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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.
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.
Early numeracy is one of the strongest predictors for later success in school mathematics (e.g., Duncan et al., 2007). The main goal of first grade mathematics teachers should therefore be to provide learning opportunities that enable all students to develop sound early numeracy skills. Developmental models, or learning progressions, can describe how early numerical understanding typically develops. Assessments that are aligned to empirically validated learning progressions can support teachers to understand their students learning better and target instruction accordingly. To date, there have been no progression-based instruments made available for German teachers to monitor their students’ progress in the domain of early numeracy. This dissertation contributes to the design of such an instrument. The first study analysed the suitability of early numeracy assessments currently used in German primary schools at school entry to identify students’ individual starting points for subsequent progress monitoring. The second study described the development of progression-based items and investigated the items in regards to main test quality criteria, such as reliability, validity, and test fairness, to find a suitable item pool to build targeted tests. The third study described the construction of the progress monitoring measure, referred to as the learning progress assessment (LPA). The study investigated the extent to which the LPA was able to monitor students’ individual learning progress in early numeracy over time. The results of the first study indicated that current school entry assessments were not able to provide meaningful information about the students’ initial learning status. Thus, the MARKO-D test (Ricken, Fritz, & Balzer, 2013) was used to determine the students’ initial numerical understanding in the other two studies, because it has been shown to be an effective measure of conceptual numerical understanding (Fritz, Ehlert, & Leutner, 2018). Both studies provided promising evidence for the quality of the LPA and its ability to detect changes in numerical understanding over the course of first grade. The studies of this dissertation can be considered an important step in the process of designing an empirically validated instrument that supports teachers to monitor their students’ early numeracy development and to adjust their teaching accordingly to enhance school achievement.