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Braithwaite, David W.; Tian, Jing; Siegler, Robert S. – Developmental Science, 2018
Many children fail to master fraction arithmetic even after years of instruction. A recent theory of fraction arithmetic (Braithwaite, Pyke, & Siegler, 2017) hypothesized that this poor learning of fraction arithmetic procedures reflects poor conceptual understanding of them. To test this hypothesis, we performed three experiments examining…
Descriptors: Fractions, Addition, Arithmetic, Hypothesis Testing
Bailey, Drew H.; Siegler, Robert S.; Geary, David C. – Developmental Science, 2014
Recent findings that earlier fraction knowledge predicts later mathematics achievement raise the question of what predicts later fraction knowledge. Analyses of longitudinal data indicated that whole number magnitude knowledge in first grade predicted knowledge of fraction magnitudes in middle school, controlling for whole number arithmetic…
Descriptors: Predictor Variables, Middle School Students, Mathematical Concepts, Mathematics Instruction