SES differences in young children’s metacognition in the context of mathematical problem solving

This investigation examines socioeconomic (SES) differences in young children’s development of key aspects of metacognition and related language. The participants were 102 children ranging in age from 4 years 0 months to 5 years 11 months in five daycare centers located in New York City. Metacognitive abilities and language were observed as children engaged in an individually administered clinical interview concerning mathematical problem solving. The results indicate that the ability to describe thinking and explain ideas is stronger in the upper-SES group than the middle- or lower-SES groups. The findings also indicate that all the SES groups, and children of both ages, show little awareness of mistakes and adaptability without adult assistance. The capacity to express thinking was found to increase with age during early childhood. The results suggest that young children begin to employ rudimentary forms of metacognition before the onset of formal schooling. Implications for education are discussed.     

Internalization of children’s problem solving and individual differences in learning

The purpose of this study was to identify qualitative distinctions of six- to seven-year-old children’s learning that could be attributed to differences in their cross-domain levels of internalization of problem-solving activity. Two such distinctions were found: (a) the highest level (symbolic, visual-imagery, or visual-motor) at which the children were able to understand the algorithm for a new problem-solving process; and (b) the highest level (symbolic, visual-imagery, or visual-motor) at which they were able to perform a new problem-solving process after understanding its algorithm. These distinctions were coincident and stable for a particular child and were related to that child’s ability to transfer new knowledge.     

Maternal communicative functions and mind-mindedness at 16 months as predictors of children’s internal and non-internal language at 20 months

The effects of Communicative functions and Mind-Mindedness on children’s language development have been typically investigated in separate studies. The present longitudinal research was therefore designed to yield new insight into the simultaneous impact of these two dimensions of maternal responsiveness on the acquisition of expressive language skills in a sample of 25 mother-child dyads. The frequencies of five communicative functions (Tutorial, Didactic, Conversational, Control and Asynchronous) and two types of mind-related comments (attuned vs. non-attuned) were assessed from a 15-min play session at 16 months. Children’s expressive language was examined at both 16 months (number of word types and tokens produced, and number of words attributed to the child in the Questionnaire for Communication and Early Language development) and 20 months (number of internal and non-internal words attributed to the child in the Italian version of the Mac Arthur-Bates Communicative Development Inventory). The main finding was that mothers’ use of attuned mind-related comments at 16 months predicted internal state language at 20 months, above and beyond the effects of CFs and children’s linguistic ability at 16 months; in addition, mothers’ Tutorial function at 16 months marginally predicted non-internal state language at 20 months, after controlling for MM and children’s linguistic ability at 16 months. These results suggest that different expressions of maternal responsiveness influence distinct aspects of children’s expressive language in the second year of life, although the effects of MM appear to be more robust.     

The roles of different executive functioning skills in young children’s mental computation and applied mathematical problem-solving

This study investigated the relationships of four executive functioning skills (including verbal working memory, spatial working memory, inhibitory control, and cognitive flexibility) with young children’s mental computation and applied mathematical problem-solving. Two hundred and twenty-five Chinese kindergarteners were tested with a battery of general cognitive, executive functioning and mathematics skills. Results showed that when children’s age, gender, non-verbal intelligence, and listening comprehension skills were controlled, verbal working memory and cognitive flexibility were significant correlates of mental computation, whereas verbal working memory, spatial working memory, and cognitive flexibility were significant correlates of applied mathematical problem-solving. Inhibitory control was not significantly associated with the two domains of mathematics under investigation. The findings highlight the differential roles of different executive functioning skills in early mathematical skills and offer practical implication for helping young children in learning complex mathematical skills.     

A computer simulation of children’s arithmetic word-problem solving

ARITHPRO is a computer simulation of children’s arithmetic word-problem solving behavior. It is an instantiation of a recently proposed cognitive model of the knowledge and procedures required to solve such problems. The program solves word problems by (1) comprehending the story text in which the problem is embedded, (2) comprehending numerical information as sets of objects, (3) building superstructures from these sets, thereby specifying their logical relations, and (4) using a counting procedure to derive the answer to the problem. This report describes ARITHPRO and its architecture and knowledge base. A few comparisons of ARITHPRO’s performance with that of children are also provided.     

