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Aljabar: Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Published by Asosiasi Riset Ilmu Matematika dan Sains Indonesia
ISSN : 30896134     EISSN : 30896126     DOI : 10.62383
Core Subject : Education,
Education Mathematics
Focus and Scope Aljabar: Jurnal Ilmuan Pendidikan, Matematika, dan Kebumian adalah jurnal ilmiah yang berfokus pada publikasi artikel penelitian, kajian teoretis, dan studi empiris di bidang pendidikan, matematika, dan ilmu kebumian. Jurnal ini menjadi platform bagi akademisi, peneliti, dan praktisi untuk berbagi ide, inovasi, dan temuan penelitian yang berkontribusi pada perkembangan ilmu pengetahuan dan pendidikan di Indonesia. Ruang Lingkup Pendidikan Matematika Bidang ini mencakup penelitian yang berfokus pada metode pengajaran matematika dan penerapannya dalam pendidikan. Topiknya meliputi: Teori dan metode pembelajaran matematika Pengembangan kurikulum matematika untuk berbagai jenjang pendidikan Pendidikan matematika berbasis teknologi Pengukuran dan evaluasi hasil belajar matematika Pendidikan matematika inklusif untuk siswa berkebutuhan khusus Pengajaran matematika di tingkat dasar, menengah, dan tinggi Ruang Lingkup Matematika Murni dan Terapan Bagian ini berfokus pada penelitian matematika dalam konteks teori dan aplikasinya di berbagai bidang. Topiknya antara lain: Teori aljabar, analisis, geometri, dan topologi Aplikasi matematika dalam sains, teknologi, dan ekonomi Metode numerik dan komputasi matematika Model matematika untuk penyelesaian masalah dunia nyata Matematika statistik dan probabilitas Matematika terapan dalam ilmu teknik dan teknologi Ruang Lingkup Ilmu Kebumian Bidang ini membahas penelitian yang terkait dengan ilmu kebumian dan penerapannya dalam pendidikan dan penelitian lingkungan. Topiknya meliputi: Geologi, geofisika, dan geografi Sumber daya alam dan pengelolaannya Perubahan iklim dan mitigasi bencana alam Geohazard dan manajemen bencana Pendidikan geosains di tingkat sekolah dan perguruan tinggi Aplikasi ilmu kebumian dalam konservasi dan keberlanjutan lingkungan
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 65 Documents
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Eksplorasi Penerapan Pembelajaran IPA Tematik Terpadu dalam Membangun Kesadaran dan Kepedulian Lingkungan Siswa
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.673

Abstract

The purpose of this study was to investigate how integrated thematic science teaching can help elementary school students become more aware of and care for the environment. Descriptive qualitative methodology was used, and data were collected through documentation, interviews, and observations. The research findings show how science teaching combined with environmental themes can improve students' conceptual knowledge and foster an environmentally conscious mindset. In addition to understanding environmental issues, students also showed behavioral changes by keeping the school clean, saving water, and encouraging their friends to be responsible for the environment. Active student participation, instructor inventiveness, and school program support are elements that contribute to the success of learning. Meanwhile, time constraints and differences in students' ability levels are the main challenges. As a contextualized character education approach in elementary school, integrated thematic science learning has proven to be successful in shaping the character of environmental stewardship.
Konsep Himpunan dalam Matematika: Definisi, Penyajian, Jenis, dan Sifat Operasi
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.677

Abstract

This article explores the concept of sets in mathematics, a fundamental foundation for various disciplines. The discussion includes the definition of a set as a well-defined collection of objects, as well as various methods of presenting them such as enumeration, description of properties, set-forming notation, and Venn diagrams. In addition, the article outlines the various types of sets (empty, universe, equal, part, disjoint, crossed, equivalent, power) and explains the fundamental properties of set operations (identity, dominance, complement, idempotent, absorption, commutative, associative, distributive, De Morgan). The primary objective is to provide a concise yet comprehensive understanding of sets as a foundational pillar of logical and mathematical thinking.
Perbandingan Efektivitas Pembelajaran Deep Learning dan Diferensiasi terhadap Kemampuan Pemecahan Masalah dan Penalaran Matematika Siswa SMP
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.683

