Neuroscience in algebraic problem solvingStudying the reversal error

Résumé

This thesis has provided society with knowledge of one of the most common errors when carrying out mathematical problem solving, such as the reversal error (RE). In addition, there have been contributions in three main fields: neuroscience and mathematics didactics (known as mathematical neuroeducation) and statistics. In the field of mathematical neuroeducation, this thesis improves the knowledge about RE. It is the first work to use magnetic resonance imaging to study brain processes during RE tasks. In the field of mathematics, new classification methodologies have been proposed, which can be applied both to neuroeducational problems and to other fields. Furthemore, it has been seen that brain areas are good biomarkers for classification. In addition, methodologies have been proposed for nominal and ordinal classification.