Role of executive functions in the relations of state- and trait-math anxiety with math performance

The detrimental effect of math anxiety on math performance is thought to be mediated by executive functions. Previous studies have primarily focused on trait-math anxiety rather than state-math anxiety and have typically examined a single executive function rather than comprehensively evaluating all of them. Here, we used a structural equation modeling approach to concurrently determine the potential mediating roles of different executive functions (i.e., inhibition, switching, and updating) in the relationships between both state- and trait-math anxiety and math performance. A battery of computer-based tasks and questionnaires were administered to 205 university students. Two relevant results emerged. First, confirmatory factor analysis suggests that math anxiety encompassed both trait and state dimensions and, although they share substantial variance, trait-math anxiety predicted math performance over and above state-math anxiety. Second, working memory updating was the only executive function that mediated the relationship between math anxiety and math performance; neither inhibition nor switching played mediating roles. This calls into question whether some general proposals about the relationship between anxiety and executive functions can be extended specifically to math anxiety. We also raise the possibility that working memory updating or general cognitive difficulties might precede individual differences in math anxiety.

Collaborative encoding with a new categorization task: a contribution to collaborative memory research

Collaborative memory research has focused primarily on the effects of collaboration at recall with collaboration during encoding receiving less attention. In the present study, collaboration was investigated both at encoding and at retrieval to determine its effects and possible interactions. The aim was to clarify whether the collaborative inhibition effect depended on whether the encoding was with the same or with a different partner. A total of 320 participants (160 Italian and 160 Spanish undergraduate students) were administered a modified version of the collaborative memory paradigm with a new categorization task of verbal affective stimuli at encoding. Specifically, they were asked to classify 90 printed words into 6 categories, so as to have 15 words in each category and then did two recall tasks. Participants were assigned to one of five possible conditions according to encoding (collaborative, individual) and recall (collaborative with the same partner, with another partner, and individual). Results show a collaborative encoding deficit and the classic collaborative inhibition effect independently of whether the encoding was collaborative or individual and even in a collaborative recall group that showed a degree of recall output organization comparable to that of the individual recall group. These results are not wholly consistent with a retrieval disruption explanation and are discussed according to divided attention during collaborative recall and how it may contribute to the collaborative inhibition effect.

Emotional processing of math-related words in people with math anxiety

BACKGROUND

Research exploring emotional responses to math-related words in individuals with math anxiety (MA) is scarce. Here, we examined MA participants' subjective emotional processing of math-related cues within Lang's bioinformational model of emotion to further understand the role of those cues in MA.

METHODS

In total, 41 high-MA and 32 low-MA undergraduates rated math-related words, along with neutral, pleasant, and unpleasant words, from the Affective Norms for English Words. The Self-Assessment Manikin was used to calculate valence, arousal, and dominance scores for each word.

RESULTS

The low-MA group rated math-related words as neutral on the three emotional scales, however, the high-MA group rated them lower and higher for valence and dominance than neutral and unpleasant words, respectively. Moreover, math-related words were rated as more and less activating than neutral and unpleasant words, respectively. The two groups significantly differed in scores on the three scales only for the math-related words.

CONCLUSIONS

These results provide evidence that individuals with high MA show altered emotional processing of math-related words, experiencing them as moderately aversive and moderately activating. The findings emphasize that the altered emotional processing of words associated with math should be considered a symptom of MA.

Metacognition in working memory: Confidence judgments during an n-back task

Metacognition in working memory (WM) has received less attention than episodic memory, and few studies have investigated confidence judgements while carrying out a verbal WM task. The present study investigated whether individuals are aware of their own level of performance while carrying out an ongoing verbal WM task, and whether judgments of confidence are sensitive to factors that determine WM performance. A verbal n-back task was adapted to obtain confidence judgments on a trial-by-trial basis. Memory load and lure interference were manipulated. Results showed that metacognition judgments were affected by memory load and levels of interference just as performance accuracy. Even when judgments were sensitive to memory factors, participants were overconfident and generally showed poor metacognitive accuracy at discriminating between erroneous and accurate responses. Results are discussed in terms of possible cues contributing to metacognitive judgements during an ongoing WM task and reasons for WM metacognitive accuracy.

