Interactive applets: an approach for meaningful learning of derivatives

Abstract

The use of interactive digital tools has transformed the teaching of complex mathematical concepts, such as derivatives, providing new opportunities for more visual and meaningful learning. This article aims to analyze the impact of interactive applets on the understanding of derivatives, identifying their effectiveness compared to traditional teaching methods. To achieve this, a systematic analysis of research and previous studies published between 2015 and 2024 was conducted, highlighting the role of applets in the learning of abstract concepts in mathematics. Data were collected on the advantages of interactive visualization, student motivation, and academic performance associated with the use of these technologies. Furthermore, theoretical findings were contrasted with empirical data obtained through assessments in educational settings that implemented these resources. The results indicate that interactive applets significantly enhance the understanding of concepts such as slope and rate of change, increasing student motivation and active participation. The study concludes that integrating interactive applets into the mathematics teaching process not only facilitates the learning of complex concepts but also promotes a more dynamic environment tailored to the current needs of students.