Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, surprisingly little attention has been given to research in learning and teaching number theory per se. This volume is an attempt to redress this matter and to serve as a launch point for further research in this area. Drawing on work from an international group of researchers in mathematics education, this volume is a collection of clinical and classroom-based studies in cognition and instruction on learning and teaching number theory. Although...

This book is one of very few which, address in detail and in-depth, how preservice teachers build important mathematical ideas. A detailed case study of important mathematical learning by five preservice elementary school teachers, who construct powerful mathematical ideas by working through a major influential construction personally.

This book is one of very few which, address in detail and in-depth, how preservice teachers build important mathematical ideas. A detailed case study of important mathematical learning by five preservice elementary school teachers, who construct powerful mathematical ideas by working through a major influential construction personally.