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1.
In the past years, an increasing number of studies have investigated executive functions as predictors of individual differences in mathematical abilities. The present longitudinal study was designed to investigate whether the executive functions shifting, inhibition, and working memory differ between low achieving and typically achieving children and whether these executive functions can be seen as precursors to math learning disabilities in children. Furthermore, the predictive value of working memory ability compared to preparatory mathematical abilities was examined. Two classifications were made based on (persistent) mathematical ability in first and second grade. Repeated measures analyses and discriminant analyses were used to investigate which functions predicted group membership best. Group differences in performance were found on one inhibition and three working memory tasks. The working memory tasks predicted math learning disabilities, even over and above the predictive value of preparatory mathematical abilities.  相似文献   

2.
The present study aims to examine the relationship between cognitive factors and mathematical achievement in primary education. Participants were 103 Portuguese third grade students, aged 8 and 9. All participants completed a battery for working memory (WMTB-C), a test of general intelligence (Raven's Progressive Color Matrices), a selective attention test (d2), and mathematical exercises (arithmetic story problems and measurement skills). Data suggested significant correlations between math performance, executive, visuospatial sketchpad and g factor. Our findings suggest the importance of the cognitive factors in two mathematical domains considered. In consonance with the research in this area, we conclude that working memory (WM) assumes an important role in different math curricular achievements.  相似文献   

3.
Research Findings: The contribution of 3 executive function skills (shifting, inhibitory control, and working memory) and their relation to early mathematical skills was investigated with preschoolers attending 6 Head Start centers. Ninety-two children ranging in age from 3 years, 1 month, to 4 years, 11 months, who were native English or Spanish speakers were assessed for these executive function skills as well as their receptive vocabulary skills and early mathematical abilities using the Child Math Assessment (Starkey, Klein, & Wakeley, 2004), which captures an array of skills across 4 domains. Hierarchal regression analyses revealed that inhibitory control and working memory made unique contributions to children’s early mathematical abilities in the domains of numeracy, arithmetic, spatial/geometric reasoning, and patterning/logical relations after we controlled for age, receptive vocabulary, and previous Head Start experience. Furthermore, receptive vocabulary also accounted for significant variance in children’s early mathematical abilities above and beyond executive function skills. No group differences emerged between English-only and dual language learners on the fit of the regression models. Practice or Policy: These findings extend previous research highlighting the interface of executive function skills and mathematical learning in early childhood with further evidence to support this relationship beyond early numeracy and counting using a broad measure of critical early math skills. In addition, the intricate role of language in the development of early mathematical competence is considered. Implications of these findings for scaffolding executive function skills and vocabulary within prekindergarten math curricula are discussed, with particular consideration for children from low socioeconomic backgrounds.  相似文献   

4.
Math anxiety is considered a predictor of math achievement, although the cognitive mechanism whereby math anxiety impairs math achievement is unclear. The paper presents the results of cross-sectional (N = 241) and longitudinal (N = 369) studies conducted among early school-aged children on the cognitive mechanism whereby math anxiety impairs math achievement. The following hypotheses were tested: (1) math anxiety directly affects math achievement; (2) in accordance with processing efficiency and attentional cognitive theories, math anxiety indirectly affects math achievement through working memory; (3) in accordance with the cognitive deficit model, math anxiety indirectly affects math achievement through number sense. The results mostly confirm the mediating role of working memory and undermine the mediating role of number sense and the direct path in the relationship between math anxiety and math achievement. Because previous studies undertaken in adults show the direct path from math anxiety to math achievement and the role of symbolic number processing in explaining the relationship between the two, the methodological and developmental aspects of the obtained results are discussed in the paper.  相似文献   

5.
The present study outlines a specific three‐level hierarchy of the cognitive system, in particular the relationship between cognitive and metacognitive processes in mathematics. The emphasis is on the impact of processing efficiency and working memory ability on the development of self‐representation and mathematical performance. We developed and used instruments measuring pupils' self‐representation, mathematical performance, working memory, and information processing and administered them to 126 pupils (8–11 years old) three times, with breaks of three to four months between testing. Results indicated that the development of each of the abilities was affected by the state of the others. In particular, processing efficiency had a coordinator role on the growth of mathematical performance, while self‐image, as a specific dimension of self‐representation, depended mainly on previous working memory ability.  相似文献   

