Research Report
Parametric effects of numerical distance on the intraparietal
sulcus during passive viewing of rapid numerosity changes
Daniel Ansari
⁎
, Bibek Dhital, Soon Chun Siong
Numerical Cognition Laboratory, Department of Education, Dartmouth College, 3 Maynard Street, Raven House, Hanover, NH 03755, USA
ARTICLE INFO ABSTRACT
Article history:
Accepted 5 October 2005
Available online 15 December 2005
A number of functional neuroimaging studies have revealed that regions in and around the
intraparietal sulcus (IPS) are parametrically modulated by numerical distance, whereby
there is an inverse relationship between distance and levels of activation. These areas are
thus thought to contain the internal representation of numerical magnitude. Nevertheless,
it has also been suggested that the IPS is involved in response selection during number
comparison tasks rather than the representation of numerical magnitude per se. In order to
test the independence of the effect of distance on cortical regions, we employed a passive
viewing paradigm. Sixteen right-handed male participants viewed rapidly changing slides
containing arrays of squares. By varying the distance between the numerosity presented in
separate blocks (8 vs. 8, 8 vs. 12, and 8 vs. 16), we examined which regions exhibit a
parametric effect of numerical distance. This analysis revealed such effects in the superior
part of the IPS bilaterally as well as the superior parietal lobule and the supramarginal gyrus.
In contrast, slides rapidly changing in area but not number (Area constant, Area × 1, and
Area × 2) did not yield a parametric effect of distance in these regions. Instead, a reverse
effect of area was found in a region of the calcarine sulcus. These findings suggest that areas
in and around the IPS are involved in numerical magnitude discrimination in the absence of
an explicit task and response requirements.
© 2005 Elsevier B.V. All rights reserved.
Theme:
Neural basis of behavior
Topic:
Cognition
Keywords:
Functional MRI
Numerical cognition
Numerical magnitude
Distance effect
Intraparietal sulcus
1. Introduction
How does the brain enable the representation of numerical
magnitudes? Much research into the neural basis of numerical
magnitude processing today is related to an influential paper
by Moyer and Landauer (1967). In this paper, the authors
reported that reaction time is inversely related to the distance
between numbers when adults perform relative magnitude
comparisons. This so-called “numerical distance effect” has
since been studied in young children, infants, and animals
(Brannon and Terrace, 1998; Feigenson et al., 2004; Huntley-
Fenner and Cannon, 2000; Sekuler and Mierkiewicz, 1977; Xu
and Spelke, 2000). The distance effect is well replicated and is
thought to reveal important characteristics of the semantic
organization of numerical magnitudes. The fact that it can be
measured in both animals and preverbal infants suggests that
it represents a fundamental property of the way in which
numerical stimuli are processed. In this vein, it has been
hypothesized that numerical magnitudes are represented on a
“number line,” where magnitudes close to each other share
more variance in representational signal than those relatively
far apart and are therefore harder to discriminate.
BRAIN RESEARCH 1067 (2006) 181 – 188
⁎ Corresponding author. Fax: +1 603 646 3968.
E-mail address: Daniel.Ansari@Dartmouth.Edu (D. Ansari).
URL: http://www.dartmouth.edu/~numcog (D. Ansari).
0006-8993/$ – see front matter © 2005 Elsevier B.V. All rights reserved.
doi:10.1016/j.brainres.2005.10.083
available at www.sciencedirect.com
www.elsevier.com/locate/brainres