Mathematical competencies in children with different types of learning difficulties.

The mathematical performance of 182 third and fourth graders in 8 different areas of mathematics was examined. The children belonged to 4 achievement groups: children with mathematic difficulties (MD only), children with both mathematic and reading difficulties (MD-RD), children with reading difficulties (RD only), and normally achieving children (control group). Both MD groups performed worse than the normally achieving children in all but 1 area, place value knowledge. The MD-only and the MD-RD children performed equally in all areas of mathematics. The RD-only group performed at the same level as the control group on all areas of mathematics. The study provides further evidence that fact retrieval deficits are a cardinal characteristic of children with MD. The MD children's substantial difficulties with mathematic word problem solving can be attributed to several processes involved in problem solving. Besides poor skills in multidigit calculation, arithmetic fact retrieval, and poor understanding of calculation principles, children with MD might have deficits related to specific problem-solving processes such as establishing a problem representation and developing a solution plan. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Achievement growth in children with learning difficulties in mathematics: Findings of a two-year longitudinal study.

The reading and mathematics growth of 180 children was examined over 4 points, spanning 2nd and 3rd grades. Initially, 4 achievement groups were identified: difficulties in mathematics but not in reading (MD only), difficulties in mathematics as well as in reading (MD-RD), difficulties in reading hut not in mathematics (RD only), and normal achievement in mathematics and in reading. When IQ, income, ethnicity, and gender were held constant, the MD-only group grew at a faster rate in mathematics than did the MD-RD group. In reading, the RD-only and MD-RD groups grew at about the same rate. Reading abilities influence children's growth in mathematics, but mathematics abilities do not influence children's growth in reading. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Skill development in different components of arithmetic and basic cognitive functions: Findings from a 3-year longitudinal study of children with different types of learning difficulties.

Arithmetic and cognitive skills of children with mathematical difficulties (MD-only), with comorbid reading difficulties (MD-RD), with reading difficulties (RD-only), and normally achieving children were examined at 3 points from Grades 3–4 to Grades 5–6 (age range, 9–13 years). Both MD groups displayed severe weaknesses in 4 domain-specific arithmetic components (factual, conceptual, procedural, and problem-solving skills) during all 3 measure points. Telling time and approximate arithmetic were also problematic for children with MD. Both MD groups displayed a small weakness related to visual–spatial working memory, and the MD-RD group also displayed small weaknesses related to verbal short-term memory, processing speed, and executive functions. The 4 groups developed at similar rates within all domain-specific components as well as basic cognitive functions. These findings demonstrate that children identified as having MD when they are 9 years old do not catch up with their normally achieving peers in later school grades, when they are 13 years old. They also continue to lag behind their peers with respect to the domain-general cognitive system. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Aberrant spatiotemporal activation profiles associated with math difficulties in children: A magnetic source imaging study.

The study investigates the relative degree and timing of cortical activation in parietal, temporal, and frontal regions during simple arithmetic tasks in children who experience math difficulties. Real-time brain activity was measured with magnetoencephalography during simple addition and numerosity judgments in students with math difficulties and average or above average reading skills (MD group, N = 14), students with below average scores on both math and basic reading tests (MD/RD group, N = 16) and students with above average scores on standardized math tests (control group, N = 25). Children with MD showed increased degree of neurophysiological activity in inferior and superior parietal regions in the right hemisphere compared to both controls and MD/RD students. Left hemisphere inferior parietal regions did not show the expected task-related changes and showed activity at a significant temporal delay. MD students also showed increased early engagement of prefrontal cortices. Taken together, these findings may indicate increased reliance on a network of right hemisphere parietal (and possibly frontal areas as well) for simple math calculations in students who experience math difficulties but perform within normal range in reading. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Cognitive arithmetic and problem solving: a comparison of children with specific and general mathematics difficulties

This study examined problem-solving and number-fact skills in two subgroups of third-grade children with mathematics difficulties (MD): MD-specific (n = 12) and MD-general (n = 12). The MD-specific group had difficulties in mathematics but not in reading, and the MD-general group had difficulties in reading as well as in mathematics. A comparison group of nonimpaired children (n = 24) also was included. The findings showed that on both story and number-fact problems, the MD-specific group performed worse than the nonimpaired group in timed conditions but not in untimed conditions. The MD-general group, on the other hand, performed worse than the nonimpaired group, regardless of whether tasks were timed or not. An analysis of children's strategies in untimed conditions showed that both the MD-specific and the MD-general groups relied more on backup strategies than the nonimpaired group. However, children in the MD-specific group executed backup strategies more skillfully than children in the MD-general group, allowing them to achieve parity with children in the nonimpaired group when tasks were not timed. The findings suggest that children with specific MD have circumscribed deficits associated with fact retrieval, whereas children with general MD have more basic delays associated with problem conceptualization and execution of calculation procedures.     

