Modelling individual variability in cognitive development

Investigating variability in reasoning tasks can provide insights into key issues in the study of cognitive development. These include the mechanisms that underlie developmental transitions, and the distinction between individual differences and developmental disorders. We explored the mechanistic basis of variability in two connectionist models of cognitive development, a model of the Piagetian balance scale task (McClelland, 1989) and a model of the Piagetian conservation task (Shultz, 1998). For the balance scale task, we began with a simple feed-forward connectionist model and training patterns based on McClelland (1989). We investigated computational parameters, problem encodings, and training environments that contributed to variability in development, both across groups and within individuals. We report on the parameters that affect the complexity of reasoning and the nature of ‘rule’ transitions exhibited by networks learning to reason about balance scale problems. For the conservation task, we took the task structure and problem encoding of Shultz (1998) as our base model. We examined the computational parameters, problem encodings, and training environments that contributed to variability in development, in particular examining the parameters that affected the emergence of abstraction. We relate the findings to existing cognitive theories on the causes of individual differences in development.

[1]  P. Vernon Speed of Information-Processing and Intelligence: , 1988 .

[2]  R. Siegler Developmental Sequences within and between Concepts. , 1981 .

[3]  James L. McClelland,et al.  Dynamical and connectionist approaches to development: toward a future of mutually beneficial co-evolution , 2009 .

[4]  Michael R. W. Dawson,et al.  Interpreting the Internal Structure of a Connectionist Model of the Balance Scale Task , 2003 .

[5]  Young Children's Knowledge of Balance Scale Problems , 1987 .

[6]  R. Sternberg,et al.  What is Intelligence?: Contemporary Viewpoints on its Nature and Definition , 1986 .

[7]  Charles X. Ling,et al.  A Decision-Tree Model of Balance Scale Development , 1996, Machine Learning.

[8]  R. Kail Developmental change in speed of processing during childhood and adolescence. , 1991, Psychological bulletin.

[9]  C. Brainerd,et al.  Order of Acquisition of Number and Quantity Conservation. , 1972 .

[10]  Robert S Siegler,et al.  Development of rules and strategies: balancing the old and the new. , 2002, Journal of experimental child psychology.

[11]  R. H. Walters The Growth of Logical Thinking from Childhood to Adolescence , 1960 .

[12]  R. Siegler Microgenetic Studies of Self-Explanation , 2002 .

[13]  James L. McClelland,et al.  A connectionist model of a continuous developmental transition in the balance scale task , 2009, Cognition.

[14]  D. Garlick Understanding the nature of the general factor of intelligence: the role of individual differences in neural plasticity as an explanatory mechanism. , 2002, Psychological review.

[15]  A. J. Wall,et al.  Number conservation: the roles of reversibility, addition-subtraction, and misleading perceptual cues. , 1967, Child development.

[16]  N. Anderson,et al.  Comparison of two rule-assessment methodologies for studying cognitive development and knowledge structure. , 1982 .

[17]  James L. McClelland,et al.  On the control of automatic processes: a parallel distributed processing account of the Stroop effect. , 1990, Psychological review.

[18]  Robert J. Sternberg,et al.  Components of human intelligence , 1983, Cognition.

[19]  P. H. Miller,et al.  Perceptual information in conservation: effects of screening. , 1975, Child development.

[20]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..

[21]  H. H. Spitz Intellectual Extremes, Mental Age, and the Nature of Human Intelligence. , 1982 .

[22]  R. Siegler,et al.  How Does Change Occur: A Microgenetic Study of Number Conservation , 1995, Cognitive Psychology.

[23]  Brenda R. J. Jansen,et al.  Re-thinking stages of cognitive development: An appraisal of connectionist models of the balance scale task , 2007, Cognition.

[24]  Klaas Sijtsma,et al.  The Linear Logistic Test Model and heterogeneity of cognitive strategies , 1989 .

[25]  Christian Lebiere,et al.  The Cascade-Correlation Learning Architecture , 1989, NIPS.

[26]  James L. McClelland,et al.  Connectionist models of cognition. , 2008 .

[27]  I. Deary,et al.  Inspection time and intelligence , 2001 .

[28]  Brenda R. J. Jansen,et al.  The development of children's rule use on the balance scale task. , 2002, Journal of experimental child psychology.

[29]  Michael Anderson,et al.  The Development of Intelligence , 1999 .

[30]  Yoshio Takane,et al.  Rule following and rule use in the balance-scale task , 2007, Cognition.

[31]  A. Pollatsek,et al.  Learning to Understand the Balance Beam , 1986 .

[32]  G. Halford,et al.  Young children's performance on the balance scale: the influence of relational complexity. , 2002, Journal of experimental child psychology.

[33]  Daniel Ansari,et al.  Using developmental trajectories to understand developmental disorders. , 2009, Journal of speech, language, and hearing research : JSLHR.

[34]  S. Usui Neural Computing , 1989, IFIP Congress.

[35]  S Hale,et al.  A global developmental trend in cognitive processing speed. , 1990, Child development.

[36]  R. Siegler Three aspects of cognitive development , 1976, Cognitive Psychology.

[37]  Brenda R. J. Jansen,et al.  What response times tell of children's behavior on the balance scale task. , 2003, Journal of experimental child psychology.

[38]  Robbie Case,et al.  Intellectual development : birth to adulthood , 1985 .

[39]  Frank N. Dempster Inhibitory processes: A negleted dimension of intelligence , 1991 .

[40]  Brenda R. J. Jansen,et al.  Statistical Test of the Rule Assessment Methodology by Latent Class Analysis , 1997 .

[41]  J. Piaget The Child's Conception of Number , 1953 .

[42]  G. Halford,et al.  Do Young Children Understand Conservation of Number , 1985 .

[43]  Michael S. C. Thomas,et al.  Connectionist Models of Development, Developmental Disorders and Individual Differences Pre-existing Theoretical Claims , 2022 .

[44]  Michael Anderson Intelligence and Development: A Cognitive Theory , 1992 .

[45]  Todd Lubart,et al.  Models of Intelligence: International Perspectives , 2003 .

[46]  G. Winer,et al.  Conservation of different quantities among preschool children. , 1974, Child development.

[47]  Thomas R. Shultz,et al.  Modeling cognitive development on balance scale phenomena , 1994, Machine Learning.

[48]  B. J. Anderson,et al.  A Computational Analysis of Conservation , 2000 .

[49]  Maarten van Someren,et al.  Modeling developmental transitions on the balance scale task , 2003, Cogn. Sci..

[50]  Thomas R. Shultz,et al.  Development of Children's Seriation: A Connectionist Approach , 1999, Connect. Sci..

[51]  Anders Krogh,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[52]  E. Butterfield,et al.  Are children's rule-assessment classifications invariant across instances of problem types? , 1986, Child development.

[53]  Robert S. Siegler,et al.  The Development of Numerical Understandings , 1982 .

[54]  James L. McClelland Parallel Distributed Processing: Implications for Cognition and Development , 1988 .

[55]  David F. Bjorklund,et al.  The resources construct in cognitive development: Diverse sources of evidence and a theory of inefficient inhibition. , 1990 .