Integral de linha de campos vetoriais /trabalho realizado: imagem de conceito e definição de conceito

Abstract

This is a diagnostic character. The objective was to investigate the elements of concept image and concept definition, relating to the concept of line Integral of vector fields, when interpreted physically as work done. The theory of concept is employed as the theoretical basis for the discussions. The subjects investigated are students of the degree in Physics from a Federal Institution of learning in Minas Gerais. The data were collected during the teaching Experiments through questionnaires and interview. Among the conclusions, include the following: interpretation of the line Integral of vector fields as the sum of the work done by a force; the calculation of the line Integral of vector fields provides the work done; the direction of the vector field and particle trajectory displayed through the Maple software reveals the sign of . The survey results suggest: physics students tend to relate mathematical objects with physical concepts; Visualizing vector fields can enrich or generate theoretical conflicts; the use of a Software can generate new understandings; planning lessons for advanced mathematical content must include the accuracy of the mathematical technique, but also enable the intuitive enrichment of the concepts involved; the formal structure of mathematical definitions are little understanding even for students enrolled in disciplines most advanced calculation.