Changes in the Relation Between Competence Beliefs and Achievement in Math Across Elementary School Years.

Math competence beliefs and achievement are important outcomes of school-based learning. Previous studies yielded inconsistent results on whether skill development, self-enhancement, or reciprocal effects account for the interplay among them. A development-related change in the direction of their relation in the early school years might explain the inconsistency. To test this, 542 German elementary school students (M = 7.95 years, SD = 0.58) were repeatedly investigated over 24 months from Grade 2 to Grade 4. Math competence beliefs declined and had a growing influence on subsequent math grades. This suggests changes in the dominant direction of the relation from a skill development to a reciprocal effects model during elementary school. Findings are discussed with regard to their theoretical and practical implications.

Why children differ in motivation to learn: Insights from over 13,000 twins from 6 countries.

Little is known about why people differ in their levels of academic motivation. This study explored the etiology of individual differences in enjoyment and self-perceived ability for several school subjects in nearly 13,000 twins aged 9-16 from 6 countries. The results showed a striking consistency across ages, school subjects, and cultures. Contrary to common belief, enjoyment of learning and children's perceptions of their competence were no less heritable than cognitive ability. Genetic factors explained approximately 40% of the variance and all of the observed twins' similarity in academic motivation. Shared environmental factors, such as home or classroom, did not contribute to the twin's similarity in academic motivation. Environmental influences stemmed entirely from individual specific experiences.

Neural efficiency as a function of task demands.

The neural efficiency hypothesis describes the phenomenon that brighter individuals show lower brain activation than less bright individuals when working on the same cognitive tasks. The present study investigated whether the brain activation-intelligence relationship still applies when more versus less intelligent individuals perform tasks with a comparable person-specific task difficulty. In an fMRI-study, 58 persons with lower (n = 28) or respectively higher (n = 30) intelligence worked on simple and difficult inductive reasoning tasks having the same person-specific task difficulty. Consequently, less bright individuals received sample-based easy and medium tasks, whereas bright subjects received sample-based medium and difficult tasks. This design also allowed a comparison of lower versus higher intelligent individuals when working on the same tasks (i.e. sample-based medium task difficulty). In line with expectations, differences in task performance and in brain activation were only found for the subset of tasks with the same sample-based task difficulty, but not when comparing tasks with the same person-specific task difficulty. These results suggest that neural efficiency reflects an (ability-dependent) adaption of brain activation to the respective task demands.

[Changes in psychological stress after interventions in children and adolescents with mathematical learning disabilities]. / Veränderungen psychischer Belastung durch die Förderung von rechenschwachen Kindern und Jugendlichen.

OBJECTIVE: The present study examined the effects of the Waterglass Intervention Program on children with mathematical learning disabilities compared to dyscalculic children who received private tutoring. METHOD: In a pre-post-control group design, N = 46 children (age 7-12) and their parents were questioned about changes in test anxiety, school reluctance, anxiety disorder, and internal and external abnormality. RESULTS: Children who attended the Waterglass Intervention Program reported a higher reduction of test anxiety, school reluctance, and attention problems. A trend toward a higher reduction of the CBCL-score was also found. These changes were mediated by the changes in math school grades. Furthermore, results showed that more children showed internal disorders than would be expected. CONCLUSIONS: An intervention specific for children with mathematical learning disabilities has positive effects on the psychological stress level of these children. Further research is required to investigate the mechanisms related to these changes and the effects on mathematical achievement.

Ability self-concept formation in elementary school: No dimensional comparison effects across time.

In line with the reciprocal internal/external frame of reference model (RI/E model), it is well-established that secondary school students generate domain-specific ability self-concepts by comparing their own performance in a domain socially (i.e., with others' performance in this domain) and dimensionally (i.e., with their own performance in other domains). However, developmental theories of ability conceptions suggest that the use of such performance comparisons to evaluate own abilities may differ by students' developmental stage because of important developmental changes between early and late childhood. Yet, to our knowledge, no study has investigated dimensional comparison effects in elementary school longitudinally although this can provide valuable information on the formation of ability self-concepts. Thus, we tested whether longitudinal dimensional effects on changes in students' ability self-concepts occur in the early school years. Ability self-concepts and grades in math and German of 542 German elementary school students were assessed seven times over 24 months from Grade 2 (M = 7.95 years of age, SD = 0.58) to Grade 4. Cross-sectional analyses showed some evidence for dimensional effects of students' math grades on their German self-concepts, but not of students' German grades on their math self-concepts. Longitudinal analyses with latent cross-lagged models revealed no evidence for longitudinal dimensional effects on changes in children's ability self-concepts. Findings indicate that dimensional comparisons are not as important in ability self-concept formation in the first school years as they tend to be later on. Findings underline the importance of considering developmental differences to better understand ability self-concept formation. (PsycINFO Database Record (c) 2019 APA, all rights reserved).

