A aprendizagem de ângulos através da pavimentação do plano com ladrilhos: experimentação e prática de sala de aula

Abstract

The objective of this research is to investigate how students understand and learn the concepts of angles through experimentation with tiles. The theoretical foundation is based on Skovsmose's (2001) studies, which underpin Critical Mathematics Education (CME) and advocate for contextualized learning connected to real-life situations, promoting the development of critical and cognitive skills. It also draws on Kolb's (1984) experiential learning theory, which suggests that learning is a cyclical process involving concrete experience, observation, conceptualization, and experimentation. The methodology employed involved a qualitative approach and was conducted with an 8th-grade class in a public school within the Médio Rio das Contas municipal education network. Data collection was carried out through observation and students' reports during workshops. The analysis was based on students' responses, their interactions, and the strategies developed to solve the proposed activities. The main results highlight the importance of practical and interactive activities for understanding abstract concepts such as angles, demonstrating that experimentation with tiles aids students in grasping geometric concepts. This study contributes to the development of teaching methodologies that integrate geometry with practical activities, promoting more meaningful and contextualized learning for students.