儿童执行功能对数学能力的预测模型

使用数点数广度任务(C-span)、Stroop任务、威斯康星卡片分类任务(WCST)测查儿童的执行功能,用《小学儿童数学能力测查量表》(一年级)、《韦克斯勒儿童智力测量》分别测查儿童的数学能力和智力,对64名小学一年级儿童的执行功能(抑制、转换、刷新)和数学能力的关系进行了研究,相关分析和回归分析发现,数学能力与执行功能任务测量都有显著相关,抑制、转换和刷新都分别对数学能力存在显著回归效应;在此基础上,建立了执行功能及其对儿童数学能力的预测模型。结果表明,抑制控制、转换和刷新都能对数学能力产生直接影响,但抑制控制还通过转换和刷新对数学能力产生间接影响。说明儿童数学能力的认知差异,主要在于抑制控制能力的差异,而抑制控制的差异又导致转换和刷新能力表现的差异。     

Executive functions and achievements in school: Shifting,updating, inhibition,and working memory

Links have recently been established between measures of educational attainment and both verbal and visuo-spatial aspects of working memory. Relationships have also been identified between specific executive functions—shifting, updating, and inhibition—and scholastic achievement. In the present study, scholastic attainment, shifting, updating, inhibition, and verbal and visuo-spatial working memory were assessed in 11- and 12-year-old children. Exploratory factor analysis identified two executive factors: one associated with updating functions and one associated with inhibition. Updating abilities were closely linked with performance on both verbal and visuo-spatial working memory span tasks. Working memory was closely linked with attainment in English and mathematics, and inhibition was associated with achievement in English, mathematics, and science. Domain-specific associations existed between verbal working memory and attainment in English, and between visuo-spatial working memory and attainment in English, mathematics and science. Implications of the findings for the theoretical analysis of executive functioning, working memory and children's learning are discussed.     

Executive functions and achievements in school: Shifting, updating, inhibition, and working memory

Links have recently been established between measures of educational attainment and both verbal and visuo-spatial aspects of working memory. Relationships have also been identified between specific executive functions—shifting, updating, and inhibition—and scholastic achievement. In the present study, scholastic attainment, shifting, updating, inhibition, and verbal and visuo-spatial working memory were assessed in 11- and 12-year-old children. Exploratory factor analysis identified two executive factors: one associated with updating functions and one associated with inhibition. Updating abilities were closely linked with performance on both verbal and visuo-spatial working memory span tasks. Working memory was closely linked with attainment in English and mathematics, and inhibition was associated with achievement in English, mathematics, and science. Domain-specific associations existed between verbal working memory and attainment in English, and between visuo-spatial working memory and attainment in English, mathematics and science. Implications of the findings for the theoretical analysis of executive functioning, working memory and children's learning are discussed.     

The structure of executive functions in children: A closer examination of inhibition,shifting, and updating

An increasing number of studies has investigated the latent factor structure of executive functions. Some studies found a three‐factor structure of inhibition, shifting, and updating, but others could not replicate this finding. We assumed that the task choices and scoring methods might be responsible for these contradictory findings. Therefore, we selected tasks in which input modality was varied, controlled for baseline speed, and used both speed and accuracy scores, in order to investigate whether a three factor model with inhibition, shifting, and updating could still be replicated. In a group of 211 children, who were tested at the beginning of grade 1, at approximately 6 years of age, and again after 18 months, the best fitting model was not the three‐factor model, but instead consisted of an updating factor and a combined inhibition and shifting factor, besides two baseline speed factors (verbal and motor). We argue that these results might indicate that the structural organization of executive functions might be different in children than in adults, but that there might also be an alternative explanation: the distinction in executive functions might not accurately represent cognitive structures but instead be a methodological artefact.     

Development of Cognitive Skills in Children with Motor Coordination Impairments at 12-Month Follow-up

The current study presents a 1-year follow-up investigation of the development of executive functions (i.e., inhibition, updating, and shifting) in children with motor coordination impairments. Cognitive and motor coordination skills of children (N = 94) aged between 5 and 7 years with and without motor coordination impairments were compared. A second focus of the study was on pre-academic skills. The results indicate marked stability of motor coordination impairments and persistent executive functioning deficits in motor-impaired children. Inhibition and shifting performance was consistently lower, compared to the children without motor coordination impairments. Moreover, children with motor coordination impairments showed lower pre-academic skills, facing a substantial disadvantage at the beginning of formal schooling. The combined cognitive and motor problems may be the result of an underlying inhibition deficit or a general automation deficit. Implications for intervention are discussed.     

