The Number Sense: How the Mind Creates MathematicsThe Number Sense is an enlightening exploration of the mathematical mind. Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind. |
Contents
Our Numerical Heritage | |
PiagetsTheory Piagets Errors | |
Nature Nurtureand Number Chapter 3 TheAdult Number Line | |
Intuitions of Number Part II Beyond Approximation Chapter 4 The Languageof Numbers | |
The ABC ofCalculation Preschoolers as Algorithm Designers | |
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abilities abstract accumulator activity addition adults animal approximate Arabic digits Arabic numerals arithmetic babies behavior calculating prodigies calculation algorithms cerebral areas Chapter child chimpanzee Chinese circuits cognitive Cognitive Neuropsychology color cortical counting Dehaene dots dyscalculia errors evolution experimental experiments fact Figure formal four function Hence human brain hypothesis imaging infants inferior parietal inferior parietal cortex innumeracy instance integers inthe intuition invention knowledge language large numbers larger lesion lever mathematicians mathematics meaning memory mental calculation mental representation multiplication table neuronal neuropsychology number line number notations number sense number words numeration systems numerical quantities numerosity ofnumber ofthe onthe organization parietal cortex patient perception performance physical Piaget Positron emission tomography precise prefrontal prefrontal cortex Press problem psychology PUPIL rats region representation of numbers response right hemisphere Roman numerals screen seems selection sequence similar split-brain strategies subitizing subtraction suchas symbols talent tothe understand visual