The role of the working memory and language skills in the prediction of word problem solving in 4- to 7-year-old children

The aim of this study was to analyse the role of verbal and visuo-spatial working memory (WM) and language skills (vocabulary, listening comprehension) in predicting preschool and kindergarten-aged children’s ability to solve mathematical word problems presented orally. The participants were 116 Finnish-speaking children aged 4–7?years. The results showed that verbal WM (VWM) did not have a direct effect on word problems in young children but was indirectly related to word problems through vocabulary and listening comprehension. These results suggest that in young children, VWM resources support language skills which, furthermore, contribute to variation in solving orally presented word problems. The results also showed that visuo-spatial WM had a direct effect on performance in word problems, suggesting that it plays an important role in word problem solving among this age group.     

Improving children's working memory and classroom performance

Previous research has demonstrated close relationships between working memory and children's scholastic attainment. The aim of the present study was to explore a method of improving working memory, using memory strategy training. Two hundred and fifty‐four children aged five to eight years were tested on measures of the phonological loop, visuo‐spatial sketchpad and central executive components of the multiple component model of working memory. Subgroups of children also completed tasks of following instructions and mental arithmetic in the classroom, and standardised tests of reading, arithmetic and mathematics. Half of the children then used Memory Booster, a computer game that teaches memory strategies, over a period of six to eight weeks. All the children were then retested on the memory and ability measures. The standardised tests were also administered five months later. The results revealed that working memory strategy training resulted in significant improvements in tasks assessing the phonological loop and central executive components of working memory, and tasks assessing following instructions and mental arithmetic in the classroom. However, no improvements were observed on standardised tests of reading, arithmetic or mathematics, either immediately following training or five months later. The results are discussed in terms of implications for educational practice.     

Working memory resources in children: stability and relation to subsequent academic skills

This study aimed to investigate the extent to which WM measured in kindergarten predicts WM measured in second grade (stability of individual WM progress) and the extent to which WM measured at kindergarten predicts academic performance at second grade (N?=?94). The results showed that WM skills significantly increase during the time span from Finnish kindergarten to second grade. Verbal (VWM) and visuospatial WM (VSWM) resources seem to develop quite independently, whereas individual progress showed some stability. WM resources measured just before the start of formal school predicted later academic performance and VWM acted as more powerful predictor than VSWM resources. The results have two important educational implications: first, an individual or group-based intervention designed to enhance children’s WM skills would be most important even before the start of school, and second, poor WM skills should be addressed when planning the learning environment beginning in kindergarten.     

Additive and multiplicative effects of working memory and test anxiety on mathematics performance in grade 3 students

The aim of this study was to investigate the interplay between test anxiety and working memory (WM) on mathematics performance in younger children. A sample of 624 grade 3 students completed a test battery consisting of a test anxiety scale, WM tasks and the Swedish national examination in mathematics for grade 3. The main effects of test anxiety and WM, and the two-way interaction between test anxiety and WM on mathematics performance, were modelled with structural equation modelling techniques. Additionally, the effects were also tested separately on tasks with high WM demands (mathematical problem-solving) versus low WM demands (basic arithmetic). As expected, WM positively predicted mathematics performance in all three models (overall mathematics performance, problem-solving tasks, and basic arithmetic). Test anxiety had a negative effect on problem-solving on the whole sample level but concerning basic arithmetic only students with lower WM were affected by the negative effects of test anxiety on performance. Thus, students with low WM are more vulnerable to the negative effects of test anxiety in low WM tasks like basic arithmetic. The results are discussed in relation to the early identification of test anxiety.     

Problem solving in mathematics: the significance of visualisation and related working memory

The importance of educational psychologists’ (EPs’) skills to the formulation of evidence-based educational strategies, as well as in response to learning difficulties, is demonstrated here in relation to mathematical problem solving. Initiatives to improve the link between mathematical skills from school to everyday life have drawn significantly on problem solving tasks. Through critical evaluation of research, the relevance of visualisation methods and working memory to problem solving is considered within this article. Studies suggest that differences exist in the effectiveness of particular visualisation methods, but that training can improve their utility and thereby problem solving performance. Additionally, differences between individuals and contexts can influence visualisation use, and some pupils experience specific difficulties in this area. Recommendations are made to enhance the teaching of visualisation as a strategy for problem solving, and to support those pupils with specific difficulties.     

