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Index
Cover image
Title page
Table of Contents
Copyright
Contributors
Foreword: Mathematical Cognition, Language, and Culture: Understanding the Links
Preface
Chapter 1: Introduction: Language and Culture in Mathematical Cognitive Development
Abstract
Introduction
A Brief Historical Review of Research on the Roles of Language and Culture in Mathematical Cognition
Specific Linguistic Levels of Influence on Numerical Processing
A Key Question Driving Research on Numerical Development
Other Considerations in Studying Linguistic Influences on Numerical Processing
The Role of Culture in Mathematical Cognition
Disentangling Linguistic and Cultural Influences on Numerical Processing and Mathematics Achievement
Conclusions
Chapter 2: Analogical Mapping in Numerical Development
Abstract
Introduction
Analogical Mapping in Integer Learning
Acquisition of Natural Numbers
Analogical Mapping in Acquiring Natural Numbers
Problems With the Current Account of Analogical Mapping in Integer Learning
Analogical Mapping in Magnitude Estimation
Analogical Mapping in Estimation: Evidence From the Flexibility and Interdependence of Estimates
Analogical Mapping in Estimation: The Role of Ordinality
Other Evidence of Analogy as a Source of Representational Changes
General Conclusion
Chapter 3: Linguistic and Experiential Factors as Predictors of Young Children's Early Numeracy Skills
Abstract
Number Language and Early Numeracy Performance
Comparisons of Counting Across Languages
Other Approaches to Exploring Language Effects
Conclusions
Acknowledgments
Chapter 4: Effects of Mathematics Language on Children's Mathematics Achievement and Central Conceptual Knowledge
Abstract
Mathematics Language and Achievement
Mathematics Achievement, Central Conceptual Knowledge, and Numerical Language
Conclusions
Chapter 5: How Does the “Learning Gap” Open? A Cognitive Theory of Nation Effects on Mathematics Proficiency
Abstract
The Traditional Approach: Differences in Input, Differences in Output
A Cognitive Theory on How the Learning Gap Opens
Do Numerical Magnitude Judgments Mediate Nation Effects on Math Proficiency?
Conclusions
Acknowledgments
Chapter 6: Mathematical Skills of Children With Specific Language Impairments: Testing Developmental Theory
Abstract
Introduction
Background to Specific Language Impairment
Linguistic and Nonlinguistic Contributions to Mathematical Development
Evidence From Children With Specific Language Impairments (SLI)
Conclusions
Chapter 7: Arithmetic in the Bilingual Brain
Abstract
Introduction
Bilingualism and Retrieval of Mathematical Facts
Conclusions and Future Directions
Chapter 8: Linguistic Traces in Core Numerical Knowledge: An Approach From Bilingualism
Abstract
Introduction
Numbers Without Language
Language and Symbol Acquisition
Bilingualism as a Window to Numerical Cognition
The Language of Learning Mathematics
New Evidence: Bilingual Dyscalculia
Conclusions
Acknowledgments
Chapter 9: Early Number Knowledge in Dual-Language Learners From Low-SES Households
Abstract
Introduction
Does Bilingualism Matter for Early Numeracy?
Ways for Young Children to Represent Numbers
Our Study
Acknowledgment
Chapter 10: How Culturally Predominant Reading Direction and Number Word Construction Influence Numerical Cognition and Mathematics Performance
Abstract
Introduction
Effects of Reading Direction
Effects of Number Word Construction
Conclusions and Future Directions
Acknowledgments
Chapter 11: Language, Culture, and Space: Reconstructing Spatial-Numerical Associations
Abstract
Verbal Components of Language-Related Spatial-Numerical Associations
Non-Verbal Language-Related Behavior and Spatial-Numerical Associations
Evolutionary Predispositions to SNARC
Summary and Conclusions
Chapter 12: Cultural Processes in Elementary Mathematics: Studies in a Remote Papua New Guinea Community
Abstract
Dichotomous Approaches to Analyzing Relations Between Culture and the Development of Numerical Understandings
Intrinsic Relations Approaches to Analyzing Relations Between Culture and the Development of Numerical Understandings
The Interplay Between Cultural and Developmental Processes in Mathematical Understandings: A Program of Research in Remote Oksapmin Communities
Concluding Remarks
Chapter 13: Numeration Systems as Cultural Tools for Numerical Cognition
Abstract
Introduction
Properties of Numeration Systems and Their Implications
Inconsistencies Between Representational Systems
Conclusion
Acknowledgments
Index
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