Relative size of numerical magnitude induces a size-contrast effect on the grip scaling of reach-to-grasp movements.

Previous research found that quantitative information labelled on target objects of grasping movement modulates grip apertures. While the interaction between numerical cognition and sensorimotor control may reflect a general representation of magnitude underpinned by the parietal cortex, the nature of this embodied cognitive processing remains unclear. In the present study, we examined whether the numerical effects on grip aperture can be flexibly modulated by the relative magnitude between numbers under a context, which suggests a trial-by-trial comparison mechanism to underlie this effect. The participants performed visual open-loop grasping towards one of two adjacent objects that were of the same physical size but labelled with different Arabic digits. Analysis of participants' grip apertures revealed a numerical size-contrast effect, in which the same numerical label (i.e., 5) led to larger grip apertures when it was accompanied by a smaller number (i.e., 2) than by a larger number (i.e., 8). The corrected grip aperture over the time course of movement showed that the numerical size-contrast effect remained significant throughout the grasping movement, despite a trend of gradual dissipation. Our findings demonstrated that interactions between number and action critically depend on the size-contrast of magnitude information in the context. Such a size-contrast effect might result from a general system, which is sensitive to relative magnitude, for different quantity domains. Alternatively, the magnitude representations of numbers and action might be processed separately and interact at a later stage of motor programming.

The common magnitude code underlying numerical and size processing for action but not for perception.

The interaction between numbers and action-related process has received increasing attention in the literature of numerical cognition. In the current study, two dual-task experiments were conducted to explore the interaction among numerical, prehension, and perceptual color/size judgments. The results revealed the commonality and distinctness of the magnitude representations that are involved in these tasks. Specifically, a photograph of a graspable object with a superimposed Arabic digit was presented in each trial. Participants were required to first judge the parity of the digit with a manual response while simultaneously planning a subsequent vocal response pertaining to the depicted object. When parity and action judgments were performed close in time, the compatibility effect between the numerical magnitude of the digit and the appropriate action (pinch vs. clutch) for the object was demonstrated in both manual and vocal responses. In contrast, such compatibility effect was absent when parity judgment was coupled with color-related or perceptual size judgment. The findings of the current study support the existence of a common magnitude code underlying numerical and non-numerical dimensions for action-related purposes, as proposed by the ATOM model (Walsh in Trends Cogn Sci 7:483-488, 2003). Furthermore, based on the selective presence of the compatibility effect, we argue that the interaction among different quantity dimensions conforms to the "dorsal-action and ventral-perception" organizational principle of the human brain.