O uso do Geogebra no trabalho pedagógico de desenvolvimento do raciocínio proporcional

Abstract

In this paper, based on the study of proportional reasoning and its development, within a constructivist view of the educational process and using as main references Gérard Vergnaud's Theory of Conceptual Fields and the work of The Rational Number Project, we created a virtual book with 13 applications (9 of which are presented and discussed here), developed using Geogebra software, which aim to contribute in the educational work in the development of proportional reasoning. We cover a range of different types of problems (missing value, comparison, enlargement / reduction, and part: part: whole problems); problems that could employ different resolution strategies and use both integer and rational numbers in their decimal or fractional form; quantitative and qualitative problems; with the use of continuous or discrete quantities; problems that used the most different types of representations, such as tables, graphs, algebraic expressions, technical mathematical language or even usual language. This set of applications, which is still in development, is intended as another motivating and efficient tool in our educational action in mathematics.