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Item type:Publication, Covariational Reasoning and Instrumented Techniques in the Resolution of an Optimization Problem Mediated by GeoGebra(Hipatia Editorial, 2023-02-01)The aim of this study was to document how different instrumental techniques are related to different mental actions during the work of university students in an optimization activity mediated by GeoGebra. To minimize the length of the fence of a rectangular plot, the students put into play mental actions, which were visible in the manipulations with GeoGebra, associated with different levels of covariational reasoning, and which allowed us to identify different instrumented techniques. It is concluded that the use of instrumented techniques involving concepts related to the derivative, such as the slope of the tangent line or the derivative function, make visible behaviors associated with mental actions of a more sophisticated covariational reasoning. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Affine Function and Its Characteristics Approached Through Bee Animated Scenario in GeoGebra(Universidad de Granada, Grupo de Investigacion Didactica de la Matematica, 2023-01-01)This theoretical paper aims at discussing affine function characteristics through building an animated scenario elaborated in GeoGebra from elements of Instrumental Approach (IA). IA is used to reveal digital technology potential for mathematics learning. Findings indicate that through techniques used and operative invariants of considered schemes is possible envision affine function characteristics when using these mathematical elements to build the animated scenario. Therefore, IA elements helped to highlight affine function characteristics when building the bee animated scenario in GeoGebra.