This research stems from an interest in observing the role that mathematical concepts play in carrying out engineering projects. In order to perform a systematic analysis, we propose a methodology to observe and realize phenomena that are produced when mathematical concepts are used in carrying out these projects. The methodology employed is related to the theoretical framework of theoretical and practical modes of thinking. By using this methodology we have analyzed four engineering projects within the context of four master' s theses in Systems Engineering. These theses were produced in the same institution, but they concern different problems related to real situations. In this article we present the analysis of on of these theses, which allow us to illustrate the phenomena that we observed by means of the methodological tool that we designed.
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