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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 139 Documents
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Perencanaan Pembelajaran Matematika di SMK Negeri 6 Padang (Modul Ajar, Assesment (Penilaian), Program Pengayaan, Remedial, Olimpiade, LKPD, Buku Pegangan Guru dan Buku Pegangan Siswa Astri Sukriani Piliang; Nita Putri Utami
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 3 (2025): 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.v3i3.635

Abstract

This study aims to analyze and describe mathematics learning planning at SMK Negeri 6 Padang, specifically including the preparation of Teaching Modules, implementation of assessments, and enrichment and remedial programs. Furthermore, this study also examines the role and implementation of mathematics Olympiad preparation, the use of Student Worksheets (LKPD), and the availability and utilization of Teacher's Handbooks and Student Handbooks. A qualitative approach with a case study method was used in this study. Data were collected through observation, in-depth interviews with mathematics teachers, and analysis of documents related to learning planning. The results of the study indicate that mathematics learning planning at SMK Negeri 6 Padang has referred to the applicable curriculum. The Teaching Modules are systematically arranged covering learning objectives, materials, activities, and evaluations. Assessments are carried out formatively and summatively, using various techniques to measure student understanding. In addition, the school also implements remedial programs for students who have not achieved learning completion and enrichment programs for students who have mastered the material, including preparation for the Olympiad. LKPD has been shown to facilitate students' understanding and active participation, while the Teacher's Handbook and Student Handbook are important resources. However, several challenges were found in the implementation, such as time constraints in compiling varied teaching modules and optimizing the use of assessment results for continuous learning improvements. So it ca be concluded that learning planning is effective, namely . Therefore, it is recomended that further training is needed to improve the quality of independent curriculum-based learning planning
Analisis Hubungan Surat Masuk terhadap Penerbitan Surat Keluar (SPT dan SPPD Karyawan) di Kantor Bupati Langkat Menggunakan Metode Regresi Linear Erika Handayani Br Siahaan; Fadila Inka Syahfitri; Rico Pradana Dita; Rizq Alwi Marpaung; Hendra Cipta
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 3 (2025): 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.v3i3.665

Abstract

This study aims to determine the relationship between the number of incoming letters and outgoing letters in the form of Assignment Letters (SPT) and Official Travel Orders (SPPD). The research employs a quantitative approach using simple linear regression analysis, with data collected through direct observation and official document records. The findings indicate a positive relationship between incoming and outgoing letters; however, the relationship is not statistically significant (p-value = 0.068). The coefficient of determination (R²) is 0.358, meaning that 35.8% of the variation in outgoing letters is influenced by incoming letters, while the rest is affected by other factors. These results underscore the need for stronger administrative management systems to improve bureaucratic efficiency and accountability.
Using Virtual Reality and Augmented Reality to Learning Mathematics Julia Nurlita; Salwa Sabria Ramadhani; Wahyunengsih Wahyunengsih
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 3 (2025): 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.v3i3.670

Abstract

The purpose of this study was to develop and test a mathematics learning tool using Virtual Reality (VR) technology on the Android platform. The material focused on is flat-sided spatial objects for junior high school students. The development stages were carried out through various steps, from planning to testing on students. The findings showed that the media was considered appropriate by experts, easily accessible to students, and contributed to improving learning outcomes. In addition, students appeared more enthusiastic and excited during the learning process. A review of two other articles confirmed that VR and AR-based media were able to improve understanding and make learning more enjoyable. This tool could be an interesting alternative for teaching mathematics.
Analisis Pemahaman Konsep Matematika Siswa Smait Nurul Fajri dalam Menyelesaikan Soal Higher Order Thinking Skills (Hots) Nurul Aisyah; Supardi Uki Sajiman
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 4 (2025): Agustus : 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.v3i4.714

Abstract

This study aims to describe the understanding of high school students in solving high, medium, and low category HOTS (Higher Order Thinking Skills) problems and to explore the students' responses in solving problems related to the material of SPLTV (System of Linear Equations with Three Variables). This research is qualitative in nature, using a descriptive method. The subject selection technique used purposive sampling, involving three students from class X IPA/IPS SMAIT Nurul Fajri, with a total of 19 students. The data collection techniques included written tests on mathematical concept understanding using HOTS, interviews, and documentation. Based on the research results, it was found that the students' understanding of mathematical concepts in solving HOTS problems varied. The subject NF-17, with high ability, was able to answer well, including restating the concepts studied in problems 1, 2, and 4, classifying objects based on concepts, applying concepts algorithmically, relating various mathematical concepts internally or externally, providing examples or counterexamples, and presenting concepts in various representations in problems 1, 3, and 4. The subject NF-18, with medium ability, showed more limited results. Although able to restate concepts in problem 4, this subject could only classify objects based on concepts and apply concepts algorithmically in problems 1 and 4. This subject could only provide examples or counterexamples in problem 1. The subject NF-10, with low ability, was only able to restate concepts studied in problem 1 and did not show more in-depth understanding in other problems. These findings indicate variations in students' understanding of mathematical concepts in the SPLTV material.
Bagaimana Perbedaan Kemampuan Literasi Matematika Siswa SMK dengan Tingkat Literasi Digital Tinggi dan Rendah dalam Menyelesaikan Soal Statistika Berbantuan Microsoft Excel Dinda Masyita Putri Kurnia Dimmaja; Deka Anjariyah; Feriyanto Feriyanto
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 4 (2025): Agustus : 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.v3i4.746

