Stability and change in children's division strategies

Age-related changes in children's performance on simple division problems (e.g., 6/2, 72/9) were investigated by asking children in Grades 4 through 7 to solve 32 simple division problems. Differences in performance were found across grade, with younger children performing more slowly and less accurately than older children. Problem size effects were also found in that children were faster and more accurate on small problems than on large problems. Two strategies changed across age, with children in Grade 4 relying heavily on the strategy of "addition" (adding the divisor until the dividend was reached) to solve the problems and children in Grades 5 through 7 relying primarily on the strategy of "multiplication" (recasting the division problem as a multiplication problem) to solve the problems. Surprisingly, the frequency of direct retrieval (retrieving the answer directly from memory) did not increase across grade and never became the dominant strategy of choice. Reasons for why retrieval use remains infrequent and age invariant are discussed. Overall, the results suggest that division is a unique operation and that the continued study of division may have implications for further understanding of how procedural and conceptual knowledge of arithmetic develops.     

Stability and skill in driving

Two experiments addressed the relation between postural stability, perceptual sensitivity, and stability of driving performance. A vehicle was fitted with differential GPS for measuring position and speed, position sensors for measuring brake and accelerator depression, force transducers for measuring door, console and footrest bracing forces, and an accelerometer for measuring the 3D accelerations of the vehicle. In Experiment 1, we investigated whether the initiation of deceleration and the control of braking might be due to sensitivity to the perceptual variable tau, which specifies time-to-contact (TTC), and in particular, whether its first derivative, tau-dot, is used to maintain a constant deceleration profile. Using both untrained experienced drivers (EDs) and trained driving instructors from the Holden Performance Driving Centre (HPDC), results confirmed that, regardless of skill level, tau-dot was maintained at a value close to 0.5 and, as predicted by Lee [Perception 5 (1976) 437], braking was initiated when TTC approximately 5 s. In Experiment 2, we wished to quantify the purported differences in driving behaviour between EDs and HPDC instructors during a variety of everyday manoeuvres. Results indicated that instructors utilised a different cornering trajectory, a different emergency braking strategy, and were able to perform a high-speed swerve and recovery task more effectively than the EDs. In general, the instructors applied greater bracing forces using the door and console compared with EDs. The instructors also applied greater footrest forces during emergency braking than did the EDs. The greater use of bracing by instructor drivers to resist g-forces represents a strategy of active stabilisation that enhances both postural stability, as well as overall stability and consistency of driving performance. Results are discussed with regard to the dynamics of perceptual-motor coordination, and how increased stability might improve sensitivity to relevant perceptual information. We conclude that driver-training programmes that focus on increasing driver stability (as a pre-requisite for increased control) show great promise as a means to improving one's attention during driving, and hence have the potential to dramatically improve road safety in general.     

Individual differences in children's understanding of inversion and arithmetical skill

Background and aims. In order to develop arithmetic expertise, children must understand arithmetic principles, such as the inverse relationship between addition and subtraction, in addition to learning calculation skills. We report two experiments that investigate children's understanding of the principle of inversion and the relationship between their conceptual understanding and arithmetical skills. Sample. A group of 127 children from primary schools took part in the study. The children were from 2 age groups (6–7 and 8–9 years). Methods. Children's accuracy on inverse and control problems in a variety of presentation formats and in canonical and non‐canonical forms was measured. Tests of general arithmetic ability were also administered. Results. Children consistently performed better on inverse than control problems, which indicates that they could make use of the inverse principle. Presentation format affected performance: picture presentation allowed children to apply their conceptual understanding flexibly regardless of the problem type, while word problems restricted their ability to use their conceptual knowledge. Cluster analyses revealed three subgroups with different profiles of conceptual understanding and arithmetical skill. Children in the ‘high ability’ and ‘low ability’ groups showed conceptual understanding that was in‐line with their arithmetical skill, whilst a 3rd group of children had more advanced conceptual understanding than arithmetical skill. Conclusions. The three subgroups may represent different points along a single developmental path or distinct developmental paths. The discovery of the existence of the three groups has important consequences for education. It demonstrates the importance of considering the pattern of individual children's conceptual understanding and problem‐solving skills.     

The role of perseveration in children's symbolic understanding and skill

In the first few years of life, children become increasingly sensitive to the significance of a variety of symbolic artifacts. An extensive body of research has explored very young children's ability to use symbol‐based information as a guide to current reality. In one common task, for example, children watch as a miniature toy is hidden in a scale model, and are then asked to retrieve a larger version of the toy from the corresponding place in the room itself. Two‐and‐a‐half‐year‐old children perform very poorly in most versions of this task. Their most common error is to perseverate; that is, they search again at the location where the toy was last hidden. Two studies examined the degree to which 2¹/₂‐year‐olds’ high rate of perseveration and poor performance stem from problems with inhibitory control. Results showed that problems with inhibitory control contribute very little to 2¹/₂‐year‐old children's difficulty with the task. Instead, the results confirm young children's great difficulty appreciating and exploiting symbol–referent relations.     

