Skills underlying mathematics: The role of executive function in the development of mathematics proficiency

Transfer of congruency effects between Stroop and multiplication tasks: Evidence that retrieval of multiplication facts requires inhibitory control

Inhibitory control is classically considered a domain-general process, yet recent findings suggest it may operate in context-specific ways. This has important implications for theories in other cognitive domains, such as mathematics, in which inhibitory control is proposed to play a key role. Inhibitory control has been implicated in resolving interference between competing number facts when retrieving them from memory, yet clear evidence for this is lacking. Here we report two pre-registered experiments with adults that investigated transfer of inhibitory control between interleaved Stroop and multiplication fact retrieval trials. Experiment 1 (n = 450) measured the congruency sequence effect, where transfer of inhibitory control between trials leads to a reduced congruency effect following an incongruent trial. Experiment 2 (n = 370) measured transfer of the list-wide proportion congruency effect, where the congruency effect is reduced when incongruent trials are more frequent. We found evidence of transfer of the congruency sequence effect between Stroop and multiplication. This did not differ depending on whether the Stroop task used number or animal stimuli. There was no transfer of the list-wide proportion congruency effect. These results suggest that reactive, transient domain-general inhibitory control processes are involved in retrieving multiplication facts from memory. Our findings have implications for theories of cognitive control and mathematical cognition, but caution should be taken in interpreting implications for educational interventions.

How Do Components of Executive Function Relate to Taiwanese Sixth Graders' Mathematical Skills?

Executive functions are crucially important for helping to explain children's mathematical performances. We investigated the relationships between components of executive functions and different aspects of mathematical ability in young school-aged Taiwanese children. In a cross-sectional design, a typically developing group of 122 sixth-grade students completed tests battery of working memory (WM), inhibition, and set-shifting tests, and a measure of achievement competence in mathematical concepts, computation, and applied problems. We found significant associations between general intellectual ability, working memory, inhibition, and set-shifting, and between these abilities and different mathematical skills. Verbal and spatial WM was positively correlated with different mathematical skills, and inhibition and set-shifting were positively correlated with mathematical performance to a lesser extent. We conducted partial correlation analyses to control for participants' age, socioeconomic status, and processing speed, and we then found that verbal and spatial WM was related to the math domains of concepts, computation, and applied problems. Meanwhile, inhibition was correlated with the domain of applied problems. Regression analyses revealed that varied domains of mathematical skills were best predicted by a general intelligence index (GAI) and verbal working memory (WM). Inhibition predicted better performance in applied problems. We discuss the limitations and implications of these findings, as they provide important information about the specific associations between aspects of executive function and components of mathematics performance in middle childhood.

Enhancing children's numeracy and executive functions via their explicit integration

Executive functions (EF) are crucial to regulating learning and are predictors of emerging mathematics. However, interventions that leverage EF to improve mathematics remain poorly understood. 193 four-year-olds (mean age = 3 years; 11 months pre-intervention; 111 female, 69% White) were assessed 5 months apart, with 103 children randomised to an integrated EF and mathematics intervention. Our pre-registered hypotheses proposed that the intervention would improve mathematics more than practice as usual. Multi-level modelling and network analyses were applied to the data. The intervention group improved more than the control group in overall numeracy, even when controlling for differences across settings in EF and mathematics-enhancing practices. EF and mathematics measures showed greater interconnectedness post-intervention. In addition, disadvantaged children in the intervention group made greater gains than in the control group. Our findings emphasise the need to consider EFs in their integration with co-developing functions, and in their educational and socio-economic context.

Specificity, Co-Occurrence, and Growth: Math and Reading Skill Development in Children With Learning Disabilities

Learning disabilities are challenging to characterize because they evolve throughout development, frequently co-occur, and have varying domain specificity. Addressing these challenges, we analyzed longitudinal patterns of growth, co-occurrence, and specificity manifesting in the math and reading skills of children with and without learning disabilities. With a sample of 498 Grade 1 children followed for 5 years, we used linear mixed-effects models to explore group-level differences among children with math disability (MD), reading disability (RD), co-occurring disability, and no disability. Findings revealed: Math and reading trajectories of children with learning disabilities parallel those of children without disabilities. Skill growth slows over time, regardless of skill level, suggesting disability-related impairments will not resolve without intervention. Impairment levels and growth trajectories of children with co-occurring disabilities match the within-domain patterns of children with isolated disabilities, supporting a longitudinally maintained additive model of co-occurrence. MD and RD show varying specificity. MD impairments are domain-specific and become more pronounced over time. RD impairments impact both domains early, become more domain-specific over time, but maintain curriculum-contingent math deficits. Findings suggest early math intervention should balance linguistic and conceptual support, as the source of a child's math difficulties may not be clear until well into elementary school.

Revisiting working memory 50 years after Baddeley and Hitch: A review of field-specific conceptualisations, use and misuse, and paths forward for studying children

As trained educational and developmental psychologists who study the role of working memory in educational outcomes, we know the various assumptions made about definitions and measurements of this cognitive ability. Considering the popularity of the Baddeley and Hitch working memory model in these fields, we raise challenges related to measurement, overlap with executive function, and adopting working memory measurement approaches from adult models. We propose that researchers consider how working memory tasks might tap multiple other abilities. This is problematic in the context of child cognitive development and in understanding which factors explain educational outcomes in children. We recommend giving greater attention to the central executive, acknowledging the overlap between the central executive and executive function in study design, and investigating a developmental model in the context of the broader abilities evoked in measurement. These recommendations may provide a fuller understanding of working memory's mechanistic role in children's learning and development and assist in developing reasonable adjustments for specific aspects of working memory for children who struggle.

Mathematics Achievement in Women With and Without ADHD: Childhood Predictors and Developmental Trajectories Into Adulthood

Youth with attention-deficit/hyperactivity disorder (ADHD) often exhibit impairments in mathematics, but long-term math development into adulthood, particularly in females, is underexplored. We characterized trajectories of math achievement in girls with ADHD and an age- and ethnicity-matched comparison sample from childhood through early adulthood across four waves and examined childhood cognitive predictors (global executive functioning, working memory, processing speed) of trajectories. The ethnically and socioeconomically diverse sample comprised 140 girls with carefully diagnosed ADHD and 88 neurotypicals, ages 6 to 12 years at baseline. Using latent growth curve models, we examined predictors of 16-year math achievement trajectories. In both the ADHD and neurotypical groups, scores declined over time; rates of change did not differ significantly. Yet in the ADHD sample, math difficulties (defined as scores at least 1 SD below the national average) increased notably over time, with many such difficulties emerging after childhood. By adulthood, nearly half of women with ADHD exhibited clear math difficulties. Worse baseline global executive functioning predicted slower math growth over time. Girls with ADHD may benefit from math supports before concerns emerge or worsen after childhood. Additional research on preventive interventions for math difficulties, including investigation of executive functioning, is warranted.

