Fractions

Connecting symbolic fractions to their underlying proportions using iterative partitioning
Using variations on paritioning area models gives children different levels of improvements in matching symbolic and visual fractions.
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Fraction Magnitude: Mapping Between Symbolic and Spatial Representations of Proportion
Exploring the difference between using number lines and pie charts to visualize fraction magnitude.
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Talking about proportion: Fraction labels impact numerical interference in non‐symbolic proportional reasoning
Labeling non-symbolic proportions increases likelihood of matching displays based on proportion as compared to whole number information.
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Children’s understanding of fraction and decimal symbols and the notation-specific relation to pre-algebra ability
Representing magnitude using both decimal and fraction notation shows differences in accuracy.
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A systematic investigation of the link between rational number processing and algebra ability
Fluency in fraction and decimal notation uniquely predict algebraic ability.
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Working memory strategies during rational number magnitude processing
Both verbal and visuospatial working memory resources are utilized when comparing rational number magnitudes.
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Rational-Number Comparison Across Notation: Fractions, Decimals, and Whole Numbers
Ratio-dependenct performance when comparing the relative magnitudes of rational numbers across notations.
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Biases and benefits of number lines and pie charts in proportion representation
Adult reasoning of proportions across different symbolic and spatial representations.
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