Problem solving, recall, and mapping relations in isomorphic transfer and nonisomorphic transfer among preschoolers and elementary school children.

Analogical problem-solving processes were studied in 4 experiments using 5- and 7-move scheduling problems. Subjects were preschool and elementary school children. On each acquisition trial, the child heard a list of statements representing the exact series of moves necessary to solve the problem and was immediately asked to recall the list. Physical materials representing the problem were then produced and the child was asked to solve it. In transfer only setting/constraint information was provided prior to problem solving. In the first study, mapping processes were explored in nonisomorphic transfer tasks with different constraints and problem spaces. Mapping processes were very good, except when a feature of the base was mapped to a misleading cue in the transfer problems. The second study revealed that combining the problem-solving task with the recall task facilitated isomorphic transfer but not nonisomorphic transfer. The 2 remaining studies revealed that preschool children show excellent isomorphic transfer in both 5- and 7-move problems. The major developmental difference was in how the children ordered the propositions in their recall protocols. The findings were discussed in terms of problem spaces, flexibility of transfer, and developmental theory.

[1]  D. Gentner.  Structure‐Mapping: A Theoretical Framework for Analogy* , 1983 .

[2]  John R. Anderson,et al.  MACHINE LEARNING An Artificial Intelligence Approach , 2009 .

[3]  Stephen K. Reed,et al.  A structure-mapping model for word problems. , 1987 .

[4]  B. Ross.  This is like that: The use of earlier problems and the separation of similarity effects. , 1987 .

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

[6]  N. Nersessian.  Aether/or: The creation of scientific concepts , 1984 .

[7]  Frank C. Leeming,et al.  Problem solving, recall, isomorphic transfer, and nonisomorphic transfer among third-grade and fourth-grade children , 1988 .

[8]  Moshe Burstein,et al.  Concept formatio n by incremental analogica l reasoning and debugging , 1983 .

[9]  John H. Holland,et al.  Induction: Processes of Inference, Learning, and Discovery , 1987, IEEE Expert.

[10]  B. Ross.  Remindings and their effects in learning a cognitive skill , 1984, Cognitive Psychology.

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

[12]  L. R. Novick.  Analogical transfer, problem similarity, and expertise. , 1988, Journal of experimental psychology. Learning, memory, and cognition.

[13]  Patrick Henry Winston,et al.  Learning and reasoning by analogy , 1980, CACM.

[14]  D. Gentner.  Children's Performance on a Spatial Analogies Task. , 1977 .

[15]  A. Ortony,et al.  Similarity and Analogical Reasoning , 1991 .

[16]  Mary Jo Kane,et al.  Young children's mental models determine analogical transfer across problems with a common goal structure * , 1986 .

[17]  D. Gentner,et al.  Systematicity and Surface Similarity in the Development of Analogy. Technical Report No. 358. , 1985 .

[18]  J. Sweller,et al.  Effects of schema acquisition and rule automation on mathematical problem-solving transfer. , 1987 .

[19]  Philip N. Johnson-Laird,et al.  Mental Models in Cognitive Science , 1980, Cogn. Sci..

[20]  B. Gholson.  The cognitive-developmental basis of human learning : studies in hypothesis testing , 1980 .

[21]  K. Holyoak,et al.  Development of analogical problem-solving skill. , 1984, Child development.

[22]  K. Holyoak,et al.  Surface and structural similarity in analogical transfer , 1987, Memory & cognition.

[23]  Acquisition of an unfamiliar script in story form by young children. , 1984, Child development.

[24]  John Sweller,et al.  Cognitive Load During Problem Solving: Effects on Learning , 1988, Cogn. Sci..

[25]  J. Cantor.  Transfer of Stimulus Pretraining to Motor Paired-Associate and Discrimination Learning Tasks , 1965 .

[26]  Brian Falkenhainer,et al.  The Structure-Mapping Engine * , 2003 .

[27]  K. Duncker,et al.  On problem-solving , 1945 .

[28]  K. Holyoak,et al.  Schema induction and analogical transfer , 1983, Cognitive Psychology.

[29]  Ann L. Brown.  Analogical learning and transfer: what develops? , 1989 .

[30]  P. Johnson-Laird.  Mental models , 1989 .

[31]  R. Sternberg,et al.  The development of analogical reasoning processes. , 1979, Journal of experimental child psychology.

[32]  Richard J. Vondruska,et al.  Salience, similes, and the asymmetry of similarity , 1985 .

[33]  J. Carbonell.  Learning by Analogy: Formulating and Generalizing Plans from Past Experience , 1983 .

[34]  Barbara Lust,et al.  Studies in the cognitive basis of language development , 1975 .

[35]  K. Holyoak,et al.  Analogical problem solving , 1980, Cognitive Psychology.

[36]  Katherine Nelson,et al.  Effects of script structure on children's story recall. , 1983 .

[37]  W. Kintsch,et al.  Strategies of discourse comprehension , 1983 .

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

[39]  D. H. Wheeler,et al.  The early growth of logic in the child : classification and seriation , 1965 .

[40]  Alan G. Kamhi,et al.  Problem Solving, Recall, and Isomorphic Transfer among Third-Grade and Sixth-Grade Children. , 1987 .