Prepulse Inhibition and P50 Suppression in Relation to Creativity and Attention: Dispersed Attention Beneficial to Quantitative but Not Qualitative Measures of Divergent Thinking.

The current study investigated whether lower sensory and sensorimotor gating were related to higher levels of creativity and/or attentional difficulties in a natural population of primary school children (9- to 13-year-old). Gating abilities were measured with P50 suppression and prepulse inhibition of the startle reflex (PPI). The final sample included 65 participants in the P50 analyses and 37 participants in the PPI analyses. Our results showed that children with a high P50 amplitude to testing stimuli scored significantly higher on the divergent outcome measures of fluency and flexibility but not originality compared to children with a lower amplitude. No significant differences were found on any of the creativity measures when the sample was split on average PPI parameters. No significant differences in attention, as measured with a parent questionnaire, were found between children with low or high levels of sensory or sensorimotor gating. The data suggest that quantitative, but not qualitative measures of divergent thinking benefit from lower psychophysiological gating and that attentional difficulties stem from specific instead of general gating deficits. Future studies should take the effect of controlled attention into consideration.

Sex differences in the association of math achievement with visual-spatial and verbal working memory: Does the type of math test matter?

Previous research on sex differences in mathematical achievement shows mixed findings, which have been argued to depend on types of math tests used and the type of solution strategies (i.e., verbal versus visual-spatial) these tests evoke. The current study evaluated sex differences in (a) performance (development) on two types of math tests in primary schools and (b) the predictive value of verbal and visual-spatial working memory on math achievement. Children (N = 3175) from grades 2 through five participated. Visual-spatial and verbal working memory were assessed using online computerized tasks. Math performance was assessed five times during two school years using a speeded arithmetic test (math fluency) and a word problem test (math problem solving). Results from Multilevel Multigroup Latent Growth Modeling, showed that sex differences in level and growth of math performance were mixed and very small. Sex differences in the predictive value of verbal and visual-spatial working memory for math performance suggested that boys seemed to rely more on verbal strategies than girls. Explanations focus on cognitive and emotional factors and how these may interact to possibly amplify sex differences as children grow older.

The Contribution of Executive Functions in Predicting Mathematical Creativity in Typical Elementary School Classes: A Twofold Role for Updating.

The goal of the current study was to investigate the role of executive functions in mathematical creativity. The sample included 278 primary school children (ages 8-13). Two models were compared: the starting model tested whether executive functions (shifting, updating, and inhibition), domain-general creativity, and mathematical ability directly predicted mathematical creativity. The second model, which fitted the data best, included the additional assumption that updating influences mathematical creativity indirectly through mathematical ability and domain-general creativity. Updating was positively related to mathematical creativity. Additionally, updating was positively related to mathematical ability and domain-general creativity. Inhibition, shifting, domain-general creativity and mathematical ability did not have a significant contribution to either model but did positively correlate with mathematical creativity. This study reports the first empirical evidence that updating is a predictor of mathematical creativity in primary school children and demonstrates that creativity is a higher order cognitive process, activating a variety of cognitive abilities.

Effects of Digital Learning Materials on nursing students' mathematics learning, self-efficacy, and task value in vocational education.

The use of digital environments in nursing education offers new opportunities for nursing students' medical mathematics learning. The aim of this study was to investigate the effects of Digital Learning Materials (DLMs) on nursing students' mathematics learning, self-efficacy, and task value. A pre-test/post-test control group design was used. Students were assigned to the DLMs group (experimental condition) or the face-to-face group (control condition). Students in both conditions completed the same assignments and discussed these with their peers and the (online) teacher via the discussion board or in the classroom setting. The results showed that the mathematics learning of students undergoing DLMs training and of those undergoing face-to-face training improved from the pretest to the post-test, but no significant differences were found between the two conditions. A significant interaction effect between condition and self-efficacy was reported, producing a large reduction in the self-efficacy of students in the DLMs condition and a small reduction in the self-efficacy of students in the face-to-face condition. No significant differences were found for students' task value. The study offers new insights for the future design of mathematics training with DLMs, focusing on students' appreciation of DLMs features, considering students with low and high learning abilities separately.

