Elementos para una didáctica del lenguaje y las matemáticas en estudiantes sordos de niveles iniciales

Abstract

This book presents the results of the research project "The Development of Communicative Competence in Mathematics in Deaf Students," code 1130-405-20203, co-funded by Colciencias and the Francisco José de Caldas District University from 2007 to 2010. The project was carried out by the Interdisciplinary Research Group on Language and Mathematics Pedagogy (GIIPLyM). In general terms, the aim was to design a didactic proposal for the initial mathematical education of deaf children, based on the mathematical development of Colombian Sign Language and its relationship with semiotic systems such as Spanish, geometric figural systems, and decimal numeration. To investigate the development of communicative competence in mathematics in early-grade students, the research methodology known as didactic engineering (Artigue et al., 1995; Calderón and León, 2012) was chosen. Using this methodology, a design was developed to achieve the aforementioned macro objective, based on the development of four engineering phases: the preliminary analysis phase, in which the state of the phenomenon under investigation was studied, that is, the state of mathematics and language education in classrooms for deaf children in early grades, and the preparation of the elements for the didactic design. To this end, three ethnographies were conducted in schools exclusively for deaf children. The second phase of a priori analysis was dedicated to the conception and design of teaching situations, which resulted in the DIDACTIC DESIGN constructed for the development of communicative competence in mathematics. The didactic design was considered a macro device that articulated mathematical, cognitive, and linguistic-communicative aspects from the perspective of teaching and learning. The third and fourth phases of experimentation and a posteriori analysis constituted the validation of the design and the identification of emerging didactic aspects.