Descripción

This article was carried out through a documentary review, which used the state of the art or state of knowledge procedure, allowing an analysis of the literature of the study in the development of the structure of previous knowledge, metacognitive strategies, and semiotic transformation in the resolution of algebraic problems, from the conceptual, empirical and hermeneutical dimension, to continue exploring, weaving together discourses and understanding the trends of in-depth studies. In this sense, each one of them is defined, and the trends or approaches are described, from the theoretical, epistemic, and methodological fields, concluding that a variety of qualitative and quantitative methodologies are used, and some mixed or multimethodical designs, and that the characteristic processes of the articulated functioning of previous knowledge, metacognitive strategies and semiotic transformation in their natural learning environment are fundamental in the investigative analyzes of the transition process from arithmetic to algebraic processes.