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This study presents the evaluation of a computer-based learning program for children with developmental dyscalculia and focuses on factors affecting individual responsiveness. The adaptive training program Calcularis 2.0 has been developed according to current neuro-cognitive theory of numerical cognition. It aims to automatize number representations, supports the formation and access to the mental number line and trains arithmetic operations as well as arithmetic fact knowledge in expanding number ranges. Sixty-seven children with developmental dyscalculia from second to fifth grade (mean age 8.96 years) were randomly assigned to one of two groups (Calcularis group, waiting control group). Training duration comprised a minimum of 42 training sessions à 20 min within a maximum period of 13 weeks. Compared to the waiting control group, children of the Calcularis group demonstrated a higher benefit in arithmetic operations and number line estimation. These improvements were shown to be stable after a 3-months post training interval. In addition, this study examines which predictors accounted for training improvements. Results indicate that this self-directed training was especially beneficial for children with low math anxiety scores and without an additional reading and/or spelling disorder. In conclusion, Calcularis 2.0 supports children with developmental dyscalculia to improve their arithmetical abilities and their mental number line representation. However, it is relevant to further adapt the setting to the individual circumstances.
Ziel ist die Überprüfung der kurz- und mittelfristigen Wirksamkeit einer vorschulischen Förderung des Mengen- und Zahlenverständnisses bei Kindern mit einem Risiko für die Entwicklung einer Rechenstörung. Es wurden 32 Risikokinder mit einer Kombination aus den Förderprogrammen Mathematik im Vorschulalter und Mengen, zählen, Zahlen im letzten Kindergartenjahr von den Erzieherinnen trainiert und mit 38 untrainierten Risikokindern verglichen. Hinsichtlich der kurzfristigen Wirksamkeit zeigten sich positive Trainingseffekte auf die numerischen Leistungen im letzten Kindergartenjahr. Es ließen sich keine signifikanten mittelfristigen Trainingseffekte auf die Rechenleistungen im zweiten Halbjahr der 1. Klasse finden. Das eingesetzte vorschulische Präventionsprogramm leistete danach einen wichtigen Beitrag zur kurzfristigen Verbesserung der mathematischen Basiskompetenzen.
TBS-TK Rezension
(2018)
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.
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.
This longitudinal study from Germany examined the dynamic progression of antisocial behavior in childhood and adolescence based on the social interactional model by Patterson, DeBaryshe, and Ramsey. It examined the link between antisocial behavior, social rejection, academic failure, and affiliation with deviant peers in a sample of 1,657 children and youths aged between 6 and 15 years who were studied at three measurement waves (T1 to T3) over a time period of about 5 years. Teachers rated the children on all variables, parents additionally provided ratings of antisocial behavior and social rejection. Latent structural equation modeling yielded the predicted positive paths from antisocial behavior at T1 to social rejection and academic failure at T2. As predicted, affiliation with deviant peers at T2 was positively associated with social rejection and academic failure at the same measurement point. Finally, affiliation with deviant peers at T2 significantly predicted antisocial behavior at T3.