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How we reason with mathematical ideas continues to be a fascinating and challenging topic of research-particulary with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning.Drawing upon the interdisciplinary nature of cognitive science, Mathematical Reasoning: Analogies, Metaphors, and Images presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied," to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment: these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"-which indude analogy, metaphor, metonymy, and imagery-play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition.This book is an attempt to fill this void. The chapter authors, drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g.. analogy and metaphor), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.

...e scholars. Analogies, metaphors, and images: vehicles for mathematical reasoning / Lyn D ... Mathematical reasoning : analogies, metaphors, and images ... . English --Metaphorical structure of mathematics: sketching out cognitive foundations for a mind-based mathematics / George Lakoff and Rafael E. Nunez --How students think: the role of representations / Robert B. Davis and Carolyn A. Maher --Analogical reasoning and ... Mathematical Reasoning: Analogies, Metaphors, and Images (Studies in Mathematical Thinking and Learning Series) eBook: English, Lyn D.: Amazon.co.uk: Kindle Store Mathematical Reasoning: Analogies, Metaphors, and Images (S ... Amazon.fr - Mathematical Reasoning: Analogies, Metaphors ... ... .: Amazon.co.uk: Kindle Store Mathematical Reasoning: Analogies, Metaphors, and Images (Studies in Mathematical Thinking and Learning Series) (English Edition) eBook: Lyn D. English: Amazon.de: Kindle-Shop Mathematical Reasoning: Analogies, Metaphors, and Images (Studies in Mathematical Thinking and Learning Series) - Kindle edition by English, Lyn D.. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Mathematical Reasoning: Analogies, Metaphors, and Images (Studies in Mathematical Thinking and ... How we reason with mathematical ideas continues to be a fascinating and challenging topic of research-particulary with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple Mathematical Reasoning: Analogies, Metaphors, and Images - Ebook written by Lyn D. English. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Mathematical Reasoning: Analogies, Metaphors, and Images. Book Review Mathematical Reasoning: Analogies, Metaphors, and Images Mathematical Reasoning . Cached. Download Links [www.ams.org] [e-math.ams.org] Save to List; Add to Collection; Correct Errors; Monitor Changes; by Edited Lyn , D. English , Reviewed Dubinsky Summary; Citations; Active Bibliography; Co-citation; Clustered Documents; Version History; BibTeX @MISC{Lyn_bookreview, author ... Mathematical Reasoning: Analogies, Metaphors, and Images Reviewed by Ed Dubinsky Mathematical Reasoning Edited by Lyn D. English Lawrence Erlbaum Associates, Publishers, 1997 384 pages, ISBN -8058-1979-7 This book explores how people think mathe-matically and how they learn to do so. Taken to- gether, the thirteen separate chapters by different authors consider the full range of mathematical ... Reasoning With Images in Mathematical Activity By Grayson H. Wheatley In his 1991 plenary address to the International Group for the Psychology of Mathematics Education, Dreyfus urged mathematicians and mathematics educators to give increased importan...