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All Journal Pentagon: Jurnal Matematika dan Ilmu Pengetahuan Alam Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Muklis Rivandi
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Earth & Planetary Sciences Mathematics

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Peran Pengantar Matematika Modern dalam Meningkatkan Kemampuan Berfikir Analitis Mahasiswa Prihaten Maskhuliah; Aulia Zaskia Ramadhani; Alfredo Aditya Nugroho; Muklis Rivandi
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 4 No. 2 (2026): Juni: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v4i2.1028

Abstract

Analytical thinking is an essential cognitive skill for university students in the digital era, and formal mathematics provides an important context for developing logical and systematic reasoning. This study examines the effectiveness of formal mathematics-based learning interventions in improving students’ analytical thinking skills. A Systematic Literature Review was conducted following the PRISMA protocol by identifying and selecting quantitative empirical studies from reputable scientific databases based on predetermined inclusion and exclusion criteria. The findings show that formal mathematics interventions, particularly structured proof-construction activities, significantly improve students’ cognitive performance (p < 0.05). The most notable gains were found in the ability to differentiate premises and organize axiomatic structures. Nevertheless, epistemological obstacles remain a major challenge, accounting for up to 42% of the variance in students’ reasoning scores. These difficulties are mainly associated with the high intrinsic cognitive load caused by the abstract nature of formal mathematics, which may lead to misconceptions when not properly managed. Therefore, educators and curriculum developers should design adaptive learning materials and gradual instructional strategies that reduce cognitive load while preserving the logical-deductive rigor of formal mathematics.  
Logika Matematika sebagai Fondasi Hidup yang Lebih Teratur Aulia Zaskia Ramadhani; Prihaten Maskhuliah; Alfredo Aditya Nugroho; Muklis Rivandi
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 4 No. 4 (2026): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v4i4.1045

Abstract

Developing self-regulation and a structured lifestyle poses a significant challenge for individual personality formation in today's complex information age. Mathematical logic is often viewed merely as a tool for cognitive computation, overlooking its epistemological potential to shape character and daily behavior. This study aims to analyze in depth the conceptual link between internalizing the principles of mathematical logic and the level of orderliness in an individual's personal life. A qualitative approach utilizing a library research design was employed. Data were gathered through a review of reputable scholarly literature and analyzed using content analysis and critical-comparative techniques. The findings indicate that mathematical logic serves as a formal reasoning structure that cultivates disciplined scientific thinking, sharpens decision-making objectivity, and minimizes logical fallacies. Internalizing formal rules of inference fosters mental habits such as mathematical disposition, logical-mathematical intelligence, and self-regulation capabilities. Consequently, individuals accustomed to logical reasoning tend to lead more organized lives, structure their priorities effectively, and methodically deconstruct complex daily issues without acting impulsively. The study recommends reorienting the teaching of mathematical logic to position it as a form of mental training that equips learners with self-management skills and fosters personal orderliness in real-life contexts.
Co-Authors Alfredo Aditya Nugroho Aulia Zaskia Ramadhani Prihaten Maskhuliah