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Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Published by Asosiasi Riset Ilmu Matematika dan Sains Indonesia
ISSN : 30326389     EISSN : 30327113     DOI : 10.62383
Core Subject : Science, Education,
Astronomy Mathematics
Jurnal ini adalah Ilmiah Matematika, Kebumian dan Angkasa yang bersifat peer-review dan terbuka. Bidang kajian dalam jurnal ini termasuk sub rumpun Ilmu Matematika, Kebumian dan Angkasa
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 146 Documents
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Penentuan Kepadatan Tebar Lele yang Optimal Menggunakan Metode Integral Lipat Tiga Alvi Sahrin Nasution; Bobby Putra Delon Togatorop; Kenjo Oktaviano Damanik; Lestari Novianti Sinurat; Monica Triyuni Sinaga; Widya Kartini Pangaribuan
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 6 (2025): Desember : Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i6.883

Abstract

This study aims to determine the ideal stocking density of catfish using the triple integral method. This mathematical method is applied to accurately calculate the volume of the cultivation pond and analyze the stocking amount and biomass projection at three different density levels, namely 50, 75, and 100 fish/m³. The calculation of the volume of the pond measuring 27 m x 11 m x 1.5 m produces a value of 445.5 m³. Based on the integral calculation, the optimal stocking amount is 22,275 fish, 33,413 fish, and 44,550 fish for each density, with the final biomass projection reaching 300.7 kg, 451.1 kg, and 600.4 kg, respectively. The analysis shows that the density of 100 fish/m³ produces the highest biomass, but its application must consider technical factors such as water quality, oxygen availability, and food competition. This method provides a solid and practical mathematical foundation for more efficient, scalable, and sustainable aquaculture planning.
Penerapan Integral Lipat Dua dalam Prediksi Jumlah Penduduk di Kota Tebing Tinggi Tahun 2030 : Visualisasi 3D Menggunakan Geogebra Petra Putri Sarinah Pandiangan; Alvi Sahrin Nasution; Grace Amelia Purba; Rizka Nabila Damanik; Endang Lyfia Saragih; Farel Al Azmi
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 6 (2025): Desember : Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i6.884

Abstract

Tebing Tinggi City, which has a strategic position in North Sumatra, is experiencing changes in population growth that need to be predicted for development planning purposes. The purpose of this study is to forecast the population of Tebing Tinggi City in 2030 by applying the Double Integral method, and visualize the results in 3D using GeoGebra. The method used is a quantitative approach with a case study, where the population density function is created based on secondary data from the Central Statistics Agency (BPS) of Tebing Tinggi City for the period 2010 to 2024. Data on area and population per sub-district are used to develop a population growth model calculated using the double integral. The forecast results show that the population of Tebing Tinggi City is estimated to reach 26,038 people in 2030, with varying growth rates in each sub-district. 3D visualization through GeoGebra is able to depict the distribution of population density in an interactive geometric form, thus facilitating the understanding of complex mathematical concepts. The conclusion of this study is that double integrals can be applied effectively to predict population size, and GeoGebra serves as a very useful visual aid in presenting the results of multivariable calculus analysis.
Meningkatkan Hasil Belajar Siswa Kelas VII SMP Darul Ulum 5 Rebalas Menggunakan Etnomatematika dengan Bahasa Madura Dewi Ainiyah; Andika Setyo B.L; Ani Afifah
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 6 (2025): Desember : Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i6.900

Abstract

This research aims to improve the mathematics learning outcomes of Grade VII B students at SMP Darul Ulum 5 Rebalas through the implementation of Madurese language-based ethnomathematics. The study is motivated by the students' difficulties in understanding mathematical concepts delivered in formal Indonesian, as their daily communication relies on the specific Madurese dialect of Rebalas Village. This study employs the Classroom Action Research (CAR) method using the Kemmis and McTaggart model, conducted in two cycles. Each cycle consists of planning, action, observation, and reflection stages. The subjects of this research were 28 students from class VII B. The research instruments included test instruments in the form of group Student Worksheets (LKPD) and observation sheets for both teacher and student activities. The material focused on the topic of Lines and Angles. The results indicated an improvement in student learning outcomes from Cycle I to Cycle II. In Cycle I, the average group score was 80.2, which increased to 88 in Cycle II. Observations of student activities also showed a shift from passive participation in Cycle I to active and enthusiastic engagement in Cycle II. Furthermore, teacher observations showed significant improvement; initial issues regarding time management and excessive workloads were resolved, resulting in more enthusiastic and punctual teaching delivery. These findings demonstrate that the use of Madurese-based ethnomathematics helps students grasp mathematical terms more easily, increases discussion participation, and creates a more comfortable and interactive classroom atmosphere, thereby leading to improved learning outcomes.
Analisis Kesulitan Siswa Kelas XII dalam Menyelesaikan Soal Cerita Materi Permutasi dan Kombinasi Levina Lidya Maheswari; Tatang Herman; Aan Hasanah
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 6 (2025): Desember : Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i6.916

