The role of working memory in the carry operation of mental arithmetic: Number and value of the carry
I Imbo, A Vandierendonck… - Quarterly Journal of …, 2007 - journals.sagepub.com
… of carry operations as well as the value that has to be carried. The implications of the present
findings for our views on mental arithmetic … in handling carries in multidigit mental addition …
findings for our views on mental arithmetic … in handling carries in multidigit mental addition …
The role of working memory in mental arithmetic
D DeStefano, JA LeFevre - European Journal of Cognitive …, 2004 - Taylor & Francis
… in arithmetic solutions than other models of numerical processing. Finally, working memory
researchers are urged to use mental arithmetic … and carry operations both place demands on …
researchers are urged to use mental arithmetic … and carry operations both place demands on …
Mental arithmetic
M van den Heuvel-Panhuizen - Children learn mathematics, 2008 - brill.com
… operations: – mental arithmetic by a stringing strategy in which the numbers are primarily
seen as objects in the counting row and for which the operations … ability to carry out algorithms …
seen as objects in the counting row and for which the operations … ability to carry out algorithms …
The role of short-term working memory in mental arithmetic
GJ Hitch - Cognitive Psychology, 1978 - Elsevier
… retrieval operations contributing to that stage. To illustrate, the expected probabilities of
being correct on individual partial results of the mental addition 325 + 147 (involving carrying in …
being correct on individual partial results of the mental addition 325 + 147 (involving carrying in …
The involvement of working memory in children's exact and approximate mental addition
… Unsurprisingly, exact mental arithmetic requires more … the number of carrying or borrowing
operations increases and with higher … by using mental addition problems without carrying. …
operations increases and with higher … by using mental addition problems without carrying. …
A research in mental arithmetic involving subtraction
HT Olander, BI Brown - The Journal of Educational Research, 1959 - JSTOR
… between proficiency in mental arithmetic when the exercises were presented orally and carry
ing on … that good teaching may at least in part compensate for the operation of these factors. …
ing on … that good teaching may at least in part compensate for the operation of these factors. …
Separate roles for executive and phonological components of working memory in mental arithmetic
AJ Fürst, GJ Hitch - Memory & cognition, 2000 - Springer
… A substantial investigation of working memory and mental arithmetic was reported by Logie
et al. (… Calculations involved either a single carry operation or multiple carries. A dual-task …
et al. (… Calculations involved either a single carry operation or multiple carries. A dual-task …
[HTML][HTML] The influence of implicit hand-based representations on mental arithmetic
… With the standard effect of a carry operation (ie, base-10 crossing) being replicated, we
observed an additional sub-base-five effect such that crossing a sub-base-five boundary led to a …
observed an additional sub-base-five effect such that crossing a sub-base-five boundary led to a …
Children's mental arithmetic and working memory
JW Adams, GJ Hitch - The development of mathematical skills, 2022 - taylorfrancis.com
… Thus, multidigit additions usually require retrieval of the basic facts as part of a solution
procedure that may involve carry operations and the storage of partial results (eg retaining the …
procedure that may involve carry operations and the storage of partial results (eg retaining the …
The development of mental arithmetic: A chronometric approach
MH Ashcraft - Developmental review, 1982 - Elsevier
… mental arithmetic is approached from a mathematical perspective, focusing on several process
models of arithmetic … nature of underlying mental operations and structures in arithmetic, …
models of arithmetic … nature of underlying mental operations and structures in arithmetic, …
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