| Sumario: | Eng: The present work is framed within the research line of exploratory-investigative scenarios
with an important support in the didactics of mathematics. Its general objective is to characterize
the learning of the concept of direct proportionality in seventh grade students of the Institución
Educativa Técnica la Libertad de Samacá. In order to achieve this objective, the mixed research
approach is used, and exploratory and investigative activities are designed and applied based on
inquiry, manipulation of concrete and didactic material in different scenarios. In addition, actionresearch
is used, with the approach of problem situations that allow understanding from the
linearity of the concepts of reason and proportion and their covariation expressed in such linearity.
How to relate complex mathematical ideas with mental objects, human activities and reallife
phenomena that are appropriately adapted to these mathematical ideas is fundamental for
students to develop appropriately in their daily lives. An important challenge at the level of the
teacher-researcher, due to his condition as a non-graduate, is to contribute with some tool that from
his own experience can be useful in the understanding of the objects reason and proportion from
proportionality. It is also necessary to reflect on the pedagogical task and the importance of finding
new ways to carry out the teaching and learning process in the present times where there has been
a substantial technological change.
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