O estado da arte do tema frações nas dissertações do Profmat: aspectos quantitativos e qualitativos das abordagens teóricas e metodológicas

Abstract

The objective of this work is to quantitatively verify the state of the art of the subject of fractions in the dissertations produced by PROFMAT (Professional Master's Degree in Mathematics in the National Network) and to categorize the theoretical and/or methodological approaches to this subject. PROFMAT is a stricto sensu postgraduate course, coordinated by the Brazilian Mathematical Society (SBM) that has been working with the support of the Institute of Pure and Applied Mathematics (IMPA) since 2011. A survey on the subject of fractions was carried out on the official PROFMAT website, verifying that there are a total of 110 dissertations, which we grouped into 15 categories. Of these, 70 are about manipulative mathematical games, which corresponds to 80.5%, and 17 are about digital mathematical games, which corresponds to 19.5%. Even though the higher percentage of use of manipulative games in relation to digital games is predictable, in the period of time investigated, this work becomes a reference for future research, given that from this year of 2020, with the current home confinement, teachers were required to prefer the use of digital technologies and consequently, for the period after 2020, we will probably have a substantial increase.