A técnica de simulação de Monte Carlo aplicada ao cálculo de áreas no ensino médio

Abstract

This study presents the application of the Monte Carlo integration technique for calculating areas of plane figures, aiming to enhance Mathematics education in high school. The methodology includes a practical and experimental approach, involving computational simulations using R software and engaging classroom activities, such as the use of tangible materials to estimate areas of geometric shapes. The theoretical framework encompasses concepts from geometry, probability, and statistics, providing a solid foundation for the method’s application. The results indicated that the use of the Monte Carlo technique improved students’ understanding of mathematical concepts and increased their interest in the subject. Additionally, it was observed that increasing the number of random samples enhances the precision of the estimates, validating the method’s effectiveness. It is concluded that integrating interactive practices and computational tools into teaching enables more meaningful and contextualised learning, making it a valuable strategy for various educational levels.