This paper outlines an initiative in mathematics education research that aims to augment qualitative methods of research into mathematical cognition and learning with quantitative methods of psychometrics and psychophysiology. Background and motivation are provided for this initiative, which is coming to be referred to as educational neuroscience.…

This paper charts a cognitive history of the concepts of quantity and quality from three inter-related and inter-dependent perspectives of mathematics, logic, and physics. In so doing, other notions associated with the evolution of these concepts are identified and explicated. It is argued that the concepts of quantity and quality, considered in…