The relation of bilingual cognitive skills to the second language writing performance of primary grade students.

The purposes of the current study were to examine the effects of cognitive and reading skills (i.e., working memory [WM], oral language development [OLD], and reading skills) on second language (L2) writing performance as well as the changes in these relationships across different grades among Spanish-speaking children learning English. A battery of measures assessing English and Spanish WM, OLD, reading skills, and English writing were administered to 494 English learners in Grades 1 to 3. Path analysis was conducted for each grade separately in both English and Spanish models. The findings indicated that the relationships between English writing performance and English cognitive and reading skills became stronger as the grades increased. However, the relationships between English writing and the Spanish cognitive and reading determinants were mixed, indicating a statistically significant relationship with Spanish WM and reading skills for Grade 2 and 3 students but not with OLD across all grades. Implications for L2 writing development are discussed.

Cognitive processes that underlie mathematically gifted emergent bilinguals.

The purpose of this study was to determine those cognitive measures that increase the likelihood of identifying mathematically gifted students who are emerging bilinguals. Elementary school children (Grades 1, 2, and 3) were administered a battery of math, vocabulary, reading, and cognitive measures (short-term memory, inhibition, and working memory in their first language (L1: Spanish) and second language (L2: English). Multilevel polytomous logistic modeling compared mathematically gifted children with children who were average math achievers or low math achievers. The results indicated that cognitive parameters that included estimation and working memory in the L2 and problem-solving in the L1 were unique predictors that significantly influenced whether a child was categorized as gifted relative to average achievers. Relative to average achievers, L2 parameters (magnitude judgment) and English reading were significantly related to the identification of children with low math computation. The results are discussed in terms of a multidimensional model that taps domain-specific skills and general cognitive processes that increase the ability to correctly identify children who score in the gifted range in both their L1 and L2.

Working memory growth predicts mathematical problem-solving growth among emergent bilingual children.

An area of mathematics found to be difficult for emergent bilingual children whose first language (L1) is Spanish in the United States is solving mathematical word problems. The purpose of this study was to determine the relationship between growth in the executive component of working memory (WM) and growth in mathematical word-problem solving in children whose L1 is Spanish. Elementary school children (Grades 1, 2, and 3) were administered a battery of mathematical, vocabulary, reading, and cognitive measures (short-term memory [STM], inhibition, and WM) in both Spanish (L1) and English (second language [L2]) in Year 1 and again 1 year later. Multilevel growth modeling showed that growth in WM significantly predicted growth in L1 and L2 mathematical word-problem solving. Furthermore, the contributions of WM to mathematical word-problem-solving growth in both L1 and L2 were independent of language skills in vocabulary, reading, estimation, naming speed, inhibition, STM, and calculation. Overall, the results suggest that the mental activities that underlie WM play a significant role in predictions of L1 and L2 mathematical word-problem-solving accuracy.

Individual differences in math problem solving and executive processing among emerging bilingual children.

This study identified cognitive processes that underlie individual differences in working memory (WM) and mathematical problem-solving accuracy in emerging bilingual children (English learners). A battery of tests was administered in both English and Spanish that assessed problem solving, achievement, and cognitive processing in children in first grade (n = 155), second grade (n = 129), and third grade (n = 110). The results were that (a) the executive component of WM predicted solution accuracy of word problems independent of first language and second language measures of vocabulary, reading, domain-specific knowledge (e.g., calculation, estimation), and short-term memory and (b) first language (Spanish) measures of the executive component of WM and magnitude comparisons were major predictors of math problem-solving accuracy in both languages. The results support the notion that the executive system of WM is a unique predictor of emerging bilingual children's math problem-solving accuracy in both languages.

Growth in literacy, cognition, and working memory in English language learners.

This cohort sequential study explored the components of working memory that underlie English reading and language acquisition in elementary school children whose first language is Spanish. To this end, children (N=410) in Grades 1, 2, and 3 at Wave 1 were administered a battery of cognitive (short-term memory [STM], working memory [WM], rapid naming, phonological processing, and random letter and number generation), vocabulary, and reading measures in both Spanish and English. These same measures were administered 1 and 2 years later. The results showed that (a) a three-factor structure (phonological STM, visual-spatial WM, and verbal WM) captured the data within both language systems, (b) growth in both the executive and STM storage components was uniquely related to growth in second language (L2) reading and language acquisition, and (c) the contribution of growth in the executive component of WM to growth in L2 processing was independent of growth in storage, phonological knowledge, inhibition, and rapid naming speed. The results suggested that growth in the phonological storage system does not supersede growth of the executive component of WM as a major contributor to growth in children's L2 reading and language.

Dynamic testing, working memory, and reading comprehension growth in children with reading disabilities.

This longitudinal study assessed (a) whether performance changes in working memory (WM) as a function of dynamic testing were related to growth in reading comprehension and (b) whether WM performance among subgroups of children with reading disabilities (RD; children with RD only, children with both reading and arithmetic deficits, and low verbal IQ readers) varied as a function of dynamic testing. A battery of memory and reading measures was administered to 78 children (11.6 years) across three testing waves spaced 1 year apart. WM tasks were presented under initial and dynamic testing conditions (referred to as gain and maintenance testing). The important results were that (a) WM performance as a function of maintenance testing was a significant moderator of growth in reading comprehension and (b) WM performance of children with RD was statistically comparable within subgroups of RD but inferior to that of skilled readers across all testing conditions. The results support the notion that children's WM performance under dynamic testing conditions was related to the rate of growth in reading comprehension but unrelated to subgroup differences in reading.

A meta-analysis of the RTI literature for children at risk for reading disabilities.

This article synthesizes the literature comparing at-risk children designated as responders and low responders to interventions in reading. The central question addressed in this review is whether individual differences in reading-related skills at pretest predict responders at posttest across a variety of interventions and sets of criteria for determining responding and low responding. A total of 13 studies met criteria for the meta-analysis, yielding 107 weighted effect sizes (ESs) at posttest (M = .76, SE = .03, 95% confidence interval [CI] =.71, .81) and 108 weighted ESs at pretest (M = 1.02, SE = .03, CI = 1.02, 1.13). The results showed that the magnitude of ES between responders and low responders increased from pretest to posttest on measures of reading (e.g., real word identification = 1.06 vs. 1.53, word attack = 1.10 vs. 1.28, and passage comprehension, 0.45 vs. 1.43). Hierarchical linear modeling indicated that overall posttest ESs were significantly moderated by pretest scores as well as the type of measure administered, whereas no significant moderating effects were found for number of weeks of intervention, length of sessions, number of sessions, type of intervention (one-to-one vs. small group instruction), and criteria for defining responders (cutoff, scores, discrepancy, benchmark). Overall, the synthesis suggested that regardless of type of treatment and identification criteria, response-to-intervention (RTI) conditions were not effective in mitigating learner characteristics related to pretest conditions.