Children's Logical and Mathematical Cognition

1 Conservation-Nonconservation: Alternative Explanations.- Conservation and the Appreciation of an Identity Rule.- Operational and Nonoperational Conservation.- Nonconservation and the Overreliance on Perceptual Cues.- Pseudononconservation.- Nonoperational Conservation.- Conclusions.- Future Research: The Development of the Identity Rule.- Reference Notes.- References.- 2 The Acquisition and Elaboration of the Number Word Sequence.- Acquisition of the Sequence.- Elaboration of the Sequence.- Conclusion.- Reference Notes.- References.- 3 Children's Concepts of Chance and Probability.- Piagetian Theory.- Subsequent Studies.- Theoretical Implications.- References.- 4 The Development of Quantity Concepts: Perceptual and Linguistic Factors.- Linguistic Factors and the Development of Quantity Concepts.- A Taxonomy of Quantity Concepts.- The Relationship between Language and Thought in the Child.- Study 1: Concept versus Language.- Study 2: Does Language Training Facilitate Concept Acquisition?.- Study 3: Visual versus Verbal Functions.- Study 4: Training of Cognitive and Language Abilities.- Study 5: Cognitive Development of Children with Impaired Language Development.- Study 6: The Abstraction of the Concept of Number.- Conclusion.- Reference Notes.- References.- 5 Culture and the Development of Numerical Cognition: Studies among the Oksapmin of Papua New Guinea.- Methodology and Cross-Cultural Number Research.- The Oksapmin Community.- Studies on Numerical Cognition among the Oksapmin.- Concluding Remarks.- Reference Notes.- References.- 6 Children's Concept Learning as Rule-Sampling Systems with Markovian Properties.- Concept Learning as Rule Sampling.- Some Questions about Concept Learning.- Some Experimental Evidence.- Remark.- References.