Amy Guthormsen: ERP as a Measure of Alignment Between Mathematic and Semantic Relations

Abstract

Previous research on mathematical problem solving has shown that people tend to select mathematical operations that are structurally aligned with the semantic relations between objects in a problem. In particular, taxonomically related objects (tulips and roses) elicit addition, whereas thematically related objects (tulips and vases) elicit division. This could be a strategic, conscious process, or it could be a more automatic tendency. Psycholinguistic research using event related potentials has established reliable differential brain responses to semantically anomalous words in a sentence - the N400 effect. If semantic alignment processes are a natural part of reading mathematical word problems, it is conceivable that misaligned mathematical expressions would elicit a similar effect. We compared ERPs elicited by semantically aligned (4 tulips + 2 roses) and semantically misaligned (4 tulips + 2 vases) math problems, to determine whether N400 amplitude can be used as an electrophysiological marker of misalignment.