Digital Visualization Tools and Mathematical Proficiency: A Correlational Study of Desmos, GeoGebra, Conceptual Understanding, and Student Engagement in Calculus
Abstract
This study examined the relationship between the utilization of digital visualization tools, specifically Desmos and GeoGebra, and the mathematical proficiency of Grade 11 STEM students in Calculus, focusing on conceptual understanding and behavioral, emotional, and cognitive engagement. Anchored in Constructivist Learning Theory and Dual Coding Theory, the study employed a descriptive-correlational design involving 134 Grade 11 STEM students at Liceo de San Pedro selected through purposive sampling. Data were collected using a validated researcher-made structured questionnaire and analyzed using mean, standard deviation, and Pearson Product-Moment Correlation. The findings showed high utilization of interactive graphing, dynamic manipulation of functions, visual representation of concepts, and real-time feedback, alongside high levels of conceptual understanding and student engagement. Digital visualization utilization had significant positive relationships with behavioral, emotional, and cognitive engagement (r = .577–.720, p = .001) and conceptual understanding (r = .621–.698, p < .001). Dynamic manipulation of functions showed the strongest relationships with cognitive engagement and conceptual understanding. The study concluded that digital visualization tools are significantly associated with mathematical proficiency but, due to the correlational design, do not establish causality. It recommends consistent integration of Desmos and GeoGebra, teacher preparation, visualization-based curricular activities, and further experimental research. The study aligns with SDG 4 – Quality Education by supporting meaningful, student-centered, technology-enhanced mathematics learning. Its sustainability impact centers on educational and technological sustainability through the purposeful integration of digital visualization to support sustained improvements in Calculus teaching, conceptual learning, and student engagement.