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    <subfield code="a">Front Cover -- Development of Mathematical Cognition: Neural Substrates and Genetic Influences -- Copyright -- Contents -- Contributors -- Foreword -- References -- Preface -- Chapter 1: Introduction: How the Study of Neurobiological and Genetic Factors Can Enhance Our Understanding of Mathematica ... -- Introduction -- Neurobiological Perspectives on Mathematical Cognitive Development -- Using Neuroimaging Methods to Study Children's Mathematical Development -- Mathematical Cognition and Development: Brain Structure and Function -- A Brief History -- The Developing Brain -- Brain Imaging Methods Used in Studying Mathematical Cognitive Development -- Criticisms of fMRI -- Reverse Inference -- How Brain Imaging Can Advance Cognitive Theorizing -- Behavioral and Neuro-genetics of Mathematical Cognition -- Interpretive Challenges -- Behavioral Genetics in the Age of Molecular Genetics and Neuroscience -- Summary and Conclusions -- References -- Part I: Neural substrates -- Chapter 2: Number Symbols in the Brain -- Introduction -- Which Brain Regions Are Engaged During the Processing of Numerical Symbols? -- Evidence from Comparison Tasks -- Response-Selection Confounds -- Evidence from fMRI Adaptation Studies -- Semantic or Perceptual Processing of Number Symbols in the IPS? -- Numerical Symbols in the Brain-Evidence from Developmental Studies -- Perceptual Representation of Number Symbols in the Brain -- Are Symbolic and Nonsymbolic Quantity Representations Linked in the Brain? -- Differences in Cardinal and Ordinal Processing of Number Symbols in the Brain -- Conclusions and Future Directions -- Acknowledgments -- References -- Chapter 3: Neural and Behavioral Signatures of Core Numerical Abilities and Early Symbolic Number Development -- Introduction -- Two Systems for Nonverbal Numerical Cognition -- Parallel Individuation System.</subfield>
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    <subfield code="a">Approximate Number System -- Behavioral Evidence for Distinct Systems of Numerical Cognition -- The Cognitive Neuroscience of Two Core Systems of Number -- Establishing the Neural Signatures of Two Systems -- Distinct Brain Mechanisms of Two Systems -- Continuity in Neural Signatures over Development -- Change in Core Numerical Processing over Development -- The Relationship Between Core Systems and Symbolic Number Abilities -- Approximate Number System and Symbolic Number and Mathematics Abilities -- The Relationship of Core Systems to Early Number Concept Development -- Conclusions -- Acknowledgments -- References -- Chapter 4: A Neurodevelopmental Perspective on the Role of Memory Systems in Children's Math Learning -- Introduction -- Development of Memory-Based Strategies in Children's Mathematics Learning -- Declarative Memory and Its Development -- Medial Temporal Lobe Memory System -- Memory Processes in the Context of Mathematics Learning -- Children Engage the MTL Memory System Differently Than Adults -- Individual Differences in Children's Retrieval Strategy Use Are Associated with the MTL -- Decoding Brain Activity Patterns Associated with Counting and Retrieval Strategies -- Hippocampal-Prefrontal Cortex Circuits and Their Role in Children's Mathematics Learning -- Longitudinal Changes in MTL Response, Representations and Connectivity Associated with Memory-Based Retrieval -- Why Adults May Not Rely on MTL Memory Systems for Mathematics Performance and Learning -- Conclusions -- Acknowledgments -- References -- Chapter 5: Finger Representation and Finger-Based Strategies in the Acquisition of Number Meaning and Arithmetic -- Introduction -- Fingers in Numerical and Arithmetic Processing -- The Role of Fingers and Finger Representation in Number Processing -- Neural Substrates for Hand and Number Processing.</subfield>
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    <subfield code="a">Changes of Brain Function Due to Development and Intervention -- Abnormal Neuronal Macro- and Microstructures -- Brain Structure -- Fiber Connections -- Neurometabolites -- Conclusions and Future Directions -- References -- Chapter 8: Neurocognitive Components of Mathematical Skills and Dyscalculia -- Introduction -- Accessing Quantity Representations -- Working Memory: The Role of Serial Order -- Executive Functions -- Discussion and Conclusions -- References -- Chapter 9: Individual Differences in Arithmetic Fact Retrieval -- Introduction -- Development and Measurement of Arithmetic Fact Retrieval -- Neurocognitive Determinants of Individual Differences in Arithmetic Fact Retrieval -- Numerical Magnitude Processing -- Phonological Processing -- Neural Correlates of Arithmetic Fact Retrieval -- Arithmetic Fact Retrieval in the (Developing) Brain -- Individual Differences in Brain Activity During Fact Retrieval -- Connections Between Areas of the Arithmetic Fact-Retrieval Network -- Conclusions and Future Directions -- References -- Chapter 10: Transcranial Electrical Stimulation and the Enhancement of Numerical Cognition -- Introduction -- A Brief History -- tES Today -- The Forms of tES -- tDCS -- tRNS -- Principles and Limitations of tES Experiments -- Placebo Effects -- Online and Offline Effects: Single Session and Training Studies -- Depth of Stimulation -- Choosing the Brain Region -- Size, Number, and Placement of the Electrodes -- Choosing the Type of Stimulation -- Evidence of tES-Induced Enhancement of Numerical Cognition -- Numerosity -- Symbolic and Magnitude Processing -- Symbolic-magnitude mapping -- Multiple electrodes -- Arithmetic Operations -- All or Null? The Case of Nonsignificant Results -- Evidence of tES-Induced Enhancements in Dysfunctional Numerical Cognition -- Mathematics Anxiety -- Dyscalculia -- The To-Do List.</subfield>
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