The goal of this article is to present the role of the technology during the transit between the different stages of the mathematical modeling cycle. Since 2008 at Tecnologico de Monterrey, it was began the development of a course that involves a mathematical modeling perspective as the principal mean for learning Differential Equations. It is presented the design of a specific situation related with Circuits Electric Context with activities based on the use of diverse technology. Based on a praxeological study we describes the types of tasks related to the mathematical modeling cycle when technology is applied, and also how the former ones might propose a better transit between the diverse domains of the modeling cycle. We conclude with the concluding remarks and future lines of research.