Abstract

This study aims to compare the effectiveness of the Deep Learning and Differentiated Instruction models in improving junior high school students’ mathematical problem-solving and reasoning abilities. The background of this research stems from the low level of mathematical literacy among Indonesian students, which demands innovative and reflective learning approaches. A quasi-experimental method was used with a Nonequivalent Control Group Design. The sample consisted of two eighth-grade classes at SMP Negeri Satu Atap 01 Ciseeng, each receiving different instructional treatments: one class was taught using the Deep Learning approach, and the other using the Differentiated Instruction approach. The instruments employed included mathematical problem-solving tests, observation sheets, and student perception questionnaires. The data analysis results indicated that the class taught with the Deep Learning model experienced a more significant improvement in mathematical reasoning ability compared to the class using Differentiated Instruction. These findings suggest that Deep Learning-based instruction is more effective in promoting students’ higher-order thinking skills. It encourages deeper engagement with mathematical concepts, fosters critical and analytical thinking, and allows students to construct knowledge through meaningful learning experiences. However, Differentiated Instruction remains relevant in providing learning comfort and addressing diverse student needs, making it beneficial in inclusive classroom settings. The theoretical and practical implications of this research highlight the importance of integrating both depth of thinking (Deep Learning) and flexibility in learning (Differentiation) within mathematics instruction. Such integration could offer a balanced learning environment that supports both cognitive development and emotional engagement, leading to more effective and equitable mathematics education. In conclusion, this study recommends educators and curriculum developers to consider incorporating Deep Learning strategies to enhance students’ mathematical reasoning while maintaining the adaptive and student-centered principles of Differentiated Instruction. Future research could explore hybrid learning models that combine the strengths of both approaches to maximize student outcomes in mathematics learning.
Mengenal Proses Terjadinya Pelangi pada Pebelajaran IPA di Sekolah Dasar
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.684

Abstract

This study aims to understand how learning about rainbows can improve elementary school students' understanding of basic science concepts, particularly regarding the refraction of light and the color spectrum. The concept of rainbows is an important part of Natural Science (IPA) lessons because it involves optical phenomena that can be directly observed and related to students' daily experiences. In this study, the method used is a literature study, namely by collecting, reviewing, and analyzing various relevant library sources, such as scientific articles, textbooks, and educational journals that discuss the topic of science learning and the rainbow phenomenon. The results of this study indicate that learning about rainbows can be done through various interactive and fun approaches, such as through practical experiments using prisms, water droplets, or other simple media that can demonstrate the process of refraction of white light into a color spectrum. In addition, the use of visual media such as images, animated videos, and digital simulations has also proven effective in helping students understand the process of rainbow formation more concretely. Creative activities such as drawing rainbows, making color models, or role-playing as light and water droplets can also increase active student participation and make learning more enjoyable. This study also emphasizes the importance of integrating rainbow learning into the elementary school science curriculum systematically and contextually. Rainbow materials not only introduce scientific concepts in a fun way, but also develop critical thinking, observation, and experimental skills in children. With the right approach, this learning can foster students' interest in science from an early age. Therefore, the results of this study are expected to contribute positively to the development of more effective, creative, and developmentally appropriate science learning methods for elementary school students.
Mengenal Relasi dalam Matematika : Pengertian, Cara Penyajian, Sifat - Sifat, dan Contoh Penerapannya
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.686

Abstract

Relations in mathematics are a fundamental concept that describe the connection between two sets. This concept is crucial because it forms the foundation for understanding functions and various other mathematical topics. In everyday life, relations can be found in numerous real-world situations, such as the relationship between teachers and their students, sellers and buyers, or students and their exam scores. By understanding relations, students can see how elements from one set are linked to elements in another set based on specific rules. Unfortunately, many students still find it difficult to grasp the concept of relations because it is often taught in an abstract way, filled with mathematical symbols that are not connected to their real-life experiences. As a result, students may feel that the topic is irrelevant to their lives, leading to a lack of interest and poor comprehension. In fact, if taught contextually and practically, the concept of relations can serve as a key bridge to help students understand functions and their relevance in the real world. This article aims to explain the concept of relations through a more practical and relatable approach. For example, it can be illustrated by connecting students' names with their attendance numbers, or linking foods with their nutritional contents. Through these examples, students can see that relations are not just rigid parts of a math lesson but also reflect meaningful connections in everyday life. In this way, it is expected that students will gain a more comprehensive understanding of relations—not only mathematically but also in terms of practical application and functionality. A solid understanding of relations will make it easier for students to learn advanced concepts such as functions, mappings, and mathematical logic. Therefore, a learning approach that emphasizes contextual understanding is essential, so that students are not merely memorizing formulas but are also capable of applying the concept of relations in real-world situations.
Pengembangan Instrumen Tes Matematika pada Materi Statistika Berbasis Kontekstual untuk Siswa Kelas VII SMP
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.693

