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Cited by 294

The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.

Developmental Analysis of Understanding Language About Quantities and of Solving Problems

Riley, Mary S., Greeno, James G.·1988·Cognition and Instruction
DOI 10.1207/s1532690xci0501_2
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Abstract

We present information-processing models of different levels of knowledge for understanding the language used in texts of arithmetic word Problems, for forming semantic models of the situations that the texts describe, and for making the inferences needed to answer the questions in the problems. In the simplest cognitive models, inferences are limited to properties of sets that exist in a semantic model. In more complex cognitive models, relations between sets are represented internally and support more complex reasoning. Performance on three sets of problems by kindergarten through third-grade students was used to test the models. Global tests provided support for the models. These included measures of scalability and frequencies of individual children's patterns of solutions that agreed with predictions of the models. Performance on problems involving combinations and changes of sets was explained better by the cognitive models than performance on problems involving comparisons. Comparisons may require more advanced understanding of numbers as values of operators rather than only as cardinalities of sets.

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Metadata

Authors
Riley, M. S., & Greeno, J. G.
Venue
Cognition and Instruction
Publisher
Informa UK Limited
Published
1988-03
Volume
5
Issue
1
Pages
49-101
ISSN
  • 0737-0008 (ISSN-L)
  • 1532-690X
DOI
10.1207/s1532690xci0501_2
OpenAlex
W2090276685
Cited by
294
References
33
FWCI
7.01
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Developmental Analysis of Understanding Language About Quantities and of Solving Problems. https://app.cochat.ai/papers/10.1207/s1532690xci0501_2
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Riley, M. S., & Greeno, J. G. (1988). Developmental Analysis of Understanding Language About Quantities and of Solving Problems. Cognition and Instruction. https://doi.org/10.1207/s1532690xci0501_2

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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