Language, Literature and Education: Research Updates Vol. 8

Engaging college students in mathematics remains a significant challenge but is essential for effective teaching and learning in higher education, particularly in blended learning environments (combining face-to-face and online instruction). With the rise of blended learning, which integrates face-to-face and online modalities, the role of educators in fostering active participation has become increasingly important. This study examined the combined effect of perceived teaching performance and critical thinking skills on the mathematical engagement of Philippine Bachelor of Secondary Education (BSED) mathematics students. Using a quantitative, non-experimental, predictive-correlational design, 120 valid cases were obtained through stratified random sampling. A modified Teacher Effectiveness Performance Evaluation System Questionnaire was distributed online via Google Forms to evaluate teachers' teaching performance. Completed responses were collected, organised, and analysed using appropriate statistical methods in SPSS v.26. Correlational analysis revealed a very strong positive relationship among perceived teaching performance, critical thinking skills, and student engagement. This indicates that students who perceive their instructors as effective, engaging, and supportive are more likely to actively participate in learning mathematics. The regression analysis further demonstrated that these two factors significantly predicted students' engagement in mathematics. These findings highlight the importance of enhancing instructional quality, promoting critical thinking activities, and fostering engaging learning environments to support improved student participation, academic performance, and long-term success in mathematics. The study concluded that students' engagement in mathematics is significantly influenced by their perceived teaching performance of college instructors and their critical thinking skills. Based on these results, it is recommended that teacher training programs and curriculum developers integrate strategies that strengthen critical thinking and emphasise effective teaching practices to maximise student engagement in mathematics.