Counting and Number Line Trainings in Kindergarten: Effects on Arithmetic Performance and Number Sense.

Children's early numerical capacities form the building blocks for later arithmetic proficiency. Linear number placements and counting skills are indicative of mapping, as an important precursor to arithmetic skills, and have been suggested to be of vital importance to arithmetic development. The current study investigated whether fostering mapping skills is more efficient through a counting or a number line training program. Effects of both programs were compared through a quasi-experimental design, and moderation effects of age and socio-economic status (SES) were investigated. Ninety kindergartners were divided into three conditions: a counting, a number line, and a control condition. Pretests and posttests included an arithmetic (addition) task and a battery of number sense tasks (comparison, number lines, and counting). Results showed significantly greater gains in arithmetic, counting, and symbolic number lines in the counting training group than in the control group. The number line training group did not make significantly greater gains than the control group. Training gains were moderated by age, but not SES. We concluded that counting training improved numerical capacities effectively, whereas no such improvements could be found for the number line training. This suggests that only a counting approach is effective for fostering number sense and early arithmetic skills in kindergarten. Future research should elaborate on the parameters of training programs and the consequences of variation in these parameters.

Cognitive predictors of children's development in mathematics achievement: A latent growth modeling approach.

Research has identified various domain-general and domain-specific cognitive abilities as predictors of children's individual differences in mathematics achievement. However, research into the predictors of children's individual growth rates, namely between-person differences in within-person change in mathematics achievement is scarce. We assessed 334 children's domain-general and mathematics-specific early cognitive abilities and their general mathematics achievement longitudinally across four time-points within the first and second grades of primary school. As expected, a constellation of multiple cognitive abilities contributed to the children's starting level of mathematical success. Specifically, latent growth modeling revealed that WM abilities, IQ, counting skills, nonsymbolic and symbolic approximate arithmetic and comparison skills explained individual differences in the children's initial status on a curriculum-based general mathematics achievement test. Surprisingly, however, only one out of all the assessed cognitive abilities was a unique predictor of the children's individual growth rates in mathematics achievement: their performance in the symbolic approximate addition task. In this task, children were asked to estimate the sum of two large numbers and decide if this estimated sum was smaller or larger compared to a third number. Our findings demonstrate the importance of multiple domain-general and mathematics-specific cognitive skills for identifying children at risk of struggling with mathematics and highlight the significance of early approximate arithmetic skills for the development of one's mathematical success. We argue the need for more research focus on explaining children's individual growth rates in mathematics achievement.

Visual working memory and number sense: Testing the double deficit hypothesis in mathematics.

BACKGROUND: Evidence exists that there are two main underlying cognitive factors in mathematical difficulties: working memory and number sense. It is suggested that real math difficulties appear when both working memory and number sense are weak, here referred to as the double deficit (DD) hypothesis. AIMS: The aim of this study was to test the DD hypothesis within a longitudinal time span of 2 years. SAMPLE: A total of 670 children participated. The mean age was 4.96 years at the start of the study and 7.02 years at the end of the study. METHODS: At the end of the first year of kindergarten, both visual-spatial working memory and number sense were measured by two different tasks. At the end of first grade, mathematical performance was measured with two tasks, one for math facts and one for math problems. RESULTS: Multiple regressions revealed that both visual working memory and symbolic number sense are predictors of mathematical performance in first grade. Symbolic number sense appears to be the strongest predictor for both math areas (math facts and math problems). Non-symbolic number sense only predicts performance in math problems. Multivariate analyses of variance showed that a combination of visual working memory and number sense deficits (NSDs) leads to the lowest performance on mathematics. CONCLUSIONS: Our DD hypothesis was confirmed. Both visual working memory and symbolic number sense in kindergarten are related to mathematical performance 2 years later, and a combination of visual working memory and NSDs leads to low performance in mathematical performance.

The Monkey game: A computerized verbal working memory task for self-reliant administration in primary school children.

