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    Item type:Publication,
    Mathematical work and beyond
    (Springer Nature (Netherlands), 2022-01-01)
      1
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    Item type:Publication,
    Mathematical work in the digital age. Variety of tools and the role of geneses
    (Springer Nature (Netherlands), 2022-01-01)
      1
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    Item type:Publication,
    Study of the Visual Variables of the Elliptic Paraboloid and Their Representations Through Digital Technology
    (Springer Science and Business Media Deutschland GmbH, 2023-01-01)
    This paper aims at studying the visual variables of the elliptic paraboloid oriented at teachers training, a subsequent study based on one research done with architecture undergraduates as subjects. We are interested in reflecting on cognitive and perceptive aspects when treatments and conversions are done in graphic and algebraic representations of such surface by recognizing and interpreting elements from its own graphic representation, which are its visual variables. For this reason, we use an environment of dynamic representations such as GeoGebra, to show the representations of the elliptic paraboloid in different registers of semiotic representation, its visual variables and significant units, in order to finally reflect on the development of the apprehension of the graphic register when teachers training take on a task related to the paraboloid in a representational medium such as GeoGebra for their teaching work.
      6
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    In-service teachers' mathematical work on quadrilaterals and their technological knowledge
    (Modestum Limited, 2025-01-01)
    This article aims to analyze the mathematical work of teachers, associated with their technological knowledge (TK) of quadrilaterals teaching. The research subjects are secondary mathematics teachers. The study uses as a basis the technological pedagogical content knowledge model and the theory of mathematical working spaces. It follows a qualitative research methodology and a case study method. Mathematics teachers interact with digital artifacts to increase their TK in the development of their mathematical work by solving a task on quadrilaterals as their students would. This study presents the analysis of a task involving the construction of a quadrilateral by using GeoGebra. The study revealed that the mathematical work of teachers was favored by developing their TK and their confidence in the use of GeoGebra since using this digital technology implies recognizing the importance of exploring and visualizing representations of mathematical objects.
      5