Sport stacking activities in school children's motor skill development

This study examined the impact of a 12-wk. sport stacking intervention on reaction time (RT), manual dexterity, and hand-eye coordination in elementary school-aged children. 80 Grade 2 students participated in a 15-min. sport stacking practice session every school day for 12 wk., and were tested on psychomotor performance improvement. Tests for choice RT, manual dexterity, and photoelectric rotary pursuit tracking were conducted pre- and post-intervention for both experimental group (n = 36) and the controls (n = 44) who did no sport stacking. Students who had the intervention showed a greater improvement in two-choice RT. No other group difference was found. Such sport stacking activities may facilitate children's central processing and perceptual-motor integration.     

Representational change and children's numerical estimation

We applied overlapping waves theory and microgenetic methods to examine how children improve their estimation proficiency, and in particular how they shift from reliance on immature to mature representations of numerical magnitude. We also tested the theoretical prediction that feedback on problems on which the discrepancy between two representations is greatest will cause the greatest representational change. Second graders who initially were assessed as relying on an immature representation were presented feedback that varied in degree of discrepancy between the predictions of the mature and immature representations. The most discrepant feedback produced the greatest representational change. The change was strikingly abrupt, often occurring after a single feedback trial, and impressively broad, affecting estimates over the entire range of numbers from 0 to 1000. The findings indicated that cognitive change can occur at the level of an entire representation, rather than always involving a sequence of local repairs.     

Stability of young children's attachment representations: Influence of children's and caregiver's characteristics

This research explores the stability of attachment representations, assessed by the Attachment Story Completion Task, within early childhood. Hypotheses were also formed about the influence of parenting, externalizing behavior and intelligence quotient (IQ) on the developmental course of children's attachment representations. Data were collected from 358 French-speaking Belgian children. Security and disorganization showed a linear improvement with age. The effect of time on the two growth curves was influenced by the child's externalizing behavior. When language abilities were controlled for in a subsample of referred children for externalizing behavior, the growth in security was found to be influenced by reasoning IQ, but the effects for disorganization were unchanged. The implications of the results for both research and clinical purposes are discussed.     

Stability of aggressive behaviors and children's peer relationships

The present research longitudinally evaluated the association of group and dyadic peer relation factors to the stability of aggression. Beginning in grades 2 through 5, children (N = 212) completed peer nominations for aggressive behaviors, sociometric ratings, sociometric nominations (like most and like least), and friendship nominations for 2 successive years. Children were classified into four Stability of Aggression Groups: Never Aggressive, Stable Aggressive, Discontinued Aggression, Became Aggressive. Aggressive children were evaluated as more disliked at each time of testing (i.e., Stable Aggressive and Discontinued Aggression at Time 1; Stable Aggressive and Became Aggressive at Time 2). Furthermore, sociometric ratings of children at Time 1 who became aggressive by Time 2 foreshadowed this transition. Children who discontinued aggressive behaviors were friends with children who were evaluated by peers as significantly less aggressive than the friends of children who continued aggressive behaviors. These findings suggest that early identification of children at risk for developing aggressive behavior may be possible through group‐level peer evaluations, and identification of those at risk for continuing aggressive behavior may be possible through the evaluation of special dyadic friendships. Aggr. Behav. 26:277–290, 2000. © 2000 Wiley‐Liss, Inc.     

Teachers' and mothers' assessment of children's behaviors from kindergarten to grade two: Stability and change within and across informants

Consistency between teachers' and parents' ratings of 229 children's prosocial and problem behaviors was investigated from kindergarten through grade two. Intrarater stability was also analyzed. Results indicated moderate but decreasing interrater agreement from kindergarten to grade two for boys on externalizing behaviors. Interrater agreement for the same behavior dimension for girls was moderate and stable, whereas it was low on internalizing behavior problems and prosocial behaviors, for both genders throughout the 3-year period. Moreover, difference between teachers' and parents' ratings of externalizing behaviors increased from kindergarten to grade two. Decreasing level of agreement through time appeared to be related to a reduction of teacher-rated externalizing behaviors not paralleled by a reduction in parent ratings. Analyses were also performed at the item level of the externalization scale to identify which specific behaviors were responsible for the increasing divergence in interrater agreement from kindergarten through grade two. Alternative interpretations were considered in order to account for present and past results. Implications for screening and assessment purposes were discussed.This research was supported by grants from the Social Sciences and Humanities Research Council of Canada and from Québec's Health Research Fund (FRSQ). We wish to thank the authorities and directors of the schools from the Val d'Or School Board as well as the kindergarten, first and second grade teachers, children, and parents for their collaboration. We also thank Lyse Desmarais-Gervais, Daniel Corriveau, Jean Desrosiers and Hélène Boileau for their participation in the data collection or analysis.     

