[HTML][HTML] A single-boundary accumulator model of response times in an addition verification task

TJ Faulkenberry - Frontiers in Psychology, 2017 - frontiersin.org
Current theories of mathematical cognition offer competing accounts of the interplay
between encoding and calculation in mental arithmetic. Additive models propose that …

Mental arithmetic processes: Testing the independence of encoding and calculation

AR Frampton, TJ Faulkenberry - 2020 - osf.io
Previous work has shown that the cognitive processes involved in mental arithmetic can be
decomposed into three stages: encoding, calculation, and production. Models of mental …

Strategy choice for arithmetic verification: Effects of numerical surface form

JID Campbell, J Fugelsang - Cognition, 2001 - Elsevier
Canadian university students (n= 48) solved simple addition problems in a true/false
verification task with equations in digit format (3+ 4= 8) or written English format (three+ …

Do production and verification tasks in arithmetic rely on the same cognitive mechanisms? A test using alphabet arithmetic

JDM Dewi, J Bagnoud… - Quarterly Journal of …, 2021 - journals.sagepub.com
In this study, 17 adult participants were trained to solve alphabet–arithmetic problems using
a production task (eg, C+ 3=?). The evolution of their performance across 12 practice …

How to interpret cognitive training studies: A reply to Lindskog & Winman

J Park, EM Brannon - Cognition, 2016 - Elsevier
In our previous studies, we demonstrated that repeated training on an approximate
arithmetic task selectively improves symbolic arithmetic performance (Park & Brannon, 2013 …

[HTML][HTML] Competing biases in mental arithmetic: When division is more and multiplication is less

S Shaki, MH Fischer - Frontiers in human neuroscience, 2017 - frontiersin.org
Mental arithmetic exhibits various biases. Among those is a tendency to overestimate
addition and to underestimate subtraction outcomes. Does such “operational …

Spatial biases in approximate arithmetic are subject to sequential dependency effects and dissociate from attentional biases

M Glaser, A Knops - Journal of Numerical Cognition, 2023 - jnc.psychopen.eu
The notion that mental arithmetic is associated with shifts of spatial attention along a
spatially organised mental number representation has received empirical support from three …

Retrieval or nonretrieval strategies in mental arithmetic? An operand recognition paradigm

C Thevenot, M Fanget, M Fayol - Memory & cognition, 2007 - Springer
Abstract According to LeFevre, Sadesky, and Bisanz (1996), averaging solution latencies in
order to study individuals' arithmetic strategies can result in misleading conclusions …

The development of skill in mental arithmetic: An individual differences perspective

KF Widaman, TD Little - Advances in psychology, 1992 - Elsevier
In this chapter, we attempt first to describe the different emphases inherent in traditional
experimental and individual differences approaches. Next, we discuss the types of cognitive …

The Complexity of Mental Integer Addition

S Buijsman, M Pantsar - Journal of numerical cognition, 2020 - jnc.psychopen.eu
An important paradigm in modeling the complexity of mathematical tasks relies on
computational complexity theory, in which complexity is measured through the resources …