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Huswatun Hasanah
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Journal : International Journal of Educational Development

 1 
Design of the Learning Trajectory of One-Variable Linear Equations in Junior High School Through a Realistic Mathematical Approach to Generative Models Huswatun Hasanah; Sugiman Sugiman
International Journal of Educational Development Vol. 3 No. 1 (2026): January: International Journal of Educational Development
Publisher : Asosiasi Periset Bahasa Sastra Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61132/ijed.v2i3.376

Abstract

This study aims to identify students' learning obstacles in the process of understanding one-variable linear equations in grade VII, develop an appropriate learning trajectory using a Realistic Mathematical Education (RME) approach, and produce an effective learning design to reduce these obstacles through generative models. The research adopts a design research methodology consisting of three main stages. The first stage, preparation for the experiment, includes a literature review and analysis of teachers’ instructional practices to develop a Hypothetical Learning Trajectory (HLT) for one-variable linear equations. The second stage, design experiment, involves testing the designed learning activities through a pilot experiment and teaching experiment. The third stage, retrospective analysis, compares actual classroom observations with the initial HLT to refine and validate the learning trajectory. The research subjects include seven grade VII students in the pilot experiment and 44 students from SMP Negeri 2 Mataram in the teaching experiment. Data collection methods include tests, observations, interviews, and documentation, with retrospective analysis used to generate a validated Local Learning Trajectory (LLT). The findings reveal several epistemological obstacles experienced by students, such as difficulties in applying fundamental arithmetic concepts (addition, subtraction, multiplication, division) within the context of linear equations. Students also struggled with concept recognition, representation, and interpretation of linear equations in various forms. The developed LLT proved effective, as students demonstrated improved understanding and were able to follow the learning sequence meaningfully. Retrospective analysis confirmed that the LLT successfully addressed and reduced students’ learning obstacles in mastering one-variable linear equations.
Co-Authors Abdul Aziz Abdullah Abdullah Achmad Syarifudin Amir, Nani Hamdani Ansori, Sopian Azansyah Azansyah, Azansyah Baiq Fina Farlina Bambang Bambang Budiman Budiman Damyati, Fitri Darmawan, Rivaldi Dewi, Vonny Khresna Dwia, Beta Putri Edy Waluyo Ekayani, Pusparatri Ely Nuryani Fadilah, Laila Putri Fatullah, Rizki Fidduha, Arsyadila Sophia Firdaus Firdaus FITRIYAH, NUR Gaffar, Muhammad Andriana Gandhi, Herry Kartika Hansein Arif Wijaya Hapisah, Hapisah Hilmi, Tubagus Wildan I Wayan Ari Makmur Ikhtiarani, Kirana Indah Tri Wahyuni, Indah Tri karmila karmila Khizanatul Hikmah Kirana, Rita Leni Fitriani, Leni Lisa Ramayanti Manule, Yolanda Masum Ma’ulfi Kharis Abadi Mohammad Taufik Hidayat Muhammad Rifqi Nega, Salonike Nofiyanti, Bela Nugraha, Fikri Nurabiah, Nurabiah Nurul Hidayah Nurul Qomariyah Nuryani, Ely Oktavani, Nicko Purnama, Hukma Ratu Pusparini, Herlina Putri, Helmiati Putri, Masita Nairul Aulia R. Usman Rery Rambe, Sangkot Rendi Rendi, Rendi Ria Saputri, Ria Rina Masadah Rinarto Subroto Rizky, DWI Ruhiawati, Irma Yunita Salsa, Cinta Tasya Sari, Fitri Aida Setiyadi, Bradley Solihati, Tifani Intan Sri Supiyati, Sri Sudarman Sugiman Sugiman Sutanto Sutanto Syahrul Rauf Taufik Hidayatulloh Tersta, Friscilla Wulan Wahyu Satya Gumelar Widyawati Widyawati Wirawan, Rahadi Wirawan, Tjuk Yanuar, Melinda YUSLI MARIADI Zainuri Zainuri, Zainuri