6.
Socioeconomic attainment gaps in mathematical ability are evident before children begin school, and widen over time. Little is known about why early attainment gaps emerge. Two cross-sectional correlational studies were conducted in 2018–2019 with socioeconomically diverse preschoolers, to explore four factors that might explain why attainment gaps arise: working memory, inhibitory control, verbal ability, and frequency of home mathematical activities (N = 304, 54% female; 84% White, 10% Asian, 1% black African, 1% Kurdish, 4% mixed ethnicity). Inhibitory control and verbal ability emerged as indirect factors in the relation between socioeconomic status and mathematical ability, but neither working memory nor home activities did. We discuss the implications this has for future research to understand, and work towards narrowing attainment gaps.  相似文献   

7.
Writing down spoken number words (transcoding) is an ability that is predictive of math performance and related to working memory ability. We analysed these relationships in a large sample of over 25,000 children, from kindergarten to the end of primary school, who solved transcoding items with a computer adaptive system. Furthermore, we investigated the nature of transcoding difficulty of over 300 two- and three-digit numbers. All data come from a Dutch sample, meaning that transcoding is complicated by decade-unit inversion: 24 is pronounced as ‘four-and-twenty’. Omission to invert the digits of a spoken number when writing it down is an inversion error: the incidence of these declined but did not disappear in later elementary school. Furthermore, transcoding ability mediated the relationship between visuospatial working memory and mathematics performance, a strong effect that declined with age. Inversion error making mediated this same relationship in an inverted U-shaped curve, peaking around grade 2 (8 years old). At the item level, structural characteristics related to inversion and irregular pronunciation of units and decades explained a large part of the variance in item difficulty. We conclude that number transcoding is an important ability to develop mathematical proficiency and discuss the implications of these findings.  相似文献   

8.
Construction play is thought to develop logico-mathematical skills, however the underlying mechanisms have not been defined. In order to fill this gap, this study looks at the relationship between Lego construction ability, cognitive abilities and mathematical performance in 7-year-old, Year 2 primary school children (N = 66). While studies have focused on the relationship between mathematics performance and verbal memory, there are limited studies focussing on visuospatial memory. We tested both visuospatial and verbal working memory and short term memory, as well as non-verbal intelligence. Mathematical performance was measured through the WIAT-II numerical operations, and the word reading subtest was used as a control variable. We used a Lego construction task paradigm based on four task variables found to systematically increase construction task difficulty. The results suggest that Lego construction ability is positively related to mathematics performance, and visuospatial memory fully mediates this relationship. Future work of an intervention study using Lego construction training to develop visuospatial memory, which in turn may improve mathematics performance, is suggested.  相似文献   

9.
The impact of memory and anxiety on math performance was analyzed in a sample of 115 college undergraduates, all of whom had a diagnosed learning disability. The direct effects of memory and anxiety on math performance were first examined, followed by an examination of whether anxiety moderates the relationship between memory and math. Both memory and anxiety were found to directly affect math performance. Additionally, anxiety served as a moderator of the relationship between memory and math for most, but not all, measures of math achievement. The moderating effect of anxiety was stronger for long-term retrieval than for short-term memory. The relationships between memory, anxiety, and math were not significantly different for males and females. These findings suggest that, when working with individuals who have low anxiety but poor memory, enhancing memory strategies may be effective for remediating problems in math. However, for those with high levels of anxiety, it may be more efficacious to first ameliorate the anxiety, as working on memory may have a negligible effect on math performance for these individuals.  相似文献   

10.
The aim of this study was to examine the relationship between working memory capacity and mathematical performance measured by the national curriculum assessment in third-grade children (n?=?40). The national tests concerned six subareas within mathematics. One-way ANOVA, two-tailed Pearson correlation and multiple regression analyses were conducted. The results showed that working memory could be deemed as a predictor for the overall mathematical ability. However, the significance of working memory contributions varied for the different mathematical domains assessed. Working memory contributed most to basic mathematical competencies. Algorithms were not explained significantly by working memory. The contributions of different working memory resources varied as a function of the mathematical domain, but in certain respects the variance was shared across the elements and both visuo-spatial and phonological abilities seem important for mathematic performance. We suggest that individuals’ working memory capacity is important to take into consideration in learning.  相似文献   

