Md. Leblanc et S. Weberrussell, TEXT INTEGRATION AND MATHEMATICAL CONNECTIONS - A COMPUTER-MODEL OF ARITHMETIC WORD PROBLEM-SOLVING, Cognitive science, 20(3), 1996, pp. 357-407
Understanding arithmetic word problems involves a complex interaction
of text comprehension and mathematical precesses. This article present
s a computer simulation designed to capture the working memory demands
required in ''bottom-up'' 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 nat
ural language presentatation. Children's probability of solution was a
nalyzed in exploratory regression analyses as a function of the simula
tion's sentence-level and text integration processes. Working memory v
ariables measuring the combined effects of concepts to remember and te
xt integration inferences account for a significant proportion of vari
ance in children's solution probabilities across the first four grade
levels (K-3). Consistent with previous results from others, which high
lighted the significance of small changes in problem wording, the simu
lation offers a process-oriented perspective as to why natural languag
e presentation constrains the comprehension of mathematical relationsh
ips.