Improving Differential Calculus Learning in 2nd BGU Students Using the Singapore Method in Guano

Abstract

This article addresses the application of the Singapore Method in teaching differential calculus to second-year students of the Unified General Baccalaureate (BGU) at the CESPATT Educational Center in Guano, Ecuador. Based on constructivist approaches such as those of Bruner and Vygotsky, it highlights the importance of the CPA approach (concrete, pictorial, abstract) and the use of visual representations and manipulatives to strengthen learning. Furthermore, it emphasizes the importance of problem-solving as a central axis of the educational process. The research adopts a mixed methodological approach, using data collection techniques such as surveys and observations to evaluate the effectiveness of the methodology. Ethical principles are considered, ensuring confidentiality and informed consent. Finally, the study seeks to provide innovative pedagogical strategies to improve the understanding and application of differential calculus in the Ecuadorian context, aligning it with the national educational curriculum.