Adapting mathematical domain reasoners

  • Authors:

  • Bastiaan Heeren;Johan Jeuring

  • Affiliations:

  • School of Computer Science, Open Universiteit Nederland, Heerlen, The Netherlands;School of Computer Science, Open Universiteit Nederland, Heerlen, The Netherlands and Department of Information and Computing Sciences, Universiteit Utrecht

  • Venue:
  • AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
  • Year:
  • 2010

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Abstract

Mathematical learning environments help students in mastering mathematical knowledge. Mature environments typically offer thousands of interactive exercises. Providing feedback to students solving interactive exercises requires domain reasoners for doing the exercisespecific calculations. Since a domain reasoner has to solve an exercise in the same way a student should solve it, the structure of domain reasoners should follow the layered structure of the mathematical domains. Furthermore, learners, teachers, and environment builders have different requirements for adapting domain reasoners, such as providing more details, disallowing or enforcing certain solutions, and combining multiple mathematical domains in a new domain. In previous work we have shown how domain reasoners for solving interactive exercises can be expressed in terms of rewrite strategies, rewrite rules, and views. This paper shows how users can adapt and configure such domain reasoners to their own needs. This is achieved by enabling users to explicitly communicate the components that are used for solving an exercise.