Uma Proposta de Instrumento de Análise da Representação Gráfica para o Ensino de Geometria

Abstract

Graphical representations and their importance for learning Geometry are the subject of much research. However, even considering that this body of research has led to greater attention to the teaching of Geometry and graphical representations, what we observe during our teaching practice is the difficulty of students regarding the concepts, characteristics, properties and representations of shapes, even those that are studied since kindergarten. Representations, when made, are presented in the same positions and proportions. During Technical Drawing or Architectural Drawing classes, proposals for graphic solutions are restricted to rectangular shapes, even though there is total freedom of creation and other shapes are more appropriate. A dictatorship of right angles. Curved and oblique shapes are clearly avoided. Exams applied in courses at the Federal Institute of Pernambuco (Recife campus) that have graphic representations as a foundation indicate these difficulties with geometric knowledge and repertoire. It was from there that we verified the need to develop an instrument that allows the registration and subsequent analysis of concepts and representations of shapes made by students in high school. Thus, we propose the Graphical Representation Analysis Tools ("Instrumentos de Análise da Representação Gráfica", IARG), the Definitions Elaboration Analysis Tool ("Instrumento de Análise da Elaboração de Definições", IAED) and the Shape Recognition Analysis Tool ("Instrumento de Análise de Reconhecimento da Forma", IARF), which, when applied together, aim to detect the relationships among recognition, representations and definitions of shapes. We intend to apply the instrument and, from a thorough analysis, present results that can collaborate with the teaching of Geometry and the various disciplines that use graphic representations.