Instrumental Orchestration and Didactic Engineering

a contribution to the teaching of real functions of one real variable

Abstract

Due to the COVID-19 pandemic, the classes of several universities of the country are suiting themselves to the scenario of remote teaching, bringing out the need of studies about teaching methodologies thought, until now, for face-to-face classes. Thus, this study aims to present an instrumental orchestration made by remote mode for the teaching of real functions of one real variable. It is a descriptive qualitative research, which has Didactic Engineering as guiding methodology and relies on the Theory of Registers of Semiotic Representations and on the Theory of Didactical Situations as a complement with the scope of describing and building the teaching situations. The orchestration was applied to 24 students of the Calculus subject of a Mathematics degree course at the Federal University of Amazonas. The study data show that the exploration of technological resources, the use of Geogebra, the requirement to deliver lists of exercises as after-class activity and the delivery of summaries as pre-class activity contributed to the students' learning. In addition, the emphasis in the conversion of representation of registers at the proposed situations and the constant encouragement for students to actively participate in classes were other factors which contributed a lot to their learning.