A structural equation modeling of executive functions,IQ and mathematical skills in primary students: Differential effects on number production,mental calculus and arithmetical problems

Though the relationship between executive functions (EFs) and mathematical skills has been well documented, little is known about how both EFs and IQ differentially support diverse math domains in primary students. Inconsistency of results may be due to the statistical techniques employed, specifically, if the analysis is conducted with observed variables, i.e., regression analysis, or at the latent level, i.e., structural equation modeling (SEM). The current study explores the contribution of both EFs and IQ in mathematics through an SEM approach. A total of 118 8- to 12-year-olds were administered measures of EFs, crystallized (Gc) and fluid (Gf) intelligence, and math abilities (i.e., number production, mental calculus and arithmetical problem-solving). Confirmatory factor analysis (CFA) offered support for the three-factor solution of EFs: (1) working memory (WM), (2) shifting, and (3) inhibition. Regarding the relationship among EFs, IQ and math abilities, the results of the SEM analysis showed that (i) WM and age predict number production and mental calculus, and (ii) shifting and sex predict arithmetical problem-solving. In all of the SEM models, EFs partially or totally mediated the relationship between IQ, age and math achievement. These results suggest that EFs differentially supports math abilities in primary-school children and is a more significant predictor of math achievement than IQ level.     

Investigating the links between the subcomponents of executive function and academic achievement: a cross-cultural analysis of Chinese and American preschoolers

Little is known about how components of executive function (EF) jointly and uniquely predict different aspects of academic achievement and how this may vary across cultural contexts. In the current study, 119 Chinese and 139 American preschoolers were tested on a battery of EF tasks (i.e., inhibition, working memory, and attentional control) as well as academic achievement tasks (i.e., reading and mathematics). Results demonstrate that although working memory performance in both cultures was comparable, Chinese children outperformed American children on inhibition and attentional control tasks. In addition, the relation between components of EF and achievement was similar in the two countries. Working memory uniquely predicted academic achievement, with some intriguing patterns in regard to tasks requiring complex processing. Inhibition uniquely predicted counting but did not uniquely predict calculation. Attentional control predicted most aspects of achievement uniformly and was the most robust predictor for reading in both countries. In sum, the data provide insight into both cultural variability and consistency in the development of EF during early childhood.     

Cognitive and behavioral rating measures of executive function as predictors of academic outcomes in children

Interrelations of two measurement methods (cognitive versus behavioral ratings) for executive function (EF) were examined and related to reading comprehension and math calculations in fourth and fifth grade students (n = 93) in the context of a diverse urban student population. Relations among measures within four EF processes (working memory, planning, inhibition and shifting) were modest; relations to academics were stronger. EF measures contributed to both academic outcomes even in the context of relevant covariates (age, language and educational program). Working memory was particularly important for reading comprehension across measurement type. Cognitive measures from all EF processes, particularly inhibition and planning, and behavioral ratings of working memory were important for math.     

The role of executive function in reading comprehension among beginning readers

Empirical evidence supports the importance of executive function (EF) in reading, but the underlying mechanism through which EF contributes to the reading process is unclear. The present study examined the direct and indirect effects of EF on reading comprehension through the indirect pathway of language and cognitive skills (i.e., syntactic awareness and text-connecting inferencing) among the beginning readers. The sample included one hundred and sixty-five 2^nd and 3^rd grade students. The participants were tested on working memory (visuospatial working memory and verbal working memory) and inhibition (prepotent response inhibition and cognitive inhibition), and their syntactic awareness, inference-making, and reading comprehension. The unitary EF construct was obtained by means of confirmatory factor analysis based on the structure of EF in middle childhood suggested in developmental studies. Structural equation modelling was used to examine the direct and indirect effects of EF on the reading outcome. The findings indicated that EF has a direct effect on reading comprehension among the beginning readers. The indirect pathway showed that EF supports the ability to evaluate on grammatical structure of sentences (i.e., syntactic awareness) during reading. However, the indirect effect of EF on reading via inference-making ability is insignificant. The findings highlight the contributions of EF to reading and provide empirical evidence to the hypothetical relation between EF and language skills suggested in DIER (Kim, 2020, Resarch Quarterly, 50, 459). It further extends our knowledge on the roles of EF in the reading process among the beginning readers. Future research directions are implicated as well.     

