Resumen de A framework for mathematical thinking: the case of linear algebra

Sepideh Stewart, Michael O. J. Thomas

• This article discusses a variety of examples in errors in mathematical reasoning, the source of which is due to the tension between the syntax (form of mathematical expression) and semantics (underlying ideas or meaning). This article suggests that the heightened awareness of syntactic and semantic reasoning, and the consequent resolution of the tension and errors in particular cases, may lead to enhanced mathematics learning outcomes, robustness and creativity.