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The Development of Proportional Reasoning and the Ratio Concept: Part I - Differentiation of Stages.

Noelting, Gerald – Educational Studies in Mathematics, 1980
This study considers two problems related to cognitive development: "Is development hierarchical?" and "If so, what are the mechanisms involved in the process of development?" Analysis of the results of an experiment lead to differentiation of stages of development, and problem-solving strategies at each level are discussed.…
Descriptors: Abstract Reasoning, Cognitive Development, Concept Formation, Developmental Stages