<![CDATA[This study aimed to develop and evaluate an Integrative Learning Model based on Rubu' Al-Mujayyab Media (ILM-RAM), a digitally enhanced quarter-circle astronomical instrument integrated with problem-based learning and ethnomathematics, to improve students’ mathematical problem-solving ability. This study used a Research and Development approach with the ADDIE model, producing a teacher guidebook, student textbook, student activity sheets, lesson plans, and an Arduino-enhanced Rubu' Al-Mujayyab instrument, which were tested in two field trials involving Grade X students at a Muhammadiyah senior high school in North Sumatra, Indonesia (n = 26 per trial). Data were collected through expert validation sheets, teaching-management observation, student response questionnaires, and problem-solving tests, then analyzed using product-moment validity, Cronbach's Alpha reliability, and normalized N-Gain. The learning devices and instruments were rated as valid by five experts (mean scores of 4.06–4.26 out of 5), with very high item validity (r = 0.82–0.98) and good reliability. After revision following the first trial (69% classical mastery; below 80% positive response on most aspects), the second trial showed strong practicality (teacher-management score 4.08, "good" category; 87–100% positive student response) and high effectiveness (88.5% classical mastery; mean N-Gain = 0.60, medium category). The novelty of this study lies in operationalizing classical Islamic scientific heritage as a functional, technology-based pedagogical medium within a systematically validated integrative model, rather than merely as a symbolic cultural reference. These findings imply that Islamic-based schools can adopt ILM-RAM as an empirically validated alternative for learning.]]>
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