Rully Charitas Indra Prahmana
Doctoral Program in Education, Universitas Ahmad Dahlan, Yogyakarta, Indonesia

Published : 2 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search

Local Instructional Theory for Ratio and Proportion through Yogyakarta Cultural Tour Packages for Inclusive Education Students Irma Risdiyanti; Zulkardi; Ratu Ilma Indra Putri; Rully Charitas Indra Prahmana
Mathematics Education Journal Vol. 20 No. 3 (2026): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v20i3.pp571-602

Abstract

Students with mild learning difficulties in inclusive classrooms frequently encounter substantial challenges in developing conceptual understanding of ratio and proportion, particularly when required to connect abstract mathematical relationships with meaningful real-world situations. Rather than reasoning proportionally, many students interpret proportional situations as routine arithmetic procedures, while limitations in working memory and difficulties in processing abstract information often result in inefficient or inappropriate computational strategies. Consequently, mathematics instruction in inclusive settings should provide contextualized, concrete, and sensorimotor-based learning experiences that facilitate conceptual understanding while simultaneously reducing unnecessary cognitive load. This study aimed to develop a Local Instructional Theory (LIT) for teaching and learning ratio and proportion through the integration of the Indonesian Realistic Mathematics Education known as PMRI approach and Embodied Learning within the authentic context of Yogyakarta cultural tour packages. The study employed design research of the validation studies type, comprising three iterative phases: preliminary design, design experiment, and retrospective analysis. The resulting learning trajectory consisted of four interconnected instructional activities: recommending cultural tourism destinations, organizing efficient travel routes, selecting appropriate transportation, and calculating tour package prices. The findings demonstrate that students progressively developed proportional reasoning from concrete embodied experiences toward formal mathematical understanding by comparing quantities, representing proportional relationships through ribbon diagrams and double number lines, and applying concepts of direct and inverse proportion to solve contextual decision-making problems. Furthermore, the integration of culturally meaningful tourism contexts with embodied learning activities effectively reduced students’ cognitive load and facilitated their transition from intuitive, informal reasoning to formal proportional understanding, thereby providing empirical support for the effectiveness of the proposed LIT in inclusive mathematics education.
Mathematical Reasoning in Jemparingan: An Ethnographic Study of Ratio, Acute Angles, and Integer Operations in a Javanese Archery Tradition Novia Ahlul Janah; Dwi Astuti; Rully Charitas Indra Prahmana
Journal of Honai Math Vol. 9 No. 1 (2026): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v9i1.1247

Abstract

Traditional cultural practices have become a major focus in the study of ethnomathematics. However, there is still relatively little empirical research that systematically identifies the mathematical concepts embedded in traditional Javanese games. Therefore, this study aims to identify and analyze the mathematical concepts embedded in Jemparingan , a traditional Yogyakarta archery game, and to examine its relevance to mathematics learning. This research employed a qualitative ethnographic approach. Data were collected through participatory observation, field documentation, and semi-structured interviews with Jemparingan  practitioners. The data was analyzed using thematic analysis, which includes data organization, in-depth reading and data recording, coding, and data interpretation. The findings revealed three mathematical concepts: proportional relationships in equipment measurement, acute angles in bow positioning, and integer operations in score calculation. These patterns are closely associated with the Javanese philosophy of hening-hening (inner calmness), which emphasizes calmness and balance. Overall, this study contributes to ethnomathematics by providing empirical evidence that traditional games can function as authentic representations of mathematical thinking while supporting appreciation of local cultural heritage. These findings encourage educators to consider the integration of local culture into more meaningful mathematics instruction.