The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems.

The purpose of this study was to examine the cognitive correlates of 3rd-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Third graders (N = 312) were measured on language, nonverbal problem solving, concept formation, processing speed, long-term memory, working memory, phonological decoding, and sight word efficiency as well as on arithmetic, algorithmic computation, and arithmetic word problems. Teacher ratings of inattentive behavior also were collected. Path analysis indicated that arithmetic was linked to algorithmic computation and to arithmetic word problems and that inattentive behavior independently predicted all 3 aspects of mathematics performance. Other independent predictors of arithmetic were phonological decoding and processing speed. Other independent predictors of arithmetic word problems were nonverbal problem solving, concept formation, sight word efficiency, and language. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

The Relationship Between Working Memory and Mathematical Problem Solving in Children at Risk and Not at Risk for Serious Math Difficulties.

This study identified cognitive processes that underlie individual differences in working memory (WM) and mathematical problem-solution accuracy in elementary school children at risk and not at risk for serious math difficulties (SMD). A battery of tests was administered that assessed problem solving, achievement, and cognitive processing in children in first (N = 130), second (N = 92) and third grades (N = 131). The results were that (a) younger children and children at risk for SMD performed poorer on WM and problem-solving tasks, as well as measures of math calculation, reading, semantic processing, phonological processing, and inhibition, than older children and children not at risk for SMD and (b) WM predicted solution accuracy of word problems independent of measures of fluid intelligence, reading skill, math skill, knowledge of algorithms, phonological processing, semantic processing,'speed, shortterm memory, and inhibition. The results support the notion that the executive system is an important predictor of children's problem solving. (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)     

Dynamic assessment of algebraic learning in predicting third graders' development of mathematical problem solving.

Dynamic assessment (DA) involves helping students learn a task and indexing responsiveness to that instruction as a measure of learning potential. The purpose of this study was to explore the utility of a DA of algebraic learning in predicting third graders' development of mathematics problem solving. In the fall, 122 third-grade students were assessed on language, nonverbal reasoning, attentive behavior, calculations, word-problem skill, and DA. On the basis of random assignment, students received 16 weeks of validated instruction on word problems or received 16 weeks of conventional instruction on word problems. Then, students were assessed on word-problem measures proximal and distal to instruction. Structural equation measurement models showed that DA measured a distinct dimension of pretreatment ability and that proximal and distal word-problem measures were needed to account for outcome. Structural equation modeling showed that instruction (conventional vs. validated) and pretreatment calculation skills were sufficient to account for math word-problem outcome proximal to instruction; by contrast, language, pretreatment word-problem skill, and DA were needed to forecast learning on word-problem outcomes more distal to instruction. Findings are discussed in terms of responsiveness-to-intervention models for preventing and identifying learning disabilities. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Preschoolers doing arithmetic: The concepts are willing but the working memory is weak.

Presented nonverbal forms of 2- and 3-term arithmetic problems to 48 4-yr-olds to determine (1) the extent to which certain information-processing demands make some problems more difficult than others and (2) whether preschoolers use arithmetic concepts spontaneously when solving novel problems. The results show that children's accuracy on simple arithmetic problems was strongly related to representational set size, the maximum number of units that need to be held in working memory to solve a given problem. Some children also showed spontaneous use of procedures based on the arithmetic principle of inversion when solving problems of the form a?+?b?-?b. It is concluded that these results highlight the importance of identifying information-processing and conceptual characteristics in the early development of mathematical cognition. The 2- and 3-term problems are appended. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Children's Reading Comprehension Ability: Concurrent Prediction by Working Memory, Verbal Ability, and Component Skills.

The authors report data from a longitudinal study that addresses the relations between working memory capacity and reading comprehension skills in children aged 8, 9, and 11 years. At each time point, the authors assessed children's reading ability, vocabulary and verbal skills, performance on 2 working memory assessments (sentence-span and digit working memory), and component skills of comprehension. At each time point, working memory and component skills of comprehension (inference making, comprehension monitoring, story structure knowledge) predicted unique variance in reading comprehension after word reading ability and vocabulary and verbal ability controls. Further analyses revealed that the relations between reading comprehension and both inference making and comprehension monitoring were not wholly mediated by working memory. Rather, these component skills explained their own unique variance in reading comprehension. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Development of the interplay between automatic processes and cognitive resources in reading.

An account was tested of the development of the interplay between automatic processes and cognitive resources in reading. According to compensatory-encoding theory, with advancing skill, readers increasingly keep automatic processes from faltering and provide timely, accurate data to working memory by pausing, looking back, rereading, and compensating in other ways when automatic processes fail. Reading skill profiles (e.g., word naming, semantic access, working memory capacity) were obtained from 71 third graders, 68 fifth graders, and 72 seventh graders from a university lab school or a public school (ages 7 to 15; 146 Caucasians, 61 African Americans, 2 Native Americans, 2 Latino Americans). Children participated in an unrestricted reading task (no time or performance pressure) and were randomly assigned to 1 of 2 levels of 3 experimental manipulations of restriction on reading: time pressure or no pressure, constant reading rate or variable reading rate, read silently or read aloud. Regression analyses revealed that developmental level and restriction moderated the reading skill level-comprehension relationship, and restriction lowered comprehension when it overwhelmed skills, especially for younger readers. Verbally inefficient readers compensated most often, and older readers compensated most efficiently. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Understanding and solving word arithmetic problems.

