Proposes to base research on a metaphor of thinking-as-communicating. Mathematical discourse is made special by two main factors: (a) exceptional reliance on symbolic artifacts as communication-mediating tools; and (b) particular meta-rules that regulate this type of communication. There is a better chance of accounting for some of the phenomena…

Reports on a 3-year study of patterns of student-student social interaction that mediated metacognitive activity in senior secondary school mathematics classrooms. Unsuccessful problem solving was characterized by students' poor metacognitive decisions exacerbated by lack of critical engagement with each other's thinking while successful outcomes…

Investigates the differential effects of cooperative learning with or without metacognitive instruction on lower and higher achievers' solutions of mathematical authentic tasks. Results indicate that students exposed to metacognitive instruction within cooperative learning (COOP+META) significantly outperformed their counterparts exposed to…

The focus is on the metacognitive awareness of ten high-achieving high school pupils in mathematics in Denmark and England and their understanding of their cognitive learning processes and strategies. Mainly unstructured focus group interviews investigate how they explain that they learn a mathematical concept that is new to them. I develop the…