The development of ordinal numerical knowledge in infancy

A critical question in cognitive science concerns how numerical knowledge develops. One essential component of an adult concept of number is ordinality: the greater than and less than relationships between numbers. Here it is shown in two experiments that 11-month-old infants successfully discriminated, whereas 9-month-old infants failed to discriminate, sequences of numerosities that descended in numerical value from sequences that increased in numerical value. These results suggest that by 11 months of age infants possess the ability to appreciate the greater than and less than relations between numerical values but that this ability develops between 9 and 11 months of age. In an additional experiment 9-month-old infants succeeded at discriminating the ordinal direction of sequences that varied in the size of a single square rather than in number, suggesting that a capacity for non-numerical ordinal judgments may develop before a capacity for ordinal numerical judgments. These data raise many questions about how infants represent number and what happens between 9 and 11 months to support ordinal numerical judgments.     

The competence of young children to testify in legal proceedings

Young children testify as witnesses with increasing frequency. This article describes the law regarding children's competence to testify. The article focuses on: (1) the elements of testimonial competence, including perception, memory, understanding the difference between the truth and a lie, and understanding the duty to tell the truth in court; (2) the requirement of personal knowledge of relevant facts; and (3) the requirement that the child take a religious oath or a secular affirmation.     

Logical competence and transitive inference in young children

Five-year-old children were trained on the length relationships between the adjacent members of a five-term series of sticks. They were then tested on their abilities (1) to judge the length relationships between nonadjacent pairs of the series, and (2) to incorporate an unseen novel stick into the series through inference. Children who were trained with sticks of markedly different lengths succeeded on the first test but not the second; they apparently relied on memory for the absolute lengths of the sticks. Children in the other groups succeeded on both tests. The critical factor in inducing the use of seriation and transitivity seemed to be the elimination of alternative solutions.     

Rudimental numerical competence in 5-day-old domestic chicks (Gallus gallus): identification of ordinal position

Numerical competencies were investigated for the 1st time in very young nonhuman animals. Chicks (Gallus gallus) learned to identify the 3rd, 4th, or 6th positions in a series of 10 identical positions (Experiment 1). Use of spatial information (i.e., distances) was ruled out in Experiment 2 (chicks generalized the reinforced response to an array of stimuli rotated by 90 degrees as compared with training) and Experiment 3 (chicks generalized their response to a series in which distances between the single positions had been manipulated). Chicks found the correct position even when both identity and distance of each position changed from trial to trial (Experiment 4). Overall, young chicks seemed to use ordinality when required to identify a target by its numerical serial position.     

The development of conceptual interests in young children

We conducted a longitudinal analysis of the relative intensity and duration of interests associated with conceptual domains between the ages of 4 and 6 years, respectively. Results indicated a significant portion of preschool children do sustain an interest in conceptual domains during some portion of their childhood. Expected gender differences were found, with boys more likely to express an interest in a conceptual domain than girls. A latent growth curve analysis revealed that the probability of exhibiting a conceptual interest declined as school began, though the rate of that decline was similar for both boys and girls. Potential explanations for the decrease in conceptual interests as school begins are considered.     

The development of retrieval strategies in young children

Two incidental memory tasks were given to 3.5–6.5 yr old children to test for an age increase in the tendency to use a simple indirect retrieval strategy when direct retrieval efforts do not suffice. In both tasks, pictures of people were paired with very closely associated toy objects (e.g., farmer—toy tractor), and the indirect retrieval strategy consisted of thinking to use one member of the pair as a cue to the recall of the other, e.g., turning over the visible but facedown pictures and using them as retrieval cues for the toys. Support for the predicted age trend was obtained in one of the two tasks. It was suggested that the development of retrieval skills in children may show some parallels with that of storage skills.     

Second to fourth digit ratio and numerical competence in children

The ratio between the 2nd and 4th fingers (2D:4D)-a potential proxy for prenatal testosterone (T) exposure-shows a sex difference, with males usually having lower mean values; the latter potentially indicates higher prenatal T exposure. We studied relations between 2D:4D and competencies in the domains of counting, number knowledge, and visual-number representation in 73 children aged 6-11 years. Significant negative correlations between numerical performance in all of these areas and right and left hand 2D:4D ratios were found for boys but not girls. To the extent that 2D:4D ratios reflects prenatal exposure to T, the implications are (i) high prenatal T may be associated with better performance on some basic numerical measures for boys, and (ii) prenatal exposure to T may affect boys and girls differently with respect to some numerical competencies.     

