Designing Learning Environments for Developing Understanding of Geometry and Space

<p>This volume reflects an appreciation of the interactive roles of subject matter teacher student and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted the book is organized to highlight first the editors' vision of a general geometry education; second the development of student thinking in everyday and classroom contexts; and third the role of technologies.<br><br>Rather than looking to high school geometry as the locus--and all too often the apex--of geometric reasoning the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling structure and design and reinvigoration of traditional topics such as measure dimension and form. Further the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks.<br><br>This volume is essential reading for those involved in mathematics education at all levels including university faculty researchers and graduate students.</p>