Reconfiguration of the rectangle trapezoid in a square grid: an investigation with Peruvian second graders of secondary education

Abstract

This article is part of research Borja (2015) which aims to present research with Peruvian secondary school students (12-13 years), about the reconfiguration of the rectangle trapezoid is a grid mesh find it measure area. The work is based on aspects of Theory of Semiotics Representation Registers and Didactic Engineering methodology. In which it is observed that students take the heterogeneous decomposition of the isosceles trapezoid to transform it into a rectangle, that means reconfiguration and count the squares completed in the grid, considered unit area to determine its extent of area. Then, the perceptual support the grid mesh influences the reconfiguration.