0000000000993885
AUTHOR
Miriam Ortega
Using Modelling and Tablets in the Classroom to Learn Quadratic Functions
In this chapter, we present teaching material to work with a quadratic function and the meaning of its parameters through the mathematical modelling of a real-life phenomenon: the relation between the time and the height of a ball during a complete vertical rebound and fall. The teaching material uses electronic tablets to collect and process real data in the classroom. After analysing a year 11 implementation, we note that a qualitative analysis of the phenomenon and the families of functions and the students’ prior knowledge about these functions are key elements to manage and control the modelling process, especially, to choose the model and to interpret the results in terms of the pheno…
Learning the concept of family of functions through the modelling process using tablets
International audience; In this study, we present a teaching situation to work on the modelling process using real data taken in classroom with tablets. The situation allowed us to work on the concept of the quadratic function with a group of 11th grade students and take into account the hypothesis that the qualitative analysis of the phenomenon, the knowledge of the qualitative properties of the families of functions and the meaning of the parameters are crucial elements for the management and control of the modelling process. We observed they are key elements to choose the function used as a model and to check its adequacy throughout the modelling process. Some student's conceptions on he…
The Influence of Technology on the Mathematical Modelling of Physical Phenomena
A study is presented in which students are asked to model two physical phenomena using applications on electronic tablets : a bounce of a ball and the extension of a spring. The analysis focusses on (a) the influence of characteristics of the applications on the tablets on the decisions that groups of 16-year-old students made during the modelling phases in which reality and mathematics are related, (b) mathematisation of the phenomena and (c) interpretation of the models. The phenomena were recorded using an app that requests users establish a set of references during the mathematisation process, which makes students focus on the way the references have been set to interpret the model prop…