Os conhecimentos geométricos implícitos e explícitos na técnica tradicional de medição de terras utilizando a unidade de medida braça:

Abstract

Since Antiquity, human beings have developed their own methods of land measurement, among which the braça stands out as a body-based unit of measurement still used in Brazilian rural practices, whose underlying mathematical rationality remains little explored in the field of Mathematics Education. This study aims to analyze the implicit and explicit geometric knowledge present in the traditional technique of land measurement using the braça, relating this knowledge to the formal concepts of school Geometry. This is a qualitative, exploratory study based on bibliographic research, grounded in studies on Ethnomathematics, the History of Mathematics, and empirical research on traditional land measurement practices. The analysis identifies concepts of length, perimeter, area, proportionality, and spatial organization within the technique, revealing a correspondence between the land measurement procedure and the trapezoid area formula. It is concluded that the braça constitutes a legitimate form of mathematical rationality, contributing to the appreciation of traditional knowledge and to the strengthening of Ethnomathematics.