Children's arithmetic strategy use trajectories: Exploring the roles of executive functions and sociodemographic characteristics

Although young children often use counting to solve arithmetic problems, over time they move toward more efficient strategies such as direct retrieval and decomposition. Strategy selection has longitudinal associations with children's math achievement. Existing research indicates that children's executive functions (EFs) support inhibiting unnecessary strategies and adaptively switching between strategies. Moreover, research has documented gender differences in strategy use, but prior literature does not account for the contributions of socioeconomic factors in children's strategy trajectories. The current study examined the unique roles of preschoolers' EFs, gender, household income, and maternal education for the trajectories of strategy use on arithmetic problems across early elementary school. Preschoolers' EFs were assessed at 5 years 3 months of age, and children completed addition and subtraction problems in first, second, and third grades. Children's strategies were categorized as retrieval, counting, decomposition, and sign flipping. Results indicated that children with higher EFs were more likely to use retrieval and sign flipping in first grade compared with children with lower EFs, and this advantage was maintained into third grade. Boys used more retrieval and decomposition, whereas girls used more counting strategies, in first grade, and this pattern held longitudinally. Finally, children whose mothers had more years of education were likely to use decomposition and sign flipping in first grade, with an advantage through third grade. Overall, the current study sheds light on how cognitive and sociodemographic factors differentially contribute to children's accurate strategy use, with implications for how to best target early interventions to support children's math achievement.

Comparative Study of the Development of Executive Functions in Children: Transition from the First Cycle to the Second Cycle of Early Childhood Education

ANTECEDENTS

Executive functions (EFs) are the basis for establishing a goal and working towards that goal by coordinating thoughts and actions. EFs are fundamental to several aspects of daily life, specifically for academic performance.

AIM

To analyse and compare the development of EFs in the transition period between the first and second cycles of early childhood education.

METHODOLOGY

Non-experimental methodology, ex post facto design, descriptive, cross-sectional evolution study.

PARTICIPANTS

Preschoolers of different educational levels (first and second cycle of infant education). In this study, the participants were evaluated by different informants: 54.42% by parents and 45.58% by teachers. In relation to gender, 52.65% were male and 47.35% were female. In relation to age, 37.54% had a range of 2-3 years and 62.46% had a range of 4-5 years.

MEASUREMENT

The instrumental development of EFs was evaluated using BRIEF-P by key informants.

RESULTS

Preschoolers in the first cycle showed significantly higher scores than preschoolers in the second cycle in BRIEP-P.

CONCLUSIONS

The development of EFs is key in these first key moments, having a special impact on later development and academic performance. It is necessary to work on EFs from the first cycle of early childhood education, considering the evolutionary development of EFs.

The Role of Inhibition as a Component of Executive Functions in Metaphorical Embodiment

This article discusses the role of inhibition as a component of executive functions in metaphorical embodiment of concepts and explains some incongruent evidence for metaphorical embodiment. Some past works have explained the incongruent evidence for metaphorical embodiment of concepts on the basis of conventionality/novelty of metaphors. Based on theories of embodiment, when a word that refers to an object is used in its literal sense, all sensorimotor networks that are involved in perceiving the object are activated, and sensorimotor features of the object are embodied. However, when the same word is used in a metaphorical sense as the base of a metaphor, only a single salient semantic feature that defines the metaphorical meaning of the word is embodied. The other semantic features, which are metaphorically irrelevant, are inhibited during metaphor comprehension. The activation/embodiment of the salient metaphorically-relevant feature and the inhibition of metaphorically-irrelevant features are dependent on base-target relationship, contextual information, and conventionality/novelty of metaphorical expression. Therefore, meaning of a single term can be metaphorically embodied in a variety of ways in different situations and in different metaphorical expressions. It is suggested that this can be one reason for non-congruency of evidence for metaphorical embodiment of concepts.

Gestures Enhance Executive Functions for the Understating of Mathematical Concepts

This article discusses the role of gestures in enhancing inhibition, working memory, and cognitive flexibility as the three components of executive functions during the processing of mathematical concepts that are metaphorically described in terms of motion events. Gestures can contribute to the process of inhibition by highlighting the relevant information and keeping the irrelevant information out of focus of attention. Gestures contribute to working memory in two ways during mathematical processing. They increase activity in the motor areas of the brain. Therefore, they may facilitate the process of understanding those mathematical concepts that are described in terms of motion event, as the motor system could play a role in the grounding and the processing of these concepts. Also, gestures can function as an external working memory and keep the visual representation of some parts of information for a short period of time in order to manipulate that information in later stages of processing. Gestures enhance cognitive flexibility by allowing us to have a spatial representation of that concept or idea for a period of time. During this time, we can shift our perspective and process that concept or idea from a variety of perspectives.

The interconnection of orthographic, phonetic, and semantic skills with arithmetic fluency

Arithmetic fluency is considered considers highly rely on language processing, encompassing essential skills. However, the independent predictive power of phonetic, semantic, or orthographic skills in relation to arithmetic fluency remains an unresolved query. This study introduces the common component hypothesis to elucidate the inconsistent findings in previous research. The hypothesis posits that significant correlations between language and mathematics hinge on whether the language and mathematics utilized in a given task share a common component. According to this hypothesis, processing skills for each of the three fundamental language elements (i.e., phonetic, semantic, orthographic) should correlate with arithmetic fluency, as these elements are also integral to simple arithmetic processing. A cohort of one hundred and ninety-eight primary school students participated in the study, undertaking a battery of tests assessing general cognitive abilities, psycholinguistic elements, and arithmetic fluency. The results showed that orthographic, phonetic, and semantic abilities independently predicted arithmetic fluency, even after accounting for all other cognitive predictors. These findings substantiate the common component hypothesis, providing empirical support for explaining the association between language and mathematics. This evidence contributes to addressing the interplay between language and mathematics in educational contexts.

Cognitive heterogeneity in Attention Deficit Hyperactivity Disorder: Implications for maths

This study investigated whether cognitive function better predicted maths test performance than a clinical diagnosis of attention deficit hyperactivity disorder (ADHD). Forty-four drug naïve children (Mage = 101.34 months, SD = 19.39; 30% girls) were recruited from clinical ADHD referral waiting lists. Children underwent assessment of Executive Functions (EF), lower-level cognitive processes, and maths performance. Children were grouped using a categorical approach comprising (1) children with a clinical ADHD diagnosis and (2) children without a diagnosis (i.e., subthreshold ADHD). Secondly, hierarchical cluster analysis generated subgroups of children using EF scores. Children were compared on cognition, maths, and parent-rated symptoms of ADHD and co-occurring difficulties. Children's diagnostic outcomes did not differentiate maths performance. By contrast, EF subgroups generated meaningful cognitive clusters which differentiated maths test scores. This suggests that cognitive patterns of performance, rather than children's diagnostic outcomes, are more informative for identifying meaningful groups with variable maths performance which has implications for remedial support.