Object manipulability affects children’s and adults’ conceptual processing

Research on kinds of concepts indicates that children use perceptual and functional information differently to form natural and artifact concepts. Beyond object domain, object manipulability appears to be a decisive factor in adult conceptual processing. Thus, the effect of object manipulability on conceptual processing was tested in 5- and 7-year-olds and adults using a picture matching task. Reaction times for identifying conceptual relations on the basis of perceptual similarity (e.g., jacket-coat) and contextual/functional information (e.g., jacket-hanger) were analyzed according to object manipulability and domain. Both children and adults were faster to identify contextual/functional relations for manipulable than for nonmanipulable objects. Conversely, they were faster to identify perceptual similarity relations for nonmanipulable than for manipulable objects, particularly for natural concepts. Results reveal an early distinction between concepts of manipulable and nonmanipulable objects. Implications for further research on concept formation and for embodied views of concepts are discussed.     

Individual and age-related differences in children’s working memory

The purpose of this study was to investigate the degree to which age-related and individual differences in children’s working memory (WM) are due to a general or task-specific capacity system. Experiment 1 correlated children’s (N=146; age range 5–19 years) verbal and visual-spatial working memory performance with various intelligence and achievement measures. The results supporting a general system were that (1) visual-spatial and verbal WM measures were significantly intercorrelated with and without age partialed out and (2) both verbal and visual-spatial WM measures were significantly correlated with diverse achievement and intelligence measures. Experiment 2 compared three age groups (N=192; 7-, 10-, and 13-year-olds) on working-memory performance tasks under initial, enhanced (cued), and maintenance conditions. The results supporting a general capacity system were that (1) age-related performance differences in WM were found on all conditions and not isolated to specific processes, (2) the maintenance measures (high-load condition) predicted the variance better in age-related performance than process measures, and (3) although individual differences in WM performance reflected two independent operations, these operations produced similar correlations to achievement within age groups. Overall, the results support a general capacity explanation of age-related and individual differences in children’s WM performance.     

An adult model of preschool children’s speech memory

In previous work, it has been demonstrated that phonetic similarity among the items in a spoken list interferes with recall much more in school-aged children than in preschool children. The basis of this developmental change, however, is unclear. In the present study we examined the possibility that a developmental increase in the use of covert verbal rehearsal accounts for the change in the effects of phonetic similarity. Adults who recalled lists of spoken words during articulatory suppression tasks that blocked covert rehearsal were found to display patterns of recall that resembled those ordinarily found in 5-year-old children. The specific aspects of rehearsal responsible for these effects also were investigated.     

Recollection and phantasy: The problem of the truth of memory in Husserl’s phenomenology

The epistemological problem of the truth of memory cannot be resolved without establishing a clear distinction between recollection and phantasy. Husserl’s position in this regard is both paradoxical and compelling. It is paradoxical because Husserl repeats his antiskeptical intention many times; but nevertheless in his phenomenology, recollection and phantasy are almost completely identical. Perhaps no philosopher has so radically approached the experience of remembering and the experience of fantasizing as Husserl. But at the same time, the recognition of this fundamental similarity is precisely what allows the phenomenologist to avoid empiricist misunderstandings and thus approach the problem of the distinction between recollection and phantasy in a much more persuasive way than the traditional one. In this paper, I will first try to show how and why Husserl approaches recollection and phantasy. Then I will try to show how it is possible to establish a clear distinction between these two phenomena without misunderstanding the possibility of false memory.     

