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Full Description
Arithmetic disability stems from deficits in neurodevelopment, with great individual differences in development or function of an individual at neuroanatomical, neuropsychological, behavioral, and interactional levels. Heterogeneous Contributions to Numerical Cognition: Learning and Education in Mathematical Cognition examines research in mathematical education methods and their neurodevelopmental basis, focusing on the underlying neurodevelopmental features that must be taken into account when teaching and learning mathematics. Cognitive domains and functions such as executive functions, memory, attention, and language contribute to numerical cognition and are essential for its proper development. These lines of research and thinking in neuroscience are discussed in this book to further the understanding of the neurodevelopmental and cognitive basis of more complex forms of mathematics - and how to best teach them. By unravelling the basic building blocks of numerical thinking and the developmental basis of human capacity for arithmetic, this book and the discussions within are important for the achievement of a comprehensive understanding of numerical cognition, its brain basis, development, breakdown in brain-injured individuals, and failures to master mathematical skills.
Contents
1. From quantical to numerical cognition: A crucial passage for understanding the nature of mathematics and its origins
SECTION I Advanced mathematics, reasoning and problem solving
2. Toward an inhibitory control theory of the reasoning brain in development
3. Maths and logic: Relationships across development
4. Cerebral underpinning of advanced mathematical activity
SECTION II Math education
5. Looking at the development of mathematical knowledge from the perspective of the framework theory approach to conceptual change: Lessons for mathematics education
6. Subtraction by addition: A remarkably natural and clever way to subtract?
7. Probing the neural basis rational numbers: The role of inhibitory control and magnitude representations
8. Learning and education in numerical cognition: We do need education
SECTION III Intervention studies
9. Supporting early numeracy: The role of spontaneous mathematical focusing tendencies in learning and instruction
10. Developmental course of numerical learning problems
in children and how to prevent dyscalculia: A summary of the longitudinal examination of children from kindergarten to secondary school
11. Neurocognitive mechanisms of numerical intervention studies: The case of brain stimulation
12. Intervention studies in math: A metareview
SECTION IV Math deficiencies and difficulties
13. The complex pathways toward the development of math anxiety and links with achievements
14. What predicts the development of fact retrieval speed and calculation accuracy in children with (and without) arithmetic disabilities (AD). What can we learn from longitudinal studies?
15. Early neurocognitive development of dyscalculia
16. Early difficulties in numerical cognition
