Secuencia didáctica para enseñanza aprendizaje de funciones cuadráticas mediante software GeoGebra, décimo año Escuela “Héroes de Paquisha”, Machala, 2023-2024

Abstract

In teaching quadratic functions, teaching sequences play a crucial role in facilitating deep and meaningful learning. These structured sequences are especially effective when integrated with technological tools such as GeoGebra. This software allows students to visualize and manipulate quadratic functions interactively, which helps them understand both their algebraic and graphical representation. In the first step of the sequence, students can be presented with simple problems that allow them to manipulate graphs of parabolas to observe how variations in parameters affect the graph. As students become familiar with the software, they can be introduced to more complex quadratic functions, including those with coefficients that are not integers or that involve additional terms. GeoGebra facilitates this exploration by allowing the creation of dynamic graphs and the performance of precise calculations, which in turn helps students build a more intuitive and visual understanding of the topic. A second phase of the teaching sequence could involve collaborative activities where students solve problems in groups using GeoGebra to analyze different aspects of quadratic functions, such as the vertex, intercepts, and axis of symmetry. This approach not only reinforces individual learning, but also promotes teamwork and mathematical discussion skills. Teachers can guide students in interpreting results and connecting these results to algebraic concepts. Finally, the sequence must conclude with the application of the acquired knowledge to real-world problems. Students can use GeoGebra to model practical situations that are described by quadratic functions, such as designing parabolas in architectural structures or analyzing trajectories in physics. This approach allows students to see the relevance and usefulness of quadratic functions outside of the academic context, fostering a deeper appreciation for the topic. Instructional sequences for teaching quadratic functions with GeoGebra should be designed to foster deep understanding through visual exploration, active collaboration and practical application, using the powerful tools that GeoGebra offers to make mathematical concepts more accessible and meaningful. for the students.