Problem description and solution examples

Problem Description

  • 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?"

Example Solution

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).