Juliane Kohn

Design and evaluation of the computer-based training program Calcularis for enhancing numerical cognition

This article presents the design and a first pilot evaluation of the computer-based training program Calcularis for children with developmental dyscalculia (DD) or difficulties in learning mathematics. The program has been designed according to insights on the typical and atypical development of mathematical abilities. The learning process is supported through multimodal cues, which encode different properties of numbers. To offer optimal learning conditions, a user model completes the program and allows flexible adaptation to a childs individual learning and knowledge profile. Thirty-two children with difficulties in learning mathematics completed the 6–12-weeks computer training. The children played the game for 20 min per day for 5 days a week. The training effects were evaluated using neuropsychological tests. Generally, children benefited significantly from the training regarding number representation and arithmetic operations. Furthermore, children liked to play with the program and reported that the training improved their mathematical abilities.

Modelling and optimizing the process of learning mathematics

This paper introduces a computer-based training program for enhancing numerical cognition aimed at children with developmental dyscalculia. Through modelling cognitive processes and controlling the level of their stimulation, the system optimizes the learning process. Domain knowledge is represented with a dynamic Bayesian network on which the mechanism of automatic control operates. Accumulated knowledge is estimated to select informative tasks and to evaluate student actions. This adaptive training environment equally improves success and motivation. Large-scale experimental data quantifies substantial improvement and validates the advantages of the optimized training.

Sind Rechenstörungen genau so häufig wie Lese-Rechtschreibstörungen?

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.Fragestellung: In der Literatur wird immer wieder berichtet, dass die Pravalenzraten von Lese-Rechtschreibstorungen (LRS) und Rechenstorungen vergleichbar hoch seien. Dem entgegen steht die Tatsache, dass die Korrelation zwischen Intelligenz und Lese-Rechtschreibleistungen deutlich niedriger ist als jene zwischen Intelligenz und Rechenfertigkeiten. Dies lasst bei analoger Definition der Storungen eine deutlich geringere Pravalenzrate fur Rechenstorungen erwarten. Es wird untersucht, wie gros die Unterschiede zwischen verschiedenen Pravalenzschatzungen fur LRS und Rechenstorungen in Abhangigkeit von den Definitionskriterien sind. Methodik: Die Fragestellung wurde unter Verwendung der Daten einer grosen reprasentativen deutschen Stichprobe (N = 1970) gepruft. Ergebnisse: In Abhangigkeit von der Definition von Rechenstorungen wurden an der gleichen Stichprobe Pravalenzraten zwischen 0.1 % und 8.1 % gefunden. Bei analoger Definition von LRS und Rechenstorungen finden sich etwa zwei- bis dreimal so viele Kinde...

Cluster-Based Prediction of Mathematical Learning Patterns

This paper introduces a method to predict and analyse students’ mathematical performance by detecting distinguishable subgroups of children who share similar learning patterns. We employ pairwise clustering to analyse a comprehensive dataset of user interactions obtained from a computer-based training system. The available data consist of multiple learning trajectories measured from children with developmental dyscalculia, as well as from control children. Our online classification algorithm allows accurate assignment of children to clusters early in the training, enabling prediction of learning characteristics. The included results demonstrate the high predictive power of assignments of children to subgroups, and the significant improvement in prediction accuracy for short- and long-term performance, knowledge gaps, overall training achievements, and scores of further external assessments.

Modelling and Optimizing Mathematics Learning in Children

This study introduces a student model and control algorithm, optimizing mathematics learning in children. The adaptive system is integrated into a computer-based training system for enhancing numerical cognition aimed at children with developmental dyscalculia or difficulties in learning mathematics. The student model consists of a dynamic Bayesian network which incorporates domain knowledge and enables the operation of an online system of automatic control. The system identifies appropriate tasks and exercise interventions on the basis of estimated levels of accumulated knowledge. Student actions are evaluated and monitored to extract statistical patterns which are useful for predictive control. The training system is adaptive and personalizes the learning experience, which improves both success and motivation. Comprehensive testing of input data validates the quality of the obtained results and confirms the advantage of the optimized training. Pilot results of training effects are included and discussed.

