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    High School Students' Mathematical Work on Rate of Change Tasks by Using GeoGebra
    (Universidad de Granada, Grupo de Investigacion Didactica de la Matematica, 2023-01-01)
    From the Mathematical Didactics’ viewpoint about teaching Calculus, this paper aims to characterize the knowledge and mathematical work that emerges when high school students solve tasks about the rate of change mediated by GeoGebra. Based on the theory of Mathematical Working Spaces, we analyze the mathematical production of Chilean students (1617 years old) and conclude that making sense of the change rate starts from a work based on algorithmic processes and an interpretation/experimentation approach to the idea of variation and change emphasizing the role of the artefact, being particular to establish proof and demonstration processes.
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    Teachers' mathematical work on quadrilaterals area with digital technology
    (Bastas, 2026-07-01)
    The aim of this paper is to analyze the mathematical work done by teachers when interacting with a GeoGebra application in a task on the area of quadrilaterals. The theoretical framework is focused on the mathematical working space (MWS) theory. The research approach is qualitative, based on a case study. The research subjects are two high school mathematics teachers. Results show that, in the personal MWS of both subjects, iconic visualization and pragmatic proof prevail, and the activation of the semiotic and discursive genesis is largely highlighted. Also, the type of device used has been proven to generate different MWS.