The Mathematical Brain Across the Lifespan
- 1st Edition, Volume 227 - June 22, 2016
- Latest edition
- Editors: Marinella Cappelletti, Wim Fias
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 6 3 6 9 8 - 0
- eBook ISBN:9 7 8 - 0 - 4 4 4 - 6 3 7 0 2 - 4
The Mathematical Brain Across the Lifespan is the latest volume in the Progress in Brain Research series that focuses on new trends and developments. This established inte… Read more
The Mathematical Brain Across the Lifespan
is the latest volume in the Progress in Brain Research series that focuses on new trends and developments. This established international series examines major areas of basic and clinical research within the neurosciences, as well as popular and emerging subfields.- Provides a comprehensive review of the most recent progress in the mathematical brain across the lifespan
- Explores new trends and developments in the field
- Enhances the literature of neuroscience by further expanding the established, ongoing international series Progress in Brain Research
Neuroscientists, psychologists, neurologists
- Preface
- Chapter 1: Neuronal foundations of human numerical representations
- Abstract
- 1 Introduction
- 2 A Core Numerical Representation in Parietal Cortex
- 3 The Extraction of Numerical Information: Format-Specific Contributions Within and Beyond Parietal Cortex
- 4 Concluding Remarks
- Chapter 2: What counts in estimation? The nature of the preverbal system
- Abstract
- 1 The Preverbal System
- 2 Neural Implementation of a Preverbal System and Verbal Counting Series
- 3 Our Aim
- 4 Binomial Accumulator
- 5 Poisson Accumulator
- 6 Doubly Stochastic Process
- 7 Implications of Linear Accumulator Models
- 8 Numerical Consequences of the AMS Hypothesis
- 9 Utility of AMS Hypothesis
- 10 AMS Integrator
- 11 Building an AMS Accumulator
- 12 AMS Accumulator or AMS Integrator?
- 13 Representations of Magnitude Orders: Stochastic Cascades
- 14 Log vs Linear: Is This an Issue (for Learning)?
- 15 Conclusions
- Acknowledgments
- Chapter 3: Core mathematical abilities in infants: Number and much more
- Abstract
- 1 Introduction
- 2 Two Cognitive Systems for Nonverbal Numerical Representation
- 3 Infants’ Arithmetical Computations on Numerosities
- 4 Beyond Number: Other Quantitative Dimensions
- 5 Infants’ Mappings Across Quantitative Dimensions
- 6 A Spatially Oriented Representation of Number in Infants
- 7 Conclusions
- Chapter 4: Cognitive and brain systems underlying early mathematical development
- Abstract
- 1 Intuitions of Number
- 2 Relations Between ANS Acuity and Mathematical Achievement
- 3 The Role of Domain-general Abilities
- 4 Conclusion
- Acknowledgments
- Chapter 5: Individual differences in children's mathematics achievement: The roles of symbolic numerical magnitude processing and domain-general cognitive functions
- Abstract
- 1 Introduction
- 2 Neurocognitive Development of Arithmetic in Children
- 3 Symbolic Numerical Magnitude Processing
- 4 Working Memory
- 5 Phonological Processing
- 6 Conclusions and Future Directions
- Acknowledgments
- Chapter 6: Similarity interference in learning and retrieving arithmetic facts
- Abstract
- 1 Typical Development of Arithmetic Facts Network
- 2 Atypical Development of Arithmetic Facts Network
- 3 Discussion and Conclusion
- Chapter 7: Memory and cognitive control circuits in mathematical cognition and learning
- Abstract
- 1 Introduction
- 2 Parietal–Frontal Working Memory Systems
- 3 Hippocampal–Frontal Declarative Memory System
- 4 Cognitive Control Systems in Mathematical Cognition
- 5 Summary and Conclusions
- Chapter 8: On the ordinality of numbers: A review of neural and behavioral studies
- Abstract
- 1 General Introduction
- 2 How Different Are Ordinality and Cardinality?
- 3 Is Numerical Order Special?
- 4 Increasing Ordinal Complexity: From Nonhuman Animals to Development and Acquisition of Ordinality in Humans
- 5 Mechanisms that Support Numerical Ordinal Processing
- 6 Ordinality and Implications for More Complex Numerical Processing
- 7 Conclusions
- Chapter 9: On the instability and constraints of the interaction between number representation and spatial attention in healthy humans: A concise review of the literature and new experimental evidence
- Abstract
- 1 Introduction
- 2 Experiment 1: Attentional SNARC
- 3 Experiment 2: Imagery Attentional SNARC
- 4 Experiment 3: Spatial Attentional SNARC
- 5 Experiment 4: Magnitude Attentional SNARC
- 6 Comparing the Strength of the Att-SNARC Among Experiments 1–4
- 7 Discussion
- 8 Conclusions
- Chapter 10: Age-related changes in strategic variations during arithmetic problem solving: The role of executive control
- Abstract
- 1 Age-related Differences During Arithmetic Problem Solving
- 2 The Role of Executive Processes in Strategic Variations with Age in Arithmetic
- 3 Conclusions and Future Directions
- Chapter 11: Subtypes and comorbidity in mathematical learning disabilities: Multidimensional study of verbal and visual memory processes is key to understanding
- Abstract
- 1 MLD and DD
- 2 WM Models in MLD Research
- 3 Verbal and Visual Memory Deficits in MLD
- 4 Analysis of Study Data
- 5 Effect Sizes from Studies
- 6 Matching Reading and IQ in MLD and Control Groups
- 7 Processing Networks and the Impact of General Task Difficulty
- 8 MLD Subtypes, Network Coordination, and Individual Variability
- Acknowledgment
- Appendix
- Chapter 12: Neurocognitive accounts of developmental dyscalculia and its remediation
- Abstract
- 1 Introduction
- 2 Multiple Cognitive Factors Involved in DD
- 3 Multiple Neurocognitive Systems Involved in DD
- 4 Remediating DD
- 5 Conclusions and Future Directions
- Chapter 13: Approximate numerical abilities and mathematics: Insight from correlational and experimental training studies
- Abstract
- 1 Cognitive Foundations for Mathematical Abilities
- 2 Emerging Ideas from Empirical Work
- 3 Conclusions
- Chapter 14: Brain stimulation, mathematical, and numerical training: Contribution of core and noncore skills
- Abstract
- 1 Introduction
- 2 Core and Noncore Skills
- 3 Brain Stimulation
- 4 Brain Stimulation and Mathematical Training
- 5 Conclusions and Future Directions
- Acknowledgments
- Index
- Other volumes in Progress in Brain Research
- Edition: 1
- Latest edition
- Volume: 227
- Published: June 22, 2016
- Language: English
MC
Marinella Cappelletti
Affiliations and expertise
Marinella Cappelletti, Goldsmiths College, University of London, London, UKWF
Wim Fias
Dr. Fias is a Professor of Experimental Psychology at Ghent University. He is currently editor-in-chief of the Journal of Numerical Cognition and has been consulting editor for Journal of Experimental Psychology: Learning Memory and Cognition and was an editorial board member of the journal Cognition. He serves regularly as an ad hoc reviewer for all major journals in the domain of Cognitive Psychology and Cognitive Neuroscience. Dr. Fias has over 100 publications on the topics of numerical cognition, working memory and cognitive control. His research uses behavioral and neuroimaging techniques in a complementary way.
Affiliations and expertise
Professor of Experimental Psychology, Faculty of Psychology and Educational Sciences, Department of Experimental Psychology, Ghent University, Ghent, BelgiumRead The Mathematical Brain Across the Lifespan on ScienceDirect