Development of grammatical-sensitivity, phonological, and short-term memory skills in normally achieving and learning disabled children.

The development of a variety of grammatical-sensitivity and phonological skills was studied in 138 normally achieving, 65 reading-disabled, 63 arithmetic-disabled, and 15 attention deficit disordered (hyperactive) children 7 to 14 years old. Word recognition and phonics skills were highly related, and reading comprehension and phonics skills were less so. Grammatical sensitivity and short-term memory were significantly correlated with a variety of reading skills. Children with a reading disability showed a significant lag in the development of grammatical sensitivity and short-term memory and an even greater deficit in phonological skills. The children with a specific arithmetic disability had adequate grammatical abilities, but below-average memory skills at all ages. Children with an attention deficit but normal achievement scores did not have any major difficulties except on a reading-comprehension task that appears to have significant memory and attention components. The acquisition of reading skills is closely related to the development of grammatical and phonological skills, and deficiencies in these areas are related to difficulties with the acquisition of written language skills. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Mathematical disabilities: Cognitive, neuropsychological, and genetic components.

Cognitive, neuropsychological, and genetic correlates of mathematical achievement and mathematical disability (MD) are reviewed in an attempt to identify the core deficits underlying MD in children. Three types of distinct cognitive, neuropsychological, or cognitive and neuropsychological deficits associated with MD are identified. The 1st deficit is manifested by difficulties in the representation or retrieval of arithmetic facts from semantic memory. The 2nd type of deficit is manifested by problems in the execution of arithmetical procedures. The 3rd type involves problems in the visuospatial representation of numerical information. Potential cognitive, neuropsychological, and genetic factors contributing to these deficits and the relationship between MD and reading disabilities are discussed. Finally, suggestions for the subtyping of math disorders are offered. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Late-emerging reading disabilities.

Literacy, language, and cognitive skills were compared for 35 4th-5th graders with early-identified reading disabilities (RD), 31 with late-identified RD (first seen after 3rd grade), and 95 normally achieving students. Late-identified reading deficits were heterogeneous; some children were weak in both comprehension and word-level processing, whereas others had deficiencies in 1 component of reading but were unimpaired in the other. Although most reading skill deficits were about as severe for late- as for early-identified RD, and profiles of associated characteristics were similar, few of the former had yet been identified by their schools. Third-grade achievement, retrospectively examined, had been higher for the group with late-identified RD, suggesting that their reading difficulties were not just late identified but actually late emerging. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Preschool executive functioning abilities predict early mathematics achievement.

Impairments in executive function have been documented in school-age children with mathematical learning difficulties. However, the utility and specificity of preschool executive function abilities in predicting later mathematical achievement are poorly understood. This study examined linkages between children's developing executive function abilities at age 4 and children's subsequent achievement in mathematics at age 6, 1 year after school entry. The study sample consisted of a regionally representative cohort of 104 children followed prospectively from ages 2 to 6 years. At age 4, children completed a battery of executive function tasks that assessed planning, set shifting, and inhibitory control. Teachers completed the preschool version of the Behavior Rating Inventory of Executive Function. Clinical and classroom measures of children's mathematical achievement were collected at age 6. Results showed that children's performance on set shifting, inhibitory control, and general executive behavior measures during the preschool period accounted for substantial variability in children's early mathematical achievement at school. These associations persisted even after individual differences in general cognitive ability and reading achievement were taken into account. Findings suggest that early measures of executive function may be useful in identifying children who may experience difficulties learning mathematical skills and concepts. They also suggest that the scaffolding of these executive skills could potentially be a useful additional component in early mathematics education. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Cognitive predictors of achievement growth in mathematics: A 5-year longitudinal study.

The study's goal was to identify the beginning of 1st grade quantitative competencies that predict mathematics achievement start point and growth through 5th grade. Measures of number, counting, and arithmetic competencies were administered in early 1st grade and used to predict mathematics achievement through 5th (n = 177), while controlling for intelligence, working memory, and processing speed. Multilevel models revealed intelligence and processing speed, and the central executive component of working memory predicted achievement or achievement growth in mathematics and, as a contrast domain, word reading. The phonological loop was uniquely predictive of word reading and the visuospatial sketch pad of mathematics. Early fluency in processing and manipulating numerical set size and Arabic numerals, accurate use of sophisticated counting procedures for solving addition problems, and accuracy in making placements on a mathematical number line were uniquely predictive of mathematics achievement. Use of memory-based processes to solve addition problems predicted mathematics and reading achievement but in different ways. The results identify the early quantitative competencies that uniquely contribute to mathematics learning. (PsycINFO Database Record (c) 2011 APA, all rights reserved)     

Predicting reading and mathematics achievement in fourth-grade children from kindergarten readiness scores.

