Modelagem matemática online: temas matemáticos, poderes naturais e estratégias pedagógicas

Abstract

The present thesis entitled “Online Mathematical Modeling: mathematical themes natural powers and pedagogical strategies” aimed to investigate what / how interactions appeared between students mediator and mathematical content during the synchronous development of Mathematical Modeling tasks in a virtual learning environment online. To achieve this goal I was part of the team that planned, elaborated and carried out the course “Interactions and Modeling Strategies in the VMTcG environment” in the second half of 2018. The synchronous meetings in the Virtual Math Teams online environment with GeoGebra counted on the participation of students of the mathematics course at the Federal University of Pará and the Federal Rural University of Rio de Janeiro. For this thesis sessions were selected by a group of students that I mediated throughout the course. The data were produced by the students in the development of the Mathematical Modeling tasks in the Virtual Math Teams online environment with GeoGebra, allowing subsequent access to the chats constructions made on the whiteboard, and the constructions made in GeoGebra stored the environment itself. For data analysis I used the four phases of analysis of chats being built for the fourth phase an interaction analysis diagram based on the theoretical concepts of mathematical powers pedagogical strategies and mathematical themes. The results showed that Mathematical Modeling tasks developed synchronously in the Virtual Math Teams online environment with GeoGebra were useful for the manifestation of pedagogical strategies mathematical powers and mathematical themes however this manifestation was conditioned to the configured teaching and learning ecosystem, that in the case of this thesis the problem situations proposed and addressed by the Mathematical Modeling tasks were linked; the possibilities allowed by the online environment chosen to investigate these problem situations and the framework adopted by the mediator in conducting the investigation.