In two studies, the psychometric properties of an online self-reliant verbal working memory task (the Monkey game) for primary school children (6-12 years of age) were examined. In Study 1, children (n = 5,203) from 31 primary schools participated. The participants completed computerized verbal and visual-spatial working memory tasks (i.e., the Monkey game and the Lion game) and a paper-and-pencil version of Raven's Standard Progressive Matrices. Reading comprehension and math achievement test scores were obtained from the schools. First, the internal consistency of the Monkey game was examined. Second, multilevel modeling was used to examine the effects of classroom membership. Multilevel multivariate regression analysis was used to examine the Monkey game's concurrent relationship with the Lion game and its predictive relationships with reading comprehension and math achievement. Also, age-related differences in performance were examined. In Study 2, the concurrent relationships between the Monkey game and two tester-led computerized working memory tasks were further examined (n = 140). Also, the 1- and 2-year stability of the Monkey game was investigated. The Monkey game showed excellent internal consistency, good concurrent relationships with the other working memory measures, and significant age differences in performance. Performance on the Monkey game was also predictive of subsequent reading comprehension and mathematics performance, even after controlling for individual differences in intelligence. Performance on the Monkey game was influenced by classroom membership. The Monkey game is a reliable and suitable instrument for the online computerized and self-reliant assessment of verbal working memory in primary school children.

Remedial early numeracy education: can children identified as having a language deficiency benefit?

BACKGROUND: Growing attention has been paid to the possibility of supporting early numeracy in at-risk kindergartners. Furthermore, it is assumed that language proficiency is an important prerequisite in early maths skills. AIMS: To examine whether remedial early numeracy education in kindergarten, which has been proven to be effective in general, is also beneficial for children with a language deficiency. METHODS & PROCEDURES: Based on intensive selection, four different conditions were included: two groups received remedial education, one consisting of children being language proficient (N = 86) and one of children with a language deficiency (N = 26), and two groups followed the regular curriculum, one consisting of children being language proficient (N = 51) and one of children with a language deficiency (N = 24). Remedial education was for 1.5 school years (90 sessions, 30 min per session, twice per week), following the programme 'The Road to Mathematics'. During this period, the children receiving remedial education did not attend the regular maths lessons in the classroom, which were offered for at least 1 h per week. Effects were assessed for early numeracy and mathematical skills (operationalized as basic calculation fluency) in kindergarten and first grade. OUTCOMES & RESULTS: Three analyses of covariance (ANCOVAs) revealed that, when accounting for achievement at pre-test, children with a language deficiency who received remedial numeracy education performed better on early numeracy skills in kindergarten and first grade than kindergartners with a language deficiency that followed the regular curriculum. Furthermore, they were able to catch up with their language proficient peers in early numeracy. However, children with a language deficiency who received remedial numeracy education did not differ from children who followed the regular curriculum on mathematical skills, suggesting that benefits for numeracy did not generalize to more advanced skills of addition and subtraction. CONCLUSIONS & IMPLICATIONS: Since, in general, it can be concluded that early numeracy education is indeed effective for kindergartners with a language deficiency, this study finds evidence that intensive support is desirable for children with delayed or impaired language development.

Longitudinal development of number line estimation and mathematics performance in primary school children.

Children's ability to relate number to a continuous quantity abstraction visualized as a number line is widely accepted to be predictive of mathematics achievement. However, a debate has emerged with respect to how children's placements are distributed on this number line across development. In the current study, different models were applied to children's longitudinal number placement data to get more insight into the development of number line representations in kindergarten and early primary school years. In addition, longitudinal developmental relations between number line placements and mathematical achievement, measured with a national test of mathematics, were investigated using cross-lagged panel modeling. A group of 442 children participated in a 3-year longitudinal study (ages 5-8 years) in which they completed a number-to-position task every 6 months. Individual number line placements were fitted to various models, of which a one-anchor power model provided the best fit for many of the placements at a younger age (5 or 6 years) and a two-anchor power model provided better fit for many of the children at an older age (7 or 8 years). The number of children who made linear placements also grew with age. Cross-lagged panel analyses indicated that the best fit was provided with a model in which number line acuity and mathematics performance were mutually predictive of each other rather than models in which one ability predicted the other in a non-reciprocal way. This indicates that number line acuity should not be seen as a predictor of math but that both skills influence each other during the developmental process.

