Information acquisition strategies and the cognitive structure of arithmetic

In three experiments, we examined the sensitivity of information acquisition strategies to the underlying cognitive structure of arithmetic tasks. Previous work has shown that individuals solve arithmetic problems more quickly when they consider operators before operands. The operators establish the goal, and the operands are then assimilated into that goal. In the present experiments, participants performed arithmetic tasks in which they controlled the display of operators and operands, using separate keystrokes. The participants chose to see the operator before the operands in most conditions. This ordering was more likely when task constraints made it easier to achieve, when feedback emphasized execution time, and in a more complex multiple-step task. These results extend previous research on strategy selection and information acquisition, supporting the idea that coordination between the environment and ongoing cognition is an important feature of cognitive skill.     

Implicit temporal tuning of working memory strategy during cognitive skill acquisition

Complex cognitive tasks such as multiple-step arithmetic entail strategies for coordinating mental processes such as calculation with processes for managing working memory (WM). Such strategies must be sensitive to factors such as the time needed for calculation. In 2 experiments we tested whether people can learn the timing constraints on WM demands when those constraints are implicitly imposed. We varied the retention period for intermediate results using the well-known digit size effect: The larger the operands, the longer it takes to perform addition. During learning participants practiced multiple-step arithmetic routines combined with large or small digits. At transfer, they performed both practiced and novel combinations. Practice performance was affected by digit size and WM demands. However, the transfer performance was not fully explained by the digit size effect or the practice effect. We argue that participants acquired temporal tuning of the WM strategy to the implicit retention interval imposed by the digit size and kept using the tuning mode to unpracticed data set.     

Reaching while calculating: scheduling of cognitive and perceptual-motor processes

To address the neglected question of how cognitive and perceptual-motor processes are coordinated, the authors asked participants to move a cursor from one target to another to reveal operators and operands for a running arithmetic task. In Experiment I performance on this task was compared with performance on tasks requiring only aiming or only arithmetic. Aiming was faster in the aiming-only task than in the combined task. More importantly, times for steps requiring calculation were equivalent in the combined and arithmetic-only tasks. The results from this and a second experiment suggest that participants slowed their aiming to allow calculations to be completed before subsequent targets were entered. As a whole, the results suggest that cognitive and perceptual-motor processes are coordinated through scheduling.     

Children and Violence: The Role of Children’s Regulation in the Marital Aggression–Child Adjustment Link

Exposure to marital psychological and physical abuse has been established as a risk factor for children’s socio-emotional, behavioral, and cognitive problems. Understanding the processes by which children develop symptoms of psychopathology and deficits in cognitive functioning in the context of marital aggression is imperative for developing efficient and effective treatment programs for children and families, and has far-reaching mental health implications. The present paper outlines our research program, Child Regulation and Exposure to Marital Aggression, which focuses on children’s emotional and physiological reactivity and regulation as pathways in the marital aggression–child development link. Findings from our research program, which highlight the importance of children’s regulatory processes for understanding children’s adjustment in contexts of intimate partner violence, are presented, and future directions in this line of inquiry are outlined.     

Switch costs and the operand-recognition paradigm

Experimental research in cognitive arithmetic frequently relies on participants’ self-reports to discriminate solutions based on direct memory retrieval from use of procedural strategies. Given concerns about the validity and reliability of strategy reports, Thevenot et al. in Mem Cogn 35:1344–1352, (2007) developed the operand-recognition paradigm as an objective measure of arithmetic strategies. Participants performed addition or number comparison on two sequentially presented operands followed by a speeded operand-recognition task. Recognition times increased with problem size following addition but not comparison. Thevenot et al. argued that the complexity of addition strategies increases with problem size. A corresponding increase in operand-recognition time occurs because, as problem size increases, working memory contains more numerical distracters. However, because addition is substantially more difficult than comparison, and difficulty increases with problem size for addition but not comparison, their findings could be due to difficulty-related task-switching costs. We repeated Thevenot et al. (Experiment 1) but added a control condition wherein participants performed a parity (odd or even) task instead of operand recognition. We replicated their findings for operand recognition but found robust, albeit smaller, effects of addition problem size on parity judgements. The results indicate that effects of strategy complexity in the operand-recognition paradigm are confounded with task-switching effects, which complicates its application as a precise measure of strategy complexity in arithmetic.     

