Foreword: Mathematical Cognition, Language, and Culture: Understanding the Links
Chapter 1: Introduction: Language and Culture in Mathematical Cognitive Development
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
Chapter 2: Analogical Mapping in Numerical Development
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
Number Language and Early Numeracy Performance
Comparisons of Counting Across Languages
Other Approaches to Exploring Language Effects
Mathematics Language and Achievement
Mathematics Achievement, Central Conceptual Knowledge, and Numerical Language
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?
Background to Specific Language Impairment
Linguistic and Nonlinguistic Contributions to Mathematical Development
Evidence From Children With Specific Language Impairments (SLI)
Chapter 7: Arithmetic in the Bilingual Brain
Bilingualism and Retrieval of Mathematical Facts
Conclusions and Future Directions
Chapter 8: Linguistic Traces in Core Numerical Knowledge: An Approach From Bilingualism
Language and Symbol Acquisition
Bilingualism as a Window to Numerical Cognition
The Language of Learning Mathematics
New Evidence: Bilingual Dyscalculia
Chapter 9: Early Number Knowledge in Dual-Language Learners From Low-SES Households
Does Bilingualism Matter for Early Numeracy?
Ways for Young Children to Represent Numbers
Effects of Number Word Construction
Conclusions and Future Directions
Chapter 11: Language, Culture, and Space: Reconstructing Spatial-Numerical Associations
Verbal Components of Language-Related Spatial-Numerical Associations
Non-Verbal Language-Related Behavior and Spatial-Numerical Associations
Evolutionary Predispositions to SNARC
Chapter 13: Numeration Systems as Cultural Tools for Numerical Cognition
Properties of Numeration Systems and Their Implications