# Conceptual knowledge of fraction arithmetic.

@article{Siegler2015ConceptualKO, title={Conceptual knowledge of fraction arithmetic.}, author={R. Siegler and Hugues Lortie-Forgues}, journal={Journal of Educational Psychology}, year={2015}, volume={107}, pages={909-918} }

Understanding an arithmetic operation implies, at minimum, knowing the direction of effects that the operation produces. However, many children and adults, even those who execute arithmetic procedures correctly, may lack this knowledge on some operations and types of numbers. To test this hypothesis, we presented preservice teachers (Study 1), middle school students (Study 2), and math and science majors at a selective university (Study 3) with a novel direction of effects task with fractions… CONTINUE READING

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