COGNITIVE RESTRUCTURING AND MENTAL CONTAMINATION: AN EMPIRICAL RE-CONCEPTUALIZATION

The main goal of this article is to propose a cognitive technology for blocking the impact of mental contamination during cognitive restructuring in cognitive-behavioral and rational-emotive therapy, by using fundamental research findings from cognitive psychology. In step 1, after a review of the relevant cognitive and social psychology literature, the authors elaborated several techniques hypothesized to control mental contamination. In step 2—Experiment I—the authors tested the efficacy of these techniques in blocking mental contamination. The three techniques that proved to be effective in controlling mental contamination were: (a) the global restructuring technique; (b) the rational anticipation technique; (c) the incompatible information technique. In step 3—Experiment II—these techniques were adapted and tested in clinical setting using a single case experiment design-multiple baselines across subjects (five subjects with simple phobia). The techniques were shown to be effective in both stimulating the assimilation of new adaptive cognitions (i.e., global restructuring and incompatible information technique) and in preventing relapse (i.e., rational anticipation technique). Future directions for research are discussed. Address correspondence to Daniel David, Ph.D., Department of Psychology and Center for Cognitive and Behavioral Psychotherapies, Babes-Bolyai University, No. 37, Gh. Bilascu Street, 3400, Cluj-Napoca, Cluj, Romania; e-mail: danieldavid@psychology.ro.     

When combined spatial polarities activated through spatio-temporal asynchrony lead to better mathematical reasoning for addition

Several recent studies have supported the existence of a link between spatial processing and some aspects of mathematical reasoning, including mental arithmetic. Some of these studies suggested that people are more accurate when performing arithmetic operations for which the operands appeared in the lower-left and upper-right spaces than in the upper-left and lower-right spaces. However, this cross-over Horizontality × Verticality interaction effect on arithmetic accuracy was only apparent for multiplication, not for addition. In these studies, the authors used a spatio-temporal synchronous operand presentation in which all the operands appeared simultaneously in the same part of space along the horizontal and vertical dimensions. In the present paper, we report studies designed to investigate whether these results can be generalized to mental arithmetic tasks using a spatio-temporal asynchronous operand presentation. We present three studies in which participants had to solve addition (Study 1a), subtraction (Study 1b), and multiplication (Study 2) in which the operands appeared successively at different locations along the horizontal and vertical dimensions. We found that the cross-over Horizontality × Verticality interaction effect on arithmetic accuracy emerged for addition but not for subtraction and multiplication. These results are consistent with our predictions derived from the spatial polarity correspondence account and suggest interesting directions for the study of the link between spatial processing and mental arithmetic performances.     

The inadvertent use of prior knowledge in a generative cognitive task

In four experiments with 332 participants, participants were asked to generate novel nonwords for English categories. When participants were shown examples embedded with regular orthographic structures, participants’ nonwords tended to conform orthographically to the examples, despite instructions to avoid using features of the examples. The effect was found with immediate testing (Experiment 1) and delayed testing (Experiment 2). The effect was also found with arbitrary features (Experiments 1–4), as well as with naturally occurring orthographic regularities (Experiment 4). Participants had difficulty avoiding the use of this prior knowledge, despite being able to list the features they were asked to avoid (Experiment 3). The results are discussed in terms of the inadvertent use of prior knowledge in generative cognitive tasks.     

Body part representations in verbal semantics

Embodied theories of language propose that word meaning is inextricably tied to—grounded in—mental representations of perceptual, motor, and affective experiences of the world. The four experiments described in this article demonstrate that accessing the meanings of action verbs like smile, punch, and kick requires language understanders to activate modality-specific cognitive representations responsible for performing and perceiving those same actions. The main task used is a word-image matching task, where participants see an action verb and an image depicting an action. Their task is to decide as quickly as possible whether the verb and the image depict the same action. Of critical interest is participants’ behavior when the verb and image do not match, in which case the two actions can use the same effector or different effectors. In Experiment 1, we found that participants took significantly longer to reject a verb-image pair when the actions depicted by the image and denoted by the verb used the same effector than when they used different effectors. Experiment 2 yielded the same result when the order of presentation was reversed, replicating the effect in Cantonese. Experiment 3 replicated the effect in English with a verb-verb near-synonym task, and in Experiment 4, we once again replicated the effect with learners of English as a second language. This robust interference effect, whereby a shared effector slows discrimination, shows that language understanders activate effector-specific neurocognitive representations during both picture perception and action word understanding.     