Abstract

This study aims to develop a contextual learning-based mathematics test instrument focused on Statistics and intended for eighth-grade junior high school (SMP) students. The instrument developed consists of essay questions designed by integrating real-life situations to make them more relevant and meaningful for students. This contextual approach is expected to help students understand statistical concepts more deeply and improve their ability to solve mathematical problems related to everyday life. In the instrument development process, a series of analyses were conducted to test the quality of the test items, including validity, reliability, discriminating power, and difficulty level. The validity of the test items was tested using the correlation between item scores and total scores, with the results showing that all test items had a correlation coefficient greater than the r value of the table, thus being declared valid. Meanwhile, the reliability coefficient obtained was 0.84, indicating that this instrument has a high level of consistency and is suitable for use in measurement. Analysis of the discriminating power showed that each test item had excellent ability to differentiate students with high and low abilities. The analysis of the difficulty level showed balanced variations, namely from easy, medium, to difficult categories. This variation is important to accommodate differences in student ability levels and reflect the diversity in the context of the problems presented. Overall, the results of this study indicate that the developed test instrument is of excellent quality and can be used as an evaluation tool to measure students' mathematical problem-solving abilities. Furthermore, this instrument supports more contextual, interactive, and meaningful statistics learning.
Pengaruh Minat, Disiplin dan Kemampuan Berpikir Kritis terhadap Hasil Belajar di SMK PGRI 2 Sidoarjo
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.694

Abstract

This study aims to analyze the influence of learning interest, learning discipline, and critical thinking skills on student learning outcomes in the Simple Financial Processing subject for class XI MPLB at SMK PGRI 2 Sidoarjo. Learning outcomes are understood as skills or abilities acquired by students after participating in the learning process, the success of which is measured through scores in the form of numbers, symbols, or letters. Three factors selected in this study as independent variables are learning interest, learning discipline, and critical thinking skills. This type of research is quantitative research with an explanatory approach, which aims to explain the cause-and-effect relationship between these variables. The population in this study were all 102 class XI MPLB students. The sampling technique used non-probability sampling with a total sampling type, so that the entire population was sampled. Data collection was carried out by distributing questionnaires to students. The data obtained were then analyzed using SPSS version 27 software. Before conducting multiple linear regression analysis, validity and reliability tests were first conducted to ensure that the instruments used were appropriate and consistent in measuring the variables studied. The analysis results show that the three independent variables—learning interest, learning discipline, and critical thinking skills—have a significant influence on student learning outcomes. Therefore, it can be concluded that improvements in these three aspects will positively impact student learning outcomes in the subjects studied.
Penerapan Logika Matematika dalam Menyelesaikan Masalah Sehari-hari
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 2 (2025): Mei : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i2.701