This study examined age and gender differences in verbal skills and visuomotor skills at kindergarten, in achievement in reading and mathematics at Grade 4, and in the link between skills at kindergarten and later achievement (n?=?281). Older children had higher verbal skills and visuomotor skills than younger children, and girls had higher visuomotor skills and reading achievement than boys. With controls for age, verbal skills uniquely predicted later reading achievement, whereas both verbal skills and visuomotor skills uniquely predicted later mathematics achievement. Readiness in the specific areas of auditory memory and verbal associations predicted later reading achievement, whereas readiness in the specific areas of auditory memory, number skills, and visual discrimination predicted later mathematics achievement. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

The Family Health Project: Psychosocial adjustment of children whose mothers are HIV infected.

The psychosocial adjustment of 87 inner-city African American children 6–11 years old whose mothers were HIV infected was compared with that of 149 children from a similar sociodemographic background whose mothers did not report being HIV infected. Children were not identified as being HIV infected. Mother reports, child reports, and standardized reading achievement scores were used to assess 4 domains of adjustment: externalizing problems, internalizing problems, cognitive competence, and prosocial competence. The results indicated that, on average, children from both groups had elevated levels of behavior problem scores and low reading achievement scores when compared with national averages. Relative to children whose mothers were not infected, those whose mothers were HIV infected were reported to have more difficulties in all domains of psychosocial adjustment. Potential family processes that may explain the findings are discussed. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Reading and arithmetic in adolescents with autism spectrum disorders: Peaks and dips in attainment.

In describing academic attainment in autism spectrum disorders (ASD), results are typically reported at the group mean level. This may mask subgroups of individuals for whom academic achievement is incommensurate with intellectual ability. The authors tested the IQ, literacy, and mathematical abilities of a large group (N = 100) of adolescents (14–16 years old) with ASD. Seventy-three percent of the sample had at least one area of literacy or mathematical achievement that was highly discrepant (approximately 14 standard score points) from full-scale IQ (FSIQ). The authors focused on four subgroups with either word reading (“Reading Peak” and “Reading Dip”) or arithmetic (“Arithmetic Peak” and “Arithmetic Dip”) higher or lower than FSIQ. These subgroups were largely mutually exclusive and were characterized by distinct intellectual profiles. The largest was the “Arithmetic Peak” subgroup of participants, who presented with average intellectual ability alongside superior arithmetic skills and who were predominantly in a mainstream educational setting. Overall, the most pervasive profile was discrepantly poor reading comprehension, which associated with severity of social and communication difficulties. The high rate of uneven academic attainment in ASD has implications for educational practice. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Effect of retention in first grade on children's achievement trajectories over 4 years: A piecewise growth analysis using propensity score matching.

The authors investigated the relatively short-term and longer term effects of grade retention in 1st grade on the growth of mathematics and reading achievement over 4 years. The authors initially identified a large multiethnic sample (n = 784) of children who were below the median in literacy at school entrance. From this sample, the authors closely matched 1 retained with 1 promoted child (n = 97 pairs) on the basis of propensity scores constructed from 72 background variables and compared growth of retained and promoted children using Rasch-modeled W scores and grade standard scores, which facilitate age-based and grade-based comparisons, respectively. When using W scores, retained children experienced a slower increase in both mathematics and reading achievement in the short term but a faster increase in reading achievement in the longer term than did the promoted children. When using grade standard scores, retained children experienced a faster increase in the short term but a faster decrease in the longer term in both mathematics and reading achievement than did promoted children. Some of the retention effects were moderated by limited English language proficiency, home-school relationship, and children's externalizing problems. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

The effects of a voluntary summer reading intervention on reading activities and reading achievement.

The causal effects of a voluntary summer reading intervention on children's reading activities and reading achievement were assessed in a randomized experiment involving 331 children in Grades 1-5. Children were pretested in the spring on a standardized test of reading achievement (Stanford Achievement Test, 10th ed.), on the Elementary Reading Attitudes Survey, and on a reading preference survey. At the end of the school year, children were stratified by their grade level and classroom and were randomly assigned to receive 10 books matched to their reading levels and preferences during summer vacation or after the administration of posttests. Children in the treatment group received books through airmail in July and August. In September, children were readministered the reading test and completed a survey of their summer reading activities. Although the treatment group reported reading more books and participating in more literacy activities than did the control group, there was no significant difference in reading achievement. Recommendations for enhancing the effects of voluntary reading through teacher-directed instruction and for conducting a replication study are discussed. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Teacher–child interactions and children’s achievement trajectories across kindergarten and first grade.