Rigidity in children's drawings and its relation with representational change

Four studies tested the application of to the drawing domain. In particular, we tested her claim that young children are inhibited in their attempts at changing their graphic representations (representational change) due to being constrained by the order in which the elements of the representation are drawn (procedural rigidity). The first study required 60 children (4- to 6-year-olds and an older comparison group of 8-year-olds) to make three drawings of a familiar and novel topic. From these drawings each child was measured for procedural rigidity. In a further drawing the child was asked to modify their usual representation of each topic. Regression analyses revealed procedural rigidity levels were not predictive of manipulation performance. A second study, testing 75 4- to 6-year-olds and a third study, testing 30 3- to 4-year-olds, revealed that when young children were specifically asked to manipulate rigid sub-procedures on a familiar topic they were indeed able to do so. Finally, a fourth study (testing 40 5-year-olds and 40 8-year-olds) removed the notational trace in drawing (a possible aid for procedural interruption) but this still produced no evidence of a relation between procedural rigidity and representational change. We suggest how the concept of procedural rigidity might be re-interpreted for the drawing domain so that the RR model can remain as a domain-general theory of cognitive development. We also suggest the development of information processing may be crucial for flexibility in drawing.     

Experimentally manipulated change in children's proactive and reactive aggressive behavior

The current study assessed the effectiveness of two behavior manipulations created to differentially lower aggressive responses in a laboratory task. It was hypothesized that the reactive anger manipulation would have the greatest effect for reactive aggressive behavior and the instrumental manipulation would significantly affect proactive aggressive behavior and slightly affect the reactive behavior. Fifty participants played pinball in competition for points against an unknown peer, whose responses were actually controlled by the experimenter. Participants could push a noise button, sending the peer an annoying noise; a tilt button, interfering with the opponent's game; or a no answer button, offering a pro‐social alternative to aggression. After playing four rounds, participants were randomly assigned to either a reactive anger or a positive instrumental manipulation group; they then played pinball again for four rounds. Results indicate that the instrumental manipulation significantly lowered aggressive responses for both reactive and proactive behavior. The reactive manipulation effected aggressive responses only for use of the noise button and produced significantly lower levels of anger. Aggr. Behav. 29:215–227, 2003. © 2003 Wiley‐Liss, Inc.     

Continuity and change in children's longitudinal neural responses to numbers

Human children possess the ability to approximate numerical quantity nonverbally from a young age. Over the course of early childhood, children develop increasingly precise representations of numerical values, including a symbolic number system that allows them to conceive of numerical information as Arabic numerals or number words. Functional brain imaging studies of adults report that activity in bilateral regions of the intraparietal sulcus (IPS) represents a key neural correlate of numerical cognition. Developmental neuroimaging studies indicate that the right IPS develops its number‐related neural response profile more rapidly than the left IPS during early childhood. One prediction that can be derived from previous findings is that there is longitudinal continuity in the number‐related neural responses of the right IPS over development while the development of the left IPS depends on the acquisition of numerical skills. We tested this hypothesis using fMRI in a longitudinal design with children ages 4 to 9. We found that neural responses in the right IPS are correlated over a 1–2‐year period in young children whereas left IPS responses change systematically as a function of children's numerical discrimination acuity. The data are consistent with the hypothesis that functional properties of the right IPS in numerical processing are stable over early childhood whereas the functions of the left IPS are dynamically modulated by the development of numerical skills.     

Stability and change in temperament during adolescence

This study assessed genetic and environmental contributions to temperament during adolescence within the Nonshared Environment and Adolescent Development project (NEAD; D. Reiss, J. M. Neiderhiser, E. M. Hetherington, & R. Plomin, 2000). NEAD is a national study that includes twins and other sibling types who vary in regard to genetic relatedness. Seven hundred twenty sibling pairs (aged 12.1-13.5 years) participated at Time 1, and 395 sibling pairs (aged 14.7-16.2 years) participated again at Time 2. At both Times, mothers and fathers rated their children's temperament (emotionality, activity, sociability, and shyness). At Times 1 and 2, genetic and nonshared environmental factors accounted for variance in temperament, whereas shared environmental contributions were negligible. However, at Time 1, genetic contributions were inflated, and shared environmental contributions were masked if sibling contrast effects were not taken into account. At Time 2, sibling interaction effects had little impact on estimates of genetic and environmental contributions to temperament. Last, temperament stability was primarily explained by genetic factors, whereas both genetic and nonshared environmental factors accounted for change.     

