Modelling and Applications in Mathematics Teaching
Code
10790
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
António Manuel Dias Domingos
Weekly hours
6
Teaching language
Português
Objectives
This course has the overall objective to create a space for discussion, questioning, testing and implementation of several mathematical models. Based on the approach of the several programmatic contents is expected that students are able to:
- Acquire an overview of the modeling process,
- Develop the model concepts and mathematical modeling,
- Learn the basic ideas and techniques in working with trivial linear discrete dynamical systems,
- Develop the ability to adjust linear dynamic systems to problematic situations from reality,
- Develop the ability to model situations of reality, based on the collection of data using (CBL, CBR)
- Contact with the process of construction and operation of mathematical models in science,
- Promote critical analysis of mathematical models involved in various activities of daily life,
- Develop the ability to frame the role of computational tools in the process of building mathematical models of real situations,
- Reflect critically on the potential and problems of carrying out mathematical modeling activities with students.
Prerequisites
Absent
Subject matter
The program of the course includes the following topics:
The process of mathematical modelling
Introduction to the dynamic systems
Modelling in science
Modelling in the society
Computational modelling and tools
Modelling in the teaching of Mathematics
Bibliography
APM (1999). Modelação no ensino da matemática. Calculadora, CBL e CBR. Lisboa: APM.
Domingos, A. (1994). Materiais para a aula de matemática. Funções e modelação. Lisboa: Projecto Pólya, Secção Ciências da Educação da FCT/UNL.
Matos, J. F. (1995). Modelação Matemática. Lisboa: Universidade Aberta.
Matos, J. F., Blum, W., Houston, K., & Carreira, S. (2001). Modelling and mathematics education: ICTMA 9. Chichester: Hoewood Publishing.
Matos, J. F., Carreira, S. P., Santos, M., Amorim, I. (1994). Ferramentas Computacionais na Modelação Matemática. Lisboa: Projecto Modelação no Ensino da Matemática, Departamento de Educação da Faculdade de Ciências da Universidade de Lisboa.
Precatado, A., & Guimarães, H. (2001). Materiais para a aula de matemática. Lisboa: APM.
Silveira, B., Duarte, I., Almiro, J., Cavaleiro, J., Reis, L., e Lagido, M. (2002). Funções no 3º ciclo com tecnologia. Lisboa: APM.