Complementary assessments of executive function in preterm and full-term preschoolers

Executive functions (EFs) are interrelated cognitive processes that have been studied in relation to behavior, attention, academic achievement, and developmental disorders. Studies of EF skills assessed through parent report and performance-based measures show correlations between them ranging from none to modest. Few studies have examined the relationship between EF skills measured through parent report and performance-based measures in relation to adaptive function. The present study included preschool children born preterm as a population at high risk for EF impairments. Preschool children (N = 149) completed a battery of EF tasks that assess working memory, response inhibition, idea generation, and attention shifting or cognitive flexibility. Parents reported on children’s EF and adaptive skills. Preterm children showed more parent-rated and performance-based EF impairments than did full-term children. The combined use of either parent report or performance-based measures resulted in the identification of a large number of children at risk for EF impairment, especially in the preterm group. Both parent report and performance-based EF measures were associated with children’s adaptive function. EF skills are measurable in young child'ren, and we suggest that EF skills may serve as targets for intervention to improve functional outcomes. We recommend the use of both parent report and performance-based measures to characterize children’s EF profiles and to customize treatment.     

Domain‐specific and domain‐general precursors of mathematical achievement: A longitudinal study from kindergarten to first grade

Background. Many contributing factors, both domain specific and domain general, influence children's performance in school achievement. Aims. This research aims to verify the importance of kindergarten measures of cognitive abilities and numerical competence in the role of predicting mathematical school achievement at the end of first grade. Sample and Methods. A total of 70 children (38 females and 32 males) took part in the study. We tested the children at the beginning of their last year of kindergarten (time 1) on the following cognitive abilities: IQ, phonology, counting skills, verbal short‐term memory, visuo‐spatial short‐term memory, working memory, and processing speed. Then, we tested the same children at end of their last year of kindergarten (time 2) on a measure of numerical competence and at the end of their first year of primary school (time 3) on a test of math achievement. Results. Path analysis models revealed the direct influence of working memory and processing speed on predicting numerical competence in pre‐schoolers and the influence of processing speed and verbal IQ on predicting math achievement in first graders. Moreover, this study found a direct link between numerical competence and math achievement. Conclusions. Both domain‐specific and domain‐general factors contribute to determining math achievement at the end of first grade.     

Social information processing skills link executive functions to aggression in adolescents with mild to borderline intellectual disability

Executive Functions (EFs) have been associated with aggression in children and adolescents. EFs as higher-order cognitive abilities are assumed to affect cognitive functions such as Social Information Processing (SIP). We explored SIP skills as a mediating mechanism linking EFs to aggression in adolescents with mild to borderline intellectual disability (MBID with IQ from 50–84), a high risk group for aggressive behaviors and EF impairments. A total of 153 adolescents (M_age = 15.24, SD = 1.35; 54% male) with MBID participated. Focused attention, behavioral inhibition, and working memory were tested with multiple neurocognitive tasks to define latent EF constructs. Participants responded to a video-based SIP task. A latent construct for aggression was defined by caretaker, teacher, and adolescent self-reports of aggression (Child Behavior Check List, Teacher Report Form, and Youth Self Report). Structural equation modeling was performed to test mediation. Results were consistent with mediation of the relation between focused attention and aggression by SIP, namely via hostile interpretations and self-efficacy for aggression. Behavioral inhibition was linked to aggression, but this relation was not mediated by SIP. The relation between working memory and aggression was mediated by SIP, namely via hostile interpretations, aggressive response generation and via self-efficacy for aggressive responses. Bearing the cross-sectional design in mind, support was found for SIP skills as a mechanism linking EFs, in particular focused attention and working memory, to aggression, providing a viable explanation for the high vulnerability of adolescents with MBID for aggression.     

