O ensino de funções lineares numa abordagem dinâmica e iterativa

Abstract

This paper presents a new approach in the study of linear functions. In addition, a brief analysis is made of the most relevant aspects of the history of the theme and its articulation with informatics. Initially, a survey was carried out in Goiânia's principal secondary schools in order to identify the textbooks they use. At this stage, a detailed examination of the predominant concepts in these books was undertaken. An attempt was made to give the proposal a theoretical foundation, maintaining, from start to finhish, a dialogue with the ideas of the principal researchers involved with the chosen theme. With regard to the historical and epistemological aspects, these were based on works orientated by Almounloud of the Pontifícia Universidade Católica de São Paulo, while in the context of informatics there was a constant attentive dialogue with the works of Borba and his disciples and other investigators in the field. with regard to the text, the principal objective of the research, this was based on the publications of the orientator Oliveira Filho. Finally, by using the Linear Web Aplett software, a proposal, which dynamically directs the study of linear functions, was drawn up, while at the same time new concepts were added to those already consolidated.