This study examined the extent to which the quality of teacher–child interactions and children’s achievement levels at kindergarten entry were associated with children’s achievement trajectories. Rural students (n = 147) were enrolled in a longitudinal study from kindergarten through first grade. Growth trajectories (initial level and slope) were modeled with hierarchical linear modeling for 3 areas of achievement: word reading, phonological awareness, and mathematics. Cross-classified analyses examined the extent to which quality of teacher–child interactions and children’s starting level predicted achievement growth rates over 2 years, and they also accounted for the changing nesting structure of the data. Results indicated that achievement at kindergarten entry predicted children’s growth for all 3 outcomes. Further, first-grade teachers’ strong emotional support related to greater growth in students’ phonological awareness. Emotional and instructional support in first grade moderated the relationship between initial achievement and growth in word reading. Kindergarten classroom organization moderated the relationship between initial achievement and growth in mathematics. The implications of schooling for early growth trajectories are discussed. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Socioeconomic status differences in preschool phonological sensitivity and first-grade reading achievement.

Two groups of 5-yr-old children whose fathers' occupations differed markedly in education and skill levels were seen in preschool, where they were given tests of performance IQ, receptive vocabulary and grammar, verbal working memory, phonological sensitivity, letter knowledge, and novice reading ability. At the end of 1st Grade, academic achievement was assessed. Marked group differences were observed on most measures. Most differences remained after performance IQ effects were controlled. When general verbal ability effects were controlled, differences in phonological sensitivity and word-level reading and arithmetic achievement remained. When phonological sensitivity effects were also controlled, differences remained only in arithmetic performance. The same general pattern of results was observed in converging hierarchical multiple regression analyses. Overall, the results are consistent with the view that SES differences in word-level reading achievement are mediated partly through preexisting differences in phonological sensitivity. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Exploring processes linking shyness and academic achievement in childhood.

The goal of the current study was to explore the relations between shyness, academic engagement, and academic achievement in childhood. Participants were (n = 125) children (aged 9–13 years) attending public school boards in Canada. Children completed self reports of shyness and were administered a test of nonverbal IQ. Academic achievement was assessed through both teacher ratings and standardized tests of reading comprehension and mathematics. As well, a new teacher-rated measure of academic engagement was created to assess student participation and on-task behavior in the classroom. Among the results, shyness was negatively related to teacher-rated achievement but not related to standardized test scores. Academic engagement was significantly and negatively related to shyness, and positively related to all measures of achievement. Finally, academic engagement partially mediated the relation between shyness and teacher ratings of achievement. These findings suggest that poorer teacher-rated academic performance in shy children may be partially accounted for by a lack of academic engagement in the classroom. Future studies are needed to explore why shy children are less likely to be engaged in the classroom. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Cognitive profiles of difficult-to-remediate and readily remediated poor readers: Early intervention as a vehicle for distinguishing between cognitive and experiential deficits as basic causes of specific reading disability.

Reading impaired first graders were given daily tutoring as a "first cut" diagnostic to aid in distinguishing between reading difficulties caused by basic cognitive deficits and those caused by experiential deficits. Reading achievement in most of these children was found to be within or above the average range after one semester of remediation. Children who were difficult to remediate performed below both children who were readily remediated and normal readers on kindergarten and first-grade tests evaluating phonological skills, but not on tests evaluating visual, semantic and syntactic skills. The results are consistent with convergent findings from previous research suggesting that reading problems in some poor readers may be caused primarily by phonological deficits. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Functional disruption of the brain mechanism for reading: Effects of comorbidity and task difficulty among children with developmental learning problems.

Objective: The study investigated the relative degree and timing of cortical activation associated with phonological decoding in poor readers. Method: Regional brain activity was assessed during performance of a pseudoword reading task and a less demanding, letter-sound naming task by three groups of students: children who experienced reading difficulties without attention problems (N = 50, RD) and nonreading impaired (NI) readers either with (N = 20) or without attention-deficit/hyperactivity disorder (ADHD; N = 50). Recordings were obtained with a whole-head neuromagnetometer, and activation profiles were computed through a minimum norm algorithm. Results: Children with RD showed decreased amplitude of neurophysiological activity in the superior temporal gyrus, bilaterally, and in the left supramarginal and angular gyri during late stages of decoding, compared to typical readers. These effects were restricted to the more demanding pseudoword reading task. No differences were found in degree of activity between NI and ADHD students. Regression analyses provided further support for the crucial role of left hemisphere temporoparietal cortices and the fusiform gyrus for basic reading skills. Conclusions: Results were in agreement with fMRI findings and replicate previous MEG findings with a larger sample, a higher density neuromagnetometer, an overt pseudoword reading task, and a distributed current source-modeling method. (PsycINFO Database Record (c) 2011 APA, all rights reserved)