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The Effects of Base Ratio and Conceptual Structure on Accuracy in Multiplicative Situations

We examined the effects of base ratio and conceptual structure on accuracy in multiplicative situations. Forty-eight 3rd and 5th graders solved 36 problems that varied in base ratio and conceptual structure. ANOVA results indicated that conceptual structure made a greater impact on accuracy than did the size of the base ratio. The effect of structural constraint on accuracy supports the call for deeper conceptual instruction and learning in mathematics education.