Growth in working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties.

The influence of cognitive growth in working memory (WM) on mathematical problem solution accuracy was examined in elementary school children (N = 353) at risk and not at risk for serious math problem solving difficulties. A battery of tests was administered that assessed problem solving, achievement, and cognitive processing (WM, inhibition, naming speed, phonological coding) in children in 1st, 2nd, and 3rd grade across 3 testing waves. The results were that (a) children identified as at risk for serious math problem solving difficulties in Wave 1 showed less growth rate and lower levels of performance on cognitive measures than did children not at risk; (b) fluid intelligence and 2 components of WM (central executive, visual-spatial sketchpad) in Wave 1 (Year 1) predicted Wave 3 word problem solving solution accuracy; and (c) growth in the central executive and phonological storage component of WM was related to growth in solution accuracy. The results support the notion that growth in WM is an important predictor of children's problem solving beyond the contribution of reading, calculation skills, and individual differences in phonological processing, inhibition, and processing speed. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Distributing working memory resources during problem solving.

This study examines how problem solvers distribute working memory demands over internal and external resources. Participants recorded notes while performing an arithmetic task. They recorded a majority of intermediate results and labeled many of those results (e.g., "C?=?10"). When more effort was required to take notes, participants recorded fewer results. Participants with a consistent goal structure recorded fewer results and with practice labeled fewer recorded results than those with varied goal structures. When notes were displayed in a consistent spatial arrangement participants labeled fewer recorded results than when notes appeared in varied locations. These findings indicate that individuals use explicit and implicit strategies for indexing intermediate results. The data support the view that individuals flexibly distribute working memory over internal and external resources in response to situational cost-benefit considerations. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Cross-sectional and incremental changes in working memory and mathematical problem solving.

Cross-sectional and incremental age effects on cognitive processes that underlie individual differences in components of working memory (WM; phonological loop, visual-spatial sketchpad, executive processing) and mathematical problem-solving accuracy were examined in elementary schoolchildren. A battery of tests was administered that assessed problem solving, achievement, memory, and cognitive processing (inhibition, speed, phonological coding) in children in Grades 1, 2, and 3 (Wave 1) and 1 year later (Wave 2). The results showed that (a) 31% of the explainable within-person changes across testing waves and 42% of the age-related differences in word problem-solving accuracy were related to executive processing and (b) executive processing and reading performance in Year 1 were the only variables that contributed unique variance to Year 2 problem-solving performance. The results support the notion that growth in the executive system is an important predictor of children's problem solving abilities beyond the contribution of reading and calculation skills and that growth in executive processing can operate independently of individual differences in phonological processing, inhibition, and processing speed. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

A comparison of single and multiple strategy instruction on third-grade students' mathematical problem solving.

The purposes of this study were to assess the differential effects of a single strategy (schema-based instruction; SBI) versus multiple strategies (general strategy instruction, GSI) in promoting mathematical problem solving and mathematics achievement as well as to examine the influence of word problem-solving instruction on the development of computational skills. Eighty-eight 3rd graders and their teachers were assigned randomly to conditions (SBI and GSI). Students were pre- and posttested on mathematical problem-solving and computation tests and were posttested on the Pennsylvania System of School Assessment Mathematics test, a criterion-referenced test that measures student attainment of academic standards. Results revealed SBI to be more effective than GSI in enhancing students' mathematical word problem-solving skills at posttest and maintenance. Further, results indicate that the SBI groups' performance exceeded that of the GSI group on the Pennsylvania System of School Assessment measure. On the computation test, both groups made gains over time. (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)     

Developmental change in working memory strategies: From passive maintenance to active refreshing.

Change in strategies is often mentioned as a source of memory development. However, though performance in working memory tasks steadily improves during childhood, theories differ in linking this development to strategy changes. Whereas some theories, such as the time-based resource-sharing model, invoke the age-related increase in use and efficiency of a strategy of active maintenance of memory traces, other theories, such as the task-switching model, do not mention strategy change. According to these models, either the cognitive load of the task or the duration of maintenance would account for recall performance. In the present study, we varied orthogonally these 2 factors. The results revealed that a different and unique factor affected recall performance at different ages: the duration of maintenance at age 6 and the cognitive load at age 7. As described by the task-switching model, younger children would not implement any maintenance activities while performing a concurrent task, their memory traces suffering from a time-based decay. This suggests that an increasing capacity of cognitive monitoring allows children to shift from this passive maintenance of memory traces to the active refreshing thereof at around the age of 7, reunifying the 2 current accounts of working memory development as 2 developmental stages. (PsycINFO Database Record (c) 2011 APA, all rights reserved)     

Explicitly teaching for transfer: Effects on third-grade students' mathematical problem solving.

