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Abstract:
Despite the fact that arithmetic is based on only a few
hundred basic facts and some simple algorithms, humans have a
difficult time mastering the subject, and make mistakes even with
experience. Associative multiplication, the process of doing
multiplication by memory without the use of rules or algorithms, is
especially problematic. Humans have certain characteristic errors
in performing associative multiplications, both in the type of
error and in the error frequency. We propose a model for the
process of associative multiplication, and compare the results with
both data from normal humans and from the model proposed by
Anderson et al.
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