Ijarme
Vol 1 No 2 (2023)

Exploring the Relationship Between Self-Efficacy and Mathematical Critical Thinking Skills Among Vocational High School Students in the Context of Matrix Learning

Kusumawardani, Rita (Unknown)
Syaefullah, Nandang Arif (Unknown)



Article Info

Publish Date
27 Jul 2025

Abstract

This study investigates the relationship between students’ mathematics self-efficacy and mathematical critical thinking (MCT) performance in the context of vocational high schools. Drawing on Bandura’s theory of self-efficacy, the research explores how students’ belief in their mathematical abilities predicts their capacity to analyze, evaluate, and reason through mathematical problems, particularly within the topic of matrices. 137 eleventh-grade students from four state vocational schools in Indonesia participated in this study. Data were collected using validated self-efficacy and MCT instruments and analyzed through correlational and regression techniques. Results indicate a strong, positive, and statistically significant correlation between mathematics self-efficacy and MCT (r = 0.743, p < 0.001), with self-efficacy explaining 55.2% of the variance in MCT scores. This relationship remained robust after controlling for gender and vocational program. Regression analysis confirmed self-efficacy significantly predicted students’ MCT performance (β = 0.743, p < 0.001). Additionally, components of self-efficacy—magnitude and strength—were identified as key predictors, while magnitude showed the highest predictive power. Analysis across MCT components revealed that students’ self-efficacy beliefs most influenced inference and analytical reasoning. These findings underscore the critical role of self-efficacy in shaping higher-order mathematical thinking and suggest that enhancing students’ confidence in mathematics may significantly improve their reasoning and problem-solving abilities. The study provides practical implications for instructional design in vocational education settings, emphasizing the integration of motivational strategies to support students’ cognitive performance.

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Journal Info

Abbrev

ijarme

Publisher

Subject

Mathematics

Description

The International Journal of Advanced Research in Mathematics Education (IJARME) is a peer-reviewed open-access journal established to disseminate advanced knowledge in the theory and application of mathematics education. The journal is committed to maintaining high academic standards by ensuring ...