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An Integrated Approach for Constructing, Coding, and Structuring a Body of Word Problems

By Theo Held

Abstract

In this chapter, it is shown how a body of word problems can be generated on the basis of “problem grammars”, how an efficient and unique coding of the problems by “components” can be performed, and how the derivation of problem structures is facilitated through formal principles working on structures of problem components. Furthermore it is demonstrated how the influence of textual properties of word problems on solution performance can be considered in the process of structuring the body of problems. The domain under consideration is “elementary stochastics.” For the reported experimental investigation 18 word problems have been constructed by means of a problem grammar. The problems vary—aside from domain-specific demands— with respect to the textual properties of “coherence ” and “cohesion.” Based on problem coding, alternative problem structures have been established that are tested in a fully computerized investigation withN=50subjects. The results show that the data can be explained very well by the problem structure which is based on a “demand multiassignment” concerning the textual problem component

Year: 1999
OAI identifier: oai:CiteSeerX.psu:10.1.1.210.655
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