Effects of item difficulty on the retrieval of solutions during cognitive skill acquisition: age differences.

In cognitive skill learning, shifts to better strategies for obtaining solutions often occur while associations between problems and solutions are being strengthened. In two skill learning experiments, we examined the effects of item difficulty on the retrieval of solutions and the learning of problem-solution associations in younger and older adults. The results of both experiments demonstrated an 'easy effect' in both younger and older adults, such that the retrieval of solutions as well recognition memory for problems was best for the easier items. In addition, a 'hard effect' was found in younger adults, but not in older adults, whereby the retrieval of solutions as well as recognition memory for problems was better for harder items than for medium-difficulty items. The finding that increased computational demands at the item level delayed item memorization and the retrieval of solutions in older adults but not younger adults is consistent with a general-resources account of age-related differences in skill learning.

The associative-memory basis of cognitive skill learning: adult age differences.

It has been established that memorizing common problems and their solutions underlies cognitive skill development, and that there are substantial age deficits in the rate of this learning. In a between-groups design, the authors compared learning rates for the same set of problems in skill (SK) training and paired-associate (PA) training. The authors found main effects due to condition (PA problems were acquired earlier) and to age (older adults' learning was delayed), but no condition-by-age interaction. The authors concluded that the age deficit in SK can be accounted for by the age deficit in associative memory; no further explanation is needed. The authors also analyzed fast and slow retrieves in SK and PA, and found that the frequency of fast retrieves did not differ in the two conditions. The overall advantage of PA was due to the occurrence of slow retrieves, which were absent in SK presumably because the skill algorithm displaces slow, explicit memory search in SK, but not fast, familiarity-based retrieval.

Aging, task complexity, and efficiency modes: the influence of working memory involvement on age differences in response times for verbal and visuospatial tasks.

We examined the information-processing functions (response-time x load) of younger and older adults for two verbal and one visuo-spatial task; each task was implemented in a baseline and a high-complexity condition. Heightened complexity transformed the baseline functions in either an additive or a multiplicative fashion. The processing efficiency of older adults was defined as the old-young ratio of the slopes of the load functions. Three levels of efficiency could be distinguished. The first level, with an age-related slowing factor of about 1.2, consisted of low-complexity verbal processing and additive-complexity verbal processing. The second level, associated with a slowing factor of about 1.6, consisted of a mixture of verbal-high-multiplicative-complexity processing and visuo-spatial-low-complexity processing. The third level, with a slowing factor of about 4, consisted of visuo-spatial processing of high multiplicative complexity. The results go against any common factor theory of aging. Instead, they suggest that a shift from a higher to a lower mode of efficiency is triggered by a greater degree of working memory involvement.

To bind or not to bind, that's the wrong question: Features and objects coexist in visual short-term memory.

In three experiments, we investigated whether features and whole-objects can be represented simultaneously in visual short-term memory (VSTM). Participants were presented with a memory set of colored shapes; we probed either for the constituent features or for the whole object, and analyzed retrieval dynamics (cumulative response time distributions). In our first experiment, we used whole-object probes that recombined features from the memory display; we found that subjects' data conformed to a kitchen-line model, showing that they used whole-object representations for the matching process. In the second experiment, we encouraged independent-feature representations by using probes that used features not present in the memory display; subjects' data conformed to the race-model inequality, showing that they used independent-feature representations for the matching process. In a final experiment, we used both types of probes; subjects now used both types of representations, depending on the nature of the probe. Combined, our three experiments suggest that both feature and whole-object representations can coexist in VSTM.

Aging, executive control, and attention: a review of meta-analyses.

We review the results of a series of meta-analyses by the first author and colleagues, examining age-related differences in selective attention (Stroop-task survey and negative-priming task survey) and in divided attention (dual-task survey and task-switching survey). The four task families all lent themselves to state trace analysis, in which performance in baseline conditions was contrasted with performance in experimental conditions separately for college-aged subjects and for elderly subjects. These analyses found no age-related deficits specific to selective attention or local task-switching. Age deficits were found for dual-task performance and global task-switching. Unlike selective attention and local task-switching costs, dual-task and global task-switching costs were found to be additive in both young and old subjects, unmodulated by task difficulty. These forms of executive intervention then did not alter computational processes already present in the simple tasks, but rather added one or more additional processing steps or stages to the processing stream. The cost was greater in older adults, but was limited to those experimental conditions that activated multiple task sets.

Cognitive skill learning: age-related differences in strategy shifts and speed of component operations.

Younger and older adults solved novel arithmetic problems and reported the strategies used for obtaining solutions. Age deficits were demonstrated in the latencies for computing and retrieving solutions and in the shift from computation to retrieval. Rates of improvement within age groups were parallel for computations and retrievals, suggesting a single, age-attenuated mechanism that affects practice-related speedup. The age-related delay in strategy shift suggests either reluctance to use retrieval or an associative memory deficit. Experiment 1 showed that skill acquisition was unaffected by the presence and frequency of postresponse strategy probes for both age groups. Experiment 2 showed that pretraining item-learning operations facilitated subsequent item learning and that pretraining either item-learning operations or the algorithm did not alter the age trends.

