Abstract

AZNAR, María-Andrea; DISTEFANO, María-Laura; MOLER, Emilce  and  PESA, Marta. A didactic sequence to improve the conversion of semiotic representations of curves and regions of the complex plane. Uniciencia [online]. 2018, vol.32, n.1, pp.46-67. ISSN 2215-3470.  http://dx.doi.org/10.15359/ru.32-1.4.

In this paper, a didactic sequence and the results of its implementation are described. The sequence is oriented to improve the skill to carry out conversions of representations of curves and regions of the complex plane, from the graphic register to the algebraic register. Conversion variables are presented in detail. These variables regulate the levels of complexity in these cognitive activities and determine the structure of the didactic sequence presented. This sequence was implemented with a group of students of first course of Algebra at the Facultad de Ingeniería de la Universidad Nacional de Mar del Plata (Faculty of Engineering, National University of Mar del Plata), Argentina. The impact of the didactic intervention was evaluated, and satisfactory results were obtained, not only on the conversions to which it specifically sought to contribute, but also on mathematical practices that require other semiotic activities related to representations of complex numbers in the two registries considered.

Keywords : convertion of semiotic representations; didactic sequence; complex numbers.

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