Four and twenty blackbirds: how transcoding ability mediates the relationship between visuospatial working memory and math in a language with inversion

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.     

Selective spatial working memory impairment in a group of children with mathematics learning disabilities and poor problem-solving skills

This study examines visual and spatial working memory skills in 35 third to fifth graders with both mathematics learning disabilities (MLD) and poor problem-solving skills and 35 of their peers with typical development (TD) on tasks involving both low and high attentional control. Results revealed that children with MLD, relative to TD children, failed spatial working memory tasks that had either low or high attentional demands but did not fail the visual tasks. In addition, children with MLD made more intrusion errors in the spatial working memory tasks requiring high attentional control than did their TD peers. Finally, as a post hoc analysis the sample of MLD was divided in two: children with severe MLD and children with low mathematical achievement. Results showed that only children with severe MLD failed in spatial working memory (WM) tasks if compared with children with low mathematical achievement and TD. The findings are discussed on the basis of their theoretical and clinical implications, in particular considering that children with MLD can benefit from spatial WM processes to solve arithmetic word problems, which involves the ability to both maintain and manipulate relevant information.     

The role of phonological memory,word recognition,and comprehension skills in reading development: from preschool to grade 2

We examined the relationships among phonologicalawareness, phonological memory, and development ofreading skills in a longitudinal study, by following222 Finnish preschoolers through the grade 2.The main focus was on the role of phonological memoryin word recognition and comprehension. The skillsassessed were verbal abilities, phonological memory,phonological awareness, word recognition, listeningand reading comprehension, altogether comprising themost extensive set of variables so far used in thestudy of phonological memory and reading. We proposeda structural equation model for the developmentalrelationships among the variables. This model waslargely confirmed by the data. The most significantpredictor of word recognition was phonologicalawareness. Phonological memory had only a weak effecton phonological awareness at preschool age, andvia this connection, a weak indirect effect on grade 1 word recognition. Contrary toexpectations, phonological memory also had asignificant, albeit weak effect on grade 2word recognition. Phonological memory did notdirectly affect reading comprehension. However,it was strongly related to listeningcomprehension at preschool, and via the strongeffects of both listening comprehension and wordrecognition on reading comprehension, there weresignificant indirect effects of phonological memory onreading comprehension. The results also underline thestability of development of phonological memory, wordrecognition, and comprehension from preschool to theend of grade 2.     

Longitudinal contributions of executive functioning and visual-spatial skills to mathematics learning in young Chinese children

One hundred sixty-five Hong Kong Chinese children were administered measures of early mathematics, visual-spatial skills, and executive functioning (working memory, inhibition, shifting, updating) once in kindergarten (mean age?=?62.80 months, SD?=?3.74) and again in first grade (mean age?=?77.25 months, SD?=?4.60). In kindergarten, visual-spatial skills, inhibition, shifting, and working memory were all uniquely associated with concurrent mathematics performance; in first grade, only working memory and visual-spatial skills were significantly related to concurrent mathematics abilities. Furthermore, working memory and visual-spatial skills in kindergarten predicted 19% of the variance in children’s mathematics performance in first grade, beyond the autoregressive effects of mathematics performance in kindergarten as well as demographic variables. Findings highlight the importance of working memory and visual-spatial skills for young Chinese children in mastering mathematics.     

A structural model of algebra achievement: computational fluency and spatial visualisation as mediators of the effect of working memory on algebra achievement

The goal of this study was to develop and evaluate a structural model of the relations among cognitive abilities and arithmetic skills and college students’ algebra achievement. The model of algebra achievement was compared to a model of performance on the Scholastic Assessment in Mathematics (SAT‐M) to determine whether the pattern of relations is similar for different types of higher level maths achievement. Structural equation modelling was used to test the effects of working memory, 3D spatial ability, and computational fluency on both types of higher order maths achievement. Computational fluency had the strongest effect on algebra achievement, with 3D spatial ability and working memory showing moderate effects. In contrast, 3D spatial ability had a stronger effect on SAT‐M scores than did computational fluency. Computational fluency and 3D spatial ability completely mediated the effect of working memory for both algebra and SAT‐M achievement.     