Parents’ perceptions of children’s executive functions across different cities

Culture is thought to strongly influence the development of executive functions (EF), such that ethnic groups with similar cultural origins are generally assumed to exhibit comparable levels of EF performance. However, other characteristics, such as urbanization and Westernization, may also affect EF performance in societies comprising different ethnic groups, even if the ethnic groups share a similar cultural origin. The present study aimed to compare the perceptions of parents in three cities [China–Shenzhen (ZH group), China–Hong Kong (HK group), and Singapore (SG group)] regarding the EF performances of their children, all of whom share the same genetic and cultural (i.e., Chinese) origin. The study recruited 95 children aged 5–6 years (ZH group = 32; HK group = 32; SG group = 31). Their parents were invited to complete the Behavior Rating Inventory of Executive Function (BRIEF). The ZH group had significantly lower BRIEF scores compared to both the HK and SG groups. However, the BRIEF scores of the HK and SG groups only differed significantly in terms of the Organization of Materials domain. The results suggest city-related differences in parents’ perceptions of their children’s EF performances, despite their similar genetic and cultural backgrounds. We additionally discuss further interpretations of our results and the limitations of this study.     

Working memory in healthy aging and in Parkinson’s disease: evidence of interference effects

Focusing on relevant information while suppressing the irrelevant one are critical abilities for different cognitive processes. However, their functioning has been scarcely investigated in the working memory (WM) domain, in both healthy and pathological conditions. The present research aimed to study these abilities in aging and Parkinson’s disease (PD), testing three groups of healthy participants (young, older and elderly) and one of PD patients, employing a new experimental paradigm. Results showed that the transient storing of irrelevant information in WM causes substantial interference effects, which were remarkable in elderly individuals on both response latency and accuracy. Interestingly, PD patients responded faster and were equally accurate compared to a matched control group. Taken together, findings confirm the existence of similar mechanisms for orienting attention inwards to WM contents or outwards to perceptual stimuli, and suggest the suitability of our task to assess WM functioning in both healthy aging and PD.     

Working memory span tasks: A methodological review and user’s guide

Working memory (WM) span tasks—and in particular, counting span, operation span, and reading span tasks—are widely used measures of WM capacity. Despite their popularity, however, there has never been a comprehensive analysis of the merits of WM span tasks as measurement tools. Here, we review the genesis of these tasks and discuss how and why they came to be so influential. In so doing, we address the reliability and validity of the tasks, and we consider more technical aspects of the tasks, such as optimal administration and scoring procedures. Finally, we discuss statistical and methodological techniques that have commonly been used in conjunction with WM span tasks, such as latent variable analysis and extreme-groups designs.     

Working memory components that predict word problem solving: Is it merely a function of reading,calculation, and fluid intelligence?

The purpose of this study was to assess whether the differential effects of working memory (WM) components (the central executive, phonological loop, and visual–spatial sketchpad) on math word problem-solving accuracy in children (N?=?413, ages 6–10) are completely mediated by reading, calculation, and fluid intelligence. The results indicated that all three WM components predicted word problem solving in the nonmediated model, but only the storage component of WM yielded a significant direct path to word problem-solving accuracy in the fully mediated model. Fluid intelligence was found to moderate the relationship between WM and word problem solving, whereas reading, calculation, and related skills (naming speed, domain-specific knowledge) completely mediated the influence of the executive system on problem-solving accuracy. Our results are consistent with findings suggesting that storage eliminates the predictive contribution of executive WM to various measures Colom, Rebollo, Abad, & Shih (Memory & Cognition, 34: 158-171, 2006). The findings suggest that the storage component of WM, rather than the executive component, has a direct path to higher-order processing in children.     

Repeated writing facilitates children’s memory for pseudocharacters and foreign letters

In a logographic language culture,repeated (hand)writing is a common memory strategy for learning letters and Chinese characters. The purpose of this paper is to determine whether this strategy facilitates children’s memory for pseudologographic characters and foreign letters. It also explores which aspect of writing, the use of stroke orders or the writing action itself, is responsible for the effect. First, third, and fifth grade Japanese children participated in the study. Results showed that, for all the subjects, characters and letters were better recalled when learned by writing rather than by looking only (Experiments 1 and 4). The advantage of writing was decreased, however, when the proper writing action prevented (i.e., when subjects were instructed to trace or write without feedback; Experiments 3 and 4) but not when the proper stroke orders were prevented (i.e., when subjects were instructed to write in reverse or random orders; Experiment 2). The results indicate that the writing action, rather than the use of stroke orders, is responsible for the effect.     