Working memory and phonological awareness as predictors of progress towards early learning goals at school entry

This study investigates whether working memory skills of children are related to teacher ratings of their progress towards learning goals at the time of school entry, at 4 or 5 years of age. A sample of 194 children was tested on measures of working memory, phonological awareness, and non‐verbal ability, in addition to the school‐based baseline assessments in the areas of reading, writing, mathematics, speaking and listening, and personal and social development. Various aspects of cognitive functioning formed unique associations with baseline assessments; for example complex memory span with rated writing skills, phonological short‐term memory with both reading and speaking and listening skills, and sentence repetition scores with both mathematics and personal and social skills. Rated reading skills were also uniquely associated with phonological awareness scores. The findings indicate that the capacity to store and process material over short periods of time, referred to as working memory, and also the awareness of phonological structure, may play a crucial role in key learning areas for children at the beginning of formal education.     

The Role of Executive Function in Arithmetic Problem-Solving Processes: A Study of Third Graders

This study investigated the roles of different executive function (EF) components (inhibition, shifting, and working memory) in 2-step arithmetic word problem solving. A sample of 139 children aged 8 years old and regularly attending the 3rd grade of primary school were tested on 6 EF tasks measuring different EF components, a reading task and a reading comprehension task, an arithmetic facts task evaluating basic knowledge of calculation, and three 2-step arithmetic word problems. Multiple hierarchical regression analyses were conducted to investigate the roles of the different EF components in the various phases of the problem-solving process. The results showed that EF affects the various phases of problem solving differently over and above calculation knowledge and reading abilities. The implications of these findings are discussed in relation to further understanding the role of cognitive skills in mathematical problem solving and in relation to instructional approaches that may increase children’s performance on 2-step arithmetic word problems.     

The contribution of executive function and social understanding to preschoolers’ letter and math skills

The influence of executive function and social understanding on letter and math skills was examined in 129 3–5-year-olds. Tasks were administered to measure working memory, inhibition, social understanding, letter and math skills, and vocabulary. Using latent variable analyses, multiple models were compared in order to examine the influence of executive function and social understanding on participants’ emerging academic skills. In the best-fitting model, working memory contributed to letter and math skills, over and above inhibition, social understanding, age, and vocabulary. Inhibition and social understanding did not uniquely contribute to letter and math skills, but significant relations were found among working memory, inhibition, and social understanding. Findings are discussed with respect to improving ways to examine the complex relations among preschoolers’ executive function, social understanding, and school readiness skills.     

“热”执行对注意缺陷多动障碍和阅读障碍儿童言语工作记忆的影响

ADHD儿童在与背外侧前额叶(DLPFC)相关的"冷"执行功能上的缺陷已大量证实,但在与眼眶和中前额叶皮层(OMPFC)相关的"热"执行功能上,ADHD儿童是否存在缺陷则未可知。与儿童赌博任务实验范式(该任务中"热"启动对"冷"执行起到抑制作用)不同,本研究考察趣味言语N-back任务是否对ADHD和阅读障碍儿童的成绩有促进作用。枯燥N-back任务考察的是言语工作记忆的纯认知特征,而趣味任务则卷入了"热"执行对"冷"执行的影响。结果表明,在枯燥任务上,ADHD和阅读障碍儿童的成绩均明显低于正常儿童,二者之间差异不显著,在趣味任务成绩上,ADHD儿童与正常儿童的成绩没有显著差异,而阅读障碍儿童成绩落后于正常控制组和ADHD组,在成绩变化的趋势上,ADHD儿童在趣味任务上成绩明显提高,而阅读障碍儿童则无明显改善。结果说明ADHD和阅读障碍儿童的言语工作记忆均存在明显的缺陷,但是机制不同,"热"执行对提高ADHD的言语工作记忆有明显的促进作用,ADHD的"冷"执行缺陷能够通过"热"执行的调节得到改善。     

School readiness and later achievement

Using 6 longitudinal data sets, the authors estimate links between three key elements of school readiness--school-entry academic, attention, and socioemotional skills--and later school reading and math achievement. In an effort to isolate the effects of these school-entry skills, the authors ensured that most of their regression models control for cognitive, attention, and socioemotional skills measured prior to school entry, as well as a host of family background measures. Across all 6 studies, the strongest predictors of later achievement are school-entry math, reading, and attention skills. A meta-analysis of the results shows that early math skills have the greatest predictive power, followed by reading and then attention skills. By contrast, measures of socioemotional behaviors, including internalizing and externalizing problems and social skills, were generally insignificant predictors of later academic performance, even among children with relatively high levels of problem behavior. Patterns of association were similar for boys and girls and for children from high and low socioeconomic backgrounds.     

