On the role of dissipating inhibition in task switching

The n-2 repetition cost has been explained by persisting inhibition of a previously valid task set which dissipates over time. This account has two implications, namely that the switch cost decreases with the number of tasks involved in switching and that the cost should also be observed in switching between two tasks. Neither of these implications is supported by empirical evidence. An alternative view is briefly discussed

The role of phonological and executive working memory resources in simple arithmetic strategies

The current study investigated the role of the central executive and the phonological loop in arithmetic strategies to solve simple addition problems (Experiment 1) and simple subtraction problems (Experiment 2). The choice/no-choice method was used to investigate strategy execution and strategy selection independently. The central executive was involved in both retrieval and procedural strategies, but played a larger role in the latter than in the former. Active phonological processes played a role in procedural strategies only. Passive phonological resources, finally, were only needed when counting was used to solve subtraction problems. No effects of working memory load on strategy selection were observed

Effects of problem size, operation, and working-memory span on simple-arithmetic strategies: differences between children and adults?

Adult’s simple-arithmetic strategy use depends on problem-related characteristics, such as problem size and operation, and on individual-difference variables, such as working-memory span. The current study investigates (a) whether the effects of problem size, operation, and working-memory span on children’s simple-arithmetic strategy use are equal to those observed in adults, and (b) how these effects emerge and change across age. To this end, simple-arithmetic performance measures and a working-memory span measure were obtained from 8-year-old, 10-year-old, and 12-year old children. Results showed that the problem-size effect in children results from the same strategic performance differences as in adults (i.e., size-related differences in strategy selection, retrieval efficiency, and procedural efficiency). Operation-related effects in children were equal to those observed in adults as well, with more frequent retrieval use on multiplication, more efficient strategy execution in addition, and more pro-nounced changes in multiplication. Finally, the advantage of having a large working-memory span was also present in children. The differences and similarities across children’s and adult’s strategic performance and the relevance of arithmetic models are discussed

Do multiplication and division strategies rely on executive and phonological working memory resources?

The role of executive and phonological working-memory resources in simple arithmetic was investigated in two experiments. Participants had to solve simple multiplication problems (e.g., 4 x 8; Experiment 1) or simple division problems (e.g., 42 : 7; Experiment 2) under no-load, phonological-load, and executive-load conditions. The choice/no-choice method was used to investigate strategy execution and strategy selection independently. Results on strategy execution showed that executive working memory resources were involved in direct memory retrieval of both multiplication and division facts. Executive working-memory resources were also needed to execute nonretrieval strategies. Phonological working-memory resources, on the other hand, tended to be involved in non-retrieval strategies only. Results on strategy selection showed no effects of working-memory load. Finally, correlation analyses showed that both strategy execution and strategy selection correlated with individual-difference variables such as gender, math anxiety, associative strength, calculator use, arithmetic skill, and math experience

Symbiosis of executive and selective attention in working memory

The notion of working memory (WM) was introduced to account for the usage of short-term memory resources by other cognitive tasks such as reasoning, mental arithmetic, language comprehension, and many others. This collaboration between memory and other cognitive tasks can only be achieved by a dedicated WM system that controls task coordination. To that end, WM models include executive control. Nevertheless, other attention control systems may be involved in coordination of memory and cognitive tasks calling on memory resources. The present paper briefly reviews the evidence concerning the role of selective attention in WM activities. A model is proposed in which selective attention control is directly linked to the executive control part of the WM system. The model assumes that apart from storage of declarative information, the system also includes an executive WM module that represents the current task set. Control processes are automatically triggered when particular conditions in these modules are met. As each task set represents the parameter settings and the actions needed to achieve the task goal, it will depend on the specific settings and actions whether selective attention control will have to be shared among the active tasks. Only when such sharing is required, task performance will be affected by the capacity limits of the control system involved

Further tests of the uitility of integrated speed-accuracy measures in task switching

