- University of Hildesheim ›
- Mathematics, Natural Sciences, Economics and Computer Science ›
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- Institute for Mathematics and Applied Informatics ›
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- Applied Informatics ›
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- Prof. Dr. Martin Hennecke ›
- Software Development for Mathematics Lessons ›
- Online Diagnosis in Intelligent Computer-Based Mathematical Training ›
- Problem description and solution examples
Problem description and solution examples
- Given an initial task like adding to fractions (observable),
- the learner applies certain correct or incorrect rules in mind (not observable),
- maybe takes some temporary steps (observable) and
- finally presents an (in-)correct solution (observable)
"Which rules does the learner apply?"
The figure shows some example solution. See below for comment.
- A diagnosis is a sequence of single rules.
- Rules can be correct or incorrect.
- A diagnosis can contain multiple incorrect rules.
- Multiple diagnoses are possible (no unique solution, ranking needed, regarding multiple incorrect tasks).
- A diagnosis does not have to exist (due to unknown rules or a guessed solution).