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Fig. 3 | Cognitive Research: Principles and Implications

Fig. 3

From: Mastering algebra retrains the visual system to perceive hierarchical structure in equations

Fig. 3

Object-based attention for algebraic sub-expressions predicts algebra performance. Participants’ within-object advantage in discriminability (horizontal axis) was used as an index of object-based attention for algebraic sub-expressions. For Syntax Non-Knowers (right panel), object-based attention was unrelated to algebra task accuracy (vertical axis). For Syntax Knowers (left panel), by contrast, algebra performance improved with increasing object-based attention. Dots represent individuals. Black lines show lines of best fit that illustrate the relation between individuals’ within-object advantage and their mean accuracy on the algebra task. Density plots show marginal densities for object-based attention (top) and accuracy on Algebraic Equivalence trials (right)

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