Guía didáctica para la enseñanza de la probabilidad condicional e independencia de sucesos en Bachillerato General Unificado (BGU) enfocada en la toma de decisiones

Abstract

This study addresses the issue of teaching conditional probability and independence of events in the Ecuadorian educational context, specifically the scarcity of innovative didactic resources. The Organic Law of Intercultural Education emphasizes the need for innovative educational methodologies, justifying this research. Through a comprehensive analysis of the current curriculum and interviews with teachers, the time and resource limitations that hinder a deep understanding of these mathematical concepts were identified. To address these deficiencies, a didactic guide and a physical resource accessible to teachers were designed and created, integrating digital tools and interactive activities. The didactic guide is structured to facilitate the teaching of conditional probability and independence of events through innovative pedagogical methods that promote active learning. It includes simulations, practical applications, and interactive examples that allow students to experiment with the concepts dynamically. This approach aims not only to improve students' understanding but also to increase their interest and engagement with the subject matter. The created physical resource is designed to be easily used in the classroom, providing teachers with a practical and effective tool for teaching these complex concepts. By integrating this resource into the educational process, it aims to overcome current limitations and promote probability teaching that is both comprehensible and relevant to students. The implementation of this guide and didactic resource represents a significant step towards a more innovative and effective mathematics education in Ecuador.