Deaf children and children with ADHD in the inclusive classroom: working memory matters

This study compared the working memory functioning of deaf children, children with ADHD and typically developing children. Working memory is involved in the storage and mental manipulation of information during classroom learning activities that are crucial for the acquisition of complex skills and knowledge. Thus, it is important to determine how these groups compare in this regard as this has implications for teaching them together in an inclusive classroom. Simple and complex visuo-spatial and verbal working memory were assessed in 24 children with ADHD and 20 control children with no diagnosed ADHD, to determine whether any differences existed between these groups. A second comparison occurred between the simple and complex visuo-spatial working memory of the latter two groups, as well as 24 deaf children, all matched on age, gender and home language. The control group scored significantly higher than the deaf children and the children with ADHD on all components of simple and complex working memory. The implications of this finding are that children with ADHD and deaf children may share similar working memory profiles, making it easier to accommodate both sets of children together in the inclusive classroom. Suggestions are given for how educators could assist these children by reducing the demands on working memory.     

Attentional and executive function behaviours in children with poor working memory

The purpose of this study was to explore the profiles of classroom behaviour relating to attention and executive functions in children with very poor working memory, and to test the hypothesis that inattentive behaviour and working memory problems co-occur. Teachers rated problem behaviours of 52 children with low working memory scores aged 5/6 and 9/10 years on teacher rating measures of attention and executive function behaviours. The majority of children with low working memory scores obtained atypically high ratings of cognitive problems/ inattentive symptoms, and were judged to have short attention spans, high levels of distractibility, problems in monitoring the quality of their work, and difficulties in generating new solutions to problems. These results extend previous findings that working memory problems and inattentive behaviour co-occur to a non-clinical sample. It is suggested that reduced working memory capacity may play a causal role in the problem behaviours of these children.     

The effects of informational complexity and working memory on problem-solving efficiency

This study investigated the influence of informational complexity and working memory capacity on problem-solving efficiency. We examined two predictions of thesituational efficiency hypothesis, which states that the efficiency of problem solving varies as a function of situational constraints. One prediction is that informational complexity affects problem-solving efficiency. A second prediction is that working memory capacity affects problem-solving efficiency. Students completed a working memory task and solved abstract and concrete syllogisms. Participants solved abstract syllogisms more accurately than concrete syllogisms and spent more time solving abstract syllogisms. Thus participants demonstrated greater problem-solving efficiency when solving concrete syllogisms. Results indicate that there is a trade-off between problem-solving accuracy and problem-solving time when information differs with respect to informational complexity, a phenomenon we refer to as theefficiency paradox. Working memory capacity did not affect accuracy or efficiency. The results support the conclusion that problem-solving efficiency is situational and a function of the complexity of information. Educational implications and directions for future research are suggested.     

Correlates of early reading comprehension skills: a componential analysis

This study had three main aims. First, we examined to what extent listening comprehension, vocabulary, grammatical skills and verbal short-term memory (VSTM) assessed prior to formal reading instruction explained individual differences in early reading comprehension levels. Second, we examined to what extent the three common component skills, namely vocabulary, grammar and VSTM explained the relationship between kindergarten listening comprehension and early reading comprehension levels. Third, we examined the relative contributions of word-reading and listening comprehension skills to early reading comprehension in Turkish. For this purpose, 56 Turkish-speaking children were followed from kindergarten (mean age?=?67.7?months) into Grade 2 (mean age?=?90.6?months). The relative role of kindergarten listening comprehension, vocabulary, VSTM and grammatical skills in later reading comprehension tended to vary across time, and they partly explained the relationship between listening comprehension and reading comprehension. Finally, as anticipated, listening comprehension, rather than word-reading , was found to play a more powerful role in children’s reading comprehension levels even during the early primary grades. These results contradicted those reported in English and can be explained by the rapid development of accurate word-reading skills due to the consistency of the grapheme–phoneme relationships of the Turkish orthography.     

