Abstract

GUTIERREZ A., Rafael E.; PRIETO G., Juan Luis  and  ORTIZ BUITRAGO, José. Mathematization and Mathematical Work in Creating Simulators with GeoGebra. Educ. mat. [online]. 2017, vol.29, n.2, pp.37-68.  Epub Feb 14, 2022. ISSN 2448-8089.  https://doi.org/10.24844/em2902.02.

The article focuses on the modeling processes through which a group of students learn mathematics while participating in a simulation experience with GeoGebra. Specifically, a cognitive perspective is taken to analyze the processes of mathematization and mathematical work carried out by these students when representing a piece that composes the mechanism of a steam engine type Newcomen. This perspective refers to the “modeling cycle” of Blum, Leiβ (2007), specifically regarding the transit through the real model phases, mathematical model and mathematical results. The analysis of the cognitive processes contributed to identify nine episodes that reveal how the students, with the guidance of a teacher, generated a mathematical model useful to represent the piece in the GeoGebra and constructed a dynamic drawing associated with this model. The results obtained account for the existence of types of mathematical models generated in mathematisation, different levels of analysis in mathematical work and characteristics of the role that teachers play in guiding the development of the activity.

Keywords : Mathematical modeling; Creating simulators with GeoGebra; cognitive process; construction tasks; dynamic drawing.