Weaker number sense accounts for impaired numerosity perception in dyscalculia: Behavioral and computational evidence

Impaired numerosity perception in developmental dyscalculia (low "number acuity") has been interpreted as evidence of reduced representational precision in the neurocognitive system supporting non-symbolic number sense. However, recent studies suggest that poor numerosity judgments might stem from stronger interference from non-numerical visual information, in line with alternative accounts that highlight impairments in executive functions and visuospatial abilities in the etiology of dyscalculia. To resolve this debate, we used a psychophysical method designed to disentangle the contribution of numerical and non-numerical features to explicit numerosity judgments in a dot comparison task and we assessed the relative saliency of numerosity in a spontaneous categorization task. Children with dyscalculia were compared to control children with average mathematical skills matched for age, IQ, and visuospatial memory. In the comparison task, the lower accuracy of dyscalculics compared to controls was linked to weaker encoding of numerosity, but not to the strength of non-numerical biases. Similarly, in the spontaneous categorization task, children with dyscalculia showed a weaker number-based categorization compared to the control group, with no evidence of a stronger influence of non-numerical information on category choice. Simulations with a neurocomputational model of numerosity perception showed that the reduction of representational resources affected the progressive refinement of number acuity, with little effect on non-numerical bias in numerosity judgments. Together, these results suggest that impaired numerosity perception in dyscalculia cannot be explained by increased interference from non-numerical visual cues, thereby supporting the hypothesis of a core number sense deficit. RESEARCH HIGHLIGHTS: A strongly debated issue is whether impaired numerosity perception in dyscalculia stems from a deficit in number sense or from poor executive and visuospatial functions. Dyscalculic children show reduced precision in visual numerosity judgments and weaker number-based spontaneous categorization, but no increasing reliance on continuous visual properties. Simulations with deep neural networks demonstrate that reduced neural/computational resources affect the developmental trajectory of number acuity and account for impaired numerosity judgments. Our findings show that weaker number acuity in developmental dyscalculia is not necessarily related to increased interference from non-numerical visual cues.

Unraveling the interplay between math anxiety and math achievement

A robust association exists between math anxiety and math achievement, with higher levels of anxiety correlating with lower achievement. Understanding this relationship is crucial due to the importance of math proficiency at individual and societal levels. In this review, we explore two prominent theories: Reduced Competency Theory, which suggests that initial low math achievement leads to math anxiety, and Processing Efficiency Theory, which suggests that math anxiety impairs performance by diverting cognitive resources. While these theories are supported by empirical evidence, they do not fully explain the mediators linking math anxiety and achievement. We propose 'math avoidance' as a critical mediator, suggesting that avoidance behaviors, formed through conditioning, create a feedback loop that exacerbates math anxiety and reduces proficiency.

How Distracting Events Influence Young and Older adults' Arithmetic Performance?

In this study, I investigated the role of distraction on arithmetic performance and whether this role changes with aging during adulthood. Young and older adults were asked to verify one-digit addition problems (Expt. 1) or to estimate the results of two-digit multiplication problems (Expt. 2). In both experiments, true and false simple problems (Expt. 1) or easier and harder complex problems (Expt. 2) were displayed superimposed or not on irrelevant, emotionally neutral pictures (e.g. mushrooms). In both simple and complex arithmetic, young and older adults obtained poorer arithmetic performance under distraction relative to no-distraction conditions. Most interesting, deleterious effects of irrelevant stimuli on arithmetic performance were larger in older than in young adults. Moreover, magnitude of distraction effects increased with longer solution latencies in young (but not in older) adults while solving complex arithmetic problems. These findings have important implications for furthering our understanding of the role of distraction on cognitive performance in general, and arithmetic performance in particular, as well as age-related differences in this role.

Executive functioning profiles and mathematical and reading achievement in Grades 2, 6, and 10

Using a person-centered approach, we aimed to identify different executive functioning profiles to assess heterogeneity across individuals within the same school grade through latent profile analysis. A sample of 150 Grade 2 (7-8 years old), 150 Grade 6 (11-12 years old), and 150 Grade 10 (15-16 years old) children and adolescents were assessed on 11 different executive tasks representative of the three main executive functioning subcomponents (i.e., inhibition, cognitive flexibility, and working memory), fluid intelligence, processing speed, problem-solving, and reading comprehension. Three different executive functioning profiles of different patterns of interactions based on inhibition, cognitive flexibility, and working memory within and between grades were identified. Moreover, these profiles were differentially related to reading comprehension and mathematical achievement. Second, as expected, we did not find these profiles to be associated with sociodemographic variables such as chronological age or sex. Still, fluid intelligence and processing speed were differentially related to the different profiles at each grade. We also found that the executive functioning profiles interacted with each cognitive skill (i.e., fluid intelligence and processing speed) in predicting reading comprehension and math achievement. These findings provide valuable insights for developing preventive and intervention strategies in education.

Bridging the Connection between Fluency in Reading and Arithmetic

This study examines the contribution of early executive functions (EFs) in the association between fluency in reading and arithmetic. Kindergarten children (N = 1185) were assessed on executive functions skills and on reading and arithmetic fluency in Grade 1 and Grade 3. The analysis revealed that beyond the connection within each domain there is a unidirectional effect between fluency measures, with Grade 1 reading fluency significantly influencing the development of arithmetic fluency in Grade 3. Furthermore, the findings indicate that kindergarten EFs significantly contribute to arithmetic fluency at both time points and to reading fluency in the first grade. Early EF skills also emerged as significant contributors to the associations between fluency performance in reading and arithmetic, suggesting that the influence of EFs extends beyond individual academic domains. These findings have implications for understanding the cognitive mechanisms that underlie the relations between these academic skills.

Math Abilities Among Children with Neurodevelopmental Difficulties: Understanding Cognitive Factors and Evaluating a Pilot Intervention

Math development in children relies on several underlying cognitive functions, including executive functions (EF), working memory (WM), and visual-motor abilities, such as visual-motor integration (VMI). Understanding how these cognitive factors contribute to children's math performance is critical to supporting math learning and long-term math success. The present quasi-experimental waitlist control study (N = 28) aimed to (a) examine the unique contributions of EF, WM, and VMI to math abilities among children ages 5-8 years old with neurodevelopmental difficulties; (b) determine whether a math intervention (the Mathematics Interactive Learning Experience; MILE) that supports these cognitive processes was effective when modified to be delivered to small groups in a school setting, and (c) examine whether any participant characteristics, such as age or IQ, were correlated with post-intervention math score changes. At baseline, participants' math scores were significantly below the normative mean in all math content areas (ps < .01). EF, WM, and VMI were highly correlated with math ability; however, verbal WM was the only unique predictor of math ability in regressions analysis. Compared to a waitlist control group, children in the immediate MILE intervention group achieved significantly greater math gains overall. When all children who ultimately completed the intervention were considered together, significant improvement was observed in more than half of math content areas. Furthermore, at the individual level, 85.7% of participants showed reliable change in at least one math content area. Implications for supporting math learning in children with neurodevelopmental difficulties are discussed.

Executive functions as predictors of learning prerequisites in preschool: A longitudinal study

INTRODUCTION

This study focuses on 'learning prerequisites', cognitive and non-cognitive skills crucial for school success, often measured in preschoolers. Executive Functions (EF), like inhibition and cognitive flexibility, are vital among these prerequisites. While EF's role in early literacy and numeracy is acknowledged, some components are often overlooked.

