Tc. Rickard, BENDING THE POWER-LAW - A CMPL THEORY OF STRATEGY SHIFTS AND THE AUTOMATIZATION OF COGNITIVE SKILLS, Journal of experimental psychology. General, 126(3), 1997, pp. 288-311
The shift with practice from use of generic, multistep problem-solving
strategies to fast and relatively effortless memory-based strategies,
was explored in 2 experiments using pseudoarithmetic tasks. A complet
e transition to the memory strategy occurred by about the 60th exposur
e to each problem. The power law of practice did not hold in the overa
ll data for either the mean or the standard deviation of response late
ncy, but it did hold within each strategy (algorithm or retrieval). Le
arning was highly specific to the practiced problems. These results co
nstitute the Ist clear demonstration of a skill for which the power la
w does not apply overall. The results do not support the instance theo
ry of automatization (G. D. Logan, 1988) but are consistent with an al
ternative component power laws (CMPL) theory that assumes that because
of intrinsic attentional limitations, only 1 strategy can be executed
at a time.