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The first interdisciplinary compilation of cutting-edge research on mathematical cognition

Table of Contents

Section I Mental Magnitudes and their Transformations 1. Mental Magnitudes 2. Objects, Sets, and Ensembles 3. Attention Mechanisms for Counting in Stabilized and in Dynamic Displays

Section II Neural Codes for Space, Time and Number 4. A Manifold of Spatial Maps in the Brain 5. Temporal Neuronal Oscillations can Produce Spatial Phase Codes 6. Population Clocks 7. Discrete Neuroanatomical Substrates for Generating and Updating Temporal Expectations 8. The Neural Code for Number

Section III Shared Mechanisms for Space, Time and Number? 9. Synesthesia 10. How is Number Associated with Space? The Role of Working Memory 11. Neglect “Around the Clock” 12. Saccades Compress Space, Time, and Number*

Section IV Origins of Proto-Mathematical Intuitions 13. Origins of Spatial, Temporal, and Numerical Cognition 14. Evolutionary Foundations of the Approximate Number System 15. Origins and Development of Generalized Magnitude Representation

Section V Representational Change and Education 16. Foundational Numerical Capacities and the Origins of Dyscalculia 17. Neurocognitive Start-Up Tools for Symbolic Number Representations 18. Natural Number and Natural Geometry 19. Geometry as a Universal Mental Construction 20. How Languages Construct Time 21. Improving Low-Income Children’s Number Sense