OBJECTIVE

The study aims to longitudinally explore the link between EF, assessed at the beginning of the preschool year and the learning prerequites, measured at the end of the same preschool year.

METHOD AND RESULTS

Evaluating 70 preschoolers (62.30 months, SD 4.55), results showed that certain EF measures predicted performance in literacy and numeracy tasks. Specifically, response inhibition predicted rhyme and syllable recognition, series completion, and cognitive flexibility predicted rhyme recognition. Moreover, EF, particularly response inhibition, correlated with overall metaphonology and pre-math abilities.

CONCLUSION

The findings suggest the importance of integrating EF enhancement in early educational interventions, aiding in selecting and optimizing EF skills crucial for later academic success.

Effects of physically active maths lessons on children's maths performance and maths-related affective factors: Multi-arm cluster randomized controlled trial

BACKGROUND

Physical activity (PA) may benefit academic performance, but it is unclear what kind of classroom-based PA is optimal for learning.

AIM

We studied the effects of physically active maths lessons on children's maths performance and maths-related effects, and whether gender and previous mathematical or motor skills modify these effects.

SAMPLE

A total of 22 volunteered teachers and their pupils with signed consent (N = 397, mean age: 9.3 years, 51% females) participated in a 5-month, teacher-led, multi-arm, cluster-randomized controlled trial.

METHODS

The intervention included a PAL group (20 min of physically active learning in each 45-min lesson), a breaks group (two 5-min PA breaks in each 45-min lesson) and a control group (traditional teaching). Maths performance was assessed with a tailored curriculum-based test. Maths-related enjoyment, self-perceptions and anxiety were measured with a self-reported questionnaire. The individual-level intervention effects were tested via covariate-adjusted linear mixed-effect models with school classes serving as random effects.

RESULTS

Changes in maths performance or self-perceptions did not differ between the intervention groups. Maths anxiety in learning situations increased in the PAL group (effect .28, 95% CI = .01-.56); there was no change in the other groups. Subgroup analyses suggested that maths anxiety increased in the PAL group among children in the two lowest tertiles of motor skills. It decreased in the highest tertile. Enjoyment decreased in the breaks group among pupils in the lowest motor skill tertile.

CONCLUSIONS

Physically active maths lessons did not affect maths performance or self-perceptions but had divergent effects on maths anxiety and enjoyment, depending on motor skills.

Motor activities to improve maths performance in pre-school children with typical development

Poor maths skills are associated with negative outcomes throughout life, such as lower academic qualifications, decreased professional success and socio-economic results. Mathematical skills emerge continuously throughout childhood and those that children acquire in pre-school are crucial for activities that support analytical thinking, problem-solving and reasoning and argumentation skills. Many of these activities are related to motor skills, since certain cognitive and motor areas of the brain are activated simultaneously when solving maths problems. Of all motor skills, visuomotor integration skills have been documented as those that are most consistently positively and significantly associated with maths performance in pre-school children. These skills are influenced by visual perception (spatial and attention skills), fine motor coordination and gross motor skills. Early intervention can improve visuomotor integration skills in pre-school children. Of all skills that make up visuomotor integration, spatial skills, in addition to being the first skills to influence numerical knowledge and the recognition of geometric shapes, are also those skills that form part of the majority of programs and activities to be worked on with pre-school children for the development of mathematical concepts. However, most intervention programs or activities to develop spatial skills are carried out in the classroom, usually through activities involving handling small objects. In this sense and given the significant association between visuomotor integration skills and gross motor skills, the main objective of this study was to list a set of activities to develop spatial skills, with a strong involvement of gross motor skills, in a classroom, playground or home context.

Diversity of spatial activities and parents' spatial talk complexity predict preschoolers' gains in spatial skills

Children's spatial activities and parental spatial talk were measured to examine their associations with variability in preschoolers' spatial skills (N = 113, Mage = 4 years, 4 months; 51% female; 80% White, 11% Black, and 9% other). Parents who reported more diversity in daily spatial activities and used longer spatial talk utterances during a spatial activity had children with greater gains in spatial skills from ages 4 to 5 (β = .17 and β = .40, respectively). Importantly, this study is the first to move beyond frequency counts of spatial input and investigate the links among the diversity of children's daily spatial activities, as well as the complexity of parents' spatial language across different contexts, and preschoolers' gains in spatial skills, an important predictor of later STEM success.

Numerosity comparison, cognitive strategies, and general cognitive functioning in older people

Introduction

Studies have shown age-related differences in numerical cognition, for example, in the level of numerosity comparison ability. Moreover, some studies point out individual differences in the cognitive strategies employed during the performance of numerosity comparison tasks and reveal that they are related to the aging process. One probable cause of these differences is the level of cognitive functioning. The aim of our study was to determine the relationships among numerosity comparison ability, the cognitive strategies utilized in the performance of numerosity comparison tasks and the general cognitive functioning in older people.

Methods

Forty-seven elderly people participated in the study. The participants were examined using overall cognitive functioning scales and computerized numerosity comparison task.

Results

The results showed many correlations between the participants' level of cognitive functioning and the percent of correct responses (PCR) and response time (RT) during numerosity comparison, as well as with the cognitive strategies applied by the participants. Task correctness was positively related to the level of performance in the attention and executive function tasks. In contrast, the long-term memory resources index and visuospatial skills level were negatively correlated with RT regarding numerosity comparison task performance. The level of long-term memory resources was also positively associated with the frequency of use of more complex cognitive strategies. Series of regression analyses showed that both the level of general cognitive functioning and the cognitive strategies employed by participants in numerosity comparison can explain 9-21 percent of the variance in the obtained results.

Discussion

In summary, these results showed significant relationships between the level of cognitive functioning and proficiency in numerosity comparison measured in older people. Moreover, it has been shown that cognitive resources level is related to the strategies utilized by older people, which indicates the potential application for cognitive strategy examinations in the development of new diagnostic tools.

The role of Mathematical Semiotic Signs in Enhancing Working Memory and Inhibition as the Components of Executive Functions

In this paper, we draw on Charles Sanders Pierce's typology of semiotic signs and suggest that the three types of signs (icon, index, and symbol) enhance working memory and inhibition through three different mechanisms: icons support the process of embodiment; indexes strengthen focus of attention; symbols enhance the process of generalization. Mathematical icons enhance the process of embodying mathematical entities. They help the individual hold the information associated with a mathematical entity in the visual working memory and suppress information that is irrelevant to the task. Indexes strengthen focus of attention by directly referring to the place of mathematical entities and disregarding contextually-irrelevant stimuli. Symbols enhance the process of generalization by suppressing low-level information and reducing the load on working memory. Since cognitive flexibility as the third component of executive functions builds on working memory and inhibition, it can be hypothesized that mathematical signs contribute to this component as well.

