This article reviews some key ideas about the nature of proof, kinds of proofs, and the way of reasoning called proving. This provides background for a discussion of the teaching of proof, in which some important aspects of teaching that support students' proving are described, and the ideas of a tool-box of accepted premises and local…

Student participation in real-world problems promotes "a sense of their own agency andcollective capacity to alter their neighbourhoods or communities for the better" (Smith, 2007).This paper describes student engagement in a two-week summer workshop conducted in June2016, where they used geospatial technologies and community mapping to…

This paper reports on the use of lesson study as a professional development tool. In particular the paper focuses on the way in which the teachers increased their understanding of how tasks, classroom activity and teacher actions scaffolded student learning of early algebraic reasoning of equivalence and the commutative principle. Teacher voice is…