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Vocational high school students mathematical problem-solving skills in PBL on composite functions Dhiantika Aulia Hasna; Dwi Astuti
International Journal on Education Insight Vol. 7 No. 1 (2026)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijei.v7i1.15623

Abstract

Mathematical problem-solving skills remains a critical concern in Indonesian education. PISA 2022 results showing that Indonesian students’ mathematical performance is significantly below the OECD average. This issue is particularly important in vocational high schools, where mathematics is closely related to technical and workplace applications. Although Problem Based Learning (PBL) has been widely reported as effective in improving students’ problem-solving skills, most previous studies were conducted in general senior high schools and primarily focused on learning outcomes rather than examining students’ problem-solving processes in depth. Research specifically analyzing vocational students’ problem-solving characteristics at each stage of Polya’s framework within PBL, particularly on composite functions, remains limited. This study aims to fill this gap by qualitatively analyzing Grade XI vocational students’ mathematical problem-solving characteristics at each stage of Polya’s framework within PBL instruction on composite functions. A qualitative descriptive approach was employed involving 34 students. Data were collected through validated essay tests, observations, and interviews. Data analysis was conducted using data reduction, data display, and conclusion drawing techniques. The findings indicate that most students were categorized at a moderate level (83.33%), demonstrating adequate procedural ability but weaknesses in the planning and reflection stages. The study highlights an imbalance between procedural and metacognitive development and suggests the need for explicit scaffolding in planning and reflection to strengthen vocational students’ systematic problem-solving skills.
Culturally Responsive Mathematics Education: Utilizing the Traditional Paser Game as A Promising Context in Teaching Probability and Statistical Concepts Nada Auliya Rahmah; Rully Charitas Indra Prahmana; I Putu Ade Andre Payadnya; Dwi Astuti
Journal of Honai Math Vol. 8 No. 3 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i3.1063

Abstract

Despite the growing recognition of ethnomathematics in enriching student learning experiences, few studies have explored the mathematical content, particularly probability and statistics, embedded within specific indigenous Javanese games. This research addresses this oversight by focusing on the traditional game of Paser, an ancestral practice from Yogyakarta, offering a unique empirical bridge between local cultural philosophy and advanced mathematical concepts. The study aims to systematically identify and analyze the representations of probability and statistical reasoning inherent in the Paser gameplay. Data were rigorously gathered through ethnographic methods, specifically using participant observation, documentation, and semi-structured interviews with cultural practitioners. The findings demonstrate that Paser effectively integrates elements of probability, statistical distribution, and symbolic meaning. A key discovery is the profound link between the Javanese philosophy of hening-hening (inner calm) and an intuitive strategic approach to managing statistical variability, showcasing a deep integration of cultural values and mathematical reasoning. These insights highlight Paser's substantial potential as a contextual medium for developing culturally responsive mathematics education. By situating probability and statistics within a familiar cultural practice, this study not only contributes significantly to the ethnomathematics literature but also provides a tested model for strengthening students' appreciation of their cultural heritage alongside their mathematical literacy.