Verbal and visual-spatial working memory and mathematical ability in different domains throughout primary school.

The relative importance of visual-spatial and verbal working memory for mathematics performance and learning seems to vary with age, the novelty of the material, and the specific math domain that is investigated. In this study, the relations between verbal and visual-spatial working memory and performance in four math domains (i.e., addition, subtraction, multiplication, and division) at different ages during primary school are investigated. Children (N = 4337) from grades 2 through 6 participated. Visual-spatial and verbal working memory were assessed using online computerized tasks. Math performance was assessed at the start, middle, and end of the school year using a speeded arithmetic test. Multilevel Multigroup Latent Growth Modeling was used to model individual differences in level and growth in math performance, and examine the predictive value of working memory per grade, while controlling for effects of classroom membership. The results showed that as grade level progressed, the predictive value of visual-spatial working memory for individual differences in level of mathematics performance waned, while the predictive value of verbal working memory increased. Working memory did not predict individual differences between children in their rate of performance growth throughout the school year. These findings are discussed in relation to three, not mutually exclusive, explanations for such age-related findings.

Validity and reliability of an online visual-spatial working memory task for self-reliant administration in school-aged children.

Working memory is an important predictor of academic performance, and of math performance in particular. Most working memory tasks depend on one-to-one administration by a testing assistant, which makes the use of such tasks in large-scale studies time-consuming and costly. Therefore, an online, self-reliant visual-spatial working memory task (the Lion game) was developed for primary school children (6-12 years of age). In two studies, the validity and reliability of the Lion game were investigated. The results from Study 1 (n = 442) indicated satisfactory six-week test-retest reliability, excellent internal consistency, and good concurrent and predictive validity. The results from Study 2 (n = 5,059) confirmed the results on the internal consistency and predictive validity of the Lion game. In addition, multilevel analysis revealed that classroom membership influenced Lion game scores. We concluded that the Lion game is a valid and reliable instrument for the online computerized and self-reliant measurement of visual-spatial working memory (i.e., updating).

Explaining numeracy development in weak performing kindergartners.

Gaining better insight into precursors of early numeracy in young children is important, especially in those with inadequate numeracy skills. Therefore, in the current study, visual and verbal working memory, non-symbolic and symbolic comparison skills, and specific math-related language were used to explain early numeracy performance and development of weak performing children throughout kindergarten. The early numeracy ability of both weak performers and typical performers was measured at four time points during 2 years of kindergarten to compare growth rates. Results show a significant faster development of early numeracy in the weak performers. The development of weak performers' numeracy was influenced by verbal working memory, symbolic comparison skills, and math language, whereas only math language was positively related to the slope of typical performers' numeracy. In the weak performers, visual working memory, non-symbolic comparison skills, and math language showed an effect on the initial early numeracy level of these children. The intercept of the typical performers was predicted by five covariates, all except non-symbolic comparison.

Accelerating the early numeracy development of kindergartners with limited working memory skills through remedial education.

BACKGROUND: Young children with limited working memory skills are a special interest group among all children that score below average on early numeracy tests. This study examines the effect of accelerating the early numeracy development of these children through remedial education, by comparing them with children with typically working memory skills and early numeracy abilities below average. METHOD: Selected from a sample of 933 children, children with early numeracy ability below average are assigned into four groups: two intervention groups with limited working memory skills (IL-group) or typical working memory skills (IT-group), and two control groups with limited working memory skills (CL-group) or typical working memory skills (CT-group). All four groups were followed for a period of 1.5 years. Four measurements were carried out. CONCLUSION: The remedial program proved to be similarly effective for the IL-group and the IT-group. The findings are discussed in the light of several limitations and implications.

Longitudinal study of low and high achievers in early mathematics.

