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All Journal Suska Journal of Mathematics Education Juring (Journal for Research in Mathematics Learning) Jurnal Riset Pembelajaran Matematika Pedagogy : Jurnal Pendidikan Matematika Jurnal Teknologi dan Manajemen Industri Terapan Populer: Jurnal Penelitian Mahasiswa Guruku: Jurnal Pendidikan Profesi Guru Jurnal Kajian Penelitian Pendidikan dan Kebudayaan Matematika Sains MERDEKA: Jurnal Ilmiah Multidisiplin Hipotenusa: Journal of Mathematical Society Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa Ruang Komunitas : Jurnal Pengabdian Masyarakat Jurnal Pengabdian Masyarakat Mandira Cendikia (JPKM-MC) Matematika Sains: Jurnal Ilmu Matematika
annisah kurniati
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Agriculture, Biological Sciences & Forestry Humanities Astronomy Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Journal : Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa

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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.
Pendekatan Konseptual dalam Memahami Analisis Real untuk Pemula Endha Istiqomah; Ristia Rahmadani; 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.v3i5.796

Abstract

Real Analysis is a fundamental course in mathematics education characterized by its deductive and axiomatic structure, which requires logical, systematic, and conceptual understanding. However, many studies have shown that students often face difficulties in grasping abstract concepts and constructing mathematical proofs deductively. Lestari (2015) found that most students were only able to conduct proofs inductively, while their deductive proof skills remained low due to weak prerequisite knowledge and lack of formal reasoning practice. Meanwhile, Darmadi, Sanusi, and Rifai (2024) explained that students’ difficulties in understanding formal definitions and the structure of real numbers indicate the need for a learning approach that emphasizes conceptual comprehension. This article employs a literature review approach to analyze the application of conceptual approaches in helping beginners understand Real Analysis. The results show that a conceptual approach enhances students’ understanding of the meaning behind mathematical symbols and procedures, helps them build connections among concepts such as limits, continuity, and the real number system, and gradually develops their deductive reasoning skills. Therefore, applying a conceptual approach in Real Analysis learning is an essential strategy to help students achieve deep, logical, and meaningful understanding.
Co-Authors Adelia Javiarma Azha Apriliani Citra Ayu Lestari Citra Mayang Sari Cut Wira Depriwana Rahmi Elis Setiawati, Elis Elsyavira Elsyavira Endha Istiqomah Evrim Erbilgin hana rezki yana Hayatun Nufus Jabar Yasir Nada, Atika Nahda Nurhaliza Nurul Arafah S. Relin Nelfi Yolanda Ristia Rahmadani Rizky Aulia Nisa Sakina, Elin Putri Siti Nuraisah Suci Yuniati Suci Yuniati Yuniati Suci Yuniati* Teddy Purnamirza Windri Gusnita