How learning influences non-symbolic numerical processing: effects of feedback in the dot comparison task

It has long been debated how humans estimate the numerosity of sets of elements and what role continuous visual properties play in this process. The dot comparison task, in which the more numerous of two dot arrays must be selected, is a dominant method to investigate this phenomenon. It has been shown that the visual properties of the two dot patterns strongly influence the comparison. This influence can be systematically investigated by manipulating visual properties congruently and incongruently with numerosity. However, it remains unclear how learning and prior experience affect the influence of the visual properties. To address this question, we introduced feedback into the classical dot comparison task: during the learning phase, participants in the experimental group received feedback after each trial indicating whether their answer was correct whereas participants in the control group did not. After the learning phase, neither group received feedback. The convex hull of the dot patterns and the average dot diameter were manipulated congruently and incongruently with numerosity. Our results show that feedback had no effect on overall performance. However, when manipulated separately, dot diameter no longer affected performance in the experimental group after the learning phase, but it did in the control group. Moreover, this effect remained visible even when diameter and convex hull were manipulated simultaneously. This pattern of results is consistent with the notion of sensory integration which proposes that weights are assigned to different visual cues and that numerical judgments depend on an additive combination of these weights. We also found a correlation between performance on an arithmetic task and performance on trials in which dot size was manipulated incongruently with numerosity. However, there were no correlations between an inhibition task and performance in the dot comparison task. Taken together, the current results suggest that learning with feedback may affect some visual properties but not others. Future studies should further investigate a wider range of visual properties to examine which of them can be influenced by learning and under what conditions learning occurs.

Processing Speed Deficit and Its Relationship with Math Fluency in Children with Attention-Deficit/Hyperactivity Disorder

OBJECTIVES

(1) To determine the processing speed (PS) deficit in children with ADHD; and (2) To investigate if PS deficit was the primary cause of daily dysfunction in ADHD by testing the direct and indirect effects via working memory (WM) of PS on math fluency (MF).

METHOD

Seventy-eight children (52 children with ADHD and 26 controls) were tested on their motor, perceptual, cognitive, and verbal PS, WM, and MF.

RESULTS

Children with ADHD performed worse than controls on all PS, suggesting a general PS deficit. Moreover, cognitive PS was a significant predictor for MF. Mediation analysis showed that cognitive PS had direct and indirect effects via WM on MF, suggesting PS deficit might be the primary cause of MF difficulties in ADHD.

CONCLUSION

Findings of this study suggested a general PS deficit in ADHD. Due to the importance of PS in MF, interventions for MF underachievers should include assessment and training of PS.

Executive functions-based reading training engages the cingulo-opercular and dorsal attention networks

The aim of this study was to determine the effect of a computerized executive functions (EFs)-based reading intervention on neural circuits supporting EFs and visual attention. Seed-to-voxel functional connectivity analysis was conducted focusing on large-scale attention system brain networks, during an fMRI reading fluency task. Participants were 8- to 12-year-old English-speaking children with dyslexia (n = 43) and typical readers (n = 36) trained on an EFs-based reading training (n = 40) versus math training (n = 39). Training duration was 8 weeks. After the EFs-based reading intervention, children with dyslexia improved their scores in reading rate and visual attention (compared to math intervention). Neurobiologically, children with dyslexia displayed an increase in functional connectivity strength after the intervention between the cingulo-opercular network and occipital and precentral regions. Noteworthy, the functional connectivity indices between these brain regions showed a positive correlation with speed of processing and visual attention scores in both pretest and posttest. The results suggest that reading improvement following an EFs-based reading intervention involves neuroplastic connectivity changes in brain areas related to EFs and primary visual processing in children with dyslexia. Our results highlight the need for training underlying cognitive abilities supporting reading, such as EFs and visual attention, in order to enhance reading abilities in dyslexia.

Resisting the urge to calculate: The relation between inhibitory control and perceptual cues in arithmetic performance

Subtle visual manipulations to the presentation of mathematical notation influence the way that students perceive and solve problems. While there is a consistent impact of perceptual cues on students' problem-solving, other cognitive skills such as inhibitory control may interact with perceptual cues to affect students' arithmetic problem-solving performance. We present an online experiment in which college students completed a version of the Stroop task followed by arithmetic problems in which the spacing between numbers and operators was either congruent (e.g., 2 + 3×4) or incongruent (e.g., 2+3 × 4) to the order of precedence. We found that students were comparably accurate between problem types but might have spent longer responding to problems with congruent than incongruent spacing. There was no main effect of inhibitory control on students' performance on these problems. However, an exploratory analysis on a combined performance measure of accuracy and response time revealed an interaction between problem type and inhibitory control. Students with higher inhibitory control performed better on congruent versus incongruent problems, whereas students with lower inhibitory control performed worse on congruent versus incongruent problems. Together, these results suggest that the relation between inhibitory control and arithmetic performance may not be straightforward. Furthermore, this work advances perceptual learning theory and contributes new findings on the contexts in which perceptual cues, such as spacing, influence arithmetic performance.

Cognitive Foundations of Early Mathematics: Investigating the Unique Contributions of Numerical, Executive Function, and Spatial Skills

There is an emerging consensus that numerical, executive function (EF), and spatial skills are foundational to children's mathematical learning and development. Moreover, each skill has been theorized to relate to mathematics for different reasons. Thus, it is possible that each cognitive construct is related to mathematics through distinct pathways. The present study tests this hypothesis. One-hundred and eighty 4- to 9-year-olds (Mage = 6.21) completed a battery of numerical, EF, spatial, and mathematics measures. Factor analyses revealed strong, but separable, relations between children's numerical, EF, and spatial skills. Moreover, the three-factor model (i.e., modelling numerical, EF, and spatial skills as separate latent variables) fit the data better than a general intelligence (g-factor) model. While EF skills were the only unique predictor of number line performance, spatial skills were the only unique predictor of arithmetic (addition) performance. Additionally, spatial skills were related to the use of more advanced addition strategies (e.g., composition/decomposition and retrieval), which in turn were related to children's overall arithmetic performance. That is, children's strategy use fully mediated the relation between spatial skills and arithmetic performance. Taken together, these findings provide new insights into the cognitive foundations of early mathematics, with implications for assessment and instruction moving forward.

The Relation between Cognitive and Emotional Processes in Children and Adolescents with Neurodevelopmental Disorders-A Meta-Analysis

BACKGROUND

Up to 80% of children with autism spectrum disorders (ASDs) have mental health issues-either emotional or behavioral problems. The underlying mechanisms are still unknown, even if emotional regulation (ER) is considered to play a major role in child and adolescent psychopathology. Several studies link the ability to regulate the intensity and quality of emotions with executive functioning. Therefore, we aimed to investigate the association between executive functions (EFs) and ER and affective problems in children with ASD.

METHODS

This meta-analysis is based on a literature search of peer-reviewed journals from the following databases: Scopus, ProQuest, Ebsco, Science Direct, Springer Link and Clarivate. We analyzed 15 studies that investigated the link between EF, ER or affective problems (APs) in children and adolescents with ASD aged between 2 and 18 y with ASD. To assess the effect size of the relationship between EF and ER, and EF and AP, 15 studies comprising 54 effect sizes were analyzed.

