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Carson, Robert N.; Rowlands, Stuart – Interchange: A Quarterly Review of Education, 2007
This paper explores the public awareness that there presently exists a crisis in mathematics education and a "dumbing down" of the curriculum, examines the nature of this crisis and argues that there has been a lowering of cultural, pedagogical and cognitive expectations with respect to most learners. The notion of cognitive development in…
Descriptors: Instructional Development, Mathematics Education, Metacognition, Cognitive Development
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Bogartz, Richard S. – Journal of Experimental Child Psychology, 1994
Reviews efforts to develop mathematical models in developmental psychology. Explores recent developments in using dynamical systems for modeling human psychological processes. Comments on the studies described in this journal issue on dynamic modeling of cognitive development. Suggests that using this framework holds great promise for clarifying…
Descriptors: Chaos Theory, Cognitive Development, Developmental Psychology, Developmental Stages
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Gardner, William – Psychometrika, 1990
This paper provides a method for analyzing data consisting of event sequences and covariate observations associated with Markov chains. The objective is to use the covariate data to explain differences between individuals in the transition probability matrices characterizing their sequential data. (TJH)
Descriptors: Cognitive Development, Equations (Mathematics), Estimation (Mathematics), Individual Differences