiko Portofolio
  topic: keywords
subject: Markowitz
  topic: keywords
creator: Andi Ayuninsih
creator: Fajrul Akbar
creator: Astrid Indri Astuti
creator: A. Naila Anwar
rights: Copyright (c) 2024 Lontara Journal of Mathematics, Statistics and Applications
date: 2024-11-16
publication date: 2024-11-16
starting page: 18
ending page: 29
doi: 10.61220/jmsa.v1i1.20241.519

Penerapan Model Markowitz dalam Menentukan Portofolio Optimal di Pasar Saham Syariah
type: item
description: Penelitian ini bertujuan untuk mendapatkan portofolio optimal pada saham-saham syariah yang terdaftar di pasar saham syariah dengan menggunakan model Markowitz. Data yang digunakan dalam penelitian ini adalah data harga penutupan bulanan saham syariah periode Agustus 2023 hingga Juli 2024, yang diperoleh dari situs www.idxislamic.co.id dan www.yahoofinance.com. Penelitian ini menggunakan metode purposive sampling dengan memilih tiga saham syariah dengan kapitalisasi pasar terbesar, yaitu PT Amman Mineral Internasional Tbk (AMMN.JK), PT Bayan Resource Tbk (BYAN.JK), dan PT Chandra Asri Pacific Tbk (TPIA.JK). Analisis dilakukan dengan menghitung return, expected return, varians, dan deviasi standar untuk masing-masing saham, serta membentuk dan mengevaluasi portofolio optimal. Hasil penelitian menunjukkan bahwa saham PT Chandra Asri Pacific Tbk memiliki return aktual tertinggi sebesar 182.79% dan expected return sebesar 16.62%, sedangkan saham PT Bayan Resources Tbk menunjukkan return aktual negatif sebesar -0.76%. Portofolio optimal yang diperoleh memiliki expected return sebesar 13.62% dan risiko sebesar 13.61% yaitu portofolio 1 yang merupakan kombinasi saham antara PT Amman Mineral Internasional Tbk. dan PT Chandra Asri Pacific Tbk. Penelitian ini mengindikasikan bahwa penerapan model Markowitz dapat membantu investor dalam membentuk portofolio yang optimal di pasar saham syariah, sehingga dapat memaksimalkan keuntungan dan meminimalkan risiko.
subject: Articles
  topic: section
subject: Model Markowitz
  topic: keywords
subject: Portofolio Optimal
  topic: keywords
creator: novia tandirerung
creator: Suci Amalia
creator: Ayu Rezki
creator: Fajar Hidayat
rights: Copyright (c) 2024 Lontara Journal of Mathematics, Statistics and Applications
date: 2024-11-19
publication date: 2024-11-19
starting page: 30
ending page: 41
doi: 10.61220/jmsa.v1i1.20241.514

Pembentukan Portofolio Pada Saham Industri Batu Bara BEI Menggunakan Model Markowitz
type: item
description: Penelitian ini bertujuan untuk membentuk portofolio optimal dari saham sub sektor industri pertambangan batu bara menggunakan model Markowitz. Kandidat awal portofollio sebanyak 10 saham yang akan dilakukan perhitungan return untuk masing-masing saham sub sektor pertambangan pada periode juli 2023-juni 2024. Setelah dilakukan perhitungan return maka saham SGER dan FIRE dengan rata-rata return tertinggi akan menjadi kandidat portofolio. Dengan menggunakan model Markowitz, untuk pembagian proporsi dana yang sama yaitu 50% untuk saham SGER dan 50% untuk saham FIRE, didapatkan hasil bahwa return ekspektasi sebesar 14% dan risiko portofolio sebesar 4% untuk setiap bulannya. Untuk pembagian proporsi dana yang berbeda yaitu 40% untuk saham SGER dan 60% untuk saham FIRE didapatkan hasil bahwa return ekspektasi sebesar 13% dan risiko porofolio 4% untuk setiap bulannya.
subject: Articles
  topic: section
subject: Portofolio Optimal
  topic: keywords
subject: Pertangan Batu Bara
  topic: keywords
subject: Model Markowitz
  topic: keywords
creator: Subhan Khalif Azis Subhan
creator: Putri Nursyahrana
creator: Sitti Husni Alfiah
rights: Copyright (c) 2024 Lontara Journal of Mathematics, Statistics and Applications
date: 2024-11-21
publication date: 2024-11-21
starting page: 42
ending page: 51
doi: 10.61220/jmsa.v1i1.20241.511

