Aplicação da integral definida num areal de uma região do campo do município de Castro Alves/BA

Abstract

This course conclusion work originated from a theoretical-practical activity of Time Community, in the curricular component Calculus C, of the Licentiate Course in Rural Education - with Qualification in Mathematics, at the Federal University of Recôncavo da Bahia (UFRB). The task was to relate the integral calculus content to possible living and everyday situations in a peasant community. Thus, it is the analysis of data collected during a field research carried out in an areal of a rural community in the municipality of Castro Alves – BA. The main objective of the research was to analyze possible contributions of the definite integral in real peasant situations, by calculating the area of an areal located in a rural community in the municipality of Castro Alves-BA. The theoretical contribution was anchored in the contributions of Caldart (2012), Molina and Sá (2012), Viero and Medeiros (2018), among others. The methodology used for data collection and analysis was through qualitative research and exploratory character. The results pointed out that mathematics, specially the defined integral, is able to contribute to the resolution and understanding of problems of reality and the rural context, and indicated that the teaching of integral calculus in the conceptions and formative practices of the Degree in Rural Education, it is capable of providing meaningful learning, and of contributing to the process of sociopolitical training and citizen emancipation of rural subjects.