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What makes different number-space mappings interact?

Arnaud Viarouge1, Maria Dolores de Hevia2

  • 1Laboratory for the Psychology of Child Development and Education (LaPsyDÉ), CNRS, Université Paris Cité, 46 Rue Saint Jacques, 75005, Paris, France. arnaud.viarouge@u-paris.fr.

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Numerical cognition models suggest a shared mental number line underlies number-space interactions. This study confirms that both the Spatial Numerical Association of Response Codes (SNARC) effect and the size-congruity effect (SCE) interact, driven by task demands on number-location and number-size mappings.

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Area of Science:

  • Cognitive Psychology
  • Neuroscience
  • Numerical Cognition

Background:

  • Numerical cognition models propose a visuo-spatial 'mental number line' for number processing.
  • Two key number-space interactions are the SNARC effect (number-location mapping) and the size-congruity effect (SCE; number-size mapping).
  • The underlying representational source for these mappings and their potential interaction remains insufficiently investigated.

Purpose of the Study:

  • To investigate whether the Spatial Numerical Association of Response Codes (SNARC) effect and the size-congruity effect (SCE) stem from a single representational source.
  • To systematically examine the interaction between SNARC and SCE by manipulating task relevance and mapping congruency levels.
  • To determine if task requirements influence the activation of a unified number-space representation.

Main Methods:

  • Three experiments were conducted, building upon prior research.
  • Manipulated task relevance (implicit vs. explicit tasks) and the congruency of number-space mappings (varied within or between blocks).
  • Systematically analyzed the interaction between SNARC and SCE under different experimental conditions.

Main Results:

  • Experiment 1 replicated the interaction between SNARC and SCE when both factors were present.
  • Experiments 2 and 3 dissociated these factors, showing that both contribute to the interaction.
  • The interaction between number-space mappings is driven by both factors, individually or in combination.

Conclusions:

  • Both the SNARC effect and SCE independently contribute to the interaction between number and space.
  • Task requirements that give equal weight to number-location and number-size mappings activate a single, integrated representation.
  • This suggests a unified representational system for numerical and spatial information in the brain.