RESULTS

Our findings revealed a small effect size regarding the association between EF and ER, r = 0.331, p = 0.034, and a small effect size regarding the association between EF and AP, r = -0.213, p = 0.024. No significant moderators were found. The results are presented in regard to the two analyses developed, as well as a short review of the studies included in the meta-analysis.

CONCLUSION

Even if there are several limitations of this study, especially considering the small number of studies included, the results suggest that it is worth considering EF as an underlying mechanism for the appearance of emotional or behavioral problems in children with ASD. These findings have important implications for the development of ASD intervention plans, as well as for increasing awareness among specialists about the importance of executive functions in school adjustment and social functioning.

Higher level domain specific skills in mathematics; The relationship between algebra, geometry, executive function skills and mathematics achievement

Algebra and geometry are important components of mathematics that are often considered gatekeepers for future success. However, most studies that have researched the cognitive skills required for success in mathematics have only considered the domain of arithmetic. We extended models of mathematical skills to consider how executive function skills play both a direct role in secondary-school-level mathematical achievement as well as an indirect role via algebra and geometry, alongside arithmetic. We found that verbal and visuospatial working memory were indirectly associated with mathematical achievement via number fact knowledge, calculation skills, algebra and geometry. Inhibition was also indirectly associated with mathematical achievement via number fact knowledge and calculation skills. These findings highlight that there are multiple mechanisms by which executive function skills may be involved in mathematics outcomes. Therefore, using specific measures of mathematical processes as well as context-rich assessments of mathematical achievement is important to understand these mechanisms.

The role of executive function abilities in interleaved vs. blocked learning of science concepts

This study investigated the relative efficacy of interleaved versus blocked instruction and the role of executive function in governing learning from these instructional sequences. Eighth grade students learned about three rock concepts (igneous, sedimentary, metamorphic) and their attributes (origin, texture, composition). Consistent with prior studies and as predicted by current theoretical accounts, students who received interleaved instruction showed better memory (i.e., accuracy on true-false questions) when tested 2 weeks later, whereas those who received blocked instruction showed better memory when tested on the same day as instruction. Also consistent with prior studies and theoretical accounts, the blocked group showed greater transfer when tested after a retention interval, although this advantage was not significant. Critically, and as predicted, the shifting and inhibition executive function abilities were more predictive of learning from interleaved vs. blocked instruction. These findings lay the groundwork for future studies investigating the role of executive function in learning from different forms of instruction.

Attending to what's important: what heat maps may reveal about attention, inhibitory control, and fraction arithmetic performance

Math proficiency is an important predictor of educational attainment and life success. However, developing mathematical competency is challenging, and some content (e.g., fractions) can be enigmatic. Numerous factors are suspected to influence math performance, including strategy knowledge, attention, and executive functions. In two online studies, we investigated the relationship between adults' fraction arithmetic performance, confidence judgments, inhibitory control (a component of executive functions), and attention to strategy-relevant fraction components. We explored the utility of heat maps (based on mouse clicks) to measure adults' attention to strategy-relevant fraction arithmetic components (operationalized according to each mathematical operation). In Study 1, attending to strategy-relevant fraction components was correlated with inhibitory control, but this finding did not replicate in Study 2. Across both studies, inhibitory control and attention to strategy-relevant fraction components were correlated with arithmetic accuracy. Intraindividual variability in participants' attention to strategy-relevant fraction components was also found. Our findings suggest that heat map questions may be a viable alternative to assess participants' attention during fraction tasks and that attention to specific fraction-arithmetic problem features is related to problem-solving accuracy.

Are active school transport and leisure-time physical activity associated with performance and wellbeing at secondary school? A population-based study

BACKGROUND

Physically active pupils may be better and more resilient learners. However, it is unclear whether walking or cycling to school yields similar educational and school-related mental health benefits as leisure-time physical activity. We examined the associations of active school transport and leisure-time moderate-to-vigorous physical activity with perceived academic performance, competency in academic skills, school burnout and school enjoyment.

METHODS

We included 34 103 Finnish adolescents (mean age 15.4 years; 53% girls) from the 2015 School Health Promotion study cohort. For the analyses, we used logistic regression, adjusting for major sociodemographic, environmental, lifestyle and physical activity covariates.

RESULTS

Active school transport was positively associated with educational outcomes and school enjoyment, but not with school burnout. For example, compared with non-active transport, 10-30 min of daily active school transport was linked to 30% [odds ratio (OR) 1.30, 95% confidence interval (CI) 1.21-1.40] and 17% (OR 1.17, 95% CI 1.08-1.27) higher odds of high perceived academic performance and high reading competency, respectively. Leisure-time physical activity was robustly associated with all outcomes. For example, compared with the inactive, the most physically active adolescents had 86% higher odds of high perceived academic performance (OR 1.86, 95% CI 1.66-2.08), 57% higher odds of high competency in mathematics (OR 1.57, 95% CI 1.39-1.77) and 40% lower odds of school burnout (OR 0.60, 95% CI 0.52-0.69).

CONCLUSIONS

Compared with active school transport, leisure-time physical activity was more strongly associated with educational and school-related mental health outcomes. Nevertheless, walking or cycling to school might lead to improvements in classroom performance and school enjoyment.

Do Performance-Based Measures and Behavioral Ratings of Executive Functioning Complement Each Other in Predicting Reading and Mathematics in Chinese?

We examined what executive functioning (EF) components predict reading and mathematics within the same study and whether the effects of behavioral ratings of EF overlap or complement those of performance-based measures. One hundred and nine Grade 2 Mandarin-speaking Chinese students from Chengdu, China (55 girls, 54 boys, Mage = 8.15 years), were assessed on measures of EF (planning, inhibition, shifting, and working memory), speed of processing, reading and mathematics. Parents also rated their children's EF skills using the Childhood Executive Functioning Inventory. Results of hierarchical regression analyses showed that only working memory among the performance-based EF measures predicted reading and mathematics. In addition, none of the behavioral ratings of EF made a significant contribution to reading and mathematics after controlling for mother's education and speed of processing. Taken together, these findings suggest that working memory is a domain general predictor of academic achievement, but only when measured with cognitive tasks.

The Longitudinal Contributions of Preschool Executive Functions and Early Math Abilities to Arithmetic Skills in Elementary School

Executive functions (EFs) are linked to children's overall math performance, although few studies have considered the joint role of prior math abilities for specific math subskills, such as arithmetic. The current study examined the longitudinal contributions of preschool EFs and early math abilities to children's accuracy and reaction time on arithmetic problems. Two hundred and eighty-three children completed EF and numeracy assessments at 5.25 years old. Children completed an arithmetic problem task in first (Mage = 7.14), second (Mage = 8.09), and third grade (Mage = 9.08). Results indicated that preschool EFs and math abilities are uniquely linked to children's accuracy and reaction time at age 7, whereas preschool EFs alone continue to predict accuracy at age 8 and reaction time at age 9, even after accounting for intervening arithmetic performance. The study highlights the sustained, unique importance of early EFs for children's arithmetic acquisition.

