Mapping research about the multiplicative structures field based on the conceptual field theory.

Abstract

This article is an excerpt from a completed master’s research and aims to present a mapping of research on the Field of Multiplicative Structures from the perspective of the Theory of Conceptual Fields. To this end, we consider a corpus of master’s and doctoral research defended within the period (1997- 2018) available in the Database of Dissertations and Theses of CAPES. We used the following search descriptors: “multiplicative structures” and “Multiplicative Field” and obtained 97 studies. After an initial analysis, we observed that only 64 studies met our established parameters. Considering this corpus, we organized the data to show the concentration by type of study, year, and publication data. Subsequently, we categorized the studies considering the participants or focus of the studies. The mapping showed few studies had been developed on combinatorial reasoning from Vergnaud’stheoretical perspective, many barriers to learning combinatorial concepts, and students have great difficulties understanding those concepts.