Fluid reasoning,working memory and planning ability in assessment of risk for mathematical difficulties

ABSTRACT

The demands on mathematical problem-solving have increased in almost all school systems internationally and may constitute a barrier for children with special educational needs (SEN). This study explored the role of fluid reasoning (FR), working memory (WM) and complex executive function of planning (EF) in children (N = 62) referred for assessment of SEN, and specifically of risk for mathematical difficulties (MD). Performances on FR, WM and complex EF of planning were used to predict risk for MD. Results showed that planning ability predicted children at risk for MD, beyond FR or WM ability, when comparing with children not at risk for MD. It was concluded that assessing the complex EF of planning in addition to FR and WM ability is crucial in identifying children at risk for MD. The importance of understanding how planning ability affects children’s mathematical problem-solving is discussed, in relation to assessment and teaching practices.     

Mathematics anxiety and working memory: Longitudinal associations with mathematical performance in Chinese children

The link between mathematics anxiety and mathematical performance in young children remains inconclusive. The present study examined the longitudinal associations between mathematics anxiety and mathematical performance (calculation and story problem solving) in 246 Chinese children followed from second to third grade. Multiple regression analyses showed that mathematics anxiety made independent contributions to mathematical performance beyond non-verbal intelligence, working memory, number skills, general and test anxieties. However, mathematics anxiety does not affect all children and all kinds of mathematical performance equally. Mathematics anxiety has a more pronounced impact on mathematical problems that require more processing resources, as opposed to simple arithmetic problems and straightforward story problems and children who are higher in working memory are more vulnerable to its deleterious impacts.     

Gliding text: a new aid to improve the reading performance of poor readers by subconscious gaze control

In support of efforts at reducing the number of dyslexics and illiterates in industrialized countries it is proposed, for the first time, to use gliding text ‐ as known in television subtitles ‐ as a method of text display to help those learning to read. Beginners, having the difficult task of precisely directing their gaze letter by letter along the line of text, experience with gliding text automatic gaze guidance as in so‐called ‘optokinetic nystagmus’. This subconscious gaze control allows beginners to pay more attention to contextual processing. First training courses have shown that exercises with gliding text are very efficient. Reading difficulties were eliminated for 21 second‐grade elementary school children in only 24 training sessions, each of 15 min duration. The mean reading speed increased from ten to 24 words per minute (WPM).     

言语工作记忆在双语加工中的作用

本文探讨了言语工作记忆在双语者第一语言和第二语言学习中发挥的不同作用,尤其在两种语言的阅读理解、语法理解、口语水平、词汇密度和语言成绩等方面,并推论它在形式不同的语言加工中具有特殊性和普适性。     

二维客体在视觉工作记忆中的存储单位

本实验对由不同维度(颜色和形状)的不同特征构成的客体进行探测,以正确率和反应时为指标,探索视觉工作记忆存储的基本单位是客体还是特征。实验1结果显示特征数显著影响了被试的记忆成绩。实验2结果显示客体数对被试的记忆成绩没有显著的影响。最终实验得出记忆由不同维度的特征组成的客体时,视觉工作记忆存储的基本单位是特征。     

Learning to read Chinese: Semantic,syntactic, phonological and working memory skills in normally achieving and poor Chinese readers

Whereas many studies point to a positive relationship between phonological skills and reading in English, little is known about these relationships for children learning to read in a morphemic orthography such as Chinese. The aim of this study was to examine the relationships among reading ability, phonological, semantic and syntactic skills in Chinese. The participants were 196 grade 1 to grade 4 Chinese children in Hong Kong. A word recognition task in Chinese was developed and children who scored in the lowest quartile were classified as poor readers. The children were administered phonological tasks (tone and rhyming discrimination), semantic tasks (choosing similar words and sentences meanings), a syntactic task (oral cloze), and a working memory task. The results showed that word recognition was highly correlated with phonological skills and semantic processing, and was only moderately related to syntactic knowledge and working memory. Poor readers showed a significant lag in the development of these skills with the most significant problems at the phonological and semantic levels. Phonological skills are important to the acquisition of reading skills in both Chinese and English.