Executive Functions and Mental Attentional Capacity in Preschoolers

ABSTRACT

The structure of executive functions in preschoolers is controversial. Miyake and colleagues found that, in adults, inhibition, shifting, and updating are correlated but distinguishable processes; this finding was sometimes replicated with schoolchildren. Based on schoolchildren data, Im-Bolter, Johnson, and Pascual-Leone proposed a four-component model, with mental attentional capacity and inhibition as basic resources, and shifting and updating as executive processes that partly rely on those resources. Studies on preschoolers propose either a single factor or two factors. We tested 118 children (36 to 73 months old) using measures of mental attentional capacity (Mr. Cucumber, Direction Following Task, and Backward Word Span), inhibition (Bear/Dragon and Day-Night Stroop), shifting (Dimensional Change Card Sort) and updating (Magic House). Confirmatory factor analyzes showed that the best-fitting model comprises two highly correlated factors – one loading the mental attentional capacity measures, the other loading inhibition, shifting, and updating measures. Performance in inhibition, shifting, and updating tasks showed qualitative changes with increasing attentional capacity. In preschoolers, shifting and updating seem to emerge tied to inhibition – but only when sufficient capacity enables children to perform executive control tasks. This seems consistent with Im-Bolter’s et al.’s proposal of two basic resources.     

Modeling a cascade of effects: the role of speed and executive functioning in preterm/full-term differences in academic achievement

This study identified deficits in executive functioning in pre-adolescent preterms and modeled their role, along with processing speed, in explaining preterm/full-term differences in reading and mathematics. Preterms (< 1750 g) showed deficits at 11 years on a battery of tasks tapping the three basic executive functions identified by Miyake - updating/working memory, inhibition, and shifting. Confirmatory factor analysis showed that these executive functions, though correlated, were distinct from one another and from processing speed, which later proved to account for much of the intercorrelation among executive functions. In the best-fitting structural equation model, the negative effects of prematurity on achievement were completely mediated by the three executive functions and speed in a cascade of effects: prematurity → slower processing speed → poorer executive functioning (working memory) → lower achievement in math and reading.     

How do different aspects of self-regulation predict successful adaptation to school?

Self-regulation plays an important role in successful adaptation to preschool and school contexts as well as in later academic achievement. The current study relates different aspects of self-regulation such as temperamental effortful control and executive functions (updating, inhibition, and shifting) to different aspects of adaptation to school such as learning-related behavior, school grades, and performance in standardized achievement tests. The relationship between executive functions/effortful control and academic achievement has been established in previous studies; however, little is known about their unique contributions to different aspects of adaptation to school and the interplay of these factors in young school children. Results of a 1-year longitudinal study (N=459) revealed that unique contributions of effortful control (parental report) to school grades were fully mediated by children's learning-related behavior. On the other hand, the unique contributions of executive functions (performance on tasks) to school grades were only partially mediated by children's learning-related behavior. Moreover, executive functions predicted performance in standardized achievement tests exclusively, with comparable predictive power for mathematical and reading/writing skills. Controlling for fluid intelligence did not change the pattern of prediction substantially, and fluid intelligence did not explain any variance above that of the two included aspects of self-regulation. Although effortful control and executive functions were not significantly related to each other, both aspects of self-regulation were shown to be important for fostering early learning and good classroom adjustment in children around transition to school.     

Time monitoring and executive functioning in children and adults

This study examined time-based prospective memory performance in relation to individual and developmental differences in executive functioning. School-age children and young adults completed six experimental tasks that tapped three basic components of executive functioning: inhibition, updating, and mental shifting. Monitoring performance was examined in a time-based prospective memory task in which participants indicated the passing of time every 5min while watching a movie. Separate analyses of the executive functioning data yielded a two-factor solution for both age groups, with the updating and inhibition tasks constituting a common factor and the shifting tasks constituting a separate factor. Both children and adults showed accelerating monitoring functions with low rates of clock checking during the early phase of each 5-min interval. However, compared with adults, children needed more clock checks for obtaining the same level of response accuracy. Executive functioning had selective effects on time-based prospective memory performance. In both children and adults, monitoring performance was related to the inhibition and updating components, but not to the shifting component, of executive functioning. We conclude that difficulties in temporary maintenance and updating of working memory contents may create discontinuities in sense of time, leading to an increased reliance on external cues for time keeping.     