Child and adolescent development of the brain oscillatory activity during a working memory task

The developmental trajectories of brain oscillations during the encoding and maintenance phases of a Working Memory (WM) task were calculated. The Delayed-Match-to-Sample Test (DMTS) was applied to 239 subjects of 6-29 years, while EEG was recorded. The Event-Related Spectral Perturbation (ERSP) was obtained in the range between 1 and 25 Hz during the encoding and maintenance phases. Behavioral parameters of reaction times (RTs) and response accuracy were simultaneously recorded. The results indicate a myriad of transient and sustained bursts of oscillatory activity from low frequencies (1 Hz) to the beta range (up to 19 Hz). Beta and Low-frequency ERSP increases were prominent in the encoding phase in all age groups, while low-frequency ERSP indexed the maintenance phase only in children and adolescents, but not in late adolescents and young adults, suggesting an age-dependent neural mechanism of stimulus trace maintenance. While the latter group showed Beta and Alpha indices of anticipatory attention for the retrieval phase. Mediation analysis showed an important role of early Delta-Theta and late Alpha oscillations for mediation between age and behavioral responses performance. In conclusion, the results show a complex pattern of oscillatory bursts during the encoding and maintenance phases with a consistent pattern of developmental changes.

The relationship between working memory updating components and reading comprehension

The objective of this study was to determine the contribution of retrieval and substitution components of working memory updating to reading comprehension. Difficulties in reading comprehension have been related to the inability to update information in working memory. Updating is a complex process comprising various subprocesses, such as retrieving information into the focus of attention and substituting information that is no longer relevant. Various numerical subtasks requiring or not requiring the substitution and retrieval components of working memory updating, as well as reading comprehension and general cognitive measures, were administered to a sample (n = 148) of 4th grade children. Less-skilled comprehenders showed lower accuracy when information retrieval was required. In contrast, substitution was not related to reading comprehension. These findings suggest that reading comprehension difficulties are related to the efficacy of information retrieval during updating in working memory.

Recollection contributes to children's reading comprehension: Using the process dissociation procedure in a working memory updating task

Recollection, rather than familiarity, seems to play a crucial part in sustaining children's reading comprehension. However, the roles of recollection and familiarity in both word reading and reading comprehension have yet to be fully understood. In this study, we examined estimates of recollection and familiarity in a working memory updating task using an adaptation of the process dissociation procedure. Our study involved 204 children aged 9-11 years. We administered a keeping track task in which lists of words belonging to various semantic categories (e.g., animals) were presented. The children had to follow two sets of instructions: (a) inclusion, which involved saying whether they had seen a word during the previous learning phase, and b) exclusion, which involved saying whether a word was the last one they had seen that belonged to a given category. Our results showed that recollection contributed to explain reading comprehension, but not word reading, performance. Familiarity, instead, did not predict either of the reading measures (word reading or reading comprehension). We discuss these findings in terms of the importance of considering recollection when studying reading processes during development. Alternative explanations considering the role of WM executive functioning are also considered.

Psychometric Properties and Measurement Invariance of the Academic Procrastination Scale-Short Form in Spanish Children and Adolescents

The objectives were to examine the factorial structure of the Academic Procrastination Scale-Short Form (APS-S) and the measurement invariance across gender and educational levels, to determine possible differences in procrastination across gender, educational levels, and grades. The sample was formed of 1486 Spanish primary and secondary school students between the ages of 7 and 19 years. A one-factor model provided an adequate fit. Scalar and partial scalar invariance were achieved through gender and educational levels, respectively. Internal consistency was good and slightly higher for secondary school students than primary school students. Moderate convergent validity was obtained. The APS-S scores showed a weak but significant correlation with math anxiety. Procrastination scores increased with grade, and males showed significantly higher procrastination scores than females. The Spanish APS-S demonstrated adequate reliability and validity scores and could be a useful tool for examining academic procrastination in children and adolescents.

