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Text integration and mathematical connections: A computer model of arithmetic word problem solving

Abstract

Understanding arithmetic word problems involves a complex interaction of text comprehension and mathematical processes. This article presents a computer simulation designed to capture the working memory demands required in “bottomup” comprehension of arithmetic word problems. The simulation's sentence-level parser and text integration component reflect the importance of processing the problem from its original natural language presentation. Children's probability of solution was analyzed in exploratory regression analyses as a function of the simulation's sentence-level and text integration processes. Working memory variables measuring the combined effects of concepts to remember and text integration inferences account for a significant proportion of variance in children's solution probabilities across the first four grade levels (K-3). Consistent with previous results from others, which highlighted the significance of small changes in problem wording, the simulation offers a process-oriented perspective as to why natural language presentation constrains the comprehension of mathematical relationships.

Department

Computer Science

Publication Date

7-1-1996

Journal Title

Cognitive Science

Publisher

Elsevier

Digital Object Identifier (DOI)

https://dx.doi.org/10.1016/S0364-0213(99)80010-X

Document Type

Article

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