Abstract

AMAYA DE ARMAS, Tulio R.; PINO-FAN, Luis R.  and  MEDINA RIVILLA, Antonio. Evaluation of the Knowledge of Future Teachers of Mathematics about the Transformation of the Representations of a Function. Educ. mat. [online]. 2016, vol.28, n.3, pp.111-144.  Epub Apr 08, 2022. ISSN 2448-8089.  https://doi.org/10.24844/em2803.05.

In this paper the mathematical dimension of the Didactical-Mathematical Knowledge of the future teachers of mathematics is analyzed when they transform the representations of a function. A questionnaire was applied to 90 future teachers who were distributed in three groups. The homogeneity of the answers per group is analyzed, and the primary mathematical objects and the present process in the mathematics practices they develop trough their answers are characterized. The results show serious difficulties of the future teachers with some function topics, such as: indetifying and using their intercepts without a graphical support; analyzing their extreme values and growth ranges; making a mathematical model or a graphical draft; indetifying the slope of a linear function. The primary mathematical objects and present processes in the practices that the prospective teachers develop are very similar, in spite of the difference in the number of hours od instruction in each of three gropus.

Keywords : future teachers; function; semiotic representations; mathematical practices.

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