The 2002 'glonacal' paper described higher education as a multi-scalar sector where individual and institutional agents have open possibilities and causation flows from any of the interacting local, national and global scales. None have permanent primacy: global activity is growing; the nation-state is crucial in policy, regulation and funding; and like the other scales, the local scale in higher education and knowledge is continually being remade and newly invented. The glonacal paper has been widely used in higher education studies, though single-scale nation-bound methods still have a strong hold. Drawing on insights from human geography and selected empirical studies, the present paper builds on the glonacal paper in a larger theorization of space and scale. It describes how material elements, imagination and social practices interact in making space, which is the sphere of social relations; it discusses multiplicity in higher education space and sameness/different tensions; and it takes further the investigation of one kind of constructed space in higher education, its heterogenous scales (national, local, regional, global etc.). The paper reviews the intersections between scales, especially between national and global, the ever-changing ordering of scales, and how agents in higher education mix and match scales. It also critiques ideas of fixed scalar primacy such as methodological nationalism and methodological globalism--influential in studies of higher education but radically limiting of what can be imagined and practised. Ideas matter. The single-scale visions and scale-driven universals must be cleared away to bring a fuller geography of higher education to life.