What is a Weber Fraction?

From Panamath

(Difference between revisions)
Jump to: navigation, search
(Model Representations of the ANS)
(Model Representations of the ANS)
Line 3: Line 3:
In modeling performance on tasks that engage the ANS, it is necessary first to specify a model for the underlying approximate number representations.  It is generally agreed that each numerosity is mentally represented by a distribution of activation on an internal “number line.”  These distributions are inherently “noisy” and do not represent number exactly or discretely <ref>{{Cite book | last1 = Dechaene | first1 = Stanislas | title = The Number Sense : How the Mind Creates Mathematics | url = http://www.oup.com/us/catalog/general/subject/Psychology/CognitivePsychology/?view=usa&ci=9780195132403 | publisher = Oxford University Press | isbn = 978-0-19-513240-3}}</ref><ref>{{Cite journal | author = Gallistel, C., & Gelman, R. | year = 2000 | title = Non-verbal numerical
In modeling performance on tasks that engage the ANS, it is necessary first to specify a model for the underlying approximate number representations.  It is generally agreed that each numerosity is mentally represented by a distribution of activation on an internal “number line.”  These distributions are inherently “noisy” and do not represent number exactly or discretely <ref>{{Cite book | last1 = Dechaene | first1 = Stanislas | title = The Number Sense : How the Mind Creates Mathematics | url = http://www.oup.com/us/catalog/general/subject/Psychology/CognitivePsychology/?view=usa&ci=9780195132403 | publisher = Oxford University Press | isbn = 978-0-19-513240-3}}</ref><ref>{{Cite journal | author = Gallistel, C., & Gelman, R. | year = 2000 | title = Non-verbal numerical
cognition: from reals to integers | url = http://eebweb.arizona.edu/faculty/dornhaus/courses/materials/papers/Gallistel%20Gelman%20numbers%20counting%20cognition.pdf | journal = Trends in Neurosciences | volume = 4 | issue = 2 | pages = 59-65}} </ref>.  This means that there is some error each time they represent a number; and this error can be thought of as a spread of activation around the number being represented.
cognition: from reals to integers | url = http://eebweb.arizona.edu/faculty/dornhaus/courses/materials/papers/Gallistel%20Gelman%20numbers%20counting%20cognition.pdf | journal = Trends in Neurosciences | volume = 4 | issue = 2 | pages = 59-65}} </ref>.  This means that there is some error each time they represent a number; and this error can be thought of as a spread of activation around the number being represented.
 +
 +
== References ==
 +
{{reflist}}

Revision as of 14:26, 27 March 2011

Model Representations of the ANS

In modeling performance on tasks that engage the ANS, it is necessary first to specify a model for the underlying approximate number representations. It is generally agreed that each numerosity is mentally represented by a distribution of activation on an internal “number line.” These distributions are inherently “noisy” and do not represent number exactly or discretely [1][2]. This means that there is some error each time they represent a number; and this error can be thought of as a spread of activation around the number being represented.

References

Template:Reflist


Cite error: <ref> tags exist, but no <references/> tag was found
Personal tools