Explorando Registros Figurais: implicações para o desenvolvimento do pensamento geométrico

In this paper, we showed results of a study about student essays at a private College, containing records presentations in planned regions. The activities were worked out under the theory of semioptics presentation records (DUVAL, 1995; 2007) and required from the students the treatment set as well as the conversion of figures records the tasks had three stages: the first and second stages were of limited regions by four-sided and from the choice of one the four-sided angles in particular, a rectangle to ramp up subfigures and find algorisms that would allow to calculate their respective areas. In the third stage situations were proposed relating conversion and figures records treatment in order for to investigate students possible obstacles to work with figures records. The results signal to inconsistency of plain geometry basic concepts and difficulties to deal with geometry figures conversion, as well as to find algorisms that allow them to calculate areas of built subfigures.