Speed and accuracy of performance are central to many theoretical accounts of cognitive processing. In recent years, several integrated performance measures have been proposed. A comparative study of the available measures [Vandierendonck, A. (2017). A comparison of methods to combine speed and accuracy measures of performance: A rejoinder on the binning procedure. Behavior Research Methods, 49, 653–673. DOI: https://doi.org/10.3758/s13428-016-0721-5] concluded that three of the measures, namely inverse efficiency score, rate correct score, and linear integrated speed-accuracy score achieved a balanced integration of speed and accuracy. As a follow-up on that study, these three measures were examined in data analyses from 13 (published and unpublished) experiments in the context of task switching. The correlations of the effect sizes in these integrated scores with the effect sizes obtained in latency and accuracy were high, but varied across the three integrated measures. The efficiency to detect effects supported by the speed and accuracy data was examined by means of signal detection analyses. The three measures efficiently detected effects present in either speed or accuracy, but the rate correct score was less efficient than the other two measures and it signalled a larger number of strong effects unsupported by the speed and accuracy data. It is concluded that while the rate correct score is better avoided, and the usage of the inverse efficiency score should be restricted to data with low overall error rates, the linear integrated speed-accuracy score proves to be valid

A comparison of methods to combine speed and accuracy measures of performance : a rejoinder on the binning procedure

In cognitive research, speed and accuracy are two important aspects of performance. When analyzed separately, these performance variables sometimes lead to contradictory conclusions about the effect of a manipulation. To avoid such conflicts, several measures that integrate speed and accuracy have been proposed, but the added value of using such measures remains unclear. The present paper compares the relative utility of seven integrated performance measures, namely four variations on a binning procedure that weights response times of correct and incorrect trials differently, and three measures that combine averaged speed and accuracy scores. The properties of these integrated measures were explored in three simulation studies. The first study compared three binning measures and showed that one measure failed to grasp the performance difference between two conditions. The second study showed that the sampling distributions of the measures were symmetric, except for a strong skewness on the rate correct score. The third study varied the trade-off and the effect sizes of speed and accuracy in four different combinations of size and direction of speed and accuracy effects. These studies highlighted some further shortcomings of the binning measures. The combination measures performed well, but linear integration of speed and accuracy and rate correct score were most efficient in detecting effects and accounting for a larger proportion of the variance. The paper concludes that these combination measures are useful provided that also the speed and accuracy data are inspected

The influence of problem features and individual differences on strategic performance in simple arithmetic

The present study examined the influence of features differing across problems (problem size and operation) and differing across individuals (daily arithmetic practice, the amount of calculator use, arithmetic skill, and gender) on simple-arithmetic performance. Regression analyses were used to investigate the role of these variables in both strategy selection and strategy efficiency. Results showed that more-skilled and highly practiced students used memory retrieval more often and executed their strategies more efficiently than less-skilled and less practiced students. Furthermore, calculator use was correlated with retrieval efficiency and procedural efficiency but not with strategy selection. Only very small associations with gender were observed, with boys retrieving slightly faster than girls. Implications of the present findings for views on models of mental arithmetic are discussed

How the working memory with distributed executive control model accounts for task switching and dual-task coordination costs

According to the working memory model with distributed executive control (WMDEC), working memory is not only used for temporary maintenance of information, but it also serves goal-directed action by maintaining task-related information. Such information may include the current action goal, the means selected to attain the goal, situational constraints, and interim processing results. A computational version of the WMDEC model was used to simulate human performance in a series of experiments that examined particular predictions regarding task switching costs, costs due to task and attention switching, to dual-task coordination in working memory tasks, and to experiments that required dual-task coordination of memorisation and task switching demands. The results of these simulations are reported and their implications for accounts of multi- and dual-tasking are discussed

The role of working memory in carrying and borrowing

The present study analyzed the role of phonological and executive components of working memory in the borrow operation in complex subtractions (Experiments 1 and 2) and in the carry operation in complex multiplications (Experiments 3 and 4). The number of carry and borrow operations as well as the value of the carry were manipulated. Results indicated that both the number of carry/borrow operations and the value of the carry increased problem difficulty, resulting in higher reliance on phonological and executive working-memory components. Present results are compared with those obtained for the carry operation in complex addition and are further discussed in the broader framework of working-memory functions