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This paper analyses the role of Computer Algebra Systems (CAS) in a model of learning based on competences. The proposal is an e-learning model Linear Algebra course for Engineering, which includes the use of a CAS (Maxima) and focuses on problem solving. A reference model has been taken from the Spanish Open University. The proper use of CAS is defined as an indicator of the generic competence: Use of Technology. Additionally, we show that using CAS could help to enhance the following generic competences: Self Learning, Planning and Organization, Communication and Writing, Mathematical and Technical Writing, Information Management and Critical Thinking. A follow-up at several stages of the resolution of a problem-example shall be performed; analysing each contribution of Maxima to the competences' acquisition. The problem-example concerns an electronic device for a building surveillance system, with different possibilities according to the number of sides of the building and other parameters. (Contains 3 figures.)

In recent years, a considerable number of teachers in Spain have been using DERIVE to teach math subjects in High Schools and Universities. This software has been used by the authors of this work as a support tool in Mathematics courses for Engineering. Since Texas Instruments does not support DERIVE, we were faced with finding an alternative software product, and considering the possibility of using a public-domain software such as MAXIMA. Here we make a comparative study of DERIVE and MAXIMA as support tools for a Calculus course for first year Engineering students. First we have a brief look at the use of both systems in Spain and our experience with them. Then, we make a comparative study of DERIVE and MAXIMA, following a specific protocol based on a Systemic Model of Software Quality. Finally, we perform a quantitative evaluation and we conclude that MAXIMA can be used to carry out learning activities similar to those that we have been doing with DERIVE. (Contains 6 figures and 3 tables.)

In this article the main characteristics of the dMath project are introduced. With the mathematical modules developed within this project a new tool is made available to the different users as a support of the teaching and learning of mathematics in the context of EHEA and of the Bologna declaration. (Contains 7 figures.)