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Elementary School Students' Quantitative Reasoning: Processing Whole Numbers And Proportions, Ty W. Boyer, Natalie Branch

Department of Psychology Faculty Publications

Elementary school-aged children have great difficulty reasoning proportionally and struggle with fractions and decimals, theoretically because proportions do not abide by the same principles as more familiar whole number quantities. The present study examines individual differences in proportional reasoning and whole number representations and tests a prediction for a nonlinearity in the development of relations between the two. Pre-kindergarten through fifth-grade students completed a battery of computerized tasks, including a proportional reasoning task, “which is more?” and “which is #?” whole number comparison tasks, and symbolic and nonsymbolic numerical line-estimation tasks. The results indicate that though younger children’s performance on …