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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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