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Operationalizing didactical situation-based online learning to support eighth-grade students’ mathematical reasoning and understanding in geometry: Participatory design research Sudirman; Rodríguez-Nieto, Camilo Andrés; Hidayat, Riyan; Isnawan, Muhamad Galang; Pauzan, Muh; Yumiati; Martadiputra, Bambang Avip Priatna; Faizah, Siti
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp43-68

Abstract

Mathematics education continues to encounter enduring challenges in fostering students’ mathematical reasoning and conceptual understanding, particularly in geometry, where learning frequently remains procedural and empirically driven. This study reports a participatory design research (PDR) project that operationalized a Didactical Situation–Based Online Learning (DS-OL) approach to enhance eighth-grade students’ mathematical reasoning (MR) and understanding (MU) in the topic of lines and angles. The research involved 120 students and 16 mathematics teachers, implemented through four iterative PDR phases: co-exploration, co-design, iterative implementation, and collaborative analysis. Diagnostic findings from the co-exploration phase indicated a predominance of instrumental understanding and empirically or authority-based reasoning, informing critical design decisions. During the co-design phase, principles from the Theory of Didactical Situations were transformed into online learning components structured around action, formulation, validation, and institutionalization, and were iteratively refined across two implementation cycles. Across these cycles, significant improvements were observed in students’ MR and MU, including marked pre–post gains (mean scores increasing from 65.00 to 83.79; Cohen’s d = 2.60) and shifts toward more deductive reasoning and relational understanding. Framed within a design-based epistemology, these findings are interpreted as design-supported enhancements rather than evidence of causal effectiveness. The study contributes to design-based knowledge by articulating empirically grounded principles for operationalizing didactical situations within online geometry learning environments.
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 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