11.
This study explored mathematics anxiety in a longitudinal sample of 113 children followed from second to third grade. We examined how mathematics anxiety related to different types of mathematical performance concurrently and longitudinally and whether the relations between mathematics anxiety and mathematical performance differed as a function of working memory. Concurrent analyses indicated that mathematics anxiety represents a unique source of individual differences in children’s calculation skills and mathematical applications, but not in children’s geometric reasoning. Furthermore, we found that higher levels of mathematics anxiety in second grade predicted lower gains in children’s mathematical applications between second and third grade, but only for children with higher levels of working memory. Overall, our results indicate that mathematics anxiety is an important construct to consider when examining sources of individual differences in young children’s mathematical performance. Furthermore, our findings suggest that mathematics anxiety may affect how some children use working memory resources to learn mathematical applications.  相似文献   

12.
Past research has shown that working memory capacity, attention and students’ approaches to learning are all important predictors for educational achievement. In this study the interrelations between these three variables are investigated. Participants were 128 university students. Results show a negative relationship between attention and deep approaches to learning: students with a lower level of attention seem to use more deep approaches to learning than students with higher levels of attention. It was also found that students with a high working memory capacity score lower on both the surface and deep approaches to learning than students with a low working memory capacity. A possible explanation is that these high capacity students might not need a consistent profound strategy to be successful because they are very good at acquiring, processing and integrating all types of new information before moving it to storage.  相似文献   

13.
A review of the history of working memory (WM) studies finds that the concept of WM evolved from short-term memory to a multi-component system. Comparison between contemporary WM models reveals: (1) consensus that the content of WM includes not only task-relevant information, but also task-irrelevant information; (2) consensus that WM consists of phonological and visuospatial components; (3) consensus that short-term memory storage is a function of WM; (4) disagreement as to whether an independent executive control is a necessary WM component; and (5) disagreement as to whether the control function is active or passive. Methods for measuring WM differed across studies with a preponderance of various dual-tasks; little psychometric work has been done on these measures. Correlational studies supported a close relationship between WM and measures of fluid intelligence and science achievement, but we found no experimental studies on the impact of WM training on science achievement. Finally we suggest how WM research findings may be applied to improve fluid intelligence and science achievement.  相似文献   

14.
Abstract

Researchers in science education recognise the importance of information processing capacity as a constraint on the abilities and achievements of science students. This constraint has been referred to as ‘mental capacity’ or ‘working memory capacity’, with the latter leading to the so‐called ‘working memory overload hypothesis’. However, rarely have researchers in this area been explicit as to the nature or theory of the mental capacity or the working memory system to which these terms refer.

In this paper we outline two possible models which have proved useful in studies of information processing in other domains. The first model (of mental capacity) developed by Pascual‐Leone and his colleagues has been applied in science education with varying degrees of success. The second model (of working memory) developed by Baddeley and his colleagues has been very successful in accounting for a wide range of cognitive activity, although it has not been applied to science education hitherto. We conclude that consideration of elements of the working memory framework may well prove fruitful in science education.  相似文献   

15.
With a focus on within-person effects, this study investigated mutualism among academic skills (reading, math, science) and between those skills and verbal working memory in a general population sample and groups with high or low skills from Grades 2 to 5 (2010–2016, N = 859–9040, age 6.27–13.13 years, 49% female, ethnically diverse). Mutualism was found between reading and science in all high-ability groups, and between reading/math and verbal working memory only in high-math students. These results remained the same when controlled for socioeconomic status and gender, and with sensitivity analyses. High-skill students (especially high-math students) may improve academic performance through accumulation of academic knowledge and mutualism between academic and cognition. Such mutualism may be driven by high-quality, intensive academic practice.  相似文献   

16.
Individual differences in mathematics performance may stem from domain-general factors like working memory and intelligence. Parietal and frontal brain areas have been implicated in number processing, but the influence of such cognitive factors on brain activity during mathematics processing is not known. The relationship between brain mechanisms during symbolic and nonsymbolic number comparison and individual differences in working memory, nonverbal IQ, and mathematics achievement were investigated to determine possible associations with behavior and brain function. A number of brain areas showed correlations with working memory and number processing. For symbolic digits, working memory showed a positive relationship with brain activity in a network of bilateral parietal, temporal, and right frontal regions. For nonsymbolic dot arrays, working memory showed a negative relationship with several parietal and frontal brain areas. This relationship indicates differences between behavioral and brain function measures and points to the importance of working memory and basic number processing.  相似文献   

