Um ambiente digital para apoiar o ensino das operações fundamentais da matemática baseado na teoria dos campos conceituais

Abstract

Learning assessment research has shown that students at the beginning of their student life have great difficulty in learning the contents of the mathematics discipline, especially the fundamental operations (addition / subtraction and multiplication / division). In the Theory of Conceptual Fields, created by the French researcher Gérard Vergnaud, two pedagogical approaches are proposed, the Additive Field related to addition / subtraction and the Multiplicative Field related to division / multiplication, to facilitate the learning of these operations. Many education networks already use these approaches, but their use is a difficult task for teachers. To enhance and encourage the use of these approaches, we propose a digital environment to support the teaching and learning of the fundamental operations of mathematics in a collaborative and ubiquitous way, based on a survey of the difficulties and needs of teachers in teaching based on the Theory of Conceptual Fields. To validate the proposed model of the digital environment, a specific methodology was defined, a prototype was built and applied to schools in a municipal education network. The results obtained in the application of the proposed environment in schools show that the proposal facilitated the work of teachers in the teaching of fundamental operations and contributed to the increase of students' proficiency in mathematics, which may improve the results in future research for learning assessment, in elementary school.