Numeracy skills in young children as predictors of mathematical competence

As mathematical competence is linked to educational success, professional achievement, and even a country's economic growth, researchers have been interested in early predictors for quite some time. Although there have been numerous studies on domain-specific numerical abilities predicting later mathematical competence in preschool children, research in toddlers is scarce, especially regarding additional influential aspects, such as domain-general cognitive abilities and the children's social background. Using a large-scale dataset, the present study examined predictive effects of numeracy skills in 17-month-olds for later mathematical achievement. We found small, positive effects, even when controlling for child-related variables (i.e., age and sex) and the children's social background (i.e., maternal education and household language). Additionally, we compared results with a domain-general categorization task and found no distinct effect on mathematical competence. The present results are discussed with regard to the specificities of the dataset, as well as implications for future studies on predictors of mathematical competence.     

Number development in young children

This paper presents new data on children's acquisition of counting skills. Three aspects of counting were studied: the formation of the cardinality rule that the last number named during counting denotes the number of objects in an array, the mastery of the counting procedure or the coordination of ordered number names and objects counted, and the growth of the knowledge that x + 1 is greater than x. A model was outlined which posits the hierarchic integration of six number skills to account for the growth of the knowledge that x + 1 is greater than x and the development of number conservation. The six skills are: the cardinality rule, the counting procedure, acquisition of more x's, judgments of relative numerosity, pattern recognition of small numbers, and one-to-one correspondences.     

Representations of numerical and non‐numerical magnitude both contribute to mathematical competence in children

A growing body of evidence suggests that non‐symbolic representations of number, which humans share with nonhuman animals, are functionally related to uniquely human mathematical thought. Other research suggesting that numerical and non‐numerical magnitudes not only share analog format but also form part of a general magnitude system raises questions about whether the non‐symbolic basis of mathematical thinking is unique to numerical magnitude. Here we examined this issue in 5‐ and 6‐year‐old children using comparison tasks of non‐symbolic number arrays and cumulative area as well as standardized tests of math competence. One set of findings revealed that scores on both magnitude comparison tasks were modulated by ratio, consistent with shared analog format. Moreover, scores on these tasks were moderately correlated, suggesting overlap in the precision of numerical and non‐numerical magnitudes, as expected under a general magnitude system. Another set of findings revealed that the precision of both types of magnitude contributed shared and unique variance to the same math measures (e.g. calculation and geometry), after accounting for age and verbal competence. These findings argue against an exclusive role for non‐symbolic number in supporting early mathematical understanding. Moreover, they suggest that mathematical understanding may be rooted in a general system of magnitude representation that is not specific to numerical magnitude but that also encompasses non‐numerical magnitude.     

The development of emotional responses to music in young children

Children aged 3 to 4 and 7 to 8 years listened to eight tunes which were either in the major or minor mode and either unaccompanied melody or harmonized. For each tune children selected one of two schematic faces chosen to depict happy or sad facial expressions. Children 7 to 8 years old showed a significant major-happy and minor-sad connotation, which was also shown by adults. However 3 to 4 year-olds did not show any such significant association between musical mode and emotional response. Harmonic accompaniment significantly increased the frequency of happy responses. The results support the idea of a learned association between mode and emotional response. We thank the teachers and children of Mauldeth Road County Primary School and Ladybarn Primary School, Manchester, for their cooperation, and we thank Debra Raye and Daniela Milone for help with testing.     

Multisensory information boosts numerical matching abilities in young children

This study presents the first evidence that preschool children perform more accurately in a numerical matching task when given multisensory rather than unisensory information about number. Three- to 5-year-old children learned to play a numerical matching game on a touchscreen computer, which asked them to match a sample numerosity with a numerically equivalent choice numerosity. Samples consisted of a series of visual squares on some trials, a series of auditory tones on other trials, and synchronized squares and tones on still other trials. Children performed at chance on this matching task when provided with either type of unisensory sample, but improved significantly when provided with multisensory samples. There was no speed–accuracy tradeoff between unisensory and multisensory trial types. Thus, these findings suggest that intersensory redundancy may improve young children’s abilities to match numerosities.     

Social competence and conduct problems in young children: issues in assessment

Examined the differences in various facets of social competence in 2 groups of young children (ages 4-7 years)--a clinic-referred group of aggressive children (N = 60) diagnosed with oppositional defiant disorder or conduct problems and a matched comparison group of typically developing children (N = 60). Four aspects of social competence were assessed: social information processing, actual observations of conflict management skills and social play interactions during peer interactions, positive social interactions with mothers and fathers at home, and teacher reports of social competence. The social information processing assessed included problem-solving skills (hypothetical skills as demonstrated on a social problem-solving test), self-perceptions (child's awareness of his or her own social self and feelings of loneliness), perceptions of others (attributions), and perceptions of others' attitudes toward oneself. To determine the construct validity of various means of assessing child social competence, we correlated children's social information processing measures with parent and teacher reports of social adjustment and with actual observations of interactions during peer play and at home with parents. Results comparing the 2 groups suggest that young children with conduct problems have deficits in their social information processing awareness or interpretation of social cues--they overestimate their own social competence and misattribute hostile intent to others. Tests of cognitive problem solving and observations of peer play interactions indicated that the children with conduct problems had significantly fewer positive problem-solving strategies and positive social skills, more negative conflict management strategies, and delayed play skills with peers than the comparison children. Correlation analyses indicated significant correlations between children's negative attributions and the ratio of positive to negative problem-solving strategies with observations of peer play interactions.     

