Relation, function or equation?
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Abstract
The authors make a reflective analysis on some of the questions asked in the surveys and interviews carried out, as well as the responses of the students and teachers. The questions asked become problem statements. Before answering the question, is it a relationship, a function, or an equation? the elements that characterize the three concepts are emphasized. The reasons why the students underestimate the sets where the law that links the elements are established are discussed, why they cannot recognize the difference between function and equation and the way to avoid that students keep any of the representations, believing that's the concept. The way in which the conceptual confusions and the possible causes that motivated these confusions have been clarified is also exposed, and a proposal is made to treat each of the concepts, identifying the characteristics of each one of them, emphasizing those that are usually minimized. Final reflections are made on the importance of these concepts in understanding other subjects and a proposal is made for the presentation of content.
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