Overview

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters.  Among the topics included:          From intuitive spatialmeasurement to understanding of units.          Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit.          What processes underlie the relation between spatial skill and mathematics?          Learning with and from drawing in early years geometry.          Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.

Full Product Details

Author:   Kelly S. Mix ,  Michael T. Battista
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2018
Weight:   0.758kg
ISBN:  

9783319987668

ISBN 10:   3319987666
Pages:   378
Publication Date:   18 December 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

Section I: Psychological Perspectives.- How much as Compared to What: Relative Magnitude as a Key Idea in Mathematics Cognition.- From Intuitive Spatial Measurement to Understanding of Units.- Spatial Reasoning: A Critical Problem-Solving Tool in Children’s Mathematics Strategy Tool-Kit.- More space, better math: Is space a powerful tool or a cornerstone for understanding arithmetic?.- What processes underlie the relation between spatial skill and mathematics?.-  Section I Commentaries.- Section II: Educational Perspectives.- The Interaction Between Spatial Processes and Mathematical Reasoning and Concepts in Pre-Proof Geometry.- Learning with and from drawing in early years geometry.- The interaction between spatial reasoning constructs and mathematics understandings in elementary classrooms.- Visualization in Secondary School Geometry.- Communication of visual information and complexity of reasoning by mathematically talented students.- Section II Commentaries.  

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Author Information

Kelly S. Mix, Ph.D., is Professor and Chair of the Department of Human Development and Quantitative Methods at the University of Maryland.  A former elementary school teacher with a specialization in mathematics teaching and learning, she received her Ph.D. in Developmental Psychology from the University of Chicago in 1995. Michael T. Battista is EHE Distinguished Professor of Mathematics Education at The Ohio State University.  He earned a B.S. degree in mathematics from Kent State University in 1971, an M.S. degree in mathematics from Purdue University in 1973, and a Ph.D. degree in mathematics education from Purdue University in 1977.  

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