When 2 × 4 is meaningful: the N400 and P300 reveal operand format effects in multiplication verification

• Published in: Psychophysiology 2018-11, Vol.55 (11), p.e13212-n/a
• Main Authors: Dickson, Danielle S., Cerda, Vanessa R., Beavers, Rosemary N., Ruiz, Andres, Castañeda, Ricardo, Wicha, Nicole Y.Y.
• Format: Article
• Language: English
• Subjects: arithmetic; ERPs; Event-related potentials; Expectancy; Information processing; Mathematics; N400; Numbers; numerical cognition; P300; Semantics; spoken number words
• ISSN: 0048-5772; 1469-8986; 1540-5958
• DOI: 10.1111/psyp.13212

Arithmetic problems share many surface‐level features with typical sentences. They assert information about the world, and readers can evaluate this information for sensibility by consulting their memories as the statement unfolds. When people encounter the solution to the problem 3 × 4, the brain elicits a robust ERP effect as a function of answer expectancy (12 being the expected completion; 15 being unexpected). Initially, this was labeled an N400 effect, implying that semantic memory had been accessed. Subsequent work suggested instead that the effect was driven by a target P300 to the correct solutions. The current study manipulates operand format to differentially promote access to language‐based semantic representations of arithmetic. Operands were presented either as spoken number words or as sequential Arabic numerals. The critical solution was always an Arabic numeral. In Experiment 1, the correctness of solutions preceded by spoken operands modulated N400 amplitude, whereas solutions preceded by Arabic numerals elicited a P300 for correct problems. In Experiment 2, using only spoken operands, the delay between the second operand and the Arabic numeral solution was manipulated to determine if additional processing time would result in a P300. With a longer delay, an earlier N400 and no distinct P300 were observed. In brief, highly familiar digit operands promoted target detection, whereas spoken numbers promoted semantic level processing—even when solution format itself was held constant. This provides evidence that the brain can process arithmetic fact information at different levels of representational meaningfulness as a function of symbolic format.