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Multiplication Number Facts: Modeling Human Performance with Connections Networks Cover

Multiplication Number Facts: Modeling Human Performance with Connections Networks

Open Access
|Jan 1996

Abstract

Three connectionist models of human performance on simple multiplication number facts, commonly called “times tables,” are reviewed. Also, human data from normal subjects and brain damaged patients, which constrain these models, are presented. These human data include the problem size effect, error effects, priming effects, use of strategies and rules, and number representation. The connectionist models presented are: a simple auto-associator (J. A. Anderson’s Brain-State-in-a-Box), a standard back-propagation model, and McCloskey and Lindemann’s MATHNET. The review of human data and connectionist models of memory retrieval provides some insight into the strengths of, differences between, and challenges for, this approach to computational modeling. Particular attention is paid to the representation of number used by these models, and a related ability to generalize learning.

DOI: https://doi.org/10.5334/pb.893 | Journal eISSN: 0033-2879
Language: English
Published on: Jan 1, 1996
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 1996 Betty Edelman, Hervé Abdi, Dominique Valentin, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.