Lateralization of the cerebral network of inhibition in children before and after cognitive training

Inhibitory control (IC) plays a critical role in cognitive and socio-emotional development. IC relies on a lateralized cortico-subcortical brain network including the inferior frontal cortex, anterior parts of insula, anterior cingulate cortex, caudate nucleus and putamen. Brain asymmetries play a critical role for IC efficiency. In parallel to age-related changes, IC can be improved following training. The aim of this study was to (1) assess the lateralization of IC network in children (N = 60, 9-10 y.o.) and (2) examine possible changes in neural asymmetry of this network from anatomical (structural MRI) and functional (resting-state fMRI) levels after 5-week computerized IC vs. active control (AC) training. We observed that IC training, but not AC training, led to a leftward lateralization of the putamen anatomy, similarly to what is observed in adults, supporting that training could accelerate the maturation of this structure.

How Do Executive Functions Influence Children's Reasoning About Counterintuitive Concepts in Mathematics and Science?

Many scientific and mathematical concepts are counterintuitive because they conflict with misleading perceptual cues or incorrect naive theories that we build from our everyday experiences of the world. Executive functions (EFs) influence mathematics and science achievement, and inhibitory control (IC), in particular, might facilitate counterintuitive reasoning. Stop & Think (S&T) is a computerised learning activity that trains IC skills. It has been found effective in improving primary children's mathematics and science academic performance in a large scale RCT trial (Palak et al., 2019; Wilkinson et al., Journal of Cognitive Enhancement, 4, 296-314, 2020). The current study aimed to investigate the role of EFs and the moderating effects of S&T training on counterintuitive mathematics and science reasoning. A sample of 372 children in school Years 3 (7- to 8-year-olds) and 5 (9- to 10-year-olds) were allocated to S&T, active control or teaching as usual conditions, and completed tasks assessing verbal and visuospatial working memory (WM), IC, IQ, and counterintuitive reasoning, before and after training. Cross-sectional associations between counterintuitive reasoning and EF were found in Year 5 children, with evidence of a specific role of verbal WM. The intervention benefited counterintuitive reasoning in Year 3 children only and EF measures were not found to predict which children would most benefit from the intervention. Combined with previous research, these results suggest that individual differences in EF play a lesser role in counterintuitive reasoning in younger children, while older children show a greater association between EFs and counterintuitive reasoning and are able to apply the strategies developed during the S&T training to mathematics and science subjects. This work contributes to understanding why specifically the S&T intervention is effective. This work was preregistered with the ISRCTN registry (TRN: 54726482) on 10/10/2017.

Supplementary Information

The online version contains supplementary material available at 10.1007/s41465-023-00271-0.

Attentional Strategies and the Transition From Subitizing to Estimation in Numerosity Perception

The common view of the transition between subitizing and numerosity estimation regimes is that there is a hard bound on the subitizing range, and beyond this range, people estimate. However, this view does not adequately address the behavioral signatures of enumeration under conditions of attentional load or in the immediate post-subitizing range. The possibility that there might exist a numerosity range where both processes of subitizing and estimation operate in conjunction has so far been ignored. Here, we investigate this new proposal, that people strategically combine the processes of subitizing and estimation to maximize accuracy and precision, given time or attentional constraints. We present a process-level account of how subitizing and estimation can be combined through strategic deployment of attention to maximize the precision of perceived numerosity given time constraints. We then describe a computational model of this account and apply it in two experimental simulations to demonstrate how it can explain key findings in prior enumeration research. While recent modeling work has argued that the behavioral signatures of enumeration can best be explained through a single numerosity system with a single form of representation, we argue that our model demonstrates how the traditional two-systems view of numerical representation accounts for behavioral data through coordination with a unified attentional mechanism, rather than a unified representation.

Executive Functions Training for 7- to 10-Year-Old Students With Mathematics Difficulty: Instant Effects and 6-Month Sustained Effects

Executive function (EF) training has shown promise for remedying general EF deficiencies faced by students with mathematics difficulty (MD) and for improving their performance. However, latest research also suggests that the instant and sustained effects of EF training remain inconsistent. In this study, 32 Chinese students with MD, age 7 to 10 years, were recruited and randomly divided into two groups: the training group (n = 16, 25 training sessions) and the control group (n = 16). Both groups took a pretest, a posttest, and a follow-up test (after 6 months) on EF, fluid intelligence, and mathematics skills. In the posttest, the training group's performance significantly improved in 2-back, number shifting, letter shifting, calculation fluency, and mathematics problem-solving tasks, but not in Stroop, Flanker, 1-back, numerical operations, and colored progressive matrices tasks. In the follow-up test after 6 months, the effects of training only on the 2-back and letter shifting tasks were sustained. The effect on the numerical operations task appeared; however, the effects on number shifting, calculation fluency, and mathematics problem-solving tasks disappeared. The results of this study show that EF training has instant effects of improving EF and mathematics skills of students with MD, and 6-month sustained effects on some of the improved skills. However, for fluid intelligence, the effects may be very limited.

Math abilities in autism spectrum disorder: A meta-analysis

BACKGROUND

Studies focusing on math abilities in autism spectrum disorder (ASD) are limited and often provide inconsistent results.

AIM

This meta-analysis was conducted to investigate math abilities in people with autism spectrum disorder (ASD) compared to typically developing (TD) participants.

METHODS AND PROCEDURES

According with PRISMA guidelines, a systematic search strategy was adopted. First, 4405 records were identified through database searching; then, the title-abstract screening led to the identification of 58 potentially relevant studies and, finally, after the full-text screening, 13 studies were included.

OUTCOMES AND RESULTS

Results shows that the group with ASD (n = 533) performed lower than the TD group (n = 525) with a small-to-medium effect (g=0.49). The effect size was not moderated by task-related characteristics. Instead, sample-related characteristics, specifically age, verbal intellectual functioning, and working memory, were significant moderators.

CONCLUSIONS AND IMPLICATIONS

This meta-analysis shows that people with ASD have poorer math skills than their TD peers, suggesting the importance of investigating math abilities in autism, taking into account the role of moderating variables.

The mediating role of neurocognitive functions in the relation between physical competencies and academic achievement of primary school children

Previous studies into associations between physical, neurocognitive and academic skills have reported inconsistent results. This study aimed to get more insight into these relations by examining all three domains simultaneously, testing a complete mediational model including measures of physical competencies (cardiovascular fitness and motor skills), neurocognitive skills (attention, information processing, and core executive functions), and academic achievement (reading, mathematics, and spelling). Dutch primary school students (n = 891, 440 boys, mean age 9.17 years) were assessed on the Shuttle Run Test (cardiovascular fitness), items of the Körperkoordinationstest für Kinder and Bruininks-Oseretsky Test-II (fundamental motor skills), computerized neurocognitive tests, and standardized academic achievement tests. A multilevel structural equation model showed that physical competencies were only indirectly related to academic achievement, via specific neurocognitive functions depending on the academic domain involved. Results provide important implications, highlighting the importance of well-developed physical competencies in children.

