A resolução de problemas nas técnicas de integração utilizando recursos tecnológicos

Abstract

The objective of this work was to analyze the Integration Techniques through the Problem Solving Methodology with the use of technological resources. The choice of the theme was based on the context experienced in classes involving Integration Techniques, considering the importance of understanding the concepts. The theoretical foundation adopted in this research was an intertwining of the following themes: Methodology of Teaching-Learning-Assessment of Mathematics through Problem Solving; Integral Calculus; and Digital Technologies. With that, we developed this research by the following guiding question: In what way can the Problem Solving Methodology with the aid of technological resources contribute to the teaching and learning of Integral Techniques with understanding? Our research is qualitative, following a descriptive approach and we constituted the data from seven face-to-face and virtual workshops. The participants of the research were students from a third semester class of the Mathematics and Physics undergraduate course of the Faculty of Education, Sciences and Languages of Iguatu (FECLI), Ceará, who were taking Calculus II. The data was collected through the researcher's computer records, the research participants' notes, and through audio and video recordings during the workshops. From the analysis of the data obtained in the research, we noticed that the development of the workshops through the Problem Solving Methodology brought to the students a better view of manipulative understanding of the Integration Techniques, because through this strategy they were co-constructors of their own knowledge. Evidencing this context, we bring as results the reflections of episodes experienced during the workshops, such as: the students' insecurity when solving the problems, since they were used to receiving the concepts, examples and some rules; the contribution of some technological resources to the understanding of the proposed problems and the help of the exploration of the problem solving for the understanding of the concepts of Integration Techniques.