Psychometric Properties, Factor Structure, and Gender and Educational Level Invariance of the Abbreviated Math Anxiety Scale (AMAS) in Spanish Children and Adolescents

The present study aimed to investigate the factor structure and degree of measurement invariance of a Spanish adaptation of the Abbreviated Math Anxiety Scale (AMAS) in primary and secondary school students (N = 1,504 students, 46.08% males, 7-19 years of age). The results of confirmatory factor analysis corroborated the original two-factor structure, although a modified two-factor model with one item loading simultaneously on both factors was better supported. Full measurement invariance was observed across gender, and partial measurement invariance was achieved across educational levels (primary and secondary education). The AMAS showed reasonable internal consistency, test-retest reliability, and convergent validity. These results highlight the utility of the AMAS as a measure of math anxiety in primary and secondary school students whose scores can be compared by gender and educational level.

Age-related changes in selection, recognition, updating and maintenance information in WM. An ERP study in children and adolescents

Possible age-related changes in different working memory (WM) subcomponents were assessed by analyzing the event-related-potentials associated with the n-back task. Two versions of the task (0- and 1-back) were administered to 168 subjects between 6 and 20 years of age. In both n-back tasks, lists of symbol-letter pairs were presented. Participants had to select the letter and decide whether it matched the target in memory. Selection-matching of the relevant item, as indexed by an N2pc component, was evident in all age groups, indicating early maturation of this ability. The decreasing amplitude of the P300 with age, coupled with the longer duration of the load effect in young children, suggests that WM updating requires greater processing resources at younger ages. The slow wave, present during the maintenance period, showed an inversion of polarity with age in anterior sites that could reflect age-related changes in the active maintenance of information in WM.

Nearest transfer effects of working memory training: A comparison of two programs focused on working memory updating

This study analyzed the mechanisms involved in possible transfer effects for two different working memory updating (WMU) training programs administered to young adults and based on two updating paradigms: n-back and arithmetical updating. The influence of practice distribution on transfer effects was also explored by including two training regimens: massed and spaced practice. Performance on different WMU tasks more or less structurally similar to the tasks used in the training was assessed to analyze the nearest transfer effects. Near and far transfer effects were tested using complex working memory (WM) and fluid intelligence tasks. The results showed that the WMU training produced gains in only some of the WMU tasks structurally similar to those used in the training, not in those lacking the same structure, or in WM or fluid intelligence tasks. These limited nearest transfer effects suggest that gains could be due to the acquisition of a specific strategy appropriate for the task during the training rather than to any improvement in the updating process per se. Performance did not differ depending on the training regimen.

Focus Switching in Working Memory

Abstract. Focus switching in working memory involves accessing an object in the focus of attention in order to retrieve its content. Objects in working memory can be viewed as consisting of two types of information: contents (e.g., numerical information) and contexts (e.g., cues to retrieve the contents). This study examined the extent to which content retrieval and context access may be separated. Three experiments were carried out in which object switching and content retrieval were manipulated. In addition, the alternation between the retrieval operations was also manipulated. The main result was that content retrieval required time over and above that needed to access the object. This finding supports the idea that contexts and their contents may be accessed independently when an object is brought into the focus.

Age-related differences in working memory updating components

The aim of this study was to investigate possible age-related changes throughout childhood and adolescence in different component processes of working memory updating (WMU): retrieval, transformation, and substitution. A set of numerical WMU tasks was administered to four age groups (8-, 11-, 14-, and 21-year-olds). To isolate the effect of each of the WMU components, participants performed different versions of a task that included different combinations of the WMU components. The results showed an expected overall decrease in response times and an increase in accuracy performance with age. Most important, specific age-related changes in the retrieval component were found, demonstrating that the effect of retrieval on accuracy was larger in children than in adolescents or young adults. These findings indicate that the availability of representations from outside the focus of attention may change with age. Thus, the retrieval component of updating could contribute to the age-related changes observed in the performance of many updating tasks.

