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{ "pk": 31332, "title": "Memory for Multiplication Facts", "subtitle": null, "abstract": "It takes approximately one second for an adult to respond to the problem \"7 x 8\" The results of that second are well documented, and there are a number of competing theories attempting to explain the phenomena [Campbell & Graham 1985; Ashcroft 1987; Siegler 1988]. However. there are few fully articulated models available to test specific assumption [McCloskey, Harley, & Sokol 1991]. This paper presents a connectionist account of mental multiplication which models adult reaction time and error patterns. The phenomenon is viewed as spreading activation between stimulus digits and target products, and is implemented by a multilayered network augmented with a version of the \"cascade\" equations [McClelland 1979]. Simulations are performed to mimic Campbell & Graham s [1985] experiments measuring adults' memory for single-digit multiplication. A surprisingly small number assumptions are needed to replicate the results found in the psychological literature—fewer than some (less explicit) theories presuppose.", "language": "eng", "license": { "name": "", "short_name": "", "text": null, "url": "" }, "keywords": [], "section": "Talks", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/92b3k11v", "frozenauthors": [ { "first_name": "Richard", "middle_name": "", "last_name": "Dallaway", "name_suffix": "", "institution": "University of Sussex", "department": "" } ], "date_submitted": null, "date_accepted": null, "date_published": "1992-01-01T18:00:00Z", "render_galley": null, "galleys": [ { "label": "PDF", "type": "pdf", "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/31332/galley/22401/download/" } ] }