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Intelligence, as well as working memory and attention, affect the acquisition of mathematical competencies. This paper aimed to examine the influence of working memory and attention when taking different mathematical skills into account as a function of children’s intellectual ability. Overall, intelligence, working memory, attention and numerical skills were assessed twice in 1868 German pre-school children (t1, t2) and again at 2nd grade (t3). We defined three intellectual ability groups based on the results of intellectual assessment at t1 and t2. Group comparisons revealed significant differences between the three intellectual ability groups. Over time, children with low intellectual ability showed the lowest achievement in domain-general and numerical and mathematical skills compared to children of average intellectual ability. The highest achievement on the aforementioned variables was found for children of high intellectual ability. Additionally, path modelling revealed that, depending on the intellectual ability, different models of varying complexity could be generated. These models differed with regard to the relevance of the predictors (t2) and the future mathematical skills (t3). Causes and conclusions of these findings are discussed.
Intelligence, as well as working memory and attention, affect the acquisition of mathematical competencies. This paper aimed to examine the influence of working memory and attention when taking different mathematical skills into account as a function of children’s intellectual ability. Overall, intelligence, working memory, attention and numerical skills were assessed twice in 1868 German pre-school children (t1, t2) and again at 2nd grade (t3). We defined three intellectual ability groups based on the results of intellectual assessment at t1 and t2. Group comparisons revealed significant differences between the three intellectual ability groups. Over time, children with low intellectual ability showed the lowest achievement in domain-general and numerical and mathematical skills compared to children of average intellectual ability. The highest achievement on the aforementioned variables was found for children of high intellectual ability. Additionally, path modelling revealed that, depending on the intellectual ability, different models of varying complexity could be generated. These models differed with regard to the relevance of the predictors (t2) and the future mathematical skills (t3). Causes and conclusions of these findings are discussed.
There is increasing interest in improving psychotherapy training using evidence-based supervision. One approach is live supervision (LS), in which the supervisor offers immediate feedback to the trainee (e.g., via microphone, text messages) during the session. This review summarizes the research on LS and its main results. The databases Web of Science Core Collection, PsycArticles, PsycBooks, PsycInfo, PSYNDEX, Psychology and Behavioral Sciences Collection, and PubMed were searched from inception to January 23, 2020 (including a backward search) and updated November 15, 2020. The inclusion criteria (i.e., main focus on LS, immediate feedback from a present supervisor, psychological setting) were met by k = 138 publications, including k = 8 randomized controlled trials (RCTs; N = 339). Two reviewers independently evaluated the RCTs' risk of bias using the revised Cochrane Risk-of-Bias Tool. Most publications had a family therapy background (59%), were categorized as nonempirical (55%), aimed primarily at describing or comparing specific LS methods (35%), and displayed positive views on LS (87%). Based on the RCTs, LS was superior to no-supervision in 78% of all comparisons, but only in 13% of the cases compared to a delayed supervision (DS) condition (i.e., regarding trainee skills, patient outcomes, or other variables). These results somewhat contradict the overall favorable views in the literature. However, the generalizability is limited due to a lack of high-quality studies and substantial heterogeneity in terms of LS methods, concepts, outcomes, and measurements. Ideas for more systematic research on LS regarding objectives and methods are proposed. <br /> Public Significance Statement This review summarizes research on live supervision (LS). LS is a form of supervision in psychotherapy training in which the supervisor observes the trainee's therapy session and provides immediate feedback. The review concludes that LS is probably as effective as delayed supervision (DS), although more high-quality research is needed.
Background: Children’s spontaneous focusing on numerosity (SFON) is related to numerical skills. This study aimed to examine (1) the developmental trajectory of SFON and (2) the interrelations between SFON and early numerical skills at pre-school as well as their influence on arithmetical skills at school. Method: Overall, 1868 German pre-school children were repeatedly assessed until second grade. Nonverbal intelligence, visual attention, visuospatial working memory, SFON and numerical skills were assessed at age five (M = 63 months, Time 1) and age six (M = 72 months, Time 2), and arithmetic was assessed at second grade (M = 95 months, Time 3). Results: SFON increased significantly during pre-school. Path analyses revealed interrelations between SFON and several numerical skills, except number knowledge. Magnitude estimation and basic calculation skills (Time 1 and Time 2), and to a small degree number knowledge (Time 2), contributed directly to arithmetic in second grade. The connection between SFON and arithmetic was fully mediated by magnitude estimation and calculation skills at pre-school. Conclusion: Our results indicate that SFON first and foremost influences deeper understanding of numerical concepts at pre-school and—in contrast to previous findings –affects only indirectly children’s arithmetical development at school.
Background:
Children’s spontaneous focusing on numerosity (SFON) is related to numerical skills. This study aimed to examine (1) the developmental trajectory of SFON and (2) the interrelations between SFON and early numerical skills at pre-school as well as their influence on arithmetical skills at school.
Method:
Overall, 1868 German pre-school children were repeatedly assessed until second grade. Nonverbal intelligence, visual attention, visuospatial working memory, SFON and numerical skills were assessed at age five (M = 63 months, Time 1) and age six (M = 72 months, Time 2), and arithmetic was assessed at second grade (M = 95 months, Time 3).
Results:
SFON increased significantly during pre-school. Path analyses revealed interrelations between SFON and several numerical skills, except number knowledge. Magnitude estimation and basic calculation skills (Time 1 and Time 2), and to a small degree number knowledge (Time 2), contributed directly to arithmetic in second grade. The connection between SFON and arithmetic was fully mediated by magnitude estimation and calculation skills at pre-school.
Conclusion:
Our results indicate that SFON first and foremost influences deeper understanding of numerical concepts at pre-school and—in contrast to previous findings –affects only indirectly children’s arithmetical development at school.