The University of Sussex

Dynamics of arithmetic: a connectionist view of arithmetic skills

Richard Dallaway

Arithmetic takes time. Children need five or six years to master the one hundred multiplication facts (0x0 to 9x9), and it takes adults approximately one second to recall an answer to a problem like 7x8. Multicolumn arithmetic (e.g., 45x67) requires a sequence of actions, and children produce a host of systematic mistakes when solving such problems. This thesis models the time course and mistakes of adults and children solving arithmetic problems. Two models are presented, both of which are built from connectionist components.

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