The concept of pattern recognition lies at the heart of numerous deliberations concerned with new mathematics curricula, because it is strongly linked to improved generalised thinking. However none of these discussions has made the deceptive nature of patterns an object of exploration and understanding. Yet there is evidence showing that pattern…

In this paper, we focus specifically on Vygotsky's theory of concept formation to gain initial insights into seemingly garbled and incoherent connections we observed in learners' responses to a geometry task. While acknowledging research that is supportive of the van Hiele model as being useful when analysing concept formation in geometry, in this…

Learner acquisition of higher order cognitive skills and processes in mathematics is at the centre of many current curriculum reforms the world over. Although literature suggests that high-level cognitive processes require emphasis on reasoning about and connecting ideas, in South Africa one of the biggest challenges has been to develop tools that…