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Heller, Patricia M.; And Others – Journal of Research in Science Teaching, 1989
Investigates the effects of two context variables on the performance of seventh-grade students on a qualitative and numerical proportional reasoning test. Explores the nature of the relationships between rational number skills, qualitative reasoning about ratios, and numerical proportional reasoning. (Author/YP)
Descriptors: Abstract Reasoning, Formal Operations, Grade 7, Problem Sets
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Niaz, Mansoor – Journal of Research in Science Teaching, 1989
Investigates the effect of cognitive style on the performance of college students on proportional reasoning tasks. Reports that students having proportional reasoning can be misled by the presence of field effects and that there was a significant correlation between the test of field independence and the items of proportional reasoning. (Author/YP)
Descriptors: Abstract Reasoning, Cognitive Style, College Science, Field Dependence Independence
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Cramer, Kathleen; Post, Thomas – Arithmetic Teacher, 1993
Defines the mathematical concept of proportionality. Uses graphs of linear relationships to explore and make generalizations about the characteristics of proportional situations to help students critically evaluate problems involving proportions. (MDH)
Descriptors: Abstract Reasoning, Formal Operations, Graphs, Mathematical Applications
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Fleener, M. Jayne; And Others – 1993
Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…
Descriptors: Abstract Reasoning, Algorithms, Cognitive Development, Formal Operations