Design and evaluation of a case-based system for modelling exploratory learning behaviour of math generalisation

摘要

Exploratory learning environments (ELEs) promote a view of learning that encourages students to construct and/or exploreudmodels and observe the effects of modifying their parameters. The freedom given to learners in this exploration context leads to audvariety of learner approaches for constructing models and makes modelling of learner behaviour a challenging task. To address thisudissue, we propose a learner modelling mechanism for monitoring learners’ actions when constructing/exploring models by modellingudsequences of actions reflecting different strategies in solving a task. This is based on a modified version of case-based reasoning forudproblems with multiple solutions. In our formulation, approaches to explore the task are represented as sequences of simple casesudlinked by temporal and dependency relations, which are mapped to the learners’ behaviour in the system by means of appropriateudsimilarity metrics. This paper presents the development and validation of the modelling mechanism. The model was validated in theudcontext of an ELE for mathematical generalisation using data from classroom sessions and pedagogically-driven learning scenarios.