Resumen

CUEVAS-MORALES, Ismael; CASTANEDA, Apolo  y  PALMAS, Santiago. The trapezium with no formula. Didactical situation for pre-service teachers. Educ. mat. [online]. 2025, vol.37, n.3, pp.236-261.  Epub 20-Feb-2026. ISSN 2448-8089.  https://doi.org/10.24844/em3703.09.

This article reports part of the results of a study conducted with students of the Primary Education Degree, focused on the processes of independent adaptation within the framework of the Theory of Didactic Situations (TDS). The study focused on the design and organization of a didactic situation aimed at fostering the autonomy of preservice teachers, as well as on the analysis of the interactions between them and the designed milieu. The methodology included an a priori analysis of the situation, based on conditions derived from the TDS, and an a posteriori analysis of the resolution strategies deployed by the participants. Among the findings, the transition from drawings to schemes interpreted as "proofs" in the sense of Eschenburg (2022), stands out as a crucial point in the evolution of the situation. Likewise, it is concluded that the conditions established in the a priori analysis from the TDS were crucial for the design of the didactic situation, since they guided the possibilities of independent adaptation and framed the emergence of resolution strategies.

Palabras llave : Theory of Didactic Situations; teacher education; geometry; indepen-dent adaptation; mathematical representations.

        · resumen en Español     · texto en Español     · Español ( pdf )