0000000000677903
AUTHOR
César Gallart
Modelización matemática en la educación secundaria: manual de uso
[EN] One of the main problems that arise when implementing a mathematical modeling task to the secondary classroom is the lack of a detailed description, from the didactic perspective, that helps and guides the in-service teachers in the implementation of this type of activity and that allows them to identify which are the learning objectives being pursued; if this kind of activities t within the oficial curriculum; the type of tasks that allow these objectives to be achieved; how to carry out their evaluation or what methodology to use. In this article we will address all these aspects from the perspective of a classroom experience, detailing each of the phases involved in the implementati…
Análisis de los modelos matemáticos producidos durante la resolución de problemas de Fermi
[EN] In this paper, we present an analysis of written productions of 16 year-old students while solving Estimation Problems involving Big Numbers (EPiBN). This kind of problems is a particular type of Fermi problems and allows us to introduce modelling processes in Secondary school classrooms. Our analysis supports on the characterization of mathematical models developed by students based on the model definition of Lesh and Harel. The results show that, through the analysis of EPiBN resolutions, differentiating aspects can be distinguished between the models produced by students without modelling experience of those produced by students with prior experience, especially in the concepts and …
Design and Implementation of a Tool for Analysing Student Products When They Solve Fermi Problems
In this chapter, we present a tool for analysing the work of secondary-level students from two different schools when they solve a type of Fermi problem. The tool is based on the characterisation of the concepts, procedures and language used to construct the models. Our results show that the proposed tool is useful to describe the models and to distinguish different aspects between the models produced by students without any previous modelling experience and those obtained by students who were already acquainted with working on modelling activities.