The purpose of this study was to assess the effects of explicitly teaching for transfer by (a) broadening the categories by which students group problems requiring the same solution methods and (b) prompting students to search novel problems for these broad categories. This transfer treatment was combined with instruction on solution methods. The effectiveness of a combined treatment (transfer-plus-solution instruction) was contrasted to solution instruction alone and to teacher-designed instruction. Twenty-four 3rd-grade teachers, with 375 students, were assigned randomly to conditions. Treatments were conducted for 16 weeks. Improvement on immediate- and near-transfer measures supported the utility of solution instruction. Improvement on near- and far-transfer measures revealed the added contribution of explicitly teaching for transfer. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

The relationships of working memory, secondary memory, and general fluid intelligence: Working memory is special.

Recent efforts have been made to elucidate the commonly observed link between working memory and reasoning ability. The results have been inconsistent, with some work suggesting that the emphasis placed on retrieval from secondary memory by working memory tests is the driving force behind this association (Mogle, Lovett, Stawski, & Sliwinski, 2008), whereas other research suggests retrieval from secondary memory is only partly responsible for the observed link between working memory and reasoning (Unsworth & Engle, 2006, 2007). In the present study, we investigated the relationship between processing speed, working memory, secondary memory, primary memory, and fluid intelligence. Although our findings show that all constructs are significantly correlated with fluid intelligence, working memory—but not secondary memory—accounts for significant unique variance in fluid intelligence. Our data support predictions made by Unsworth and Engle (2006, 2007) and suggest that the combined need for maintenance and retrieval processes present in working memory tests makes them special in their prediction of higher order cognition. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Dogmatism and anxiety in relation to problem solving: An extension of Rokeach's results.

"This study involved a replication and extension of some of Rokeach's work on the relation of Dogmatism (D) and Anxiety (A) to performance in a problem solving task… . Consistent with previous results, Ss with very high D scores performed more poorly on the… problem… and a significant positive relation… was found between D scores and A scores… . A scores were unrelated to performance on [this]… task." From Psyc Abstracts 36:04:4HK12F. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Personality, problem solving, and the Einstellung effect.

2 hypotheses were raised in this experiment: (a) Ss who show antiscientific or nondynamic tendencies in their perceptions of behavior are more subject to the Einstellung effect; and (b) when achievement anxiety is aroused this relationship is more pronounced. 2 groups of 31 Ss each were given 2 Einstellung-test problem series. For one group standard testing conditions were employed; for the other, achievement anxiety was aroused. Ss were evaluated for dynamic-nondynamic perceptions of others, a measure derived from a modification of Kelly's Role Construct Repertory Test. This measure was not found to be related to Einstellung-test scores, but a significant relationship to achievement anxiety was obtained. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Sex differences, sex composition, and group problem solving.

Males and females solved Maier's (1952) horse trading problem while working alone or in groups. Men tended to solve the problem better individually but also to profit from group discussion. Women in mixed groups seemed better motivated to solve the problem than those in groups composed of all females. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Thinking can cause forgetting: Memory dynamics in creative problem solving.

Research on retrieval-induced forgetting has shown that retrieval can cause the forgetting of related or competing items in memory (Anderson, Bjork, & Bjork, 1994). In the present research, we examined whether an analogous phenomenon occurs in the context of creative problem solving. Using the Remote Associates Test (RAT; Mednick, 1962), we found that attempting to generate a novel common associate to 3 cue words caused the forgetting of other strong associates related to those cue words. This problem-solving-induced forgetting effect occurred even when participants failed to generate a viable solution, increased in magnitude when participants spent additional time problem solving, and was positively correlated with problem-solving success on a separate set of RAT problems. These results implicate a role for forgetting in overcoming fixation in creative problem solving. (PsycINFO Database Record (c) 2011 APA, all rights reserved)     

The relationships among working memory, math anxiety, and performance.

Individuals with high math anxiety demonstrated smaller working memory spans, especially when assessed with a computation-based span task. This reduced working memory capacity led to a pronounced increase in reaction time and errors when mental addition was performed concurrently with a memory load task. The effects of the reduction also generalized to a working memory-intensive transformation task. Overall, the results demonstrated that an individual difference variable, math anxiety, affects on-line performance in math-related tasks and that this effect is a transitory disruption of working memory. The authors consider a possible mechanism underlying this effect—disruption of central executive processes—and suggest that individual difference variables like math anxiety deserve greater empirical attention, especially on assessments of working memory capacity and functioning. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Prenatal psychosocial stress exposure is associated with subsequent working memory performance in young women.

