One of the earlier, more challenging concepts in linear algebra at university is that of basis. Students are often taught procedurally how to find a basis for a subspace using matrix manipulation, but may struggle with understanding the construct of basis, making further progress harder. We believe one reason for this is because students have…

This paper outlines a conceptual map that allows new academic staff in universities to see the relationship of teaching and learning within a context wider than their individual specialisations. These wider contexts include the institutional context and its sub-contexts, as well as local, national and international contexts. Examples are given to…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…