Magnitude Representation and Working Memory Updating in Children With Arithmetic and Reading Comprehension Disabilities

It has been argued that children with learning disabilities (LD) encounter severe problems in working memory (WM) tasks, especially when they need to update information stored in their WM. It is not clear, however, to what extent this is due to a generally poor updating ability or to a difficulty specific to the domain to be processed. To examine this issue, two groups of children with arithmetic or reading comprehension LD and a group of typically developing children (9 to 10 years old) were assessed using two updating tasks requiring to select the smallest numbers or objects presented. The results showed that children with an arithmetic disability failed in a number updating task, but not in the object updating task. The opposite was true for the group with poor reading comprehension, whose performance was worse in the object than in the number updating task. It may be concluded that the problem of WM updating in children with LD is also due to a poor representation of the material to be updated. In addition, our findings suggest that the mental representation of the size of objects relates to the semantic representation of the objects' properties and differs from the quantitative representation of numbers.

Normative data on the n-back task for children and young adolescents

The n-back task is a frequently used measure of working memory (WM) in cognitive neuroscience research contexts, and it has become widely adopted in other areas over the last decade. This study aimed to obtain normative data for the n-back task from a large sample of children and adolescents. To this end, a computerized verbal n-back task with three levels of WM load (1-back, 2-back, and 3-back) was administered to 3722 Spanish school children aged 7–13 years. Results showed an overall age-related increase in performance for the different levels of difficulty. This trend was less pronounced at 1-back than at 2-back when hits were considered. Gender differences were also observed, with girls outperforming boys although taking more time to respond. The theoretical implications of these results are discussed. Normative data stratified by age and gender for the three WM load levels are provided.

The Role of Similarity in Updating Numerical Information in Working Memory: Decomposing the Numerical Distance Effect

The present study investigates the process of updating representations in working memory (WM) and how similarity between the information involved influences this process. In WM updating tasks, the similarity in terms of numerical distance between the number to be substituted and the new one facilitates the updating process. We aimed to disentangle the possible effect of two dimensions of similarity that may contribute to this numerical effect: numerical distance itself and common digits shared between the numbers involved. Three experiments were conducted in which different ranges of distances and the coincidence between the digits of the two numbers involved in updating were manipulated. Results showed that the two dimensions of similarity had an effect on updating times. The greater the similarity between the information maintained in memory and the new information that substituted it, the faster the updating. This is consistent both with the idea of distributed representations based on features, and with a selective updating process based on a feature overwriting mechanism. Thus, updating in WM can be understood as a selective substitution process influenced by similarity in which only certain parts of the representation stored in memory are changed.

Similarity-Based Interference in a Working Memory Numerical Updating Task

Similarity among representations held simultaneously in working memory (WM) is a factor which increases interference and hinders performance. The aim of the current study was to investigate age-related differences between younger and older adults in a working memory numerical updating task, in which the similarity between information held in WM was manipulated. Results showed a higher susceptibility of older adults to similarity-based interference when accuracy, and not response times, was considered. It was concluded that older adults’ WM difficulties appear to be due to the availability of stored information, which, in turn, might be related to the ability to generate distinctive representations and to the process of binding such representations to their context when similar information has to be processed in WM.

