Analysis of the effectiveness of competency based learning (cbl) model in improving numeration skills of students of SMA Negeri 1 Gending

Mathematics education in Indonesia faces challenges in improving students' numeracy skills, particularly at the Senior High School (SMA) level. This study aims to analyze the effectiveness of the Competency-Based Learning (CBL) model in enhancing students' numeracy skills. The method used is an experimental approach with a quasi-experimental nonequivalent control group design. The sample consists of 60 grade XI students from SMA Negeri 1 Gending, divided into experimental and control groups. The research instruments include numeracy skill tests, observation sheets, and lesson plans (RPP). The normality test results indicate that the data are normally distributed, while the homogeneity test ensures uniformity between groups. The independent t-test reveals a significant difference between the experimental and control groups, with a t-value of 11.154 and p < 0.05. The experimental group applying the CBL model achieved a higher average score, with a mean difference of 13.100 and a 95% confidence interval (10.749–15.451). This study shows that the CBL model is more effective than conventional methods in enhancing students' numeracy skills. These findings are expected to serve as a reference for innovative mathematics teaching strategies to improve students' numeracy competencies.