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E-raamat: Visuospatial Reasoning: An Ecocultural Perspective for Space, Geometry and Measurement Education

  • Formaat: PDF+DRM
  • Sari: Mathematics Education Library 111
  • Ilmumisaeg: 07-Nov-2014
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319024639
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  • Formaat: PDF+DRM
  • Sari: Mathematics Education Library 111
  • Ilmumisaeg: 07-Nov-2014
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319024639

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This book develops the theoretical perspective on visuospatial reasoning in ecocultural contexts, granting insights on how the language, gestures, and representations of different cultures reflect visuospatial reasoning in context.  





For a number of years, two themes in the field of mathematics education have run parallel with each other with only a passing acquaintance.  These two areas are the psychological perspective on visuospatial reasoning and ecocultural perspectives on mathematics education.  This volume examines both areas of research and explores the intersection of these powerful ideas.  

In addition, there has been a growing interest in sociocultural aspects of education and in particular that of Indigenous education in the field of mathematics education.  There has not, however, been a sound analysis of how environmental and cultural contexts impact visuospatial reasoning, although it was noted as far back as the 1980s when Alan Bishop developed his duality of visual processing and interpreting visual information.  This book provides this analysis and in so doing not only articulates new and worthwhile lines of research, but also uncovers and makes real a variety of useful professional approaches in teaching school mathematics.  With a renewed interest in visuospatial reasoning in the mathematics education community, this volume is extremely timely and adds significantly to current literature on the topic.
1 Introduction: Visuospatial Reasoning in Context 1(18)
The Challenge
1(1)
Historical Overview of Relevant Research on Spatial Abilities and Visual Imagery
2(1)
Visuospatial Reasoning and School Test Performance
3(2)
Visuospatial Reasoning in Mathematics Education Research
5(1)
Defining Visuospatial Reasoning
6(3)
Extending the Meaning of Visuospatial Reasoning
9(1)
Visuospatial Reasoning and Geometry
10(1)
Bridging from the Psychological to the Ecocultural Perspective
11(1)
An Ecocultural Perspective on Learning
12(2)
Ecocultural Identity and Mathematical Identity
14(2)
Moving Forward
16(3)
2 Visuospatial Reasoning in Twentieth Century Psychology-Based Studies 19(72)
The Challenge
19(1)
Visuospatial Reasoning and Studies on Spatial Abilities
20(2)
Visuospatial Reasoning from an Information Processing Perspective
22(2)
Studies of Learners with Disabilities
24(2)
Age and Visuospatial Reasoning
26(3)
Visuospatial Reasoning on Different Tasks
29(2)
Personal Approaches to Visuospatial Reasoning
31(2)
Training
33(2)
Key Study on Children's Visuospatial Reasoning
35(5)
Visuospatial Reasoning-Getting Inside Children's Heads
40(19)
Holistic, Concrete, Pictorial Imagery
43(2)
Dynamic Visuospatial Reasoning
45(2)
Visuospatial Action Reasoning
47(4)
Pattern Visuospatial Reasoning
51(6)
Procedural Visuospatial Reasoning
57(2)
Visuospatial Reasoning in Concept Development
59(3)
Visuospatial Reasoning in Problem Solving
62(1)
Visuospatial Reasoning in Learning
63(2)
Visuospatial Reasoning, Metaphor, and Metonomy
65(2)
Context and Visuospatial Reasoning About 3D Shapes
67(5)
School Learning Experiences and 3D Visuospatial Reasoning
72(1)
Visuospatial Reasoning in Context
73(2)
Attention
75(1)
Unlimited Capacity Model of Attention for Action
76(1)
Ecology and Visual Perception
77(1)
Attention and Responsiveness
78(4)
Developing a Theoretical Framework of Visuospatial Reasoning
82(2)
Assessment Tasks
84(3)
Moving Forward
87(4)
3 Changing Perspective: Sociocultural Elaboration 91(24)
The Challenge
91(1)
Local Context
92(2)
An Example of an Ecocultural Practice
94(1)
Values in Education
95(1)
Signification, Meaning, and Becoming
96(3)
A Genetic Approach to Ecocultural Perspectives
99(5)
Visuospatial Reasoning in a Navigating Team's Sociocultural Knowledge
104(2)
Visuospatial Reasoning in Measurement
106(1)
Embodiment of Spatial Knowledge
107(1)
Early Childhood Experiences
107(4)
Critical Perspective of Place
111(3)
Moving Forward
114(1)
4 Place, Culture, Language, and Visuospatial Reasoning 115(26)
The Challenge
115(1)
The Role of Language
116(2)
Cultural Ways of Thinking Reflected in Language
118(2)
Locating, Visuospatial Reasoning, and Communicating