BACKGROUND: Longitudinal studies allow us to identify, which specific maths skills are weak in young children, and whether there is a continuing weakness in these areas throughout their school years. AIMS: This 2-year study investigated whether certain socio-demographic variables affect early mathematical competency in children aged 5-7 years. SAMPLE: A randomly selected sample of 127 students (64 female; 63 male) participated. At the start of the study, the students were approximately 5 years old (M= 5.2; SD= 0.28; range = 4.5-5.8). METHOD: The students were assessed using the Early Numeracy Test and then allocated to a high (n= 26), middle (n= 76), or low (n= 25) achievers group. The same children were assessed again with the Early Numeracy Test at 6 and 7 years old, respectively. Eight socio-demographic characteristics were also evaluated: family model, education of the parent(s), job of the parent(s), number of family members, birth order, number of computers at home, frequency of teacher visits, and hours watching television. RESULTS: Early Numeracy Test scores were more consistent for the high-achievers group than for the low-achievers group. Approximately 5.5% of low achievers obtained low scores throughout the study. A link between specific socio-demographic characteristics and early achievement in mathematics was only found for number of computers at home. CONCLUSIONS: The level of mathematical ability among students aged 5-7 years remains relatively stable regardless of the initial level of achievement. However, early screening for mathematics learning disabilities could be useful in helping low-achieving students overcome learning obstacles.

The effectiveness of Korean number naming on insight into numbers in Dutch students with mild intellectual disabilities.

BACKGROUND: Children from Asian countries score higher on early years' arithmetic tests than children from Europe or the United States of America. An explanation for these differences may be the way numbers are named. A clear ten-structure like in the Korean language method leads to a better insight into numbers and arithmetic skills. This assumption forms the basis of the current study. METHOD: Examined is whether an intervention with number naming in the Korean way influences number awareness of students with mild intellectual disabilities (N=70; mean age: 9;0 years). RESULTS: The results indicate a positive effect of this alternative method of number naming on the insight into numbers up to 20. However, the effect did not generalize to insight into numbers 21-100. CONCLUSIONS: The Korean method of number naming seems to be a promising way to teach students with mild intellectual disabilities insight into numbers.

The effectiveness of Korean number naming on insight into numbers in Dutch students with mild intellectual disabilities.

Children from Asian countries score higher on early years' arithmetic tests than children from Europe or the United States of America. An explanation for these differences may be the way numbers are named. A clear ten-structure like in the Korean language method leads to a better insight into numbers and arithmetic skills. This assumption forms the basis of the current study. Examined is whether an intervention with number naming in the Korean way influences number awareness of students with mild intellectual disabilities (N=70; mean age: 9.0 years). The results indicate a positive effect of this alternative method of number naming on the insight into numbers up to 20. However, the effect did not generalize to insight into numbers 21-100. The Korean method of number naming seems to be a promising way to teach students with mild intellectual disabilities insight into numbers.

Executive functions as predictors of math learning disabilities.

In the past years, an increasing number of studies have investigated executive functions as predictors of individual differences in mathematical abilities. The present longitudinal study was designed to investigate whether the executive functions shifting, inhibition, and working memory differ between low achieving and typically achieving children and whether these executive functions can be seen as precursors to math learning disabilities in children. Furthermore, the predictive value of working memory ability compared to preparatory mathematical abilities was examined. Two classifications were made based on (persistent) mathematical ability in first and second grade. Repeated measures analyses and discriminant analyses were used to investigate which functions predicted group membership best. Group differences in performance were found on one inhibition and three working memory tasks. The working memory tasks predicted math learning disabilities, even over and above the predictive value of preparatory mathematical abilities.

Memory profiles in children with mild intellectual disabilities: strengths and weaknesses.

Strengths and weaknesses in short-term memory (STM) and working memory (WM) were identified in children with mild intellectual disabilities (MID) by comparing their performance to typically developing children matched on chronological age (CA children) and to younger typically developing children with similar mental capacities (MA children). Children with MID performed less well on all measures compared to the CA children. Relative to the MA children, especially verbal WM was weak. Subsequent analyses yielded distinct MID subgroups each with specific memory strengths and weaknesses. These findings hold implications for the demands imposed on children with MID in education and daily life.