The most common distinction within research in metacognition, is between metacognitive knowledge and metacognitive skill. This distinction leads to a teaching dilemma: which aspect to prioritise? As part of an enactivist study, I analyse the development of student metacognition in one teacher's mathematics classroom. While it is possible…

Mathematics has long assumed a central place in the curriculum, but its warrant is under scrutiny. Both social demands and psychological assumptions have changed; the core purpose of education is deeply contested, powerful new models of teaching and learning are being proposed, and mathematics is in need of a new rationale. This article reflects…

Discusses the use of investigations in primary mathematics through an analysis of a beginning teacher's writings about the topic. Presents ideas on how to encourage teachers to use this method of teaching. (MKR)

The need to define what concepts are is viewed as a necessary first step in shifting the teaching focus from skills. A call for the development of conceptual instruction that unites separate strands of research is made, and a seven-step plan is suggested. (MP)

Illustrates the complexities of secondary mathematics teaching and learning in contemporary multilingual classrooms. Shows how and why the language of dilemmas provides a powerful explanatory and analytic tool as well as a source of praxis in mathematics education in a changing educational and political context. Contains 21 references. (ASK)

Observations focusing on classroom discourse, uses of graphing calculators, nature of instructional tasks, and instructor-questioning patterns in a high school algebra course found that the teacher modified his teaching strategies and curriculum to accommodate the teaching strategies and topics that arose from the use of the graphing calculator.…

The need for improving the dialog between teacher and student is promoted as an important step towards improving the mathematics curriculum. (MP)

This article arises from a broader study that investigates the benefits and forms of mathematical writing and written texts produced by twelve- to thirteen-year-old students in grade seven classes in six junior high schools in KwaZulu-Natal, particularly in the context of major curriculum changes within South Africa, These recent changes in…