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Text Integration and Mathematical Connections: A Computer Model of Arithmetic Word Problem Solving
Author(s) -
LeBlanc Mark D.,
WeberRussell Sylvia
Publication year - 1996
Publication title -
cognitive science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.498
H-Index - 114
eISSN - 1551-6709
pISSN - 0364-0213
DOI - 10.1207/s15516709cog2003_2
Subject(s) - computer science , comprehension , sentence , natural language processing , artificial intelligence , presentation (obstetrics) , sentence processing , parsing , variance (accounting) , programming language , medicine , business , accounting , radiology
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.

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