There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and…

This book is the result of the accumulated research of five researchers from the United States and Australia on a school in Coastal Australia. The research team shared a constructivist epistemology and interpreted the qualitative and quantitative data collected over a 10-week period in two classrooms from that perspective. Each chapter discusses…