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Mathematics and the Body: Material Entanglements in the Classroom [Kõva köide]

(Simon Fraser University, British Columbia), (Adelphi University, Garden City, New York)
  • Formaat: Hardback, 284 pages, kõrgus x laius x paksus: 235x157x19 mm, kaal: 510 g, 2 Tables, unspecified; 27 Halftones, unspecified; 38 Line drawings, unspecified
  • Sari: Learning in Doing: Social, Cognitive and Computational Perspectives
  • Ilmumisaeg: 02-Jun-2014
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107039487
  • ISBN-13: 9781107039483
Teised raamatud teemal:
  • Formaat: Hardback, 284 pages, kõrgus x laius x paksus: 235x157x19 mm, kaal: 510 g, 2 Tables, unspecified; 27 Halftones, unspecified; 38 Line drawings, unspecified
  • Sari: Learning in Doing: Social, Cognitive and Computational Perspectives
  • Ilmumisaeg: 02-Jun-2014
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107039487
  • ISBN-13: 9781107039483
Teised raamatud teemal:
This book explores alternative ways to consider the relationship between mathematics and the material world. Drawing on the philosophy of Gilles Châtelet and the post-humanist materialism of Karen Barad, the authors present an 'inclusive materialist' approach to studying mathematics education. This approach offers a fresh perspective on human and nonhuman bodies, challenging current assumptions about the role of the senses, language, and ability in teaching and learning mathematics. Each chapter provides empirical examples from the classroom that demonstrate how inclusive materialism can be applied to a wide range of concerns in the field. The authors analyze recent studies on students' gestures, expressions, and drawings in order to establish a link between mathematical activity and mathematical concepts. Mathematics and the Body expands the landscape of research in mathematics education and will be an essential resource for teachers, students, and researchers alike.

Arvustused

'This book is a fabulous and timely contribution. It is a much-needed and radical critique of current embodied approaches within mathematics education, arguing that such approaches have, in large part, retained the very splits (inner/outer, individual/social) that they hoped to overcome. The scholarship is excellent and the writing is clear and concise.' Alf Coles, University of Bristol 'This book is challenging and bracingly intellectual, in a field that has not always been so orientated. But it is not only theoretical and sophisticated about its ideas; it is also intellectual and academic in the best sense about practical contexts of mathematics schooling and what I might term 'everyday' phenomena of educational interest.' David Pimm, University of Alberta 'The sense of timing for this work is finely tuned, because some of us have been thinking that too often in mathematics education, in particular, we have been asking the wrong questions in the wrong way. The authors' response is through a different 'conceptual space'. Rather than invoking a sociocultural, linguistic, or sociopolitical turn, the authors' specific approach is to explore the 'material'. It is an approach that invites dialogue from which new knowledge can be built.' Margaret Walshaw, Massey University

Muu info

Short-listed for Innovations in Curriculum Studies, Division B Outstanding Book Award, American Educational Research Association 2015.This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.
List of Figures
ix
Series Foreword xi
Foreword xiii
Brian Rotman
Acknowledgements xix
Introduction 1(13)
Outline of the book
5(7)
Synopsis
12(2)
1 When does a body become a body?
14(24)
Theories of embodiment
16(6)
Material phenomenology and post-humanism
22(4)
Objects, quasi-objects and agency
26(6)
Assemblages and processes of becoming
32(6)
2 The 'ontological turn' of inclusive materialism
38(24)
New materialisms
38(5)
Towards a relational ontology
43(7)
The pedagogy of the concept
50(7)
How mathematical assemblages come to matter
57(5)
3 Diagrams, gestures, movement
62(24)
On gestures and diagrams
63(5)
Mobile mathematics
68(5)
A diagramming experiment
73(9)
Inventive diagramming in the classroom
82(2)
Diagrams and the exteriority of thought
84(2)
4 Inventiveness in the mathematics classroom
86(25)
Creative acts and materiality
87(3)
Digital technologies, mathematics and impulse
90(2)
When do two lines intersect?
92(4)
Creating a new space for potential intersection
96(3)
What kind of motion makes a vertical line?
99(8)
Mobility and potentiality
107(4)
5 Materialist approaches to mathematics classroom discourse
111(29)
The materiality of language
112(5)
Word assemblage
117(10)
The human voice
127(13)
6 The sensory politics of the body mathematical
140(32)
Mathematics, the senses and intuition
141(6)
Mathematics education and the sensory organs
147(9)
Rethinking perception and sensation
156(3)
The sensory politics of (dis)ability in mathematics
159(6)
Reconfiguring the human body
165(7)
7 Mapping the cultural formation of the mathematical aesthetic
172(28)
Classroom consensus and dissensus
173(3)
A political aesthetics
176(4)
The mathematician's sensibility
180(10)
New standards of curricular consensus
190(10)
8 The virtuality of mathematical concepts
200(25)
Bridging the mathematical and physical worlds
201(12)
Curriculum mapping of concepts
213(12)
Conclusion 225(8)
Bibliography 233(24)
Author Index 257(2)
Subject Index 259
Elizabeth de Freitas is an associate professor at the Ruth S. Ammon School of Education at Adelphi University. She is the co-editor of Opening the Research Text: Critical Insights and In(ter)ventions into Mathematics Education (2008) and an associate editor of the journal Educational Studies in Mathematics. Nathalie Sinclair is an associate professor in the Faculty of Education, an associate member in the Department of Mathematics and a Canada Research Chair in Tangible Mathematics Learning at Simon Fraser University. She is also an associate editor of For the Learning of Mathematics. She is the author of Mathematics and Beauty: Aesthetic Approaches to Teaching Children (2006) and Developing Essential Understanding of Geometry for Teaching Mathematics (2012), among other books.