Aging and dual-task performance: a meta-analysis.

The relations between dual-task effects and aging were examined through a meta-analysis of 33 studies (with 48 independent participant groups) using latency as the dependent measure and 30 studies (with 40 independent participant groups) focusing on accuracy. Brinley plots and state traces were derived, and a model to explicate different types of complexity (additive and multiplicative) was developed. The effects of dual-task processing on latency were additive, and this additive cost was larger in older adults than in younger adults and larger than predicted from general slowing. This cost was small and independent of task complexity. The effects of dual-task processing on logit-transformed accuracy were likewise additive, but no specific age deficit was associated with this dual-task cost.

Cognitive efficiency modes in old age: performance on sequential and coordinative verbal and visuospatial tasks.

In an experiment using a large set of verbal and spatial tasks requiring low or high degrees of executive control, 3 distinct age-related effects were found. The smallest effect (no slowing) was tied to lexical tasks with low executive involvement, the largest deficit (age-related slowing factor of 2.2) was tied to visuospatial tasks with high executive involvement, an intermediate level of deficit (slowing factor of 1.7) was found for visuospatial tasks with low executive load and verbal tasks with high executive load. These age-related dissociations were incompatible with any "common cause" formulation. The mechanism responsible for the dissociation between verbal and visual tasks, and between low and high executive load remains to be determined. The latter may reflect capacity limits.

A working memory workout: how to expand the focus of serial attention from one to four items in 10 hours or less.

Five individuals participated in an extensive practice study (10 1-hr sessions, 11,000 trials total) on a self-paced identity-judgment (1)n-back task (n ranging from 1 to 5). Within Session 1, response time increased abruptly by about 300 ms in passing from n = 1 to n > 1, suggesting that the focus of attention can accommodate only a single item (H. Caravan, 1998; B. McElree, 2001). Within Session 10, response time was dramatically reduced and increased linearly with n for n < or = 4, with a slope of about 30 ms. The data suggest that working memory consists of a focus of attention governed by a limited-capacity search, expandable through practice, and a content-addressable region outside the focus of attention.

Making working memory work: the effects of extended practice on focus capacity and the processes of updating, forward access, and random access.

We investigated the effects of 10h of practice on variations of the N-Back task to investigate the processes underlying possible expansion of the focus of attention within working memory. Using subtractive logic, we showed that random access (i.e., Sternberg-like search) yielded a modest effect (a 50% increase in speed) whereas the processes of forward access (i.e., retrieval in order, as in a standard N-Back task) and updating (i.e., changing the contents of working memory) were executed about 5 times faster after extended practice. We additionally found that extended practice increased working memory capacity as measured by the size of the focus of attention for the forward-access task, but not for variations where probing was in random order. This suggests that working memory capacity may depend on the type of search process engaged, and that certain working-memory-related cognitive processes are more amenable to practice than others.

Working memory at work: how the updating process alters the nature of working memory transfer.

In three N-Back experiments, we investigated components of the process of working memory (WM) updating, more specifically access to items stored outside the focus of attention and transfer from the focus to the region of WM outside the focus. We used stimulus complexity as a marker. We found that when WM transfer occurred under full attention, it was slow and highly sensitive to stimulus complexity, much more so than WM access. When transfer occurred in conjunction with access, however, it was fast and no longer sensitive to stimulus complexity. Thus the updating context altered the nature of WM processing: The dual-task situation (transfer in conjunction with access) drove memory transfer into a more efficient mode, indifferent to stimulus complexity. In contrast, access times consistently increased with complexity, unaffected by the processing context. This study reinforces recent reports that retrieval is a (perhaps the) key component of working memory functioning.

A search-by-clusters model of visual search: fits to data from younger and older adults.

OBJECTIVES: This study aims to specify the processing operations underlying age-related differences in the speed and accuracy of visual search in a mathematical model. METHOD: Eighteen older and 18 young adults searched for a predesignated target within 24-degree visual arrays containing distractors. Targets were systematically placed in regions that extended 2.5, 5.0, 7.5, and 10 degrees from center. Data were fitted to several versions of a mathematical model in which it was assumed that target search proceeds from the center fixation to peripheral areas in a succession of visual inspections of clusters until the target is located and that clusters can vary in size in response to search difficulty. RESULTS: Eccentricity effects on latencies and errors were larger for older adults than for younger adults, especially in the hardest search condition. The best-fitting version of the "search-by-clusters" model accounted for an average of 98.4% and 95.4% of the variance in the young and older adults, respectively. The resulting time, accuracy, and cluster parameters behaved plausibly in each of the 36 data sets. CONCLUSIONS: A quantitative model that specified how individuals searched for targets in large arrays accurately predicted the search times and accuracies of younger and older adults.

Ease of access to list items in short-term memory depends on the order of the recognition probes.