Abstract

This study aims to describe the mathematical literacy skills of vocational high school students in solving statistics problems with the help of Microsoft Excel based on digital literacy levels, which are grouped into high, medium, and low. The background of this study is based on the importance of mathematical literacy in dealing with everyday problems and the demands of the world of work, as well as the increasing need for digital literacy mastery in the information technology era. Both are essential competencies that support each other, especially in technology-based mathematics learning. The research approach used is descriptive qualitative with a purposive sampling technique, where the selection of subjects is based on the results of the digital literacy questionnaire, equivalence of mathematics scores, and adequate communication skills to support the interview process. The research instruments include a digital literacy questionnaire, a mathematical literacy test in the form of descriptive questions completed using Microsoft Excel, and interview guidelines that have been validated by experts. The data collection procedure was carried out through tests and in-depth interviews, while data analysis included the stages of data reduction, data presentation, and drawing conclusions. The results of the study indicate differences in students' mathematical literacy skills based on their digital literacy levels. Students with high digital literacy are able to master mathematical literacy indicators well, including communication, mathematization, problem-solving strategies, and reasoning and argumentation. They can optimally utilize Microsoft Excel features to present data, perform calculations, and draw logical conclusions. Students with moderate digital literacy demonstrate fairly good mastery, but still experience difficulties in aspects of problem-solving strategies and in-depth reasoning. Based on these findings, it can be concluded that digital literacy plays a crucial role in supporting students' mathematical literacy abilities.  
Implementasi Program Linear pada Efisiensi Penugasan Jam Kerja Divisi Pengadaan PT. Pelindo Multi Terminal Dengan Metode Hungarian Rahma Aulia; Sabrina Nasution; Rina Filia Sari; Muliawaty, Muliawaty
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 4 (2025): Agustus : 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.v3i4.749

Abstract

This research was conducted with the aim of optimizing the assignment of working hours in the Procurement Division of PT. Pelindo Multi Terminal through the application of the Hungarian method. The fundamental problem faced is the imbalance between the number of permanent workers and the high workload that must be completed, thus creating a risk of inefficiency in the operational process. To address this problem, a quantitative approach was used with linear programming modeling techniques designed to produce a more systematic and measurable assignment allocation. Through the analysis conducted, an optimal solution was obtained regarding the distribution of working hours, where the total working time can be reduced to 10,120 minutes per month, lower than the previously set maximum limit of 10,560 minutes per month. These results indicate that the application of the Hungarian method is not only able to reduce excessive workloads on some employees, but also ensures a more proportional distribution of assignments among all available workers. In addition, this method can increase operational effectiveness because each worker receives a load according to their capacity, so that the risk of fatigue or decreased performance can be minimized. The findings of this study confirm that the Hungarian method is an alternative work scheduling strategy that is efficient to be applied in industrial environments with high task complexity. Proper implementation can also support the achievement of overall company productivity, improve the quality of human resource management, and strengthen the company's competitiveness in facing future operational challenges.
Analisis Kesulitan Belajar dalam Menyelesaikan Masalah Teorema Phytagoras Kelas VIII Ditinjau dari Gaya Belajar Luluk Ida Rahayu; Anwas Mashuri; Budi Sasomo
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 5 (2025): Oktober : 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.v3i5.769

