Solving the Tower of Hanoi: does mode of presentation matter?

Abstract Three studies are reported which consider different presentation modes for the Tower of Hanoi puzzle: these are computer and physical models, and a mental representation. Individuals were found to be most efficient when using a mental representation, but the costs were longer times and a greater probability of failure. This efficiency was thought to be in part due to providing a verbal protocol whilst problem-solving. Using a computer was more likely to guarantee success, but only after generating more moves, albeit in a shorter time. Features of the computer display and the alleviation of the load on working memory were thought to explain why this presentation mode was more successful. It is suggested that computers make us inefficient at the problem-solving process.

[1]  Herre Oostendorp,et al.  Learning by exploration: Thinking aloud while exploring an information system , 1999 .

[2]  Phil Chambers,et al.  Information Handling Skills, Cognition and New Technologies , 1999, Br. J. Educ. Technol..

[3]  S. Ian Robertson,et al.  Problem-solving , 2001, Human Thinking.

[4]  T. N. White,et al.  Learning user interfaces by exploration , 1996 .

[5]  Timothy D. Wilson,et al.  Telling more than we can know: Verbal reports on mental processes. , 1977 .

[6]  Mary E. Ahlum-Heath,et al.  The effect of conscious controlled verbalization cognitive strategy on transfer in problem solving , 1986, Memory & cognition.

[7]  Dianne C. Berry,et al.  Metacognitive Experience and Transfer of Logical Reasoning , 1983 .

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

[9]  Fred Paas,et al.  Web-enhanced higher education: a tower of Babel , 2001, Comput. Hum. Behav..

[10]  M Beveridge,et al.  Visual representation in analogical problem solving , 1987, Memory & cognition.

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

[12]  Jean-Marc Robert.  LEARNING BY EXPLORATION , 1985 .

[13]  K. A. Ericsson,et al.  Protocol Analysis: Verbal Reports as Data , 1984 .

[14]  H. Davis,et al.  A longitudinal study of the performance of the elderly and young on the Tower of Hanoi puzzle and Rey recall. , 2001, Brain and cognition.

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

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

[17]  Kenneth Kotovsky,et al.  Complex Information Processing: The Impact of Herbert A. Simon , 1989 .

[18]  Herbert A. Simon,et al.  Information-Processing Theory of Human Problem Solving , 1978 .

[19]  Jiajie Zhang,et al.  The Interaction of Internal and External Representations in a Problem Solving Task , 1990 .

[20]  Michael A. Bauer,et al.  Transfer effects in isomorphic problem situations , 1978 .

[21]  Allen Avner,et al.  Interacting with computer users: Design considerations , 1980 .

[22]  Stephen K. Reed,et al.  Usefulness of Tables for Solving Word Problems , 1987 .

[23]  Mark F. Brennan,et al.  Error and Temporal Patterns in Tower of Hanoi Performance: Cognitive Mechanisms and Individual Differences , 1995 .

[24]  Herre van Oostendorp,et al.  Learning by exploration: Thinking aloud while exploring an information system , 1999 .

[25]  Jonathan Cagan,et al.  Simulated Annealing and the Generation of the Objective Function: A Model of Learning During Problem Solving , 1997, Comput. Intell..

[26]  John R. Anderson,et al.  Tower of Hanoi: evidence for the cost of goal retrieval. , 2001, Journal of experimental psychology. Learning, memory, and cognition.

[27]  Sudeshna Sarkar,et al.  Learning while solving problems in best first search , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[28]  R. L. Dominowski,et al.  Metacognition and problem solving : A process-oriented approach. , 1995 .

[29]  R. Byrne.  Planning meals: Problem-solving on a real data-base , 1977, Cognition.

[30]  S. Davies,et al.  Move Evaluation as a Predictor and Moderator of Success in Solutions to Well-Structured Problems , 2000, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[31]  K. A. Ericsson,et al.  Verbal reports as data. , 1980 .

[32]  Herbert A Simon,et al.  The understanding process: Problem isomorphs , 1976, Cognitive Psychology.

[33]  Stephen K. Reed,et al.  The role of analogy in transfer between similar problem states , 1974 .

[34]  J. H. Larkin,et al.  Display-based problem solving , 1989 .

[35]  Herre van Oostendorp,et al.  Towards Modelling Exploratory Learning in the Context of Direct Manipulation Interfaces , 1995, Interact. Comput..