We report data from 4 experiments using a recognition design with multiple probes to be matched to specific study positions. Items could be accessed rapidly, independent of set size, when the test order matched the study order (forward condition). When the order of testing was random, backward, or in a prelearned irregular sequence (reordered conditions), the classic Sternberg result was obtained: Response times were slow and increased linearly with set size. A number of explanations for forward-condition facilitation were ruled out, such as the predictability of the study order (Experiment 2), the predictability of the probe order (Experiment 1), the covariation of study and test orders (Experiments 1, 2, and 4), processes of probe encoding and perception that did not rely on STM access (Experiments 1, 2, and 4), specific support of the forward condition by articulatory processes (Experiment 3), or condition-dependent strategic differences (Experiment 4). More detailed analyses demonstrated that fast forward responses could not be accounted for by the effects of input position and output position that modulated random responses, effects that did account for the slower responses of the reordered conditions (Experiments 1, 3, and 4). A final analysis of probe-to-probe transitions as a function of encoding distance revealed a sizeable single-step benefit in the random condition. We concluded that STM representations were serial rather than spatial and that forward probes benefited from their serial adjacency.

Dual representation of item positions in verbal short-term memory: Evidence for two access modes.

Memory sets of N = 1~5 digits were exposed sequentially from left-to-right across the screen, followed by N recognition probes. Probes had to be compared to memory list items on identity only (Sternberg task) or conditional on list position. Positions were probed randomly or in left-to-right order. Search functions related probe response times to set size. Random probing led to ramped, "Sternbergian" functions whose intercepts were elevated by the location requirement. Sequential probing led to flat search functions-fast responses unaffected by set size. These results suggested that items in STM could be accessed either by a slow search-on-identity followed by recovery of an associated location tag, or in a single step by following item-to-item links in study order. It is argued that this dual coding of location information occurs spontaneously at study, and that either code can be utilised at retrieval depending on test demands.

Rules and more rules: the effects of multiple tasks, extensive training, and aging on task-switching performance.

Task-switching performance was assessed in young and older adults as a function of the number of task sets to be actively maintained in memory (varied from 1 to 4) over the course of extended training (5 days). Each of the four tasks required the execution of a simple computational algorithm, which was instantaneously cued by the color of the two-digit stimulus. Tasks were presented in pure (task set size 1) and mixed blocks (task set sizes 2, 3, 4), and the task sequence was unpredictable. By considering task switching beyond two tasks, we found evidence for a cognitive control system that is not overwhelmed by task set size load manipulations. Extended training eliminated age effects in task-switching performance, even when the participants had to manage the execution of up to four tasks. The results are discussed in terms of current theories of cognitive control, including task set inertia and production system postulates.

Strategy transitions during cognitive skill learning in younger and older adults: effects of interitem confusability.

Groups of young and old adults were trained for four sessions on a set of 24 alphabet-arithmetic problems. Problem sets were either highly confusable or highly distinct. Power-function and mixture-model fits to the means and standard deviations of the acquisition data, resolved at the participant problem level, were compared. "Shallow" power functions signaled that a problem was computed throughout training; "humped" mixture functions signaled a shift from slow computed solutions to fast retrieved solutions. Not surprisingly, shifts to retrieval occurred later for confusable problems, but there were also fewer shifts in that condition. Failures to shift, even after extended practice, suggest that retrieving problem solutions is an elective strategy, and not an automatic concomitant of skill training. Participants can be viewed as choosing between strategies that trade off benefits in speed against costs in accuracy. Older adults showed few retrieval solutions in either condition, perhaps because of their emphasis on accuracy.

Determinants of retrieval solutions during cognitive skill training: source confusions.

Diverse outcomes, both facilitative and disruptive, have been reported for the effect of interpolated item recognition tests on the acquisition of a cognitive skill. We collected data from a repeated set of 12 artificial arithmetic problems, soliciting compute/retrieve strategy reports after every trial. In one condition, a recognition test was administered after every three blocks of training. Recognition testing was found to depress retrieve frequencies in both younger and older adults, particularly for newly acquired items. Pairing training items with similar recognition foils mitigated these effects. This pattern of results could be explained by assuming that the participants based compute/retrieve decisions on item familiarity or frequency, tracked across both skill trials and recognition trials, and on a threshold influenced by source confusion. Variations in the threshold parameter could lead to depressed reports of item retrieval (our findings) or to elevated retrieval decisions, as has been shown in some other studies.

Item learning in cognitive skill training: effects of item difficulty.

Item difficulty effects in skill learning were examined by giving participants extensive training with repeated alphabet arithmetic problems that varied in addend size (e.g., C-D = ? is easy; C-J = ? is harder). Recognition memory for the items, as measured by interpolated recognition tests, was acquired early in training and was unaffected by item difficulty. Memory for the solutions to items, as measured by the participants' strategy reports that they had retrieved, rather than computed, the solution, was acquired later and was affected by item difficulty. Solutions to easier items were learned earlier in training for both young adults (18-24 years) and older adults (60-75 years), superimposed on an overall lower level of solution learning in older participants. The results suggest that the formation of associations between problems and their solutions is effortful and shares limited processing resources with the computational demands of the problem.