Mental rotation

Mental rotation is the ability to rotate mental representations of two-dimensional and three-dimensional objects.

Introduction

Mental rotation is somewhat localized to the right cerebral hemisphere. It is thought to take place largely in the same areas as perception. It is associated with the rate of spatial processing and intelligence (Johnson 1990, Jones 1982, Hertzog 1991).

Mental rotation can be separated into the following cognitive stages (Johnson 1990):

1. Create a mental image of an object
2. Rotate the object mentally until a comparison can be made
3. Make the comparison
4. Decide if the objects are the same or not
5. Report the decision

How mental rotation ability is assessed

In a mental rotation test, the subject is asked to compare two 3D objects (or letters) and state if they are the same image or if they are mirror images (enantiomorphs). Commonly, the test will have pairs of images each rotated a specific amount of degrees (eg. 0º, 60º, 120º or 180º). Some pairs will be the same image rotated, and others will be mirrored. The subject will be shown a set number of the pairs. The subject will be judged on how accurately and rapidly they can distinguish between the mirrored and non-mirrored pairs.

Notable research

Roger Shepard and Jacqueline Metzler (1971) originally discovered this phenomenon. Their research showed that the reaction time for participants to decide if the pair of items matched or not was linearly proportional to the angle of rotation from the original position. That is, the more an object has been rotated from the original, the longer it takes an individual to determine if the 2 images are of the same object or enantiomorphs (Sternberg 247). Shortly afterwards, Robert Sekuler and David Nash (1972) demonstrated that a pair of mental transformations, size scaling and rotation, could be carried out in parallel.

In further research, Shepard and Cooper (1982) have proposed the concept of a "Mental Imagery" facility, which is responsible for the ability to mentally rotate visual forms. Additionally, it has been found it does not matter on which axis an object is rotated, but rather the degree to which it is rotated that has the most significant effect on response time. So rotations within the depth plane (i.e., 2D rotations) and rotations in depth (3D rotations) behave similarly. Thus, the matching requires more time as the amount of depth rotation increases, just as for within the depth plane.

In subsequent research, it has been found that response times increase for degraded stimuli and can decrease when participants are allowed to practice mentally rotating imagery (Sternberg 247). This research has been instrumental in showing how people use mental representations to navigate their environments.

Also, males tend to be slightly faster in mental rotation tasks than females. The ability to rotate mentally (measured in terms of decline in response time) peaks in young adult-hood, and declines thereafter.^[1]

Recent breakthroughs in nuclear magnetic resonance have allowed psychologists to discover what parts of the brain correspond to the use of this mental imagery function. Using Functional Magnetic Resonance Imaging, psychologists have shown that when participants are performing mental rotation tasks, there is activation in Brodmann's areas 7A and 7B, the middle frontal gyrus, extra-striate cortex, the hand somastosensory cortex, and frontal cortex (Cohen et al.).

Other recent research has centered on whether there might be multiple neural systems for the rotation of mental imagery. Parsons (1987) found that when participants were presented with line drawings of hands rather than Shepard and Metzler-like 3D blocks showed embodiment effects in which participants were slower to rotate hand stimuli in directions that were incompatible with the way human wrist and arm joints move. This finding suggested that the rotation of mental imagery was underlain by multiple neural systems: that is, (at least) a motoric/tactile one as well as a visual one. In a similar vein Amorim, Isableu and Jarraya (2006) have found that adding a cylindric "head" to Shepard and Metzler line drawings of 3D objects can create facilitation and inhibition effects as compared to standard Metzler-like stimuli, further suggesting that these neural systems rely on embodied cognition.

Studies of the development of mental rotation have revealed the emergence of this ability in male infants by 5 months of age (Moore & Johnson, 2008).

See also

• Mental event
• Mental image

External links

• Mental rotation lesson using PsyToolkit (with Java demonstration)
• Mental rotation training/testing flash application

References

1. ^ http://www.psych.uni.edu/psychexps/InstrOnly_Page/mentalrotation.htm

• Amorim, Michel-Ange, Brice Isableu and Mohammed Jarraya (2006) Embodied Spatial Transformations: “Body Analogy” for the Mental Rotation. Journal of Experimental Psychology: General.
• Cohen, M. "Changes in Cortical Activities During Mental Rotation: A mapping study using functional magnetic resonance imaging" 1996 February 12, 2006 http://airto.bmap.ucla.edu/BMCweb/BMC_BIOS/MarkCohen/Papers/Rotate.pdf
• Hertzog C., and Rypma B. (1991). Age differences in components of mental rotation task performance. Bulletin of the Psychonomic Society, 29(3), 209-212.
• Johnson A.M. (1990). Speed of mental rotation as a function of problem solving strategies. Perceptual and Motor Skills, 71, 803-806.
• Jones B., and Anuza T. (1982). Effects of sex, handeness, stimulus and visual field on "mental rotation". Cortex, 18, 501-514.
• Mental Rotation Experiment. Feb 20, 2006. <http://psychexps.olemiss.edu/InstrOnly_Page/mentalrotation.htm>
• Moore, D. S. and Johnson, S. P. (2008). Mental rotation in human infants: A sex difference. Psychological Science, 19, 1063-1066.
• Parsons, Lawrence M. (1987) Imagined spatial transformations of one’s hands and feet. Cognitive Psychology 19: 178-241.
• Rohrer, T. (2006). The Body in Space: Dimensions of embodiment. In Body, Language and Mind, vol. 2. Zlatev, Jordan; Ziemke, Tom; Frank, Roz; Dirven, René (eds.). Berlin: Mouton de Gruyter, forthcoming 2006.
• Sekuler, R and Nash, D. "Speed of size scaling in human vision." Psychonomic Science 1972, 27(2), 93-94.
• Shepard, R and Cooper, L. "Mental images and their transformations." Cambridge, MA: MIT Press, 1982.
• Shepard, R and Metzler. J. "Mental rotation of three dimensional objects." Science 1971. 171(972):701-3.
• Sternberg, R.J. (2006).Cognitive Psychology 4th Edition. Belmont, CA: Thomson
• Yule, Peter. "A new spin on mental rotation." 1997 University of London. February 12, 2006 <http://www.psyc.bbk.ac.uk/people/associates/pgy/notes/rotation/>.