The development of relational competence among young high-risk fathers across the transition to parenthood

This study examined relationship factors associated with paternal functioning among young, high-risk fathers, with an emphasis on the role of a young mother's relational competence on her partner's paternal functioning. Participants included 60 young fathers and their coparenting partners, who were identified before childbirth and followed over 2 years. Fathers were identified as being at high risk for paternal failure based on a history of school dropout, psychopathology, and/or serial fatherhood. It was hypothesized that young men who were more relationally competent before childbirth would function more adequately as fathers, despite their high-risk status. Based on principles of family systems theory, it was also predicted that young men with more relationally competent partners would become more relationally competent, and therefore learn to function more positively as fathers. Relational competence was assessed using interview data collected before and 2 years post child birth, and coded with the Relational Competence Index. Paternal functioning was based on a composite score consisting of self-reported and observed parenting. Path analysis indicated that (1) high-risk fathers with relationally competent partners had higher relational competence scores over time, and (2) higher relational competence scores were associated with more positive paternal functioning scores.     

Young children's numerical competence

In their analysis of numerical competence, Creeno, Riley, and Gelman 1984 distinguish between conceptual, procedural, and utilization competence. Principled knowledge about a domain, for example, counting, serves as the basis of conceptual competence. Conceptual competence does not provide recipes for procedures but does set constraints on the class of procedures that procedural competence can generate. The ability to assess a task correctly (utilization competence) influences performance because it, too, sets constraints on procedure generation. These distinctions allow one to classify the source of erroneous or variable performances on different number tasks. Our hypothesis that early counting behavior is guided by counting principles, despite the child's limited skill, is tested in four experiments with children ranging in age from 3 to 5 years old. The experiments focus on knowledge of the order-irrelevance and cardinal count principles; children either discriminate between erroneous and correct counting efforts of a puppet, assess the effect of counting the same array in different orders, or solve a counting task that has a constraint. The results of these studies allow us to reinterpret evidence others cite against the principle-first hypothesis, and conclude that much development takes place in the name of procedural and utilization competence.     

Motor competence predicts self-esteem during childhood in typical development children

PurposeThe purpose of this study was to study the relationship between motor competence (MC) and self-esteem in children between 7 and 13 years of age.MethodsThis is five years mixed longitudinal study, although only the last two years were included in the analysis. Participants were N = 144 of both sexes (69 girls) divided in 6 cohorts. At baseline the youngest and the oldest cohorts had 4 and 9 years of age respectively. MC was assessed with KTK. Self-esteem and self-worth were assessed with the Portuguese version of Physical Self-Perception Profile for Children and Youth (PSPP-CY). Cross-lagged models were used to find out whether MC predicts self-esteem and self-worth, or the reverse. Linear mixed models were applied.ResultsOverall, only self-esteem was predicted by MC across age. Results show that self-esteem had a significant decrease between 7 and 13 years of age (−0.56) and that MC is positively associated with self-esteem (b = 0.006).ConclusionsMC had a mitigating effect on the decrease of self-esteem. Promoting MC during childhood and adolescence might have a positive effect on children's well-being and mental health and prevent them to dropout from physical activities.     

Fostering the development of compassion in young children

Conclusion Compassion involves the feeling of emotions which are more appropriate to another's situation than to one's own situation (empathy), along with elements of condolence, pity, and/or agreement (sympathy) resulting in action taken to help or support another (pro-social behavior). The precise relationship among these components of empathy, sympathy, and pro-social behavior remains ambiguous, although their inter-relatedness seems clear. Martin L. Hoffman's theory of the development of empathy in six modes and other empirical research give assurance that the rudiments of empathy, sympathy, and pro-social behavior exist in very young children; this literature informs the practical efforts of parents and educators toward nurturing compassion. Practical strategies thus deemed effective include fostering the emotional bonds between infants and their care-givers, the inducement and rehearsal of pro-social behaviors in day care, preschool, and primary school programs, the use of inductive discipline, the use of appropriate narrative and viewing, and giving attention to the small child's overall environment.