Abstract
MathIS is a new project that aims to reinvigorate secondary-school mathematics by exploiting insights of the dynamics of algorithmic problem solving. This paper describes the main ideas that underpin the project. In summary, we propose a central role for formal logic, the development of a calculational style of reasoning, the emphasis on the algorithmic nature of mathematics, and the promotion of self-discovery by the students. These ideas are discussed and the case is made, through a number of examples that show the teaching style that we want to introduce, for their relevance in shaping mathematics training for the years to come. In our opinion, the education of software engineers that work effectively with formal methods and mathematical abstractions should start before university and would benefit from the ideas discussed here.
History
- 27 November 2009: uploaded the slides of my talk in Eindhoven
- 2 August 2009: uploaded the camera-ready version of the paper
- 10 July 2009: notification of acceptance
- 26 June 2009: uploaded the paper to this website
- 5 June 2009: submitted the paper to publication
Alexandra Mendes
Assistant Professor
My research focuses on innovative user interfaces for formal methods and mathematical approaches to software quality. More recently, I started work on usable security, in particular on the impact of formal verification on the use and adoption of formally verified security software product. Much of my most recent work overlaps with the area of software engineering. I am also interested on innovative and fun ways to teach Computer Science. For more details, see selected publications and some of my projects. Follow me on Twitter or add me on LinkedIn.