Detailed mathematical reasoning abilities can help students to understand higher mathematical abilities, including proving, problem-solving, and critical thinking. However, based on surveys and research, students' mathematical reasoning abilities are low and require significant attention. Therefore, this study aims to gain a detailed picture of the mathematical reasoning abilities of students who got the social cognitive learning (SCL) model and students who got the problem-based learning (PBL) model by considering the students' mathematical self-efficacy (MSE). The study used a quasi-experimental Nonequivalent post-test-only group design with 70 students from class 11 SMA in one school in Bandung. The data collection used a Mathematical Reasoning Ability test and a mathematical Self-efficacy Questionnaire to classify MSE levels as low, moderate, or high. The data were analyzed using two-way ANOVA and a 3x2 factorial design. According to the study results, students taught using the SCL model had better mathematical reasoning abilities than those taught using the PBL model. Moreover, students with high MSE levels exceed low MSE levels in math abilities. The SCL model enhances students' mathematical reasoning abilities and expands the range of social cognitive theory's applicability of mathematics.