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Inconsistent operations: A weapon of math disruption
Author(s) -
Jarosz Andrew F.,
Jaeger Allison J.
Publication year - 2018
Publication title -
applied cognitive psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 100
eISSN - 1099-0720
pISSN - 0888-4080
DOI - 10.1002/acp.3471
Subject(s) - foregrounding , numerical cognition , psychology , division (mathematics) , multiplication (music) , cognitive psychology , word (group theory) , narrative , contiguity , cognition , arithmetic , cognitive science , linguistics , computer science , mathematics , geometry , philosophy , combinatorics , neuroscience , operating system
Summary Word problems embed a math equation within a short narrative. Due to their structure, both numerical and linguistic factors can contribute to problem difficulty. The present studies explored the role of irrelevant information in word problems, to determine whether its negative impact is due to numerical (foregrounding hypothesis) or linguistic (inconsistent‐operations hypothesis) interference. Across three experiments, participants solved multiplication and division word problems containing irrelevant numerical information, which was either associated or disassociated with the protagonist. Results demonstrated increased solution errors on division problems when irrelevant numbers were disassociated with the protagonist. When memory for numerical information was emphasized, disassociation was specifically impacted low‐working memory individuals. The effect of disassociation on division performance persisted even when irrelevant numbers, but not words, were removed from problems. These results suggest that, even in the presence of numerically interfering information, it is the language of word problems that often drive their difficulty.