Declarative and Procedural Strategies in Problem Solving: Evidence from the Toads and Frogs Puzzle

The relationship between theoretically-grounded hints, strategy selection, and solution performance in the Toads and Frogs puzzle, a well-structured problem in which weak methods are difficult to apply, is investigated through an experiment and an ACT-R simulation. The main results show that providing a state specific hint is useful in speeding up the adoption of a hybrid solution strategy, comprising both the retrieval of previous moves and the proceduralization of a domain-specific heuristic that avoids any kind of forward search. The implications of the results for the problem solving theory are discussed.

[1]  Allen Newell,et al.  Tower-noticing triggers strategy-change in the tower of Hanoi: a soar model , 1993 .

[2]  H A Simon,et al.  The theory of learning by doing. , 1979, Psychological review.

[3]  R. A. Carlson,et al.  Distributing working memory resources during problem solving. , 2001, Journal of experimental psychology. Learning, memory, and cognition.

[4]  A. Miyake,et al.  Models of Working Memory: Mechanisms of Active Maintenance and Executive Control , 1999 .

[5]  Andrew Howes,et al.  The Strategic Use of Memory for Frequency and Recency in Search Control , 2001 .

[6]  Allen Newell,et al.  Human Problem Solving. , 1973 .

[7]  H. Simon,et al.  Why are some problems hard? Evidence from Tower of Hanoi , 1985, Cognitive Psychology.

[8]  John R. Anderson Acquisition of cognitive skill. , 1982 .

[9]  C. Lebiere,et al.  The Atomic Components of Thought , 1998 .

[10]  Stephen K. Reed,et al.  Modeling strategy shifts in a problem-solving task , 1976, Cognitive Psychology.

[11]  G. Ward,et al.  Planning and Problem solving Using the Five disc Tower of London Task , 1997 .

[12]  Kenneth Kotovsky,et al.  Implicit learning in problem solving : The role of working memory capacity , 1997 .

[13]  John R. Anderson,et al.  History of Success and Current Context in Problem Solving Combined Influences on Operator Selection , 1996, Cognitive Psychology.

[14]  E. Berlekamp,et al.  Winning Ways for Your Mathematical Plays , 1983 .

[15]  G. Logan Toward an instance theory of automatization. , 1988 .

[16]  H. Simon,et al.  The functional equivalence of problem solving skills , 1975, Cognitive Psychology.

[17]  M E Masson,et al.  Further explorations with a process model for water jug problems , 1980, Memory & cognition.

[18]  Jiajie Zhang,et al.  Representations in Distributed Cognitive Tasks , 1994, Cogn. Sci..