The specific role of inhibition in reading comprehension in good and poor comprehenders

Difficulties in inhibitory processes have been shown to characterize the performance of poor comprehenders. However, the inhibitory inefficiency of poor comprehenders is most often assessed by their resistance to proactive interference, that is, the ability to suppress off-goal task information from working memory (WM). In two studies tasks assessing resistance to proactive interference (intrusion errors), response to distracters (Text With Distracters task) and prepotent response inhibition (Stroop and Hayling tests), along with WM measures, were administered to children aged 10 to 11, both good and poor comprehenders. The aim of the study was to specifically determine whether general or specific inhibitory factors affect poor comprehenders' reading difficulties. Results showed that poor comprehenders, compared to good ones, are impaired in WM tasks and in inhibitory tasks that assess resistance to proactive interference. This suggests that reading comprehension difficulties of poor comprehenders are related to specific inhibitory problems.

Age differences in memory control: evidence from updating and retrieval-practice tasks

Some contemporary approaches suggest that inhibitory mechanisms play an important role in cognitive development. In addition, several authors distinguish between intentional and unintentional inhibitory processes in cognition. We report two experiments aimed at exploring possible developmental changes in these two types of inhibitory mechanisms. In Experiment 1, an updating task was used. This task requires that participants intentionally suppress irrelevant information from working memory. In Experiment 2, the retrieval-practice task was used. Retrieval practice of a subset of studied items is thought to involve unintentional inhibitory processes to overcome interference from competing memories. As a result, suppressed items become forgotten in a later memory test. Results of the experiments indicated that younger children (8) were less efficient than older children (12) and adults at intentionally suppressing information (updating task). However, when the task required unintentional inhibition of competing items (retrieval-practice task), this developmental trend was not found and children and adults showed similar levels of retrieval-induced forgetting. The results are discussed in terms of the development of efficient inhibition and the distinction between intentional and unintentional inhibitions.

Retrieval-induced forgetting in recall and recognition of thematically related and unrelated sentences

In three experiments, we assessed the effects of type of relation and memory test on retrieval-induced forgetting of facts. In Experiments 1 and 2, eight sets of four shared-subject sentences were presented for study. They were constructed so that half were thematically related and half were unrelated. A retrieval practice phase required participants to recall a subset of the studied sentences. In the final test, the participants were prompted to recall all the sentences (character cued in Experiment 1 and character plus stem cued in Experiment 2). The results showed that the retrieval-induced forgetting (RIF) effect was similar for thematically related and unrelated sentences, indicating that the presence of episodic relations among the sentences was sufficient to produce the effect. In Experiment 3, a recognition task was introduced and the RIF effect emerged in accuracy as well as in latency measures. The presence of this effect with item-specific cues is difficult to accommodate for noninhibitory theories of retrieval.

Adolescents and their parents' perceptions about parenting characteristics. Who can better predict the adolescent's academic competence?

This study examined family factors reported by parents and their children in relation to children's academic competence. Adolescents and their parents (N=323) reported about the same family characteristics: parental acceptance and involvement in the children's education. Measures related to children's academic competence were: academic competence rated by the teacher, self-reported grades, perceived academic competence and motivational orientation. The results revealed low interrater agreement in family measures. Moreover, ratings by children about parenting characteristics seem higher than those of their parents in predicting academic-related measures. This was true especially in the case of children's reports on acceptance. However, in the case of involvement, parent's reports contributed towards predicting a higher number of variables.

Differential allocation of study time: incomplete compensation for the difficulty of the materials

The results of many experiments have shown that although people distribute their study time depending on the perceived difficulty of the materials, they do not succeed in compensating for this difficulty (e.g., Mazzoni & Cornoldi, 1993). The purpose of this paper was to explore possible ways to induce compensation. The objective difficulty of the items was varied by manipulating their concreteness. In Experiment 1, we explored whether compensation could be increased through practice. In Experiment 2, predictive memory judgements were obtained to determine to what extent participants were sensitive to the characteristics of the material that made it difficult. Finally, in Experiment 3, participants were given instructions designed to achieve complete compensation. Results showed that although participants' judgements of learning and their allocation of time were sensitive to the objective difficulty of the materials, this knowledge was not spontaneously used to compensate. Thus, even with practice participants recalled more easy items than difficult ones. Only instructions that induced greater awareness of the nature of the material were able to produce complete compensation.