A Vocational Case-Based Mathematics Learning Model to Improve Metacognitive Abilities and Learning Achievement of Vocational Students
A Vocational Case-Based Mathematics Learning Model to Improve Metacognitive Abilities and Learning Achievement of Vocational Students

Summary/Abstract: Background/purpose. Mathematics has numerous uses for vocational students. Unfortunately, most vocational students are unaware of this, thus neglecting mathematics learning and focusing solely on vocational material. This study attempts to develop a vocational casebased learning model to enhance students' metacognition, enabling them to learn mathematics effectively and efficiently. Materials/methods. A vocational case-based mathematics learning model was developed using the Borg and Gall framework and validated by experts. Its effectiveness was tested through a quasiexperimental non-equivalent pretest-posttest control group design involving 60 vocational high school students in two classes (an initial trial at SMK Negeri 1 Singaraja and a final trial at SMK Negeri 3 Singaraja). Metacognitive awareness and mathematics achievement were measured using standardized instruments, and data were analyzed with MANOVA. Results. Expert evaluations confirmed that the model was valid and feasible for classroom use. MANOVA results showed that students in the experimental group significantly outperformed those in the control group in both metacognitive awareness and mathematics achievement. Usability testing indicated superior performance in attractiveness, efficiency, accuracy, stimulation, and novelty, with clarity rated as good. Interview analysis further revealed that the model increased student motivation, engagement, and vocational relevance in mathematics learning. Conclusion. The vocational case-based mathematics learning model effectively improves metacognitive awareness and mathematics achievement while making mathematics more contextual and meaningful for vocational students. By embedding mathematics in familiar vocational contexts, the model increases motivation and helps students recognize its relevance to their future careers.

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