Perceptions of teacher’s feedback and learning environment as predictors of intrinsic motivation in physical education

Objectives: To investigate whether the perceptions of different domains of the learning environment in physical education, such as perceived teacher feedback, perceived challenge, perceived competitiveness and perceived threat to sense of self, are related to intrinsic motivation.Method: School children (N=783; n=375 boys, n=408 girls) aged 12–15 yrs completed three questionnaires. The physical education learning environment scale (PELES) was used to investigate the perceived threat to sense of self, perceived challenge and perceived competitiveness. The perceptions of the teacher’s feedback (PTF) questionnaire was developed for this study. The construct validity of factor structure of the instrument was confirmed by confirmatory factor analysis (CFA). Students’ intrinsic motivation was assessed by the intrinsic motivation inventory (IMI).Results: For middle school students, the most important predictors of intrinsic motivation were the perceived threat to sense of self, perceived challenge and perceived positive general feedback. Exploratory factor analyses (EFA) and CFA provided evidence of the adequate construct validity for the PTF and confirmed the construct validity for the PELES.Conclusion: Teachers need to create a learning environment that leads students to perceive it as non-threatening and challenging. They should seek to provide positive general feedback to create a more stimulating learning environment.     

Phonological similarity neighborhoods and children’s short-term memory: Typical development and dyslexia

In this article, we explore whether structural characteristics of the phonological lexicon affect serial recall in typically developing and dyslexic children. Recent work has emphasized the importance of long-term phonological representations in supporting short-term memory performance. This occurs via redintegration (reconstruction) processes, which show significant neighborhood density effects in adults. We assessed whether serial recall in children was affected by neighborhood density in word and nonword tasks. Furthermore, we compared dyslexic children with typically developing children of the same age or reading level. Dyslexic children are held to have impaired phonological representations of lexical items. These impaired representations may impair or prevent the use of long-term phonological representations to redintegrate short-term memory traces. We report significant rime neighborhood density effects for serial recall of both words and nonwords, for both dyslexic and typically developing children.     

Coffa’s Kant and the evolution of accounts of mathematical necessity

According to Alberto Coffa in The Semantic Tradition from Kant to Carnap, Kant’s account of mathematical judgment is built on a ‘semantic swamp’. Kant’s primitive semantics led him to appeal to pure intuition in an attempt to explain mathematical necessity. The appeal to pure intuition was, on Coffa’s line, a blunder from which philosophy was forced to spend the next 150 years trying to recover. This dismal assessment of Kant’s contributions to the evolution of accounts of mathematical necessity is fundamentally backward-looking. Coffa’s account of how semantic theories of the a priori evolved out of Kant’s doctrine of pure intuition rightly emphasizes those developments, both scientific and philosophical, that collectively served to undermine the plausibility of Kant’s account. What is missing from Coffa’s story, apart from any recognition of Kant’s semantic innovations, is an attempt to appreciate Kant’s philosophical context and the distinctive perspective from which Kant viewed issues in the philosophy of mathematics. When Kant’s perspective and context are brought out, he can not only be seen to have made a genuinely progressive contribution to the development of accounts of mathematical necessity, but also to be relevant to contemporary issues in the philosophy of mathematics in underappreciated ways.     

Stability and consistency of children’s event recall

The purpose of the study was to investigate consistency of recall across different tasks of event recall (similar to eyewitness tasks) and stability of performance across two different events. Additionally, developmental differences in consistency and stability were explored. 6-, 8-, and 10-year-old children were subsequently shown two different events (videos) and were questioned about each event in two separate interviews. For both videos, performance levels in free recall, unbiased cued recall, and suggestibility were at similar levels, with older children generally outperforming younger children. As to intertask consistency of recall, there were significant correlations between correct free recall and correct unbiased cued recall but not between correct free recall and yielding to suggestive questions. All three measures of eyewitness performance showed significant group stability (test-retest correlations) across the two interviews, regardless of age. However, individual stability (lability) was lower, which points to moderate individual differences in stability across the two interviews. The findings are discussed in terms of underlying cognitive skills and the problem of predicting a single child’s memory performance in real cases of eyewitness testimony.