Abstract

MORALES-ROZO, Natalia. Non-Usual Representation Systems in Teacher Training as a Strategy to Understand the Learning Processes of Mathematical Objects. Rev. Fac. Cienc. Tecnol. [online]. 2021, n.50, pp.203-219.  Epub May 11, 2022. ISSN 0121-3814.  https://doi.org/10.17227/ted.num50-12321.

Based on interest of constructing significant academic experiences that favor relationships with the pedagogical, didactic and mathematical knowledge of the future mathematics teacher, this article exhibits features of the mathematical activity involved in the task of drawing graphs of functions in a non-usual representation system, in which the axes are two parallel lines. This task encourages future teachers to reflect about the teaching-learning processes of school mathematics, the construction of didactic knowledge of mathematical content, and the study of mathematical knowledge to be taught. This activity is intended to: generate a new learning environment, which emulates some conditions that occur in basic or secondary education around the study of first-grade polynomial functions and their representation in the Cartesian plane, without ignoring the knowledge of the nature didactic and mathematical that are already part of the professional knowledge of future teachers. In addition, position the future teacher in the role of student in order to be aware of the importance of recognizing the learning processes and the student agent, for the design of teaching processes, to finally promote a discussion in the academic community of teacher educators on the mathematics that should be taught, in response to the demands of education sector, which will be the field of action of future teachers.

Keywords : function; mathematical activity; mathematics teacher training; mathematics teaching-learning.

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