Presents a processing model that deals explicitly with both the text-comprehension and problem-solving aspects of word arithmetic problems. General principles from a theory of text processing developed by T. A. Van Dijk and the 1st author (1983) are combined with hypotheses by M. S. Riley et al (1983) about semantic knowledge for understanding problem texts in an integrated model of problem comprehension. The model simulates construction of cognitive representations that include information that is appropriate for problem-solving procedures that children use. Several information-processing steps are distinguished, and various levels of representation are described. The model provides an analysis of processing requirements, including requirements for short-term memory that differ among types of problems. Predictions about difficulty of problems based on these processing differences are generally consistent with reported data. (38 ref) (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Word knowledge and working memory as predictors of reading skill.

Three measures of working memory capacity and three measures of word knowledge were used as predictors of three different measures of reading skill. The results demonstrated that the size of a reader's vocabulary and the speed of accessing it are independent of a "depth" measure of word knowledge and that reading comprehension, reading speed, and text inferencing ability are all independent measures of reading skill. A series of regression analyses were conducted to derive a causal model of the three reading performance measures. The results indicated that working memory efficiency during reading was related to comprehension, whereas a more passive working memory capacity measure was related to reading speed. Moreover, text inferencing ability was related only to word knowledge. We conclude that concepts such as "reading skill," "working memory," and "word knowledge" are multidimensional constructs that cannot be captured by a single variable. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Psychological, family, and peer predictors of academic outcomes in first- through fifth-grade children.

This study tested a model that posited that 3 diverse sets of academic outcomes (memory, verbal, and nonverbal aptitudes [N?=?521]; passing proficiency tests in reading and mathematics [N?=?122]; and end-of-year ratings of verbal and mathematical skills by teachers [N?=?159]) for 1st- through 5th-grade children were uniquely determined by psychological (verbal and visual-motor "school readiness" skills at kindergarten, cognitive self-control, and academic self-competence), family (behavioral involvement of an adult family member in the child's schooling), and peer (the average academic performance of members of one's peer group) factors. Verbal readiness skills were uniquely linked to 5 of the 7 academic outcomes. An outcome-specific view of what sets of factors are linked to academic performance was favored in that, of the 5 predictors, only school readiness accounted for unique portions of the variance in aptitudes; only school readiness and cognitive self-control accounted for unique portions of the variance in whether proficiency tests were passed; and only school readiness, cognitive self-control, and the academic performance of one's peer group accounted for unique portions of the variance in end-of-year ratings. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Contribution of equal-sign instruction beyond word-problem tutoring for third-grade students with mathematics difficulty.

Elementary school students often misinterpret the equal sign (=) as an operational rather than a relational symbol. Such misunderstanding is problematic because solving equations with missing numbers may be important for the development of higher order mathematics skills, including solving word problems. Research indicates equal-sign instruction can alter how typically developing students use the equal sign, but no study has been conducted on the effects of such instruction for students with mathematics difficulty (MD) or how equal-sign instruction contributes to word-problem-solving skill for students with or without MD. In the present study, the authors assessed the efficacy of equal-sign instruction within word-problem tutoring. Third-grade students with MD (n = 80) were assigned to word-problem tutoring, word-problem tutoring plus equal-sign instruction (combined) tutoring, or no-tutoring control. Combined tutoring produced greater improvement on equal sign tasks and open equations than did the other 2 conditions. On certain forms of word problems, combined tutoring, but not word-problem tutoring alone, produced more improvement than did the control condition. When compared at posttest with 3rd-grade students without MD on equal-sign tasks and open equations, only combined tutoring students with MD performed comparably. (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)     

Acquisition of a problem-solving skill: Levels of organization and use of working memory.

We examined the acquisition of a problem-solving skill at three levels of organization—strategy, subgoal, and operator—and investigated changes in temporary storage, manipulation of information, and coordination of multiple representations. 6 college students practiced minimizing the simulated cost of solving diagnostic problems with digital electronic circuits for approximately 50 hr (347 problems). Ss were tested on declarative knowledge, inferential skills at the subgoal level, and ability to solve problems during working memory tasks. The working memory tasks required retention of a preload, concurrent processing, or integration of displayed information with the contents of working memory. The data support the view that restructuring is goal sensitive and strategic. The results suggest a multiple-level analysis of skill acquisition in which practice allows strategic restructuring of cognitive processes at 3 levels of organization. Implications for models of skill acquisition and working memory are discussed. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Generality and modifiability of working memory among skilled and less skilled readers.

