Relating magnitudes: the brain's code for proportions

被引:85
作者
Jacob, Simon N. [1 ]
Vallentin, Daniela [2 ]
Nieder, Andreas [1 ]
机构
[1] Univ Tubingen, Inst Neurobiol, D-72076 Tubingen, Germany
[2] NYU Sch Med, Dept Physiol & Neurosci, New York, NY 10016 USA
关键词
PRIMATE POSTERIOR PARIETAL; WHOLE-NUMBER; NUMERICAL INFORMATION; MENTAL REPRESENTATION; RATIONAL NUMBERS; FRACTION; NUMEROSITY; QUANTITY; STUDENTS; CORTEX;
D O I
10.1016/j.tics.2012.02.002
中图分类号
B84 [心理学]; C [社会科学总论]; Q98 [人类学];
学科分类号
03 ; 0303 ; 030303 ; 04 ; 0402 ;
摘要
Whereas much is known about how we categorize and reason based on absolute quantity, data exploring ratios of quantities, as in proportions and fractions, are comparatively sparse. Until recently, it remained elusive whether these two representations of number are connected, how proportions are implemented by neurons and how language shapes this code. New data derived with complementary methods and from different model systems now shed light on the mechanisms of magnitude ratio representations. A coding scheme for proportions has emerged that is remarkably reminiscent of the representation of absolute number. These novel findings suggest a sense for ratios that grants the brain automatic access to proportions independently of language and the format of presentation.
引用
收藏
页码:157 / 166
页数:10
相关论文
共 72 条
[51]   Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games [J].
Ramani, Geetha B. ;
Siegler, Robert S. .
CHILD DEVELOPMENT, 2008, 79 (02) :375-394
[52]   Monotonic coding of numerosity in macaque lateral intraparietal area [J].
Roitman, Jamie D. ;
Brannon, Elizabeth M. ;
Platt, Michael L. .
PLOS BIOLOGY, 2007, 5 (08) :1672-1682
[53]   Numerical representation for action in the parietal cortex of the monkey [J].
Sawamura, H ;
Shima, K ;
Tanji, J .
NATURE, 2002, 415 (6874) :918-922
[54]   Deficits in Action Selection Based on Numerical Information After Inactivation of the Posterior Parietal Cortex in Monkeys [J].
Sawamura, Hiromasa ;
Shima, Keisetsu ;
Tanji, Jun .
JOURNAL OF NEUROPHYSIOLOGY, 2010, 104 (02) :902-910
[55]   Empirical validation of the triple-code model of numerical processing for complex math operations using functional MRI and group Independent Component Analysis of the mental addition and subtraction of fractions [J].
Schmithorst, VJ ;
Brown, RD .
NEUROIMAGE, 2004, 22 (03) :1414-1420
[56]   Representations of the Magnitudes of Fractions [J].
Schneider, Michael ;
Siegler, Robert S. .
JOURNAL OF EXPERIMENTAL PSYCHOLOGY-HUMAN PERCEPTION AND PERFORMANCE, 2010, 36 (05) :1227-1238
[57]   Playing linear numerical board games promotes low-income children's numerical development [J].
Siegler, Robert S. ;
Ramani, Geetha B. .
DEVELOPMENTAL SCIENCE, 2008, 11 (05) :655-661
[58]   An integrated theory of whole number and fractions development [J].
Siegler, Robert S. ;
Thompson, Clarissa A. ;
Schneider, Michael .
COGNITIVE PSYCHOLOGY, 2011, 62 (04) :273-296
[59]   Does half a pizza equal half a box of chocolates? Proportional matching in an analogy task [J].
Singer-Freeman, KE ;
Goswami, U .
COGNITIVE DEVELOPMENT, 2001, 16 (03) :811-829
[60]   ADAPTIVE SIGNIFICANCE OF FEMALE PHYSICAL ATTRACTIVENESS - ROLE OF WAIST-TO-HIP RATIO [J].
SINGH, D .
JOURNAL OF PERSONALITY AND SOCIAL PSYCHOLOGY, 1993, 65 (02) :293-307