Graded Troubleshooting (GTS) is a powerful routine that teachers can use easily to engender students' metacognitive thinking and boost their understanding of mathematics concepts and procedures. This article describes a new GTS activity designed to prompt students to efficiently exploit worked examples when asked to diagnose erroneous examples…

Since the publication of Pedagogy of the Oppressed, Paulo Freire has been important for disseminating the concept of dialogue in education. Dialogue is often framed as the kind of interaction that educators should enact in their practice, to right historical and socio-political wrongs. With this, speaking and assuming one's voice has a special…

Due to the nature of the teaching environment, students may often develop perceptions of their lecturers' ability as mathematicians, based on the pre-prepared and well-rehearsed content they present. In reality, performing mathematical calculations and solving problems is a difficult skill, and students may compare their own experiences…