Investigated whether individual differences in working memory are related to a general system and whether the predictability of working memory to academic achievement is enhanced under dynamic testing conditions. Exp 1 correlated 11 working memory tasks with short-term memory and achievement measures. Convergent and discriminant validity for the working memory measures was established. Although a confirmatory factor analysis supported the notion that the working memory tasks reflect 2 operations, these operations produced similar correlational patterns to achievement. Exp 2 supported a 2-factor model under dynamic testing procedures, and those procedures contribute significant variance to reading performance. Overall, the results suggest that (1) working memory operates as a general system independent of reading skill and (2) dynamic testing procedures enhance the prediction of reading performance. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Development and validation of the Multidimensional Health Profile. Part I: Psychosocial functioning.

This article describes the development and preliminary validation of the Multidimensional Health Profile, Part I: Psychosocial Functioning (MHP-P), a self-report screening instrument for use in mental health and primary care settings. The MHP-P assesses mental health, life stress, coping skills, and social resources. In Study 1, retest reliability, validity, social desirability response bias, and factor structure were examined in a national sample of men and women (N?=?673). In Study 2, the effect of time frame on the retest reliability of the mental health scales was examined in a sample of male and female college students (N?=?147). A national sample of men and women (N?=?2,411) provided data for additional confirmatory factor analyses and norm development in Study 3. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Korean-English biliteracy acquisition: Cross-language phonological and orthographic transfer.

Cross-language phonological and orthographic relationship in the biliteracy acquisition of children learning to read Korean and English was investigated in this study. Forty-five Korean-English bilingual children were tested in first-language (L1; Korean) and 2nd-language (L2; English) reading skills focusing on 2 reading processes--phonological and orthographic processing. The authors found that phonological skills in L1 and L2 were strongly correlated, and Korean phonological skills explained a unique amount of variance in English pseudoword reading beyond English phonological and orthographic skills. However, there was limited orthographic skill transfer between the 2 systems. Results are discussed within the framework of universal phonological processes in learning to read. The authors conclude that bilingual reading acquisition may be a joint function of general phonological processes and orthographic-specific skills. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Practice schedules and the use of component skills in problem solving.

In motor and verbal learning, random practice schedules produce poorer acquisition performance but superior retention relative to blocked practice. We extend this contextual interference effect to the case of learning cognitive procedural skills to be used in problem solving. Subjects in three experiments practiced calculation with Boolean functions. After this acquisition phase, subjects solved problems requiring these procedures. Experiments 1 and 2 demonstrated superior transfer to problem solving for skills acquired under random schedules. In Experiment 3, subjects practiced component skills in a blocked schedule, with one of four tasks—same–different judgment, mental arithmetic, short-term memory, or long-term memory—intervening between trials. For same–different judgments and mental arithmetic, transfer performance was comparable to that found for random schedules in Experiments 1 and 2. This result suggests that the differences depend on processing rather than storage demands of intertrial activity. Implications for theories of problem solving and part–whole transfer are discussed. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Where is the hierarchy of academic self-concept?

The hierarchy of academic self-concept (SC) was examined in 4 studies. In Study 1, a higher order artistic SC factor represented teacher education students' (N?=?298) SCs in 4 art areas. In Study 2, high school students' (N?=?197) perceptions in speaking, reading, and writing in English and in language other than English formed 2 distinct higher order factors showing the domain specificity of their SCs in respective language areas. In Study 3, university students' (N?=?309) SCs in speaking, reading, and writing English as a second language formed a higher order English SC factor that was not distinguishable from an independent global English SC measure. In Study 4, responses of students in a school of commerce (N?=?211) to SC items in accounting, math, economics, English, and Chinese formed a higher order factor that was not distinguishable from a global academic SC measure. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Are IQ scores valid for children who are poor readers?

Remedial services for children with reading problems are often allocated according to discrepancies between reading and IQ scores. Results of some recent research suggest, however, that IQ scores of poor readers do not covary with their levels of functioning in other cognitive domains. This study evaluated whether the external validity of IQ scores (from the Wechsler Intelligence Scale for Children—Revised [WAIS—R]) was moderated by reading levels within 2 separate samples of a total of 382 referred children (aged 7–16 yrs). It was found that IQ scores had expected correlations with external measures of verbal, visual-spatial, short-term memory, and arithmetic ability, and that these relations were invariant across levels of reading skill. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

The role of processing strategies in the acquisition and transfer of a cognitive skill.

How the difficulty of initial training influences the acquisition and transfer of strategic processing skills and memory for processed stimuli was examined in 3 experiments. Participants were asked to discriminate between similar or dissimilar random polygon stimuli. Participants were asked to discriminate between novel transfer polygons; this was followed by a recognition memory task. Results suggest that the difficulty of initial training influences strategic skill acquisition. Strategies acquired during training are applied at transfer regardless of their effectiveness for processing transfer stimuli. This is true even when participants are given feedback indicating that their processing strategy is ineffective. It is argued that skill acquisition is influenced by the acquisition of both stimulus-specific knowledge and strategic skills, and that the strategic skills acquired serve to optimize processing. (PsycINFO Database Record (c) 2010 APA, all rights reserved)