As potencialidades da resolução de problemas e do GeoGebra em problemas de otimização do cálculo diferencial

Abstract

This work aims to investigate the potentialities of the methodology of Problem Solving and GeoGebra in the understanding of Derivative concepts, from Optimization problems. To carry out the research, we used the Thomas A. Romberg model characterized as a way to develop a scientific research obeying ten essential tasks employed as a scientific methodology, which served for the planning and development of this work. The field research was carried out with students from the UEPB Graduate School of Mathematics Science and Mathematics Education, during two meetings lasting four hours each, through selected problems related to the familiarity with GeoGebra and the solving and understanding Differential Calculation Optimization problems in the context of Problem Solving and the software already mentioned. Data collection took place through the researcher's preparation, record of student's activities, notes made by the researcher, audio recordings and a questionnaire applied to the students' assessment against the applied methodology. The data analyzed served to verify that the potentialities of the Problem Solving methodology combined with GeoGebra contributed to the establishment of some concepts relevant to Differential Calculus, arousing a critical look at the problems and stimulating a visual reasoning, in addition to promoting meaningful learning.