Methodology for solving problems of physical phenomena with Ordinary Differential Equations

This article presents a methodology to the study of Ordinary Differential Equations (ODE), from problem solving, favoring several representations of the models. Illustrates a solution, with the steps present in the methodological proposal, who directed the analysis of the models of equations and graphs of physical phenomena. The theoretical reference comes from of mathematization of phenomenon physical with differential equations and by problem solving, based on the semiotic representations, diversification of representations of mathematical objects and analysis of models. The mathematization is created by laws of motion and quantitative and qualitative parameters. This methodology is the result of studies and researches from Masters in Teaching Science and Mathematics at PUC Minas, to support teachers and students of the courses of the exact sciences that have the disciplines of Differential Ordinary Equations in their curriculum.