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Journal : Journal of Mathematics and Applied Statistics

Understanding Students’ Proportional Reasoning through Contextual Tasks in RME: A Qualitative Perspective etmy, desventri; amalia putri , prismadian; yandi raharjo, Eko; susanta, agus; yensy astuty, nurul
Journal of Mathematics and Applied Statistics Vol. 3 No. 1 (2025): June 2025
Publisher : Yayasan Insan Literasi Cendekia (INLIC) Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35914/mathstat.v3i1.312

Abstract

This study aims to describe students’ mathematical reasoning processes within the framework of Realistic Mathematics Education (RME), particularly focusing on how learners develop proportional and logical reasoning through contextual tasks. Using a qualitative case study design, the research involved classroom observations, task-based interviews, and analysis of students’ written work collected from two purposively selected university students. Data were examined through thematic analysis to identify patterns of reasoning related to multiplicative strategies, symbolic manipulation, and the use of contextual or visual representations. The findings indicate that both students demonstrated strong procedural and symbolic proficiency, especially in applying logical laws and performing formal transformations; Student A showed consistent vertical mathematization, while Student B provided partial conceptual explanations but lacked systematic justification. However, neither student exhibited meaningful horizontal mathematization, contextual interpretation, nor the use of emergent models characteristic of RME-based learning. Their reasoning predominantly reflected imitative-procedural approaches rather than creative or relational reasoning, suggesting that their learning experiences did not sufficiently support guided reinvention or conceptual development through realistic contexts. These results highlight the need for instructional designs that integrate contextual tasks, visual models, and scaffolding aligned with RME principles to foster deeper conceptual understanding and more flexible reasoning. Keyword : Proportional Reasoning; Realistic Mathematics Education (RME); Mathematical Reasoning.
Co-Authors Abdul Muktadir, Abdul Abdullah, Slamet Afifah Rahmah, Afifah Afifah, Ririn Agung Setiabudi, Agung Agus Chandra, Andralin Aderevi Agusdianita, Neza agustian, yudika Agustinsa, Ringki Aidi, Rohman Aliyyah Irsal, Nur amalia putri , prismadian Anggraini, Dewita Angraini, Resi Ani, Weli Ari Anjani, Nurlita Ardy, Hafizatul Ariska, Nova Atmajaya, Tri B, Nurul Astuty Yensy Belyuni, Seli Binti Ali, Siti Rahaimah Charolina, Helvita Frasselia Della Maulidiya desventri etmy, desventri DEWI HERAWATY Dewi Rahimah Diani, Sanra Febri Djuwita, Puspa Dodi Isran Edi Susanto Efriyanti, Adelina Eka Saputra Elwan Stiadi Fachruddin Fachruddin Fashali, Agju Jihan Indri Fatrima Santri Syafri Febrianti, Nurmadhani Febrila, Lilia Gina Fitri April Yanti, Fitri April Fitri Yanti , Balida Luvitasari Fitriani, Melia Sari furwanto, eko Haji, H Saleh Hanifah hanifah hanifah Hanifah, - hanifah, Hanifah hanifah Hartati, Puji Herawati Herawati Heri Heryanto Heri Retnawati Herlin Fransiska intan permata sari Irmayanti, Meiselina Irsal, Nur Aliyyah Irwan Koto Irwan Koto, Irwan Izzania, Rizqa Dwi Shofiya Maghfira Jatra, Nofri Dwi juarsa, osa Junaidi, Demeliah Kauno, Wina Trisva Khalifah, Shela Mardha Kristiani, Febri Kusuma, Helti Puji Latif, Muhammad Fahmi Lestari, Karlya Dwi Upika Lestary, Ratnah Listari, Anisa Putri M Fachruddin S, M Fachruddin S Mela Azizah monica, shela Muchlis, Effie Efrida Muchlis, Efiie Efrida Munandar, Adis Mutiasari, Fitria Nasution, Yuliani Nesta, Ridho Agio Noer, Miftah Sakina Novianita, Lizza Nur Kasella, Dinda Nur, Lidya Syah Nurlianti, Lundy Eka Omarisa, Vera Parmadi, Bambang Parwadi, Parwadi Pasinda, Leki Permana, Made Agung Pratiwi Disha Stanggo Pratiwi, Della Septilia Eka Pratiwi, Endah Putri, Devy Sefiana Putri, Fina Rahma Putri, Oktavia Rahma Putri, Prismadian Amalia rahayu, lussiya sri Rahimah, Dewi Riza, Disma Rum, Ahbi Mahdianing Rusdi Rusdi Rusnilawati S, M Fachruddin Saputri, Rama Nia sari, Purnia sastrio, hendri Septiana, Eliza Septiawan, Rahmat Siagian, Teddy Alfra Sriyanti, Atika Sudarwan Danim Sumardi, Hari Susanti, Apri sutikno, lugu Syafdi Maizora Trinofita, Bella Utami, Fitria Rusti Utami, Yetha Utari, Tria Valencia, Ulva Dwi Widi Astuti, Rosa Widi Winarni, Endang Wulandari, Hayatri Yandi Raharjo, Eko yensy astuty, nurul Yensy B, Nurul Astuty Yensy, Nurul Astuty yensyB, nurul astuty Yuni Lestari Yusnia, Y. Zaili, Zam Zamzaili, Zamzaili Zulkardi