Mathematical Reasoning

Lingua: inglese

Editore: Routledge Jul 1997, 1997

0805819797 / 9780805819793

Serie: Libro 28 di 46 - Studies in Mathematical Thinking and Learning

Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.

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Venditore AbeBooks dal 11 gennaio 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly 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, this book 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'--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. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors 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. 394 pp. Englisch.

Codice articolo 9780805819793

Titolo
Mathematical Reasoning
Autore
Lyn D. English
Editore
Routledge Jul 1997
Anno di pubblicazione
1997
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
0805819797
ISBN 13
9780805819793
Peso dell'articolo
569 grammi
Dimensioni
229x152x21 mm
Serie
Libro 28 di 46: Studies in Mathematical Thinking and Learning

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 15 giorni lavorativiDa 5 a 15 giorni lavorativi
Primo articoloEUR 23,00EUR 23,00
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BuchWeltWeit Ludwig Meier e.K.

Germania