Publication
Proof Granularity as an Empirical Problem?
Marvin Schiller; Christoph Benzmüller
In: CSEDU 2009: 1st International Conference on Computer Supported Education. International Conference on Computer Supported Education (CSEDU-09), March 23-26, Lisboa, Portugal, INSTICC Press, 2009.
Abstract
Even in introductory textbooks on mathematical proof, intermediate proof steps are generally skipped when
this seems appropriate. This gives rise to different granularities of proofs, depending on the intended audience
and the context in which the proof is presented. We have developed a mechanism to classify whether proof
steps of different sizes are appropriate in a tutoring context. The necessary knowledge is learnt from expert
tutors via standard machine learning techniques from annotated examples. We discuss the ongoing evaluation
of our approach via empirical studies.