执行功能与数量加工：回顾与展望

回顾了执行功能与数量加工之间的复杂关系。其中,执行功能的4个子系统——抑制、转换、刷新和双任务协调对数量加工的影响各不相同：抑制可以在一定程度上改变数量加工时的自动激活程度;转换功能则主要依赖注意来进行调节;刷新与数量加工关系的研究成果比较少;而双任务协调与数量加工之间的联系存在争论。文章最后分3个方面进行了研究趋势的展望,认为未来执行功能与数量加工的研究将突破相关研究的局限,通过更精巧的设计和大量特殊被试的研究取得突破性进展。     

Metacognition,Executive Functions and Aging: The Effect of Training in the Use of Metacognitive Skills to Solve Mathematical Word Problems

The aim of our research was to study the effects of metacognition training on the performance of older adults solving mathematical word problems. A further aim was to study the links between metacognition and executive function. Thirty-two subjects aged over 60, divided into an experimental and a control group, took part in this study which involved five training sessions. Results show that metacognition training enhanced the two metacognition components (knowledge and skills) and the mathematical problem-solving capacities of the participants. They also suggest that the use of metacognition by older people to solve mathematical word problems is supported by executive functions (updating, shifting) and particularly by processing speed.     

5～6岁不同数学能力水平儿童的执行功能差异研究

为了考察不同数学能力水平儿童的执行功能差异,根据331名学前儿童的数学能力得分选取了潜在数学学习困难儿童组、低分组、典型发展儿童组和数学优秀组等4个实验组。首先分析了各组儿童的执行功能差异特点,之后使用判别分析进一步探索了各执行功能子结构对儿童早期数学能力差异分组的贡献。结果表明:相对于典型发展儿童组,潜在数学学习困难儿童在执行功能的更新、抑制和转换方面普遍缺损;低分组儿童则仅表现出数字更新能力不足;数学优秀组在数字更新和有时间要求的认知转换方面比典型发展组有明显优势。进一步判别分析表明,对早期数学能力差异分组贡献最大的并非独立执行功能子结构,而是更新和转换的共同因素结构。     

Executive functions underlying multiplicative reasoning: Problem type matters

We investigated the extent to which inhibition, updating, shifting, and mental-attentional capacity (M-capacity) contribute to children’s ability to solve multiplication word problems. A total of 155 children in Grades 3–6 (8- to 13-year-olds) completed a set of multiplication word problems at two levels of difficulty: one-step and multiple-step problems. They also received a reading comprehension test and a battery of inhibition, updating, shifting, and M-capacity measures. Structural equation modeling showed that updating mediated the relationship between multiplication performance (controlling for reading comprehension score) and latent attentional factors M-capacity and inhibition. Updating played a more important role in predicting performance on multiple-step problems than did age, whereas age and updating were equally important predictors on one-step problems. Shifting was not a significant predictor in either model. Implications of proposing executive function updating as a mediator between mathematical cognition and chronological age and attention resources are discussed.     

“各说各话”的语言经验对景颇族大学生执行功能的影响

在中国云南的景颇族中,相当多的家庭是由不同支系的人组成的,家庭成员交际时存在着"各说各话"的现象。"各说各话"对讲话者的执行功能有无影响?采用抑制控制、注意转换和记忆刷新任务测量各说各话和非各说各话的景颇族大学生的抑制能力、转换能力和刷新能力。结果表明,各说各话与非各说各话的景颇族大学生在色词干扰和数字转换中差异显著,各说各话者的Stroop效应量小,停止信号的反应时短。各说各话与非各说各话的景颇族大学生在数字转换和图形转换中差异显著,各说各话者反应快,转换代价小。各说各话与非各说各话的景颇族大学生在活动记忆刷新与色点位置刷新任务中差异不显著。这表明,各说各话者比非各说各话者在抑制能力与转换能力上具有优势。语言经验对执行功能的影响具有功能特异性。     

