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Published on: May 10, 2012
Mental number space in three dimensions.
Bodo Winter1, Teenie Matlock1, Samuel Shaki2
1Cognitive and Information Sciences, University of California, Merced, 5200 North Lake Rd., 95340 Merced, CA, USA.
Spatial and numerical cognition interact, challenging the simple left-right number line. Research reveals numbers map to vertical and near/far space, suggesting embodied cognition. This offers new insights into brain organization.
Area of Science:
- Neuroscience
- Cognitive Psychology
- Experimental Psychology
Background:
- Neuroscience and psychology findings show interplay between spatial and numerical cognition.
- The traditional view posits a horizontal mental number line (small numbers left, large numbers right).
Purpose of the Study:
- To review and synthesize research on the spatial mapping of numbers.
- To explore multi-dimensional number-space associations beyond the horizontal line.
- To discuss origins and implications for brain organization and embodied cognition.
Main Methods:
- Literature review and synthesis of experimental findings.
- Analysis of research on spatial cognition and numerical cognition interactions.
- Theoretical discussion on multi-dimensional number space and embodied cognition.
Main Results:
- Evidence supports multiple spatial mappings for numbers, including vertical and near/far dimensions.
- The traditional horizontal number line is insufficient to explain all observed spatial-numerical associations.
- Number-space mappings may have origins in brain organization and brain-culture interactions.
Conclusions:
- Cognition is embodied, grounded, and situated, as evidenced by multi-dimensional number-space mappings.
- Further research can explore the origins and neural basis of these diverse spatial representations of numbers.
- Novel predictions arise from viewing number-space associations within a three-dimensional framework.
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