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      Toward a Unified Theory of Development Connectionism and Dynamic System Theory Re-Consider 

      Timescales of Change in Connectionist and Dynamical Systems Approaches to Learning and Development

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          Abstract

          This chapter examines the origins of the construct of timescales as expressed in Waddington's (1957) metaphor for development of the epigenetic landscape, and its subsequent use as a metaphor for change in learning/development in theoretical frameworks, both connectionist and dynamical systems. It presents an epigenetic landscape model for motor learning and development, which is constructed as a low-dimensional approximation of a high-dimensional (or infinitely dimensional) complex dynamical system that possesses a score, error, or fitness function. The chapter concludes by illustrating briefly three case studies of the timescales of change in the epigenetic landscape framework to motor learning and development.

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          A new look at the statistical model identification

          IEEE Transactions on Automatic Control, 19(6), 716-723
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            Synergetics

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              The power law repealed: the case for an exponential law of practice.

              The power function is treated as the law relating response time to practice trials. However, the evidence for a power law is flawed, because it is based on averaged data. We report a survey that assessed the form of the practice function for individual learners and learning conditions in paradigms that have shaped theories of skill acquisition. We fit power and exponential functions to 40 sets of data representing 7,910 learning series from 475 subjects in 24 experiments. The exponential function fit better than the power function in all the unaveraged data sets. Averaging produced a bias in favor of the power function. A new practice function based on the exponential, the APEX function, fit better than a power function with an extra, preexperimental practice parameter. Clearly, the best candidate for the law of practice is the exponential or APEX function, not the generally accepted power function. The theoretical implications are discussed.
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                Author and book information

                Book Chapter
                June 1 2009
                : 119-138
                10.1093/acprof:oso/9780195300598.003.0006
                b9df0ab8-a82e-4d18-a852-4541e953538c
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