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Interleaving area problems in the 4 th grade classroom:What is the role of context and practice?

Abstract

Typical mathematics instruction involves blocked practiceacross a set of conceptually similar problems. Interleaving, orpractice across a set of conceptually dissimilar problems,improves learning and transfer by repeatedly reloadinginformation and increasing discrimination of problemfeatures. Similarly, comparing problems across differentcontexts highlights relevant and irrelevant knowledge. Ourexperiment is the first to investigate the relative effects ofinterleaving geometry problems and interleaving contexts.Thirty-three fourth-grade students received the same practiceproblems but were randomly assigned to one of threeconditions: interleaved by math skill, interleaved by context,and interleaved by math skill and by context (i.e., hyper-interleaved). Afterward, each participant was exposed to testsassessing declarative and procedural knowledge. The resultssuggest that interleaving math skill within varying contextsenhances the acquisition of mathematical procedures.

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