The aim of the present study was to examine the association between prenatal psychosocial stress exposure and subsequent prefrontal cortex-dependent working memory performance in human adults. Working memory performance was assessed using an item-recognition task under 10 mg hydrocortisone (cortisol) and placebo conditions in a sample of 32 healthy young women (mean age = 25 ± 4.34 years) whose mothers experienced a major negative life event during their pregnancy (Prenatal Stress, PS group), and in a comparison group of 27 healthy young women (mean age = 24 ± 3.4 years). The two groups did not differ in the placebo condition, however, subjects in the PS group showed longer reaction times after hydrocortisone administration compared with subjects in the comparison group (p = .02). These findings provide support for an association between prenatal stress exposure and the potential modulatory effect of cortisol on working memory performance in young adults, which may reflect compromised development of the prefrontal cortex in prenatal life. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Working memory capacity and go/no-go task performance: Selective effects of updating, maintenance, and inhibition.

The ability to temporarily maintain information in order to successfully perform a task is important in many daily activities. However, the ability to quickly and accurately update existing mental representations in distracting situations is also imperative in many of these same circumstances. In the current studies, individuals varying in working memory capacity (WMC) performed different varieties of go/no-go tasks that have been hypothesized to measure inhibitory ability. The results indicated that low-WMC individuals relative to high-WMC individuals showed worse performance specifically in certain conditions of the conditional go/no-go task. Further analyses showed that increasing the temporal lag/number of intervening items between the previous target and the current lure had a deleterious effect on the performance of the low-WMC group only. The results indicate a relationship between WMC and the ability to selectively update, maintain, and retrieve information, especially in interference-rich conditions. (PsycINFO Database Record (c) 2011 APA, all rights reserved)     

Working memory and aging: Separating the effects of content and context.

In 3 experiments, we investigated the hypothesis that age-related differences in working memory might be due to the inability to bind content with context. Participants were required to find a repeating stimulus within a single series (no context memory required) or within multiple series (necessitating memory for context). Response time and accuracy were examined in 2 task domains: verbal and visuospatial. Binding content with context led to longer processing time and poorer accuracy in both age groups, even when working memory load was held constant. Although older adults were overall slower and less accurate than young adults, the need for context memory did not differentially affect their performance. It is therefore unlikely that age differences in working memory are due to specific age-related problems with content-with-context binding. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Expanding the conceptualization and measurement of applied problem solving and coping: From stages to dimensions to the almost forgotten cultural context.

The purpose of this article is to suggest an expansion of the conceptualizations and measurement of applied problem solving and, relatedly, coping. The author discusses the evolution of his programmatic line of research over the last 30 years to illustrate the changing landscape in applied problem solving and, to a lesser extent, in the coping literature. Developments from the early stage-sequential models of applied problem solving to the utility of combining major dimensions of applied problem solving and coping are discussed, as are the notion of problem resolution as a way of assessing consequences of coping, and finally, the use of East Asian cultural values to assess collectivistic coping styles. The overlooked and until recently almost forgotten role of culture in the evolution of these general domains of inquiry is highlighted. The author concludes that greater attention to the cultural context will expand psychology's theoretical models, greatly enhance our empirically based understanding of applied problem solving/coping, and promote our ability to enhance effective problem solving and coping around the world. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Introduction to the special section: Working memory and neuropsychology—Interdependence of clinical and experimental research.

Memory processes and memory disorders are perhaps the most heavily studied areas in neuropsychology. One consequence of this is that a great deal of attention has focused on the theoretical and clinical aspects of memory, and many different conceptual viewpoints have arisen. In 1974, A. Baddeley and G. Hitch described a model system, working memory, that was developed to account for a variety of data concerning human short-term memory. The emphasis in the model was the notion that short-term memory could be active—could do work—and thus contribute to the processing of information to be remembered. The model has evolved during the intervening 20 years, and it has increasing importance for understanding normal memory, memory loss, and other cognitive operations. The purpose of this Special Section of Neuropsychology is to present a series of articles describing the contributions of the working memory model to neuropsychology and to elucidate how neuropsychological studies have led to direct tests of the model's tenets. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Everyday memory compensation: The impact of cognitive reserve, subjective memory, and stress.

To determine the potential importance of several unexplored covariates of everyday memory compensation, the authors examined relations between responses on the Memory Compensation Questionnaire (a self-report measure of everyday memory compensation) and cognitive reserve (education and verbal IQ), subjective memory, and life stress in 66 older adults (mean age = 70.55 years). Key results indicated that compensation occurred in people (a) whose IQ level was greater than their education level (representing cognitive reserve “discordance”) but not in people whose IQ was commensurate with their education (representing cognitive reserve “concordance”); (b) who had greater perceived memory errors; and (c) who experienced heightened stress. Further, high-stress older adults compensated whether perceived memory errors were low or high, but low-stress older adults compensated only if they perceived high memory errors. Bootstrapped confidence intervals around model betas provided further support for estimate reliability. These results suggest boundary conditions for the concept of cognitive reserve, and highlight the importance of subjective memory and life stress for defining contexts in which compensation may occur. (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)