Journal ArticleDOI
How do we convert a number into a finger trajectory
Dror Dotan,Stanislas Dehaene +1 more
TLDR
Finger trajectory analysis provides a precise cognitive decomposition of the sequence of stages used in converting a number to a quantity and then a position, suggesting the activation of a compressive and holistic quantity representation.About:
This article is published in Cognition.The article was published on 2013-12-01. It has received 50 citations till now. The article focuses on the topics: Number line.read more
Citations
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Journal ArticleDOI
Compressive mapping of number to space reflects dynamic encoding mechanisms, not static logarithmic transform
TL;DR: It is demonstrated that the nonlinearity results not from a static logarithmic transformation but from dynamic processes that incorporate past history into numerosity judgments, and shows that this dynamic strategy results in a reduction of reproduction error, and hence improvement in accuracy.
Journal ArticleDOI
Spatial Associations in Numerical Cognition—From Single Digits to Arithmetic:
Martin H. Fischer,Samuel Shaki +1 more
TL;DR: It is concluded that the mental number line hypothesis and an embodied approach are useful frameworks for further studies on spatial biases found for single digits and pairs of numbers.
Journal ArticleDOI
Decision-making in sensorimotor control.
TL;DR: Recent behavioural, neurophysiological and computational research is reviewed that highlights the role of decision-making processes in the selection, planning and control of goal-directed movements in humans and nonhuman primates.
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Doing arithmetic by hand: Hand movements during exact arithmetic reveal systematic, dynamic spatial processing
TL;DR: These results are the first evidence that exact, symbolic arithmetic prompts systematic spatial processing associated with mental calculation, and discuss the possibility that mathematical calculation relies, in part, on an integrated system of spatial processes.
Journal ArticleDOI
On-line confidence monitoring during decision making
TL;DR: Data indicate that confidence is computed on-line, throughout the decision process, and suggest an adaptive mechanism that involves the opposite causality: by slowing down when unconfident, participants gain time to improve their decisions.
References
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Journal ArticleDOI
The mental representation of parity and number magnitude.
TL;DR: In this article, the authors examined how parity and number magnitude are accessed from Arabic and verbal numerals and found that large numbers preferentially elicited a rightward response, and small numbers a leftward response.
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Time required for judgements of numerical inequality.
TL;DR: It is conceivable that such judgements are made in the same way as judgements of stimuli varying along physical continua, but numerical judgements may be made at a different, less perceptual and more cognitive, level.
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Illusory conjunctions in the perception of objects.
Anne Treisman,Hilary Schmidt +1 more
TL;DR: It is confirmed that illusory conjunctions are frequently experienced among unattended stimuli varying in color and shape, and that they occur also with size and solidity (outlined versus filled-in shapes).
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Preverbal and verbal counting and computation.
TL;DR: The preverbal system of counting and arithmetic reasoning revealed by experiments on numerical representations in animals is described and a model of the fact retrieval process accounts for the salient features of the reaction time differences and error patterns revealed by experiment on mental arithmetic.
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Tuning Curves for Approximate Numerosity in the Human Intraparietal Sulcus
TL;DR: An evolutionary basis for human elementary arithmetic is suggested by the finding that when participants viewed sets of items with a variable number, the bilateral intraparietal sulci responded selectively to number change.