Working memory, strategy execution, and strategy selection in mental arithmetic

I Imbo, S Duverne, P Lemaire - Quarterly journal of …, 2007 - journals.sagepub.com
A total of 72 participants estimated products of complex multiplications of two-digit operands
(eg, 63× 78), using two strategies that differed in complexity. The simple strategy involved …

Representations and strategies for solving dynamic and static arithmetic word problems: The role of working memory capacities

C Thevenot, J Oakhill - European Journal of Cognitive Psychology, 2006 - Taylor & Francis
This study aims at determining the structure of the representation constructed by adults to
solve multiple-step arithmetic word problems. We show that this structure is isomorphic to …

Cognitive arithmetic: Evidence for retrieval and decision processes in mental addition.

MH Ashcraft, J Battaglia - Journal of Experimental Psychology …, 1978 - psycnet.apa.org
Two experiments, each with 12 undergraduates, examined simple addition processes in
which single integer problems were presented for true–false verification. The stated sums of …

On the cognitive structure of basic arithmetic skills: Operation, order, and symbol transfer effects.

TC Rickard, AF Healy, LE Bourne - Journal of Experimental …, 1994 - psycnet.apa.org
In 2 experiments, college Ss–practiced extensively on single-digit multiplication and division
problems (eg, ___= 6× 9; 42= ___× 6) and were tested on both practice problems and …

Verifying simple arithmetic sums and products: Are the phonological loop and the central executive involved?

S De Rammelaere, E Stuyven, A Vandierendonck - Memory & Cognition, 2001 - Springer
In two experiments, we investigated the role of the phonological loop and the central
executive in the verification of the complete set of one-digit addition (Experiment 1) and …

Arithmetic operation and working memory: Differential suppression in dual tasks

KM Lee, SY Kang - Cognition, 2002 - Elsevier
The relationship between arithmetic function and working memory was examined using a
dual-task paradigm for either phonological or visuo-spatial suppression. Simultaneous …

Menatal addition: A test of three verification models

MH Ashcraft, EH Stazyk - Memory & Cognition, 1981 - Springer
Three explanations of adults' mental addition performance, a counting-based model, a direct-
access model with a backup counting procedure, and a network retrieval model, were …

The single-format assumption in arithmetic fact retrieval.

S Blankenberger, D Vorberg - Journal of Experimental Psychology …, 1997 - psycnet.apa.org
Current models of mental arithmetic disagree on whether the same mental representation is
activated by numbers in different forms (single-format assumption). Two experiments …

Phonological loop and central executive processes in mental addition and multiplication

K Seitz… - Psychological Test and …, 2002 - search.proquest.com
Our investigations address the role of subsystem-specific working memory resources in
mental arithmetic. The dual-task paradigm was used to present addition and multiplication …

Brain potentials during mental arithmetic: effects of extensive practice and problem difficulty

P Pauli, W Lutzenberger, H Rau, N Birbaumer… - Cognitive Brain …, 1994 - Elsevier
Recent behavioral investigations indicate that the processes underlying mental arithmetic
change systematically with practice from deliberate, conscious calculation to automatic …