17.
Using strict and lenient mathematics achievement cutoff scores to define a learning disability, respective groups of children who are math disabled (MLD, n=15) and low achieving (LA, n=44) were identified. These groups and a group of typically achieving (TA, n=46) children were administered a battery of mathematical cognition, working memory, and speed of processing measures (M=6 years). The children with MLD showed deficits across all math cognition tasks, many of which were partially or fully mediated by working memory or speed of processing. Compared with the TA group, the LA children were less fluent in processing numerical information and knew fewer addition facts. Implications for defining MLD and identifying underlying cognitive deficits are discussed.  相似文献   

18.
The purpose of this study was to investigate whether a general or specific working memory (WM) system is related to writing and whether individual differences in reading and/or processing efficiency underlie the correlations between WM and writing. Two studies correlated WM with writing (Test of Written Language-TOWL) and reading measures. In Study 1, WM was correlated significantly with a number of writing measures, particularly to those measures related to text generation. Working-memory also contributed unique variance to writing, beyond what is predicted by reading comprehension. Study 2 compared the correlations of verbal and visual-spatial WM measures with the TOWL under initial and enhanced memory processing (dynamic assessment) conditions. The coefficients were statistically comparable between initial and enhanced processing conditions, suggesting that individual differences in processing efficiency do not account for the correlations between WM and writing. Overall, the results indicated that (a) WM measures contribute unique variance to writing, especially text generation, and (b) working memory performance improves under gain conditions, but this enhanced processing efficiency did not appear to mediate the links between WM and writing. Taken together, the two studies support a general capacity explanation for the relationship between working memory and text generation.  相似文献   

19.
This study investigated whether different types of ordering skills were related to mathematics achievement in children (n = 100) in middle childhood, after the effects of age, socio-economic status, IQ, and processing speed were taken into account. The relations between ordering skills and magnitude processing were also investigated, as well as the possibility that some of the shared variance between math and reading is explained by ordering abilities. The ordering tasks included the ordering of familiar numerical and non-numerical sequences, a parental report of children’s everyday ordering skills, and an order working memory task. Three magnitude processing tasks (symbolic and non-symbolic comparison and number line estimation), were also administered, as well as measures of inhibition and spatial working memory. From this set of measures, number ordering, order working memory and number line estimation emerged as the most important predictors of mathematics skills. We found that number ordering mediated the effect of both symbolic and non-symbolic comparison skills on mathematics, further confirming that this task captures some essential skills related to mathematics. Additionally, order working memory mediated the effect of both number comparison and reading skills on math. Finally, whereas non-symbolic comparison and number line estimation are considered important indicators of magnitude processing skills, there was no relationship between these abilities, but there was a correlation between each of these abilities and reading skills, with number line estimation also mediating the effect of reading skills on math. These novel findings could contribute to a better understanding of the basic processes underlying math ability, and why math and reading are strongly related in typical populations and in children with learning difficulties.  相似文献   

20.
This study examined temporal resolution of auditory perception (TRAP) in relation to speech perception and phonological working memory in one experiment and in relation to measures of rapid naming, understanding of grammatical contrasts, and phonological awareness in a second experiment. In the TRAP test, 6- to 9-year-old children discriminated four pairs of two sine tones, 878 Hz and 1350 Hz, presented in blocks with stepwise decreasing interstimulus intervals from 256 ms to 8 ms. In Experiment 1, weak but significant correlations between TRAP and speech perception and phonological working memory were found, as well as a significantly lower TRAP performance by girls. Experiment 2 indicated a significant relation between TRAP and the phonological awareness task. The results give qualified support to the notion of a weak relationship between TRAP and speech perception and language skills among typical children. However, the gender differences in TRAP performance, the limited variance explained by the regression models, and the finding that only one of the language parameters correlated with TRAP do not support the notion of a causal relationship between language skills and TRAP. The possibility that TRAP is connected to general neurological maturation rather than specifically to language abilities is discussed.  相似文献   

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