Abstract

Problem solving in permutation and combination requires the ability to understand context, choose strategies, and perform calculation procedures accurately. Based on the analysis of students' answers, it was found that difficulties arose consistently at each stage of problem solving according to Polya, namely the problem understanding stage, the planning stage, the plan implementation stage, and the rechecking stage. In general, students' weaknesses are not only related to their understanding of permutation and combination concepts, but also to their inability to apply problem-solving steps systematically. The results of the study indicate the need for a learning approach that not only focuses on mastering formulas, but also strengthens problem literacy, the ability to identify relevant information, and the selection of solution strategies appropriate to the characteristics of the problem. In addition, the habit of reflection through reviewing the process and results of the solution needs to be developed consistently so that students are able to recognize mistakes and improve their accuracy in solving permutation and combination word problems in a more accurate, logical, and structured manner.
Identifikasi Sektor Basis dan Non Basis Berdasarkan Data PDRB Kabupaten Karo Menggunakan Metode Location Quotient (LQ) pada Badan Pusat Statistik Kabupaten Karo Ade Putri Oktavia; Dwi Ananta Br Sembiring; Aishikin Jovanka; Fadillah Nay Marbintang Hrp; Hendra Cipta
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 4 No. 3 (2026): Juni: Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v4i3.965

Abstract

This study is motivated by the importance of identifying the economic structure and leading sectors of a region as a basis for regional economic development planning. Karo Regency, as one of the regions in North Sumatra Province, has economic potential that needs to be analyzed to determine sectors with comparative advantages. The purpose of this study is to identify base and non-base sectors in Karo Regency. The method used in this research is the Location Quotient (LQ) method with a descriptive quantitative approach. The data used are Gross Regional Domestic Product (GRDP) at constant prices by sector for the period 2021–2023 obtained from official publications of Badan Pusat Statistik Kabupaten Karo and Badan Pusat Statistik. The results show that the agriculture, forestry, and fisheries sector is a base sector with a comparative advantage in Karo Regency, indicated by an LQ value greater than one. Meanwhile, most other sectors are classified as non-base sectors with relatively smaller contributions compared to the provincial level. These findings indicate that the economic structure of Karo Regency is still dominated by the primary sector. The implication of this study is the need for development policies that focus on strengthening leading sectors while also promoting the development of non-base sectors to achieve a more balanced and sustainable economic structure.
Analisis Hambatan terhadap Kemampuan Berhitung Siswa Kelas 1 Madrasah Ibtidaiyah Dwi Muazidah; Kholif Fatmawati; Hanif Islahul Adzim; Dian Mustika Anggraini
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 4 No. 3 (2026): Juni: Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v4i3.989

Abstract

Early numeracy skills are a fundamental component of children’s cognitive development and serve as an important foundation for success in mathematics learning at the elementary level. Difficulties in mastering basic numeracy concepts can affect students’ academic achievement in subsequent learning stages. This study aims to identify the forms of early numeracy difficulties, examine the factors contributing to these difficulties, and describe the strategies used to overcome them among first-grade students at MI Mashlakul Huda Jekulo, Kudus. The study employed a descriptive qualitative approach with a case study design. Data were collected from 20 students, the classroom teacher, and parents through observation, interviews, and documentation. To strengthen the findings, frequency analysis was conducted using SPSS. The results revealed three major types of early numeracy difficulties experienced by students, namely symbolic difficulties (45%), procedural difficulties (35%), and conceptual difficulties (20%). These difficulties were influenced by both internal and external factors. Internal factors included limited ability to recognize and remember number symbols, low concentration, and varying learning readiness. External factors included limited parental assistance during learning activities, inadequate learning support at home, and sociolinguistic barriers that affected students’ understanding of mathematical concepts. To address these challenges, teachers implemented several strategies, including the use of concrete learning media, a bilingual instructional approach, and interactive homework assignments involving parental participation. The study concludes that improving early numeracy skills requires collaboration between schools and families to create a supportive learning environment and enhance students’ mathematical development.  

Page 15 of 15 | Total Record : 146

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