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Calcularis is a computer-based training program which focuses on basic numerical skills, spatial representation of numbers and arithmetic operations. The program includes a user model allowing flexible adaptation to the child's individual knowledge and learning profile. The study design to evaluate the training comprises three conditions (Calcularis group, waiting control group, spelling training group). One hundred and thirty-eight children from second to fifth grade participated in the study. Training duration comprised a minimum of 24 training sessions of 20 min within a time period of 6–8 weeks. Compared to the group without training (waiting control group) and the group with an alternative training (spelling training group), the children of the Calcularis group demonstrated a higher benefit in subtraction and number line estimation with medium to large effect sizes. Therefore, Calcularis can be used effectively to support children in arithmetic performance and spatial number representation.
Research has shown that learning disabilities are associated with internalizing problems in (pre) adolescents. In order to examine this relationship for math disability (MD), math achievement and internalizing problem scores were measured in a representative group of 1,436 (pre) adolescents. MD was defined by a discrepancy between math achievement and IQ. Internalizing problems were measured through a multi-informant (parents, teachers, self-report) approach. The results revealed that MD puts (pre) adolescents at a higher risk for internalizing problems. External and self-ratings differed between boys and girls, indicating that either they show distinct internalizing symptoms or they are being perceived differently by parents and teachers. Results emphasize the importance of both a multi-informant approach and the consideration of gender differences when measuring internalizing symptomatology of children with MD. For an optimal treatment of MD, depressive and anxious symptoms need to be considered.
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.
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.
Is a specific disorder of arithmetic skills as common as reading/spelling disorder?Background: Referring to the prevalence rates of learning disorders in the research literature, the numbers of mathematics disorder and reading/ spelling disorder are often reported to be identical. However, the correlation between intelligence level and reading/ spelling skills is much weaker than between intelligence and arithmetic skills. If the same definition criterion is applied to both disorders, a lower prevalence rate for mathematics disorder should be expected. Objective: Are there differences in the prevalence estimates for learning disorders depending on the definition criterion? Method: A large representative sample of German students (N = 1970) was used to review the hypothesis. Results: Depending on the definition criterion, we could show a prevalence range of mathematics disorder between 0.1% and 8.1% in the same sample. Using the same definition criterion for both learning disorders, there are two to three times as many students with reading/spelling disorder than those with mathematics disorder. Discussion: Whenever children with reading/spelling disorder are compared to children with mathematics disorder, the same definition criterion has to be applied.
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.