The effects of emotional arousal and gender on the associative memory deficit of older adults

In this study we assessed the potential moderating roles of stimulus type (emotionally arousing) and participants’ characteristics (gender) in older adults’ associative memory deficit. In two experiments, young and older participants studied lists that included neutral and emotionally arousing word pairs (positive and negative) and completed recognition tests for the words and their associations. In Experiment 1, the majority of the word pairs were composed of two nouns, whereas in Experiment 2 they were composed of adjective–noun pairs. The results extend evidence for older adults’ associative deficit and suggest that older and younger adults’ item memory is improved for emotionally arousing words. However, associative memory for the word pairs did not benefit (and even showed a slight decline) from emotionally arousing words, which was the case for both younger and older adults. In addition, in these experiments, gender appeared to moderate the associative deficit of older adults, with older males but not females demonstrating this deficit.     

Stereotype susceptibility narrows the gender gap in imagined self-rotation performance

Three studies examined the impact of stereotype messages on men’s and women’s performance of a mental rotation task involving imagined self-rotations. Experiment 1 established baseline differences between men and women; women made 12% more errors than did men. Experiment 2 found that exposure to a positive stereotype message enhanced women’s performance in comparison with that of another group of women who received neutral information. In Experiment 3, men who were exposed to the same stereotype message emphasizing a female advantage made more errors than did male controls, and the magnitude of error was similar to that for women from Experiment 1. The results suggest that the gender gap in mental rotation performance is partially caused by experiential factors, particularly those induced by sociocultural stereotypes.     

What affects strategy selection in arithmetic? The example of parity and five effects on product verification

The parity effect in arithmetic problem verification tasks refers to faster and more accurate judgments for false equations when the odd/even status of the proposed answer mismatches that of the correct answer. In two experiments, we examined whether the proportion of incorrect answers that violated parity or the number of even operands in the problem affected the magnitude of these effects. Experiment 1 showed larger parity effects for problems with two even operands and larger parity effects during the second half of the experiment. Experiment 2 replicated the results of Experiment 1 and varied the proportion of problems violating parity. Larger parity effects were obtained when more of the false problems violated parity. Moreover, all three effects combined to show the greatest parity effects in conditions with a high proportion of parity violations in problems containing two even operands that were solved during the second half of the experiment. Experiment 3 generalized the findings to the case of five rule (i.e., checking whether a false product ends in 5 or 0), another procedure for solving and verifying multiplication problems quickly. These results (1) delineate further constraints for inclusion in models of arithmetic processing when thinking about how people select among verification strategies, (2) show combined effects of variables that traditionally have been shown to have separate effects on people's strategy selection, and (3) are consistent with a view of strategy selection that suggests a bias either in the allocation of cognitive resources in the execution of strategies or in the order of execution of these strategies; they argue against a simple, unbiased competition among strategies.     

How readers experience characters’ decisions

When people read narratives, they have ample opportunities to encode mental preferences about characters’ decisions. In our present project, we examined how readers’ preferences for characters’ decisions structure their experiences of story outcomes. In Experiment 1, participants read brief stories and explicitly rated which of two potential decisions they thought the characters should make. The actual decision that each character made was either preferred or nonpreferred by readers. By the end of each story, readers learned whether there was a positive or negative outcome to these decisions. Decisions and outcomes either matched (e.g., a preferred decision followed by a positive outcome) or did not match (e.g., a nonpreferred decision followed by a negative outcome). Participants took longer to read outcome sentences when there was a mismatch. In Experiment 2, we replicated this finding with a task that allowed more natural reading. These results provide converging evidence that readers encode responses to characters’ decisions and that these responses affect the time course with which they assimilate story outcomes.     

The ‘Platforms’ for Comparing Incommensurable Taxonomies: A Cognitive-Historical Analysis

This paper examines taxonomy comparison from a cognitive perspective. Arguments are developed by drawing on the results of cognitive psychology, which reveal the cognitive mechanisms behind the practice of taxonomy comparison. The taxonomic change in 19th-century ornithology is also used to uncover the historical practice that ornithologists employed in the revision of the classification of birds. On the basis of cognitive and historical analyses, I argue that incommensurable taxonomies can be compared rationally. Using a frame model to represent taxonomy, I show how rational comparisons were achieved in the historical case through compatible contrast sets and attribute lists. Through analyzing the cognitive processes of classification and concept representation, I further explain how rival taxonomies in the historical case could be rationally compared on ‘platforms’ rooted in such cognitive mechanisms as relational assumptions and preferences for body parts in conceptual processing. This revised version was published online in August 2006 with corrections to the Cover Date.     

