The teaching of optimization has usually become a mechanical process and devoid of arguments: its uses in specific situations of other disciplines, such as engineering, are generally ignored. With the Socioepistemological Theory, we carry out an empirical investigation where the epistemology of uses is problematized to assess the functional justification demanded by other domains of knowledge. We analyze aspects of Lagrange's Analytical Mechanics work and the work of mechatronic engineers. Engineers in training were defined as the study community, and the emergence of a specific selection situation as well as its uses and meanings of optimization are supported. The methodology consisted of the documentary analysis technique and semi-structured interviews. It was found that the selection situations generate meanings and optimization arguments.
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