INHIBITION IS KEY: A COGNITIVE APPROACH TO SUCCESSFUL WORD PROBLEM SOLVING

Abstract

Numerical competency and reading comprehension skills are necessary, but insufficient for word problem success. Depending on the word problem structure, successful problem solving may require inhibiting the seemingly obvious and correct answer. Inhibitory control plays a significant role in processing and solving word problems. Through classroom practices and textbook problems, I argue that individuals form associations between relational terminology and specific mathematical operations (“more” for addition and “less” for subtraction), and the notion that all numerical values in a problem must be used to produce an answer. In this study, I proposed an inhibitory performance-based model that posits two approaches to problem solving: (a) a successful approach where solvers inhibit mathematical associations and form appropriate set schemas to conceptualize semantic relations, and (b) an association approach where solvers do not inhibit associations and therefore may have an inaccurate understanding of the semantic relations. To test the model, data were analyzed from 105 undergraduate students at the University of Maryland. The study consisted of four sections: cognitive skills, word problems, domain-specific inhibitory control tasks, and a semi-structured interview. The word problem section included problems that were both consistent and inconsistent with an individual’s operational and numerical associations. Overall, the quantitative results identified that participants performed significantly worse on inconsistent problems. Further, the data suggest that failure to correctly answer inconsistent problems may be due to inhibitory control rather than other cognitive skills. The qualitative data indicated that a vast majority of participants believed in both mathematical associations and remembered classroom experiences that may have contributed to these beliefs. While inhibitory control has been suggested to play a significant role in word problem performance, this is one of the first studies to explicitly examine the relationship through domain-specific inhibitory control tasks and an interview. These results guide a path for future research to examine how individuals develop mathematical associations and for interventions to dissuade their usage.