Digital Technology in Higher Education: Identification of Surfaces in Space Generated by Functions of Two Variables

Vivas-Pachas J.L.; Trujillo E.C.J.; Salazar J.V.F.; Saravia-Molina N. · Smart Innovation, Systems and Technologies (2023) · DOI: 10.1007/978-981-99-5414-8_53

Resumen

This forms part of a research project to characterize the mathematical work performed by higher education students in developing a didactic sequence, through digital technology, in which they mobilize the concept of surfaces in space. One task proposed in the didactic sequence is presented that is constituted by a GeoGebra applet that allows the graphic representation of different surfaces to be obtained, including planes, cylinders, and quadrics (elliptic and hyperbolic paraboloids) from the manipulation of the parameters of a real function of two variables. The expected results of the task are analyzed in the context of theory of the Mathematical Working Space (MWS) to demonstrate how the use of a digital artifact promotes the execution of semiotic, instrumental, and discursive processes that are present in the student’s mathematical work. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023.

Instituciones: Pontificia Universidad Católica del Perú; Universidad San Ignacio de Loyola; Universidad de Lima