| Summary: | This document reports de investigation performed around the resignification of the linearity, like property of the functional relationship of two variables, in an experience of distance and on line education. Our investigation is placed within the so-called socioepistemological framework. For that reason, we envisagedfour components of the construction of mathematical knowledge; namely, the epistemological, cognitive, didactic and social dimensions. Notions coined in this perspective have the characteristic of being analysis units to explorer the socialorigin of knowledge. Two among them are fundamental: the resignification and the social practice. Once the social practice are recognized as a source of knowledge and the nature property of each function is properly distinguished, the situations designed based on socioepistemology show tools and arguments thatallow, in turn, to build news meaning and / or modify previous.The possibilities that the on line scene provide, as for incorporation of technological tools, permit to thinkabout the role of itself in the on line learning and in the construction of mathematical knowledge.
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