Desafios e limitações no ensino de sequências, com ênfase em progressões aritméticas e geométricas

Abstract

In this work, the Problem-Based Learning (PBL) methodology was applied to the teaching of Sequences and Progressions, using real-life situations to make learning more meaningful and dynamic. Students were encouraged to explore numerical patterns and identify regularities in different contexts. To understand arithmetic progressions, activities such as calculating taxi fare costs and building a straw tower were proposed, allowing students to analyze the constant variation between terms. Geometric progressions, in turn, were addressed through the analysis of the exponential growth of COVID-19, demonstrating how mathematical concepts apply to real-world phenomena. Additionally, technological tools such as LibreO ce Calc were used to optimize calculations, reduce operational workload, and allow greater focus on interpreting results. Thus, the adopted approach not only facilitated content assimilation but also stimulated critical thinking and student autonomy in the learning process.