Which Mathematics for the Information Society?

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.

Publication
In 2nd Int. FME Conference on Teaching Formal Methods (TFM) 2009

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
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Alexandra Mendes
Assistant Professor

My research focuses on innovative user interfaces for formal methods and mathematical approaches to software quality. 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.