Estructura conceptual y representaciones en dos libros de texto para la formación de agrimensores en la España del siglo XVIII

Abstract

The analysis of the textbooks that served as support to students and professors through the history allows the researchers of the Mathematics Education research line to know the development and the evolution of the mathematical concepts and methods, the scope of the scientific advances and how these were incorporated into the teaching of the subject of the time. Therefore, this work focuses on analyzing the treatment given to the contents of practical geometry or surveying in two of the manuals published in Spain during the eighteenth century that served to instruct the guild of land surveyors. In particular, the books located and analyzed were those written by Manuel Hijosa in 1874 and by Xavier Ignacio de Echeverría in 1758. The methodology used in this work was of a descriptive and exploratory type, which is part of the research approach of a historical and that uses the technique of content analysis to interpret the data. For this purpose, the types of exercises and problems included in the manuals have been identified and classified, as well as the representation systems and the numerous situations or contexts, specific to the discipline, that the authors used to expose the contents of the works. The results obtained show the interest of the authors to help the surveyors and aspiring surveyor, to apply the extensive theoretical knowledge of mathematics to the practical applications they had to face in order to properly develop their work.