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268                         Adaptation

            to complex undertakings. The complexity of the total skill set – symbolized in
            the figure by the height of the vertically stacked single-skill learning curves –
            increases over time. Because the two movements – streamlining individual
            subskills and broadening the repertoire – push cognitive complexity in oppo-
            site directions, it is impossible to derive specific predictions about the time
            course of complexity in the long-term growth of competence.
               In short, competence grows along three dimensions, each with its own
            shape. The mastery of each individual skill follows a negatively accelerated
            curve of improvement that is driven both by the elimination of errors and
            other unnecessary steps and by the optimization and speedup of the remain-
            ing steps. The discovery of new, more powerful strategies for individual tasks
            superimposes the multiple overlapping waves pattern on the learning curves
            for individual skills. Progress follows the learning curve for each strategy, but
            the strategies that apply to the same task also succeed each other over time,
            resulting in the inverted U-shaped pattern in the frequency of use of any one
            strategy. Finally, the changes in performance on each subtask are embedded
            within the widening repertoire of distinct but interrelated skills. At the 10-year
            time band, the growth of competence is not well described as a big learning
            curve, except in certain special cases. Instead, there is a growth of complexity
            as more subskills are integrated into the overall competence. The three move-
            ments depicted in Figures 8.1, 8.4 and 8.5 do not combine to produce any over-
            all pattern or regularity, as far as we know. The internal mechanics of learning
            from error impacts the shape of the learning curve for individual strategies
            but do not punch through to the overlapping waves pattern or the growth of
            complexity, both of which are due to other factors.


                                The Anatomy of Competence

            The end point of extended practice is expertise. Empirical studies of experts
            as well as efforts to implement expert systems in Artificial Intelligence have
            converged on three characteristics of expertise: the large size of the expert’s
            knowledge base, the domain specificity of expert knowledge and the ability of
            experts to behave flexibly.


            Size of knowledge base
            Why does it take so long to become expert? The answer is that there is a lot
            to learn. Simple skills like tying a bowline knot, mastering a new cell phone
            and finding one’s way around an unfamiliar shopping center can be captured
            in one or two dozen goal-situation-action rules. Not so expertise. We have
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