Building Links Between Early Socioeconomic Status,Cognitive Ability,and Math and Science Achievement

The present study examined whether and how socioeconomic status (SES) predicts school achievement in science, technology, engineering, and math (STEM) using structural equation modeling and data from the National Institute of Child Health and Human Development Study of Child Care and Youth Development. The present inquiry addresses gaps in previous research linking SES and STEM achievement in high school. Results indicate that maternal education predicts the child’s early environment, which itself predicts the development of executive function (EF) and language, and thereby, STEM achievement. Moreover, children’s language ability and EF development influenced higher-order cognitive skills, such as relational reasoning, planning, and basic calculation skills. However, only relational reasoning strongly predicted high school math and science achievement, suggesting that relational reasoning, but not planning and calculation skills, was central to STEM thinking and learning.     

Executive functions,math anxiety and math performance in middle school students

Previous studies mainly investigated working memory (WM) and math anxiety (MA) leaving almost unexplored other aspects of executive functions (EFs) in middle school period. Filling the gap in the literature, the aims of this study were: (1) to better examine the relationship between MA and math performance, (2) to better examine the relationship between EFs and math performance and (3) to investigate the interplay between EFs and MA on math performances. This study confirmed a significant and negative relationship between MA and math performance, indicates a significant and positive relationship between visuospatial WM and math performance, shifting and math performance and highlight a scarcely investigated indirect influence of MA through the measure of shifting on math performance. Our findings shed further light on the mediating role of EFs between MA and math performance and underline some future perspectives.     

The role of planning in different mathematical skills

Despite the fact that planning has been found to be a significant predictor of reading (particularly of reading comprehension), much less is known about its contribution to mathematics. The purpose of this study was to examine the role of two levels of planning (operation planning and action planning) in three mathematical skills (calculation fluency, math problem-solving, and math reasoning). Eighty Grade 2 children from Shanghai, China were assessed on measures of nonverbal cognitive ability (nonverbal matrices), working memory (digit span backwards and N-back), operation planning (matching numbers, planned codes, and planned search), action planning (crack the code), and mathematics (calculation fluency, math problem-solving, and math reasoning). The results of regression analyses showed that both levels of planning accounted for unique variance in mathematics over and above the effects of nonverbal cognitive ability and working memory. The effects of action planning were particularly strong in math problem-solving. These findings suggest that measures of planning could be used along with measures of working memory to detect children at-risk for mathematics disabilities and that intervention programmes targeting planning could be developed to boost children's mathematics performance.     

The trajectory of mathematics skills and working memory thresholds in girls with fragile X syndrome

Fragile X syndrome is a common genetic disorder associated with executive function deficits and poor mathematics achievement. In the present study, we examined changes in math performance during the elementary and middle school years in girls with fragile X syndrome, changes in the working memory loads under which children could complete a cognitive switching task, and the association between these two areas of function, in girls with fragile X syndrome relative to their peers. Our findings indicate that the trajectory of math and executive function skills of girls with fragile X differs from that of their peers and that these skills contribute to predicting math achievement and growth in math performance over time. Also, changes in math performance were associated with incremental increases in working memory demands, suggesting that girls with fragile X have a lower threshold for being able to perform under increasing task demands. Still, we found improvement in executive function performance between 10 and 12 years in girls with fragile X rather than a performance plateau as has been reported in other studies. The findings implicate the importance of early intervention in mathematics for girls with fragile X that addresses poor calculation skills, the supporting numerical skills, and deficits in executive functions, including working memory.     