Abstract

In teaching mathematics subjects, a teacher must be competent in designing innovative learning materials so that they can develop students' potential, which is expected to affect their learning outcomes and which is one of the influencing factors in student success in mathematics lessons is learning style. This study applies a descriptive method. The purpose is to describe the form of learning difficulties experienced by grade VIII students at MTs SA Al Murtadho Kedungwaru in learning mathematics on phytagoras theorem material referring to aspects of each student's learning style. In determining a subject in a study, it is carried out using the purpose sampling technique. There are three learning styles that will be studied further in this study, namely visual, auditorial, and kinesthetic learning styles. The research subjects of six students were taken representatives from a total of 34 students, in each class two representatives will be taken for those who have a visual learning style, two students also with an auditorial learning style, and two more students with a kinesthetic learning style. The techniques used to obtain the necessary data will be distributed questionnaires, test questions, interviews with students, and documentary evidence. This study applies two ways by comparing data from observation results with interview results and will also compare a person's assessment with various points of view with other people's perspectives. The results found in the study stated that there are difficulties in students including difficulties in understanding concepts, problems, and answering questions related to the Pythagorean theorem. So teachers need to find a learning style that is suitable for each student in order to help students understand the material so that students can solve the questions given appropriately.
Implementasi Konsep Analisis Real dalam Penyelesaian Masalah Matematika Elis Setiawati; Windri Gusnita; Annisah Kurniati; Suci Yuniati; Depriwana Rahmi
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 5 (2025): Oktober : 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.v3i5.774

Abstract

Real analysis is one of the main branches of mathematics that serves as a fundamental foundation for the development of science and technology. This study emphasizes the understanding of basic concepts such as real numbers, limits, continuity, the principle of mathematical induction, as well as deductive and axiomatic approaches as a strong framework for mathematical proofs. This research employs the Systematic Literature Review (SLR) method by examining articles and journals related to both the theoretical aspects and the implementation of real analysis in solving mathematical problems. The findings indicate that the application of Polya’s method, visualization through demonstration, and the use of modern technology such as augmented reality (AR) can enhance the effectiveness of real analysis learning. These approaches help students connect abstract concepts with real applications, thereby strengthening logical, systematic, critical, and rigorous thinking skills. However, several learning difficulties are also identified, including the complexity of the material, weak learning habits, social influences, and inappropriate teaching strategies. Therefore, more applicative, interactive, and contextual learning strategies are needed to support the achievement of learning objectives. The conclusion of this review highlights that the integration of theoretical understanding, problem-solving methods, and innovative technology is a strategic step to improve students’ thinking quality in real analysis courses. Thus, real analysis is not only positioned as a theoretical subject but also as a medium for developing problem-solving abilities and higher-order thinking skills that are relevant to both academic needs and real-world applications.
E-LKPD Bangun Datar pada Kolase Rumah Joglo Berbasis Etnomatematika Kelas IV Sekolah Dasar Nurinawati Nurinawati; Insanul Qisti Barriyah; Moh Rusnoto Susanto
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 5 (2025): Oktober : 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.v3i5.783

Abstract

The background of this research is the richness of Indonesian culture that is very diverse from Sabang to Merauke. Education and culture are now hot topics. Mathematics, as an important subject, is often considered difficult and boring due to monotonous learning and lack of motivation. Therefore, it needs improvement by connecting mathematical materials with local culture to make it more relevant in everyday life. The purpose of this research is to determine the effectiveness of E-LKPD flat shapes on the collage of Joglo traditional houses based on ethnomathematics in the mathematics learning process of flat shapes material which is expected to enable students to love their ancestral culture. The research method used is descriptive qualitative with the type of design research. Design research consists of 3 stages, namely experimental preparation, experimental implementation, and retrospective analysis. Data collection techniques with observation, questionnaires, and documentation. The results of the study are the implementation of E-LKPD collage based on ethnomathematics of Joglo traditional houses on flat shapes material runs effectively and can foster a sense of love for ancestral culture. This conclusion was obtained based on the suitability between ALT and HLT. Furthermore, the results of this study can be the basis for the development of the next E-LKPD by utilizing other cultures that are close to the daily lives of student.
Kemampuan Berpikir Kritis Matematis Peserta Didik SMP Ditinjau dari Gaya Belajar Ainun Fatikha Putri; Irwani Zawawi; Sarwo Edy
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 5 (2025): Oktober : 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.v3i5.787

Abstract

This study aims to describe students’ mathematical critical thinking skills in terms of their learning styles based on the VARK model (Visual, Auditory, Reading/Writing, and Kinesthetic). The research employed a descriptive qualitative approach involving four seventh-grade students of SMP Negeri 9 Gresik, each representing one type of learning style. Data were collected through a learning style questionnaire, a mathematical critical thinking test based on Facione’s indicators, and in-depth interviews to strengthen the analysis. The results revealed that each learning style demonstrates distinct characteristics of critical thinking. Visual learners excelled in interpretation and self-regulation, auditory learners performed well in evaluation and verbal explanation, reading/writing learners showed strength in analysis and written reasoning, while kinesthetic learners were better in concrete activities but weaker in evaluation and inference. Overall, interpretation and analysis indicators were more dominant than evaluation and inference. These findings highlight the importance of implementing differentiated instruction aligned with students’ learning styles to foster optimal and comprehensive development of mathematical critical thinking skills.

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