Stability and change in a perspective reversal illusion

A phenomenologieal explanation is presented for the stability and instability of the appearance of the form of objects as a consequence of changes in (1) the spatial position of the observer with respect to the object, and (2) the amount of time the object is observed from a specific spatial position. In support of the explanation, an object was constructed so that it would have multiple appearances when observed continuously from the same viewpoint. The initial appearance of this object when observed from different spatial positions and the constancy over time of these appearances were demonstrated to be in agreement with the theoretical expectations.     

Teachers' perceptions of children's sport learning capacity predicts their fundamental movement skill proficiency

The intrapersonal mechanism that drives and explains individual differences in motor development is still a relatively underexplored area of research. In this study, we set out to determine whether in teachers' perceptions, higher sport-learning capacity (SLC) is associated with the level of fundamental movement skills, and the changes therein over 24 weeks in 7-year-olds. We assessed 170 children from eight primary schools in the Netherlands twice (T1, T2) in 24 weeks, using a tool to assess their FMS in applied settings (Platvoet, Elferink-Gemser, & Visscher, 2018). The schools' eight PE teachers used a digital questionnaire to score their perceptions of children's SLC (Platvoet, Elferink-Gemser, Baker, & Visscher, 2015). Based on their SLC, each child was then placed in the low (n = 33), average (n = 107), or high SLC-group (n = 30). We used a MANOVA to examine group differences, with the four subtests as dependent variables. The results revealed that regardless of SLC-group, children improved their FMS over 24 weeks (F(4,163) = 10.22, p < .05, Wilks Lamba = 0.800). An interaction effect was found for FMS assessment and SLC-group (F(8,326) = 2.23, p < 0,05, Wilks Lamba = 0.899). The children in the average and high groups improved more on the moving sideways subtest than those in the low group (p < .05). The MANOVA showed a main effect for SLC-group (F(4,163) = 4.69, p < .05, Wilks Lamba = 0.804). The average and high groups outperformed the low group on the measurements for walking backwards and moving sideways (p < .05). The high group also outperformed the low group on jumping sideways at both measurements, while the average group only achieved this at T1. The high group scored better on jumping sideways than the average group at T1 (p < .05). No differences in proficiency were found between the three groups on the hand-eye coordination assessment (p > .05). In sum, we found an association between children's SLC and level of FMS and changes therein; this was especially pronounced in children with a lower SLC, who had a lower proficiency and improved less on the subtest moving sideways.     

Stability and change in religiousness during emerging adulthood

Understanding the development of religiousness is an important endeavor because religiousness has been shown to be related to positive outcomes. The current study examined mean-level, rank-order, and individual-level change in females' religiousness during emerging adulthood. Genetic and environmental influences on religiousness and its change and stability were also investigated. Analyses were completed with an epidemiological study of 2 cohorts of twins: 1 assessed at ages 14 and 18 and a 2nd at 20 and 25. Mean levels of religiousness decreased significantly with age, while rank-order stability was high. Individual-level change was also evident. Analyses also supported the hypotheses that more change would occur in the younger cohort compared with the older cohort and that more change would occur in religious service attendance than the general index of religiousness. Twin analyses suggested that the heritability of religiousness increased with age, while the shared environmental influences decreased. For the younger cohort, change was genetic in origin, while stability was environmental. In the older cohort, change was influenced by nonshared environment and stability by both genes and family environment.     

Longitudinal change and longitudinal stability of individual differences in children's emotion understanding

Individual differences in children's emotion understanding have been intensively investigated during the past decade. Theses studies suggest that individual differences emerge quite early, are present among both preschool and school-aged children, are not restricted to the understanding of some specific components of emotions, correlate with other characteristics of the individual and his or her social network, and may persist even after an intervention programme. However, because few of these studies had a longitudinal design we know little about change and stability in these individual differences especially among school-aged children when several components of emotion understanding, both simple and complex, are assessed. Therefore, the two aims of the present study were to examine both change and stability in individual differences among school-aged children in their understanding of several components of emotion. For this purpose, 42 children aged 7, 9, and 11 years at Time I were retested 13 months later at Time II on several components of emotion understanding, both simple and complex, with the Test of Emotion Comprehension (TEC). The results show that: (1) The two younger age groups clearly improved their overall level of emotion understanding; (2) this improvement was not equally distributed across the different components of emotion understanding; (3) individual differences in the overall level of emotion understanding were very stable, with overall level at Time I being a good predictor of overall level at Time 2; and (4) this stability was observable for both simple and complex components of emotion understanding.