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Praxology in advanced geometry textbooks for distance education: A hermeneutic review of structure and knowledge representation Mery Noviyanti; Sudirman Sudirman; Thesa Kandaga; Sendi Ramdhani; Muhamad Galang Isnawan
Journal of Advanced Sciences and Mathematics Education Vol. 5 No. 2 (2025): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v5i2.840

Abstract

Background: Geometry plays a fundamental role in mathematics education by developing logical reasoning and spatial understanding. Despite its importance, geometry remains a difficult subject for university students, particularly in distance learning contexts. While several studies have analyzed geometry textbooks, few have examined their knowledge structures through a praxeological perspective. Aim: This study aims to analyze a university-level Euclidean geometry textbook by identifying how the components of praxeology, namely task (T), technique (τ), technology (θ), and theory (Θ), are organized and interconnected to support meaningful learning. Method: The research applied a hermeneutic phenomenological design. The textbook, used in a master’s geometry course at an Indonesian university, was analyzed through repeated readings and qualitative interpretation. Data were coded and categorized according to the praxeological framework and validated through researcher discussions. Result: The findings show that the textbook demonstrates a coherent praxeological structure with accurate theoretical explanations and effective technological representations. However, the analysis revealed weaknesses such as limited rationale for applying specific techniques, insufficient connection between theoretical concepts and exercises, and few examples of proofs. Conclusion: The study concludes that while the textbook reflects strong praxeological principles, improvements are needed in clarifying technique rationales, linking theory and practice, and structuring technological components. The results provide pedagogical insights for developing university geometry textbooks that enhance conceptual understanding, reflective reasoning, and learning effectiveness in both traditional and distance education settings.
Co-Authors Abdul Aziz Abdul Gafar Ahmad Muzaki Ainiyah, Raodatul Almazroei, Essa Eqal Aloisius Loka Son Alsulami, Naif Mastoo Alsulami, Naif Mastoor Ardi Dwi Susandi Arief Budi Wicaksono Bambang Avip Priatna Martadiputra cakrawala Bambang Triaji Belbase, Shashidhar Bonyah, Ebenezer Burhanudin Burhanudin Dejarlo, Jenisus O. Dewi, Aprianah Puspa Sari Didi Suryadi Didi Suryadi Elita Maydasari Evana Gina Shantika Faizah, Siti Fakhrurrozi , Imam Farah Heniati Santosa, Farah Heniati García-García, Javier Gunadi, Farid I Ketut Sukarma Imam Pakhrurrozi, Imam Indrawati Indrawati Indrawati Isnaini, Syifa'atul Istiqomah, Sucita Annisa Belia Ita Chairun Nissa Jannah, Siti Wardatul Kurniatika, Kurniatika Kuswara, R. Didi Lailatul Hidayah Lale Yaqutunnafis Lestari , Nurindah Lidaini, Lidaini Lily Aulin Assya Lume, Lume M Nurdin Mahirudin, Mahirudin Masjudin, Masjudin Mega Fatimah Rosana Meiyanti Widyaningrum Mery Noviyanti Moh. Rizal, Moh. Mufida Mufida Muhammad Halqi Muhammad Madani MUHIBBAN, MUHIBBAN Mulyana, Diki Nasuhi, Nasuhi Nurafifah, Luthfiyati Pauzan, Muh Pochulu, Marcel David Riyan Hidayat Rodríguez-Nieto, Camilo Andrés Rosyadi Runisah, Runisah Rusmayadi, Muh Safitri, Noviana Safitri, Widya Sani Sahmin, Sahmin Samsul Bahri Samsuriadi Samsuriadi Samsuriadi Samsuriadi, Samsuriadi Saputra, Didin Hadi Seftiana, Gina Sendi Ramdhani Sri Supiyati, Sri Sri Yuliyanti Sudirman Sudirman Sudirman Sudirman Syarifuddin Syarifuddin Thesa Kandaga Turmudi Wahyuni, Ema Linda Wanda Nugroho Yanuarto Wina Rosida Ariska Yumiati Zainudin Zainudin Zulhidayati, Indah