This article deals with two prominent topics in the field of mathematics education: the communication in mathematics and its teaching and learning and the continuous professional development of mathematics teachers. In this article, a framework is proposed for analysing the effectiveness of communication in mathematics classrooms. The presentation…

This paper contains a discussion of how the concept of critical aspects and the principle of compositionality can provide a powerful tool to analyse and understand the communications that occur in the classroom. It is grounded in data collected in a longitudinal study. The content chosen is algebra. It is argued that the critical aspects and the…

This article forms part of a larger study aimed at supporting teachers in understanding their practice and improving it. Students' tests, an examination of students' mathematical work, teachers' lessons plans and reports of the lessons' instructions are the base data for this article. The analysis indicated that the teachers were unable to…