Resumo

TREJO MARTINEZ, Manuel; FERRARI ESCOLA, Marcela  e  MARTINEZ SIERRA, Gustavo. Logarithmic-exponential covariational in future mathematics teachers. A case study. Educ. mat. [online]. 2021, vol.33, n.1, pp.41-70.  Epub 06-Dez-2021. ISSN 2448-8089.  https://doi.org/10.24844/em3301.02.

The present study contributes to the body of research about the development of covariational reasoning in future mathematics teachers. We report the mental actions and levels of logarithmic-exponential covariational reasoning perceived in sixth semester undergraduate students in mathematics during a teaching experiment developed by a future mathematics teacher who is immersed in a research project. The tasks of the teaching experiment begin with a geometric construction of points of a curve using GeoGebra for students to explore the variations and describe the curve that adjusts the points. The students determine a general expression for the construction of any point by recognizing the two progressions: arithmetic and geometric. However, they show the complexity of developing a continuous covariation reasoning from a task that encourages discrete covariation reasoning.

Palavras-chave : Covariational reasoning; teaching experiment; Dynamic Geometric; Geometric construction..

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