Guía didáctica y vídeos para la enseñanza-aprendizaje de la derivada de funciones trigonométricas, movimiento rectilíneo, regla de la cadena y diferenciación implícita

Abstract

Given the current requirements regulations for Ecuadorian education and the importance of differential calculus as a branch of mathematics and its applications in the contemporary world, it has been developed this teacher’s guide, which focuses on four main themes of the derivative’s functions. To fulfill this purpose it has been used printed material such as charts and graphs on the guide’s structure. Also, it has been used technological resources such as the calculator and the video. So, this guide tries to improve the teaching and learning of the subject. This work searches to create a link between the theoretical concepts presented in differential calculus’ texts and the resources that students can manipulate and relate them to the reality where they live. Thus, it is intended to achieve an integral education, where the teacher is a facilitator and a guide in the teaching and learning of differential calculus. In addition, by using the materials presented in this guide, teachers will be motivators to achieve quality learnings and improve academic performance.