Electrophysiological Correlates of the Interaction of Physical and Numerical Size in Symbolic Number Processing: Insights from a Novel Go/Nogo Numerical Stroop Task

The interaction of physical and numerical size has been investigated and repeatedly demonstrated in the numerical Stroop task, in which participants compare digits of different physical sizes. It is, however, not entirely clear yet what psychological processes contribute to this interaction. The aim of the present study is to investigate the role of inhibition in the interaction of physical and numerical size, by introducing a novel paradigm that is suitable to elicit inhibition-related event-related potential components. To this end, we combined the go/nogo paradigm with the numerical Stroop task while measuring EEG and reaction times. Participants were presented with Arabic number pairs and had to press a button if the number on one side was numerically larger and they had to refrain from responding if the number on the other side was numerically larger. The physical size of the number pairs was also manipulated, in order to create congruent, neutral, and incongruent trials. Behavioural results confirmed the well-established numerical distance and numerical Stroop effects. Analysis of electrophysiological data revealed the classical go/nogo electrophysiological effects with numerical stimuli, and showed that peak amplitudes were larger for nogo than for go trials on the N2, as well as on the P3 component, on frontal and midline electrodes. When analysing the congruency effects, the peak amplitude of N2 was larger in incongruent trials than in neutral and congruent trials, while there was no evidence of a congruency effect on the P3 component peaks. Further analysis of the electrophysiological data revealed an additional facilitatory effect in the go trials, as well as an additional interference effect in the nogo trials. Taken together, it seems that interference effects are probably resolved by inhibitory processes and that facilitatory effects are affected by different cognitive control processes required by go versus nogo trials.

The role of social and intellectual activity participation in older adults' cognitive function

THEORETICAL BACKGROUND

A challenge of the ageing of the population is cognitive performance, given its association to optimal ageing. Documented predictors of cognition have included socio-demographics, education or physical factors. However, the association of social and intellectual activity participation to cognition has been less studied.

AIM

This study presents a predictive model of cognitive functioning including these alternative factors as well as more seminal ones to explain cognition in old age.

MATERIALS AND METHODS

The sample was composed by 45475 older adult participants in the 8th Wave of the Survey of Health, Aging and Retirement in Europe, that took place between 2019 and 2020. A correlational design was specified to test the effects of age, gender, years of education, physical inactivity, number of chronic diseases, social activity participation and intellectual activity participation on temporal orientation, numeracy, verbal fluency and memory. A completely a priori Structural Equation Model with latent variables was tested.

RESULTS

The sample had an average of 70 years of age, was well-educated and physically active and engaged in reading. There was a higher proportion of females. The model showed an optimal fit to the data, explaining 8.7%-36.0% of the different cognitive components' variance. Age, years of education and intellectual activity displayed the largest effects across the cognitive domains.

CONCLUSIONS

Findings suggest that social and intellectual activity participation are of relative importance to predict cognition in old age, even when considering other well-documented factors affecting older adults' cognitive functioning.

Characterizing different cognitive and neurobiological profiles in a community sample of children using a non-parametric approach: An fMRI study

Executive Functions (EF) is an umbrella term for a set of mental processes geared towards goal-directed behavior supporting academic skills such as reading abilities. One of the brain's functional networks implicated in EF is the Default Mode Network (DMN). The current study uses measures of inhibitory control, a main sub-function of EF, to create cognitive and neurobiological "inhibitory control profiles" and relate them to reading abilities in a large sample (N = 5055) of adolescents aged 9-10 from the Adolescent Brain Cognitive Development (ABCD) study. Using a Latent Profile Analysis (LPA) approach, data related to inhibitory control was divided into four inhibition classes. For each class, functional connectivity within the DMN was calculated from resting-state data, using a non-parametric algorithm for detecting group similarities. These inhibitory control profiles were then related to reading abilities. The four inhibitory control groups showed significantly different reading abilities, with neurobiologically different DMN segregation profiles for each class versus controls. The current study demonstrates that a community sample of children is not entirely homogeneous and is composed of different subgroups that can be differentiated both behaviorally/cognitively and neurobiologically, by focusing on inhibitory control and the DMN. Educational implications relating these results to reading abilities are noted.

Executive function and mathematics in preschool children: Training and transfer effects

Identifying the underpinnings of mathematics proficiency is relevant for all societies. A growing literature supports a relation between executive function (EF) and mathematics across a wide age range, but causal links are not well understood. In the current study, typically developing preschool children (N = 104) were randomly assigned to one of four training conditions: EF, Number, EF + Number, or an active Control. They participated in three brief training sessions and pretest and posttest sessions measuring EF and mathematics skills. EF training improved EF skills on a task similar to the training but did not extend to an untrained EF task. In addition, the EF training improved number skills but not general mathematics skills. The EF + Number training improved number and general mathematics skills but not EF skills. The EF + Number training did not yield significantly greater benefits for EF and mathematics beyond other training conditions. Finally, differential training effects emerged, such that children with lower pretest EF skills had greater EF benefits on only the trained EF skill. In addition, children from lower versus higher socioeconomic households had greater gains in numerical skills following EF training. No training condition improved verbal knowledge, suggesting that results were specific to the targeted skills. These results extend prior findings on the effectiveness of improving EF and mathematical skills through short-term trainings during early childhood.

Exploring effects of an early math intervention: The importance of parent-child interaction

We explore whether training parents' math skills or playing number games improves children's mathematical skills. Participants were 162 parent-child dyads; 88.3% were white and children (79 female) were 4 years (M = 46.88 months). Dyads were assigned to a number game, shape game, parent-only approximate number system training, parent-only general trivia, or a no-training control condition and asked to play twice weekly for 8 weeks. Children in the number game condition gained over 15% SD on an assessment of mathematical skill than did those in the no-training control. After 8 additional weeks without training, effects diminished; however, children of parents in the ANS condition underperformed those in the no-treatment control, which was partially explained by changes in the home numeracy environment.

The role of executive function in shaping the longitudinal stability of math achievement during early elementary grades

There is substantial rank-order stability in children's mathematical skills throughout development. Research has shown that children who enter school with relatively low math skills are unlikely to catch up to peers who begin kindergarten with more developed math skills. Emerging evidence suggests that children's executive function skills might play an important role in shaping the rate and stability of mathematical skill development during early development. Therefore in the present study, we used data from the Early Childhood Longitudinal Study-Kindergarten Cohort 2010-11-a prospective sample of over 18,000 children in the United States-to examine executive function as an antecedent to characteristics of growth in math skills and to test whether executive function moderates the longitudinal stability of math achievement from kindergarten through second grade. Latent growth curve models reveal that executive function is related to not only the level of math skills at school entry but also to the rate of growth in early elementary years. Moreover, we found that executive function moderated the stability of math achievement from kindergarten to second grade, suggesting that early executive function skills can serve as a compensatory mechanism for children who enter school with lower levels of mathematical skills. These findings might have important implications for narrowing gaps in math achievement during early elementary school.