Despite a long intellectual history dating back to the origins of civilization and a recent resurgence as cutting edge mathematics, geometry and spatial visualization in school are often compressed into a caricature of Greek geometry, generally reserved for the second year of high school. The resulting impoverished view of the mathematics of space rebounds throughout schooling to generally diminish student (and adult) understanding of mathematics.

Focuses on the interactive roles of subject matter, teacher, student, and technologies for designing classrooms that promote understanding of geometry and space.

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

This book looks at how teachers implement national math and science standards in their classrooms. A collaboration between Richard Lehrer and Leona Schauble (education researchers) and elementary school teachers, these teacher-authored chapters provide important insights about how children think and reason as they pose questions, collect data, and build data models to answer their questions. While the spotlight is primarily on student understanding and its development over time, the text also highlights teachers' professional development of a specific form of knowledge. Becoming a virtual...

This book provides the education and mathematics education communities - researchers, teachers, teacher educators, and curriculum developers - with examples of children's understanding and learning of mathematical notations, as well as with reflections regarding the role of mathematical notations in children's learning of mathematics.