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Mathematical Communication of Vocational High School Students in Solving Papuan Ethnomathematics-Based Problems Dewi Kristika Findia Ning Tyas; Marthinus Y. Ruamba; Ririn Dwi Agustin; Pujilestari Pujilestari
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 14 No. 1: January 2026
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v14i1.17783

Abstract

This study examines how Indonesian vocational high school (SMK) students communicate mathematically while solving systems of three-variable linear equations (SPLTV) embedded in Papuan ethnomathematical contexts. Using a qualitative descriptive design, the study involved ten Grade 10 students representing ten vocational departments. Data were collected through students’ written solutions to ethnomathematics-based SPLTV tasks (e.g., contexts involving culturally familiar objects such as noken and local economic practices) and follow-up semi-structured interviews intended to clarify students’ reasoning, procedural choices, and interpretation of results. Analysis employed a rubric-guided coding scheme comprising three observable indicators of mathematical communication: (1) mathematical expression/modeling (translating contextual information into variables and SPLTV equations), (2) identifying relevant information and coherently explaining solution procedures, and (3) drawing contextual conclusions that interpret solutions in relation to the problem situation. To ensure consistent reporting, each indicator was evaluated by evidence source written work (W), interview evidence (I), or both (W+I) allowing the study to distinguish between students who understood an element but did not document it in writing. Findings indicate that all participants were able to construct an SPLTV model from the cultural context, and most were able to explain elimination–substitution procedures, although several omitted key communication components (e.g., “given/asked” statements or an explicit concluding sentence) in their written work. Overall, eight of ten students produced a valid contextual conclusion when evidence from written work and/or interviews was considered, whereas two students struggled with core procedural steps and therefore could not reach a meaningful conclusion. These results suggest that Papuan cultural contexts can support meaning-making and initial modeling, but explicit support for procedural fluency and written communication norms remains necessary to produce complete, accountable solutions.
Representation Obstacles in Semantic Processes for Geometric Problem Solving Ririn Dwi Agustin; Rochsun Rochsun
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 14 No. 2: April 2026
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v14i2.19751

Abstract

Mathematics is a fundamental subject in the curriculum, but many students still struggle when it comes to representing, interpreting, and connecting mathematical information in solving geometry problems. Previous research has generally addressed learning obstacles from conceptual, procedural, didactic, or epistemological perspectives, but has not specifically examined how representational obstacles emerge within the semantic process as students construct mathematical meaning. This study addresses this gap. The aim of this research is to describe the representational obstacles experienced by students during the semantic process of solving geometric problems. In this study, the semantic process is defined as a series of activities to construct meaning through reading, sorting information, identifying keywords, connecting concepts, constructing arguments, verifying solution steps, and drawing conclusions in the form of visual, symbolic, and verbal representations. The study employed an exploratory qualitative approach involving 51 students grouped into high, medium, and low ability levels. The basis for identifying representational obstacles was established through an analysis of geometric problem-solving test results, written work traces, and interviews across five semantic stages: sequencing, identification, argument formulation, verification, and conclusion, taking into account inaccuracies, incompleteness, or failures in inter-representational transformation. The research results indicate that high-ability subjects tend to experience visual, symbolic, and verbal obstacles in the early stages, whereas subjects with moderate and low abilities predominantly experience verbal and symbolic obstacles. In the verification stage, all groups exhibited relatively similar symbolic and verbal obstacles, indicating a common difficulty in formalizing and testing the validity of solutions. Theoretically, this study reinforces the understanding that representational obstacles are not only related to conceptual mastery but also to failures in the meaning-making process during the semantic stage. Practically, these findings provide a foundation for developing more targeted geometry learning strategies to strengthen inter-representational translation, mathematical argumentation, and solution validation.