Mothers' and fathers' support for child autonomy and early school achievement

Data were analyzed from 641 children and their families in the National Institute of Child Health and Human Development Study of Early Child Care and Youth Development to test the hypotheses that in the early school years, mothers' and fathers' sensitive support for autonomy in observed parent-child interactions would each make unique predictions to children's reading and math achievement at Grade 3 (controlling for demographic variables), children's reading and math abilities at 54 months, and children's level of effortful control at 54 months and that these associations would be mediated by the level of and changes over time in children's observed self-reliance in the classroom from Grades 1 through 3. The authors found that mothers' and fathers' support for autonomy were significantly and uniquely associated with children's Grade 3 reading and math achievement with the above controls, but only for boys. For boys, the effect of mothers' support for child autonomy was mediated by higher self-reliance at Grade 1 and of fathers' support for child autonomy by greater increases in self-reliance from Grades 1 through 3.     

The effect of persistent posttraumatic stress disorder symptoms on executive functions in preadolescent children witnessing a single incident of death

We compared executive functions (EFs) of traumatized preadolescent children with and without marked posttraumatic stress disorder (PTSD) symptoms to the performance of a nontraumatized control group, and examined the relationships between EF deficits and functional status in traumatized preadolescent children. Fifty-one preadolescent children who had witnessed a death at school 30 months prior (26 with marked PTSD symptoms and 25 without) and 30 healthy controls who had not been traumatized participated. EFs were examined using the Comprehensive Attention Test (CAT). The functional state of traumatized children was measured by the Parent Report Form-Children's Health and Illness Profile-Children's Edition (PRF-CHIP-CE). The traumatized children, regardless of status of PTSD symptomatology, showed poorer working memory performance than nontraumatized healthy controls. The traumatized children with marked PTSD symptoms performed more poorly on measures of interference control compared to those children without marked PTSD symptoms. Lower levels of EFs were associated with lower risk avoidance and diminished academic achievement in traumatized children. These results indicate that an inhibitory control deficit is specifically associated with the current PTSD symptoms but not with trauma exposure per se.     

Development of phonological and orthographic processing in reading aloud,in silent reading,and in spelling: a four-year longitudinal study

The development of phonological and orthographic processing was studied from the middle of Grade 1 to the end of Grade 4 (age 6; 6-10 years) using the effects of regularity and of lexicality in reading aloud and in spelling tasks, and using the effect of pseudohomophony in a silent reading task. In all the tasks, signs of reliance on phonological processing were found even when indicators of reliance on orthographic processing appeared. Multiple regression analyses were conducted to determine which early skills predict later reading achievement. Pseudoword and irregular word scores were used as measures for phonological and orthographic skills, respectively. Only middle of Grade 1 phonological reading skills accounted for independent variance in end of Grade 4 orthographic skills. Conversely, from the middle to the end of Grade 1, and from the end of Grade 1 to the end of Grade 4, both orthographic and phonological skills accounted for independent variance in later orthographic skills. In the prediction of phonological skills, only the unique contribution of earlier phonological skills was significant. Thus, phonological and orthographic processing appear to be reciprocally related, rather than independent components of written word recognition. However, very early reliance on the phonological procedure seems to be the bootstrapping mechanism for reading acquisition.     

Interpersonal Violence,Depression, and Executive Function

This study considers links between the number of types of violence to which women have been exposed, depression, and executive functions (EFs). Substantial research has established EF deficits among depressed individuals as well as individuals exposed to trauma. Studies have also indicated a relationship between trauma exposure and depressive symptoms across a range of traumatic events, such as combat exposure, motor vehicle accidents, natural disasters, and assaults. This study examines this relationship in an ethnically diverse community sample of 93 women exposed to interpersonal violence who completed a battery of EF tasks that assessed processing speed, working memory, response inhibition, and set shifting. Women reported an average of 5.8 types of interpersonal violence events. The number of types of interpersonal violence events was significantly related to depressive symptoms, although not EF performance. Specific EFs, such as working memory and response inhibition, were positively related to depressive symptoms.