Speaker Name(s): Walter Whiteley, B.Sc, PhD Description: Drawing on over three decades of work in Discrete Applied Geometry, as well as a decade of geometry courses for teachers, we offer some proposals for the teaching and learning of mathematics in general, and geometry education in particular. A growing body of research, including fMRI studies of people ‘doing mathematics’ and of curriculum development, including supportive technology, is addressing our key theme. The theme is the crucial importance of spatial abilities and visual reasoning in the learning, application and development of mathematics. We will illustrate these ideas, with some key examples from inside and outside mathematics, as well as the learnability of the required mathematical habits of mind. In the context of recent debates about the Mathematics curriculum in Ontario, I will offer some proposals to reshape our goals for the learning of geometry, as well as the paths we take across the rich learning landscape of geometry, and the tools that can support this.