Desenvolvimento de uma unidade de ensino potencialmente significativa para o ensino de Séries de Fourier

Abstract

Contemporarily, many have been the academic investigations centred in the difficulties on learning Mathematics in the scope of Exact and Natural sciences as well as engineering. In line with this problematic, it is noticed that the cooperation between teachers and students is the best way of facing the academic difficulties. Being this one of the aspects of greater relevance for the success in the Mathematics teaching-learning. Furthermore, this paper has had as an objective to develop, apply and evaluate a proposal of potentially meaningful teaching for the study of Fourier Series, based upon the Ausubel‟s Learning Theory, via the utilisation of Information and Communications Technology. Inside this scenario, it is described the creation of a Potentially Meaningful Teaching Unit (PMTU), in the shape of themed workshops constituted by mathematical concepts and activities developed with free software, for the teaching of Fourier Analysis and Approximation of Functions. As subjects of research, 19 students of the Bachelor of Education in Mathematics of UNIPAMPA – Bagé campus, RS. The conducted research was of the Pedagogical Intervention kind, with qualitative and quantitative type itsought to investigate the percentual gain in learning related to the application of the themed workshops.Trough the method of gain normalised in the learning of Richard Hake, pre and post testswere used on the approached subject. As a result, it was observed a normalised gain in learning of 30% among the participants that found themselves in the first half of the course. With the intent of qualitatively ratifying the learning, conceptual maps elaborated by the students are presented and analysed. The quali-quantitative analysis signal that there have been indications of meaningful learning. The educational production which results from this work consists in a material composed by three workshops using the GeoGebra and Scilab softwares.