An embodied view of mathematical cognition should account not only for how we use our bodies to think and communicate mathematically but also how our bodies equip us to conceive of mathematical ideas. Research in cognitive semantics claims that the human conceptual capacity rests on a foundation of image schemas: topological patterns of spatial…

Introduction: In the present study we used a metaphorical representation in order to stimulate the numerical competences of six-year-olds. It was expected that when properties of physical action are used for mathematical thinking or when abstract mathematical thinking is grounded in sensorimotor processes, learning gains should be more pronounced…

The treatment of errors in mathematics classrooms has gained attention in recent years, with many researchers suggesting that errors should be used as starting points for student inquiry into mathematics. In the study reported in this article, we examined how teachers used discourse around errors to generate inquiry by looking at the treatment of…