Optimalisasi Portofolio Saham dengan Model Markowitz pada Perusahaan Manufaktur Di Bursa Efek Indonesia Periode Agustus 2023-Juli 2024
type: item
description: Investasi adalah komitmen untuk mengalokasikan sejumlah dana denganharapan mendapatkan keuntungan dan pengembalian yang positif. Tujuan penelitian ini adalah untuk mengetahui dan menganalisis optimalisasiportofolio saham dengan model morkowitz. Selain memperoleh keuntungan ada risiko yang mungkin bisa terjadi, untuk memperkecil risiko investor memilih serta melakukan portofolio optimal.Model Markowitz hal ini tumembantu investor menentukan saham-saham yang menjadi anggota portofolio optimal. Minimisasi risiko dan maksimalisasi return menjadi hal yang mendesak, dan nilai ekspektasi return menjadidasar perhitungan. Tujuan penelitian ini adalah untuk mengetahui dan menganalisis optimalisasi portofolio saham dengan model morkowitz. Hasil penelitian menunjukkan dari sepuluh sampel saham, terpilih dua saham yang berhasil menjadi kandidat portofolio optimal bentukan model Markowitz. Dua buah saham dengan proporsi alokasi dana berbeda yaitu sahamBRPT(40%) dan SRSN (60%) menghasilkan expected return sebesar 2.02% dan dengan tingkat risiko sebesar 9.22%.
subject: Articles
  topic: section
subject: Investasi
  topic: keywords
subject: Manufaktur
  topic: keywords
subject: Optimalisasi Portofolio Saham
  topic: keywords
subject: Model Markowitz
  topic: keywords
creator: Nismawati Bahar
creator: Putri Pratama Octavia
creator: Reski Amalyah Khasanah
creator: Riska Amaliah.M
rights: Copyright (c) 2024 Lontara Journal of Mathematics, Statistics and Applications
date: 2024-11-21
publication date: 2024-11-21
starting page: 52
ending page: 59
doi: 10.61220/jmsa.v1i1.20241.512

Aplikasi Algoritma Semut Pada Penentuan Rute Terpendek Sistem Pengangkutan Sampah Kota Makassar
type: item
description: Waste management is one of the problems faced by the City of Makassar, so an effective and efficient system is needed for more regular waste transportation at each TPA. This study aims to optimize the waste transportation system in Makassar City by determining the shortest route. The research method was carried out by taking 8 TPA points and determining the optimal shortest route using the ant algorithm. The ant algorithm is an algorithm adopted from the behavior of ant colonies. The application of the ant algorithm shows the result in the form of the optimal shortest route with a route length of 40.2 km with the route V5→V1→V4→V7→V6→V2→V8→V5. The calculation is based on the use of one starting point, where the starting point is the center of route determination to various landfills.
subject: Articles
  topic: section
subject: Rute Terpendek
  topic: keywords
subject: Algoritma Semut
  topic: keywords
subject: TPA
  topic: keywords
creator: Nur Ahniyanti Rasyid
creator: Dhian Eka Wijaya
rights: Copyright (c) 2023 Lontara Journal of Mathematics, Statistics and Applications
date: 2023-08-29
publication date: 2023-08-29
starting page: 1
ending page: 6
doi: 10.61220/jmsa.v1i1.20241.58