, Volume 27, Issue 4, pp 417–418 | Cite as

A note on mathematical models for learning

  • Herbert A. Simon


It is shown that a rational learning curve developed by Estes for paired associate learning is a special case of a more general function. The latter is the product of two functions and assumes that the discovery and fixation aspects of learning are independent. The indications are that the form of one of the functions has not been tested sharply by Estes in the paired associate learning setting.


Mathematical Model General Function Public Policy Learning Curve Statistical Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. [1]
    Bower, G. W. Application of a model to paired-associate learning.Psychometrika, 1961,26, 255–280.Google Scholar
  2. [2]
    Estes, W. K. Growth and function of mathematical models for learning.Current Trends in psychological theory, 1959, pp. 134–151. Pittsburgh: Univ. Pittsburgh Press, 1961.Google Scholar
  3. [3]
    Simon, H. A. Amounts of fixation and discovery in maze learning behavior.Psychometrika, 1957,22, 261–268.Google Scholar

Copyright information

© Psychometric Society 1962

Authors and Affiliations

  • Herbert A. Simon
    • 1
  1. 1.Carnegie Institute of TechnologyUSA

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