120(2)
Language Patterns in Papua New Guinea
122(1)
Frames of Reference for Space and Place
123(4)
Language in Comparing and Measuring space
127(4)
Implications of Language for Visuospatial Reasoning
131(1)
Maps as Representations of Visuospatial Reasoning
131(5)
Shapes
136(2)
Moving Forward
138(3)
5 Visuospatial Reasoning in Cultural Activities in Papua New Guinea 141(64)
The Challenge
141(2)
Earlier Studies on Spatial Abilities and Visualisation Recognising Ecocultural Contexts
143(16)
Overview of PNG Material Cultures Involving Visuospatial Reasoning
159(8)
Visuospatial Reasoning That Connects Euclidean Geometry and Topology
167(3)
Continuous String Bag: Bilum
170(2)
String Figures
172(3)
Weaving Patterns
175(1)
Tattoos
176(1)
Visuospatial Reasoning with Number
177(3)
The Measurement Study
180(1)
Visuospatial Reasoning About Length
181(1)
Visuospatial Reasoning About Area
182(3)
Visuospatial Reasoning About Volume
185(3)
Visuospatial Reasoning About Three-Dimensional Designs
188(3)
Roofs
189(1)
Bridges
190(1)
The Ecocultural Holistic Context
191(1)
The Importance of Ratio or Multiplicative Thinking in Reasoning
192(1)
Architecture Students' Visuospatial Reasoning
193(1)
Ecocultural Visuospatial Reasoning as Architects
194(5)
Responsiveness During Rich Activity
199(1)
Decision-Making
200(1)
Power, Identity, and Relationships in Architecture
200(1)
Visuospatial Reasoning with an Ecocultural Perspective
201(1)
Moving Forward
202(3)
6 Visuospatial Reasoning in Other Cultures 205(18)
The Challenge
205(1)
Early Studies of Visuospatial Reasoning with an Ecocultural Perspective
206(1)
Navajo Knowledge
206(2)
Pacific Navigation
208(3)
Australian Aboriginal Astronomy
211(1)
Circle Geometry and Straight-Edged Shapes
212(2)
Creative Designs Across the World
214(6)
Settlement Patterns and Shelters: Place, not Just Position
220(2)
Moving Forward
222(1)
7 The Impact of an Ecocultural Perspective of Visuospatial Reasoning on Mathematics Education 223(22)
The Challenge
223(2)
Impact on Mathematics
225(5)
Impact on Understanding Mathematical Learning
230(1)
The Context for the Current School System
231(2)
Impact on Mathematics Education
233(4)
Tacit Knowledge in Visuospatial Reasoning
237(2)
Language and Concepts in Mathematics Education
239(1)
Impact on Mathematical Identity
240(4)
Moving Forward
244(1)
8 The Importance of an Ecocultural Perspective for Indigenous and Transcultural Education 245(30)
Kay Owens
Marcos Cherinda
Ravi Jawahir
The Challenge
245(1)
Continuities in Education Between Community and School
246(2)
Language-Based Activities in Multicultural Classrooms
248(1)
Visuospatial Reasoning in Metaphors: Selection and Relevance
249(1)
PNG Secondary Teachers' Ethnomathematics Studies
250(4)
PNG Elementary School Teacher Education Study
254(7)
Working with Mental and Physical Visuospatial Representations in Africa
261(2)
Mental Mapping of the Navajo, USA
263(1)
Yup'ik Mathematics Education
264(1)
Thoughts on an Ecocultural Curriculum
265(1)
Brazilian Initiatives
266(1)
Language and Inquiry for Visuospatial Reasoning in Geometry: Mauritius
267(5)
Moving Forward
272(3)
9 Visuospatial Reasoning in Contexts with Digital Technology 275(16)
Kay Owens
Kate Highfield
The Challenge
275(1)
Ecocultural Perspective of Measurement in Changing Worlds
276(1)
The Role of Digital Media in Developing Self-Regulation for Learning
277(4)
Visuospatial Reasoning in Geometry and Measurement Learning Through Digital Technology
281(6)
Visuospatial Reasoning in the Digital Age Taking Account of Ecocultural Contexts
287(2)
Moving Forward
289(2)
10 An Ecocultural Perspective on Visuospatial Reasoning in Geometry and Measurement Education 291(20)
The Challenge
291(2)
Mathematics
293(1)
Theories of Mathematics Education
294(2)
The Synergy of Research Studies on Visuospatial Reasoning
296(3)
Visuospatial Reasoning
299(2)
The Importance of Visuospatial Reasoning
301(1)
Contexts for Visuospatial Reasoning
302(1)
Mathematics Teacher Education for Visuospatial Reasoning
303(1)
Visuospatial Reasoning in Geometry and Measurement
304(1)
Developing Views of Spatiality
305(1)
The Issue of Equity
306(2)
Challenges Addressed
308(1)
Abbreviations
309(2)
Appendix A A Synthesis of Problem-Solving Processes 311(2)
Appendix B Test of Visuospatial Reasoning for Young Children 313(4)
Appendix C Map of PNG and Some Counting System Details 317(4)
Appendix D Making the Bilum Pattern 50 Toea or Soccer Ball 321(2)
Appendix E Example of Learning Plan for Cultural Mathematics 323(4)
Appendix F Selection of Curriculum Statements and Issues 327(6)
Appendix G Types of Geometry 333(2)
References 335(30)
Author Index 365(8)
Subject Index 373