Números complexos : interação e aprendizagem

Abstract

This work presents a research in Mathematical Education, which consisted in the development of a virtual learning object (LO), to be potentially significant, with a learning route, planned to understand and to operate with complex numbers. This digital resource was constructed based on researches with Elementary Education teachers and Higher Education professors, scientific works reading, participation in Mathematical Education events and a self-perspective strategy for complex numbers learning. This author followed the significant learning theory ground works, the Programa Ensino Médio Inovador draft and studies aimed at the LO creation toward the classroom to the research and the materials construction. From this perspective, a research-action happened, aim at the study of each chosen classroom, answering the following questions: Does the constructed LO have potential as learning resource of complex numbers? Did the constructed learning route stimulate the study and promote the significant learning of the complex numbers? The constructed proposal was applied in a group from High School 2014 third trimester. As method for building search results, it was in use triangulation that is to consider several data collection procedures taking aim at to characterize the analysis and the research’s results. The LO ratings and the students learning processes occurred from simultaneous form. The data qualitative analysis arising from different instruments (questionnaires, photographic registers and log-book) revealed that the main objective was reached using the LO, in a significant potentially learning route to promote the concepts understanding on complex numbers. The results were positive in relation to the pedagogic proposal that integrates the LO and the learning route, because using these pedagogical resources, students was involved in a reflexive environment, where they were agents of their learning. Therewith, a material that can be qualified as potentially significant was constructed, with active strategy to the development of significant learning.