Evaluation of a Computer-Based Training Program for Enhancing Arithmetic Skills and Spatial Number Representation in Primary School Children.

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 childs 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.

Stealth Assessment in ITS - A Study forźDevelopmental Dyscalculia

Intelligent tutoring systems are adapting the curriculum to the needs of the student. The integration of stealth assessments of student traits into tutoring systems, i.e. the automatic detection of student characteristics has the potential to refine this adaptation. We present a pipeline for integrating automatic assessment seamlessly into a tutoring system and apply the method to the case of developmental dyscalculia DD. The proposed classifier is based on user inputs only, allowing non-intrusive and unsupervised, universal screening of children. We demonstrate that interaction logs provide enough information to identify children at risk of DD with high accuracy and validity and reliability comparable to traditional assessments. Our model is able to adapt the duration of the screening test to the individual child and can classify a child at risk of DD with an accuracy of 91i?ź% after 11i?źmin on average.

Relation Between Mathematical Performance, Math Anxiety, and Affective Priming in Children With and Without Developmental Dyscalculia

Many children show negative emotions related to mathematics and some even develop mathematics anxiety. The present study focused on the relation between negative emotions and arithmetical performance in children with and without developmental dyscalculia (DD) using an affective priming task. Previous findings suggested that arithmetic performance is influenced if an affective prime precedes the presentation of an arithmetic problem. In children with DD specifically, responses to arithmetic operations are supposed to be facilitated by both negative and mathematics-related primes (=negative math priming effect).We investigated mathematical performance, math anxiety, and the domain-general abilities of 172 primary school children (76 with DD and 96 controls). All participants also underwent an affective priming task which consisted of the decision whether a simple arithmetic operation (addition or subtraction) that was preceded by a prime (positive/negative/neutral or mathematics-related) was true or false. Our findings did not reveal a negative math priming effect in children with DD. Furthermore, when considering accuracy levels, gender, or math anxiety, the negative math priming effect could not be replicated. However, children with DD showed more math anxiety when explicitly assessed by a specific math anxiety interview and showed lower mathematical performance compared to controls. Moreover, math anxiety was equally present in boys and girls, even in the earliest stages of schooling, and interfered negatively with performance. In conclusion, mathematics is often associated with negative emotions that can be manifested in specific math anxiety, particularly in children with DD. Importantly, present findings suggest that in the assessed age group, it is more reliable to judge math anxiety and investigate its effects on mathematical performance explicitly by adequate questionnaires than by an affective math priming task.

5-Jahres-Verlauf der LRS: Stabilität, Geschlechtseffekte, Schriftsprachniveau und Schulerfolg

Objective The study examines the 5-year course of children with dyslexia with regard to their sex. Furthermore, the study investigates the impact of dyslexia on the performance in reading and spelling skills and school-related success. Method A group of 995 6- to 16-year-olds were examined at the initial assessment. Part of the initial sample was then re-examined after 43 and 63 months. The diagnosis of dyslexia was based on the double discrepancy criterion using a standard deviation of 1.5. Though they had no intellectual deficits, the children showed a considerable discrepancy between their reading or writing abilities and (1) their nonverbal intelligence and (2) the mean of their grade norm. Results Nearly 70 % of those examined had a persisting diagnosis of dyslexia over a period of 63 months. The 5-year course was not influenced by sex. Despite average intelligence, the performance in writing and spelling of children suffering from dyslexia was one standard deviation below a control group without dyslexia with average intelligence and 0.5 standard deviations below a group of children suffering from intellectual deficits. Furthermore, the school-related success of the dyslexics was significantly lower than those of children with average intelligence. Dyslexics showed similar school-related success rates to children suffering from intellectual deficits. Conclusions Dyslexia represents a considerable developmental risk. The adverse impact of dyslexia on school-related success supports the importance of early diagnostics and intervention. It also underlines the need for reliable and general accepted diagnostic criteria. It is important to define such criteria in light of the prevalence rates.