{"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/"}]}