Mental rotation is not easily cognitively penetrable

When participants take part in mental imagery experiments, are they using their “tacit knowledge” of perception to mimic what they believe should occur in the corresponding perceptual task? Two experiments were conducted to examine whether such an account can be applied to mental imagery in general. These experiments both examined tasks that required participants to “mentally rotate” stimuli. In Experiment 1, instructions led participants to believe that they could reorient shapes in one step or avoid reorienting the shapes altogether. Regardless of instruction type, response times increased linearly with increasing rotation angles. In Experiment 2, participants first observed novel objects rotating at different speeds, and then performed a mental rotation task with those objects. The speed of perceptually demonstrated rotation did not affect the speed of mental rotation. We argue that tacit knowledge cannot explain mental imagery results in general, and that in particular the mental rotation effect reflects the nature of the underlying internal representation and processes that transform it, rather than participants’ pre-existing knowledge.     

Spatial offloading in multiple task monitoring

Coordinating multiple tasks requires a high degree of cognitive control, and individuals with limited executive functions often show difficulties in everyday multitasking. We tested the hypothesis that demands on executive control can be alleviated by internally representing the temporal pattern of goals and deadlines as spatial relations. In two experiments, participants completed a multitasking session by monitoring deadlines of four clocks running at different rates, along with separate tasks of executive functioning and spatial ability. In Experiment 1, individual and gender-related differences in spatial ability (mental rotation) predicted multitasking performance, beyond the contributions of both the updating and inhibition components of executive functioning, and even when spatial cues were eliminated from the layout of the monitoring task. Experiment 2 extended these findings by showing that concurrent spatial load impaired task monitoring accuracy, and that these detrimental effects were accentuated when spatial abilities were compromized due to fluctuation in female sex hormones. These findings suggest that multiple task monitoring involves working memory-related functions, but that these cognitive control demands can be offloaded by relying on spatial relation processes.     

Simulation,simplicity, and selection: an evolutionary perspective on high-level mindreading

In this paper, I argue that a natural selection-based perspective gives reasons for thinking that the core of the ability to mindread cognitively complex mental states is subserved by a simulationist process—that is, that it relies on non-specialised mechanisms in the attributer’s cognitive architecture whose primary function is the generation of her own decisions and inferences. In more detail, I try to establish three conclusions. First, I try to make clearer what the dispute between simulationist and non-simulationist theories of mindreading fundamentally is about. Second, I try to make more precise an argument that is sometimes hinted at in support of the former: this ‘argument from simplicity’ suggests that, since natural selection disfavours building extra cognitive systems where this can be avoided, simulationist theories of mindreading are more in line with natural selection than their competitors. As stated, though, this argument overlooks the fact that building extra cognitive systems can also yield benefits: in particular, it can allow for the parallel processing of multiple problems and it makes for the existence of backups for important elements of the organism’s mind. I therefore try to make this argument more precise by investigating whether these benefits also apply to the present case—and conclude negatively. My third aim in this paper is to use this discussion of mindreading as a means for exploring the promises and difficulties of evolutionary arguments in philosophy and psychology more generally.     

Probability judgment and subadditivity: The role of working memory capacity and constraining retrieval

In this research, we examined the role that individual differences in working memory (WM) capacity, the strength of alternatives, and time constraints play in probability judgment and subadditivity. With a laboratory-based learning task, Experiment 1 revealed that the degree to which participants’ probability judgments were subadditive was negatively correlated with a measure of WM capacity, even when variance due to short-term memory capacity was removed. In addition, participants were more subadditive when the viable alternatives were all rather weak. Experiment 2 extended the WM-capacity-subadditivity correlation to a population judgment task and revealed that subadditivity increases when the judgment task is performed under time constraints. Results support a model that assumes that people make probability judgments by comparing the focal hypothesis with relevant alternatives retrieved from long-term memory and that people high in WM span include more alternatives in the comparison process. Time constraints are assumed to truncate the alternative generation process, leading to fewer alternatives being recalled from long-term memory.     

Keynote lectures

According to the Cognitive reserve hypothesis, several factors related to mental engagement, such as level of education, type of occupation, leisure activities and social network, appear to affect the risk of developing clinical dementia. The present article provides an overview of the studies that have investigated the effects of mental engagement and cognitive stimulation specifically on dementia of the Alzheimer’s type (AD). Mental training and cognitive stimulation interventions in AD have been shown to be useful in increasing patients’ ability in performing activities of daily living (ADL), allowing them to maintain relative independence. Since cognitive engagement and stimulation are known to modify the brain processes to perform tasks, by recruiting alternative and more efficient networks, this review is especially focused on cognitive rehabilitation in AD patients, which has been shown to improve their global functioning and cognition. This perspective stresses the idea that cognitive reserve is not a fixed factor, but can be continuously modified by life experiences, even when the brain is already affected by neuropathology.