Abstract

Mathematical logic is a branch of science that studies the principles of logical reasoning and how to judge the truth of a statement. This article discusses the role of mathematical logic in everyday life, especially in education, technology, and finance. Mathematical logic has been proven to help improve critical, analytical, and systematic thinking skills, making it easier for individuals to solve various problems more effectively and efficiently. In the world of education, mathematical logic supports the development of rational, argumentative, and problem-solving skills, and is an important foundation in the science and mathematics curriculum. Teachers can leverage this logic to encourage students in building consistent reasoning and logical argumentation. In the field of technology, mathematical logic is the foundation in the development of modern computing systems, such as algorithms, programming, artificial intelligence, and data structures. Without mathematical logic, digital systems such as search engines, software, and applications cannot function optimally. In finance, mathematical logic plays a role in budget strategy, investment decision-making, statistical analysis, and rational risk management. With a good understanding of logic, individuals and institutions can make more wise and measurable financial decisions. Although his contribution is large, there are still many people who do not understand the basic concepts of mathematical logic. This can be overcome through more inclusive education, contextual approaches, and interactive learning based on real problems, both in schools and non-formal environments. This study emphasizes the importance of mathematical logic as a foundation in supporting a more rational, efficient, and structured life in today's modern era. Increasing mathematical logic literacy can be a national strategy to create a society that thinks critically, is competitive, and ready to face global challenges.
Nilai-Nilai Pendidikan Islam dalam Ada' Tuho Ulumanda dan Implementasinya di Pondok Pesantren Darul Ulum Desa Popenga Kecamatan Ulumanda Kabupaten Majene
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.728

Abstract

This study aims to examine and analyze the Islamic educational values ​​contained in the local tradition of Ada' Tuho Ulumanda and its implementation at the Darul Ulum Islamic Boarding School, Popenga Village, Ulumanda District, Majene Regency. The Ada' Tuho tradition is one of the cultural heritages of the Ulumanda community that is full of moral, social, and spiritual values ​​that are closely related to the principles of Islamic education, especially the values ​​of faith, morals, and society. In the context of Muslim society, local traditions are not only seen as cultural symbols, but also function as a medium for transmitting religious values ​​that strengthen Islamic identity while maintaining social harmony. The research method used is a descriptive qualitative approach with data collection techniques through observation, in-depth interviews, and documentation. The data obtained are analyzed thematically to reveal the Islamic educational values ​​contained in the practice of Ada' Tuho and its form of implementation in the Islamic boarding school environment. The results of the study indicate that the Ada' Tuho tradition contains a number of important values, including: the value of monotheism that emphasizes faith and respect for God's power, moral values ​​that include honesty, responsibility, discipline, and respect for parents and others, and social values ​​in the form of solidarity, mutual cooperation, deliberation, and justice in community life. The implementation of these values ​​at the Darul Ulum Islamic Boarding School is carried out through a formal learning process, habituation of worship, exemplary behavior of the ustaz, and strengthening the character of students based on the integration of Islamic values ​​and local wisdom. Thus, the Islamic boarding school plays a role as an agent of preserving religious culture that is able to harmonize Islamic teachings with local traditions constructively, making it relevant to strengthening contextual Islamic education in the modern era.
Penerapan Metode Jigsaw Learning dalam Pembelajaran Pendidikan Agama Islam di SMP 3 Sendana
Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian Vol. 1 No. 3 (2025): Agustus : Aljabar : Jurnal Ilmuan Pendidikan, Matematika dan Kebumian
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aljabar.v1i3.732

Abstract

This study aims to describe the application of the Jigsaw Learning method in Islamic Religious Education (PAI) learning at SMP 3 Sendana and to identify the advantages and obstacles encountered during the learning process. The research method used is descriptive qualitative, with data collection techniques through observation, interviews, and documentation. The results of the study indicate that the application of the Jigsaw Learning method can increase student activeness, strengthen group cooperation, and help understand the material more deeply and comprehensively. In this activity, students not only act as recipients of information from the teacher, but also as conveyors of material to their group mates. The process of sharing information between members encourages students to be more active in seeking out, understanding, and explaining the concepts being studied. In addition, this method also creates a collaborative and enjoyable learning atmosphere, due to the positive social interactions between students. This can increase a sense of responsibility and concern for the success of the group. However, in its implementation, several obstacles were found that require attention. Some of these include limited study time within the available lesson hours, inequality in contributions between group members which sometimes results in an uneven workload, and a lack of student readiness to understand the material independently before the group discussion process takes place. Despite the challenges, these obstacles can be minimized through effective classroom management, such as balanced group division, motivation, and intensive teacher support throughout the learning process. With the right strategy, Jigsaw Learning remains an effective and relevant method for Islamic Religious Education (PAI) learning, as it encourages the achievement of learning objectives in a participatory, active, and enjoyable manner. Therefore, this method is a worthy alternative to cooperative learning that can improve the quality of religious education at the junior high school level.

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