O GeoGebra como objeto de aprendizagem no ensino do teorema fundamental do cálculo : uma revisão bibliográfica e sugestão de aplicação

Abstract

The Fundamental Theorem of Calculus (FTC) serves as the cornerstone of differential and integral calculus, bridging these two areas. It establishes that integration and differentiation are inverse operations, demonstrating that problems such as calculating the area under a function's graph over an interval and constructing a tangent at a point on the function are inherently connected and can be solved simultaneously. An effective approach to teach this concept is through the utilization of educational software, such as GeoGebra. This interactive and easily manipulable tool was developed with the purpose of directly contributing to the teaching and learning process by combining algebraic and geometric resources. This is particularly valuable as students often encounter difficulties in these areas, especially in connecting them to one another. The main objective of this study was to present an active teaching methodology aimed at facilitating and enhancing the learning of the FTC through the utilization of the GeoGebra application in the classroom. The research methodology employed a bibliographical approach for technical procedures, an exploratory research design for objectives, and a qualitative research approach to address the problem. The research was conducted using the Google Scholar and Scielo platforms. The findings of this study concluded that the GeoGebra software has a positive impact on students' academic performance. Students also expressed positive perceptions of the GeoGebra software, highlighting enthusiasm, confidence, and motivation. It is recommended that this software be introduced to Mathematics educators, enabling students to explore the realm of Mathematics more comprehensively and fostering critical and creative thinking skills.