This study examines the origins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, though pre-geometric, are not without model objects that denote and come to anchor geometric idealities that they will understand at later points in their lives. Roth's analyses…

This book seeks to improve the way science is taught in the elementary school. It suggests that there are three main contradictions that make it difficult for teachers and students to engage in meaningful activities from which understandings result. The central issues in this book are framed in terms of three dichotomies that lead to tensions…