The Relations Between Patterning,Executive Function,and Mathematics

Patterning, or the ability to understand patterns, is a skill commonly taught to young children as part of school mathematics curricula. It seems likely that some aspects of executive function, such as cognitive flexibility, inhibition, and working memory, may be expressed in the patterning abilities of children. The primary objective of the present study was to examine the relationship between patterning and executive functioning for first grade children. In addition, the relations between patterning, executive functioning, mathematics, and reading were examined. The results showed that patterning was significantly related to cognitive flexibility and working memory, but not to inhibition. Patterning, cognitive flexibility, and working memory were significantly related to mathematical skills. Only patterning and working memory were significantly related to reading. Regression analyses and structural equation modeling both showed that patterning had effects on both reading and mathematics measures, and that the effects of cognitive flexibility were entirely mediated by patterning. Working memory had independent effects on reading and mathematics, and also effects moderated by patterning. In sum, these findings suggest that cognitive flexibility and working memory are related to patterning and express their effects on reading and mathematics in whole or in part through patterning.     

语音记忆和中央执行功能在不同年级儿童解码和语言理解中的作用

选取256名三~六年级儿童, 采用相关分析、结构方程模型等方法考察了语音记忆和中央执行功能在不同年级儿童的解码和语言理解中的作用。结果显示, 在低年级阶段, 语音记忆和刷新对解码存在显著预测作用, 转换和刷新对语言理解存在显著预测作用; 在高年级阶段, 只有刷新对解码保持着稳定的预测作用。这表明, 语音记忆和中央执行功能对儿童的解码和语言理解存在不同的影响, 并且这种影响会随着年级的增长发生变化。     

Ageing, remembering, and executive function

This study was designed to investigate the relationship between executive functions and the age-related decline in episodic memory through the states-of-awareness approach. Following the presentation of a word list, a group of younger adults and a group of older adults undertook a recognition test in which they classified their responses according to the Remember-Know-Guess procedure (Gardiner & Richardson-Klavehn, 2000). In order to operationalise the executive function hypothesis, we investigated three specific executive functions (updating, shifting, and inhibition of a prepotent response) described in Miyake et al.'s (2000) theoretical model, and a complex executive task. The results revealed that fewer "R" responses were made during the recognition test by the older than the younger group, whereas there was no difference between the groups in the number of "K" responses. In addition, correlations indicated that remembering depended on executive function measures, whereas knowing did not. The hierarchical regression analyses showed that controlling for executive function, and particularly for the 2-back test, largely removed the age-related variance in remembering. These findings support the notion that executive dysfunction, and specifically updating decline, plays a central role in age-related memory loss.     

中央执行子功能对预期式时距估计的作用——基于结构方程模型的结果

采用结构方程模型的方法探讨中央执行系统与时距加工过程的关系,考察三种中央执行子功能(转换,抑制,刷新)对预期式长、短时距估计(两种标准时距:2s,5s)的作用模式。结果发现刷新功能对长、短时距估计任务都产生影响;抑制功能只作用于长时距估计;转换功能不参与单独的预期式时距估计过程。结果表明,三种执行子功能对预期式短时距加工和长时距加工的作用不同,支持时距加工的差异机制假设。     

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.     

Do attentional capacities and processing speed mediate the effect of age on executive functioning?

The executive processes are well known to decline with age, and similar data also exists for attentional capacities and processing speed. Therefore, we investigated whether these two last nonexecutive variables would mediate the effect of age on executive functions (inhibition, shifting, updating, and dual-task coordination). We administered a large battery of executive, attentional and processing speed tasks to 104 young and 71 older people, and we performed mediation analyses with variables showing a significant age effect. All executive and processing speed measures showed age-related effects while only the visual scanning task performance (selective attention) was explained by age when controlled for gender and educational level. Regarding mediation analyses, visual scanning partially mediated the age effect on updating while processing speed partially mediated the age effect on shifting, updating and dual-task coordination. In a more exploratory way, inhibition was also found to partially mediate the effect of age on the three other executive functions. Attention did not greatly influence executive functioning in aging while, in agreement with the literature, processing speed seems to be a major mediator of the age effect on these processes. Interestingly, the global pattern of results seems also to indicate an influence of inhibition but further studies are needed to confirm the role of that variable as a mediator and its relative importance by comparison with processing speed.