Abstract

An implicit mapping of number to space via a “mental number line” occurs automatically in adulthood. Here, we systematically explore the influence of differing representations of quantity (no quantity, non-symbolic magnitudes, and symbolic numbers) and directional flow of stimuli (random flow, left-to-right, or right-to-left) on learning and attention via a match-to-sample working memory task. When recalling a cognitively demanding string of spatial locations, subjects performed best when information was presented right-to-left. When non-symbolic or symbolic numerical arrays were embedded in these spatial locations, and mental number line congruency prompted, this effect was attenuated and in some cases reversed. In particular, low-performing female participants who viewed increasing non-symbolic number arrays paired with the spatial locations exhibited better recall for left-to-right directional flow information relative to right-to-left, and better processing for the left side of space relative to the right side of space. The presence of symbolic number during spatial learning enhanced recall to a greater degree than non-symbolic number—especially for female participants, and especially when cognitive load is high—and this difference was independent of directional flow of information. We conclude that quantity representations have the potential to scaffold spatial memory, but this potential is subtle, and mediated by the nature of the quantity and the gender and performance level of the learner.

Highlights

  • Decades of experimental research have demonstrated that representations of number are linked to spatial locations

  • There was a marginal interaction of gender with Trial and Spatial Type (F(18,540) = 1.59, p = .05, partial η2 = .05). This interaction reflects that when under the highest level of memory load female participants performed worse than men- but that this detriment was specific to the type of spatial flow This interaction is further explored below in the T10 analyses

  • We see some evidence for preferential encoding of absolute spatial location; female participants were slightly better at remembering leftside information whereas male participants were slightly better at remembering right-side information

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Summary

Introduction

Decades of experimental research have demonstrated that representations of number are linked to spatial locations. A widely supported example of this relationship is the Spatial Numerical Association of Response Codes (SNARC) effect, in which Western-educated individuals preferentially map smaller numbers to the left side of space, and larger to the right, in an ordered sequence [1]. This effect is attributed to a cognitive mapping of symbolic number to a spatial continuum, or internal mental number line [1, 2]. The bidirectional associations between spatial, numerical, and temporal cues can even be found in the earliest months of life [6, 7].

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