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Research based on the Eccles model of parent socialization demonstrated that parents are an important source of value and ability information for their children. Little is known, however, about the bidirectional effects between students’ perceptions of their parents’ beliefs and behaviors and the students’ own domain-specific values. This study analyzed how students’ perceptions of parents’ beliefs and behaviors and students’ mathematics values and mathematics-related career plans affect each other bidirectionally, and analyzed the role of students’ gender as a moderator of these relations. Data from 475 students in 11th and 12th grade (girls: 50.3%; 31 classrooms; 12 schools), who participated in 2 waves of the study, were analyzed. Results of longitudinal structural equation models demonstrated that students’ perceptions of their parents’ mathematics value beliefs at Time 1 affected the students’ own mathematics utility value at Time 2. Bidirectional effects were not shown in the full sample but were identified for boys. The paths within the tested model varied for boys and girls. For example, boys’, not girls’, mathematics intrinsic value predicted their reported conversations with their fathers about future occupational plans. Boys’, not girls’, perceived parents’ mathematics value predicted the mathematics utility value. Findings are discussed in relation to their implications for parents and teachers, as well as in relation to gendered motivational processes.
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.
Spinal muscular atrophy (SMA) and Duchenne muscular dystrophy (DMD) both are rare genetic neuromuscular diseases with progressive loss of motor ability. The neuromotor developmental course of those diseases is well documented. In contrast, there is only little evidence about characteristics of general and specific cognitive development. In both conditions the final motor outcome is characterized by an inability to move autonomously: children with SMA never accomplish independent motoric exploration of their environment, while children with DMD do but later lose this ability again. These profound differences in developmental pathways might affect cognitive development of SMA vs. DMD children, as cognition is shaped by individual motor experiences. DMD patients show impaired executive functions, working memory, and verbal IQ, whereas only motor ability seems to be impaired in SMA. Advanced cognitive capacity in SMA may serve as a compensatory mechanism for achieving in education, career progression, and social satisfaction. This study aimed to relate differences in basic numerical concepts and arithmetic achievement in SMA and DMD patients to differences in their motor development and resulting sensorimotor and environmental experiences. Horizontal and vertical spatial-numerical associations were explored in SMA/DMD children ranging between 6 and 12 years through the random number generation task. Furthermore, arithmetic skills as well as general cognitive ability were assessed. Groups differed in spatial number processing as well as in arithmetic and domain-general cognitive functions. Children with SMA showed no horizontal and even reversed vertical spatial-numerical associations. Children with DMD on the other hand revealed patterns in spatial numerical associations comparable to healthy developing children. From the embodied Cognition perspective, early sensorimotor experience does play a role in development of mental number representations. However, it remains open whether and how this becomes relevant for the acquisition of higher order cognitive and arithmetic skills.
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.