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Parallel and serial processes in number-to-quantity conversion.

Dror Dotan1, Stanislas Dehaene2

  • 1Mathematical Thinking Lab, School of Education, School of Neuroscience, Tel Aviv University, Tel Aviv 69978, Israel; Cognitive Neuroimaging Unit, CEA DRF/I2BM, INSERM, Université Paris-Sud, Université Paris-Saclay, NeuroSpin center, 91191 Gif/Yvette, France.

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Summary
This summary is machine-generated.

Processing multi-digit numbers involves parallel and serial stages. A serial bottleneck occurs when creating the number's structure, while digit processing and quantity merging happen in parallel.

Keywords:
Mental number lineMulti-digit numbersNumber representationNumber syntaxSerial and parallel processing

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Area of Science:

  • Cognitive Psychology
  • Neuroscience
  • Human-Computer Interaction

Background:

  • Understanding how humans process multi-digit numbers is crucial for cognitive science.
  • The conversion of numerical digits to their quantitative value involves complex cognitive processes.
  • Investigating the interplay between digit processing and decimal structure is key to understanding numerical cognition.

Purpose of the Study:

  • To investigate the processing order of digits in multi-digit numbers (parallel vs. serial).
  • To determine how digits are assigned their correct decimal roles (e.g., units, tens).
  • To identify potential bottlenecks in the cognitive processes involved in number conversion.

Main Methods:

  • Participants were presented with two-digit numbers and asked to indicate their position on a number line.
  • Pointing trajectories were recorded to analyze the timing and nature of cognitive processing.
  • Experimental manipulations involved delaying the presentation of decade and unit digits to probe processing pathways.

Main Results:

  • A delayed decade digit presentation resulted in a corresponding delay in its processing effect.
  • A delayed unit digit presentation showed a smaller delay, suggesting a 35ms idle window in the units pathway.
  • Transient single-digit displays led to errors in assigning decimal roles, with decreased decade effects and increased unit effects.

Conclusions:

  • Number processing involves a serial bottleneck during the initial syntactic frame creation, initiated by the leftmost digit.
  • Subsequent stages, including decimal role binding and quantification, appear to operate in parallel across digits.
  • Expert readers exhibit significant parallelism in processing multi-digit numerical quantities.