Simuladores matemáticos como recurso didáctico para el aprendizaje de la derivada de una función de dos variables

Abstract

Abstract: This research evaluates the impact of mathematical simulators in the learning of the derivative of functions of two variables at U. E. José Mejía del Valle, Puéllaro, Quito. The objective is to determine its effectiveness as a didactic resource and its influence on academic performance. The study employs a mixed approach, using a purposive sample of third year high school students. Quantitative and qualitative methods are combined, along with bibliographic and field research techniques. Results indicate that interactive mathematical simulators have a significant positive impact on the conceptual understanding of the derivative of functions of two variables. The dynamic visualization of abstract concepts, such as partial and directional derivatives, allows students to develop a deeper and more meaningful understanding. This innovative approach proves to be a valuable tool for improving the teaching-learning process in this complex field of mathematics. The research highlights the importance of integrating educational technologies into the teaching of mathematical concepts, providing educators with empirical evidence on the effectiveness of simulators as a complement to traditional teaching methods.