Strategies for Affecting the Necessary Course of Cognitive Growth as an Integral Part of Curricular and Instructional Planning

This paper explores the public awareness that there presently exists a crisis in mathematics education and a "dumbing down" of the curriculum, examines the nature of this crisis and argues that there has been a lowering of cultural, pedagogical and cognitive expectations with respect to most learners. The notion of cognitive development in mathematics education is re-examined and a model of how the concepts of learners can be transformed in the very process of engaging with the conceptual revolutions that defined geometry is proposed. The importance of cultivating a meta-narrative in support of metacognition and the development of cognitive growth are stressed.