The Importance of Students' Motivation for Their Academic Achievement - Replicating and Extending Previous Findings.

Achievement motivation is not a single construct but rather subsumes a variety of different constructs like ability self-concepts, task values, goals, and achievement motives. The few existing studies that investigated diverse motivational constructs as predictors of school students' academic achievement above and beyond students' cognitive abilities and prior achievement showed that most motivational constructs predicted academic achievement beyond intelligence and that students' ability self-concepts and task values are more powerful in predicting their achievement than goals and achievement motives. The aim of the present study was to investigate whether the reported previous findings can be replicated when ability self-concepts, task values, goals, and achievement motives are all assessed at the same level of specificity as the achievement criteria (e.g., hope for success in math and math grades). The sample comprised 345 11th and 12th grade students (M = 17.48 years old, SD = 1.06) from the highest academic track (Gymnasium) in Germany. Students self-reported their ability self-concepts, task values, goal orientations, and achievement motives in math, German, and school in general. Additionally, we assessed their intelligence and their current and prior Grade point average and grades in math and German. Relative weight analyses revealed that domain-specific ability self-concept, motives, task values and learning goals but not performance goals explained a significant amount of variance in grades above all other predictors of which ability self-concept was the strongest predictor. Results are discussed with respect to their implications for investigating motivational constructs with different theoretical foundation.

Longitudinal analysis of intrinsic motivation and competence beliefs: is there a relation over time?

The present study explored whether competence beliefs and intrinsic motivation for different school domains show reciprocal effects over time. A sample of 670 German elementary school pupils (M= 8.8 years, SD= 0.51) was followed over 1 year. At 4 measurement occasions, children completed self-reports on their intrinsic motivation and competence beliefs for math, German, and school in general. Latent growth models revealed that intrinsic motivation and competence beliefs decreased over time. Comparing correlational and cross-lagged structural equation models yielded only weak evidence for cross-lagged influences between the 2 constructs. Results suggest that the developmental curves of competence beliefs and intrinsic motivation might be less inextricably interwoven than frequently assumed.

Conservation Abilities, Visuospatial Skills, and Numerosity Processing Speed: Association With Math Achievement and Math Difficulties in Elementary School Children.

The aim of the present study was to investigate the associations between elementary school children's mathematical achievement and their conservation abilities, visuospatial skills, and numerosity processing speed. We also assessed differences in these abilities between children with different types of learning problems. In Study 1 ( N = 229), we investigated second to fourth graders and in Study 2 ( N = 120), third and fourth graders. Analyses revealed significant contributions of numerosity processing speed and visuospatial skills to math achievement beyond IQ. Conservation abilities were predictive in Study 1 only. Children with math difficulties showed lower visuospatial skills and conservation abilities than children with typical achievement levels and children with reading and/or spelling difficulties, whereas children with combined difficulties explicitly showed low conservation abilities. These findings provide further evidence for the relations between children's math skills and their visuospatial skills, conservation abilities, and processing speed and contribute to the understanding of deficits that are specific to mathematical difficulties.

Are WISC IQ scores in children with mathematical learning disabilities underestimated? The influence of a specialized intervention on test performance.

BACKGROUND: Intelligence measures play a pivotal role in the diagnosis of mathematical learning disabilities (MLD). Probably as a result of math-related material in IQ tests, children with MLD often display reduced IQ scores. However, it remains unclear whether the effects of math remediation extend to IQ scores. AIMS: The present study investigated the impact of a special remediation program compared to a control group receiving private tutoring (PT) on the WISC IQ scores of children with MLD. METHODS: We included N=45 MLD children (7-12 years) in a study with a pre- and post-test control group design. Children received remediation for two years on average. RESULTS: The analyses revealed significantly greater improvements in the experimental group on the Full-Scale IQ, and the Verbal Comprehension, Perceptual Reasoning, and Working Memory indices, but not Processing Speed, compared to the PT group. Children in the experimental group showed an average WISC IQ gain of more than ten points. CONCLUSION: Results indicate that the WISC IQ scores of MLD children might be underestimated and that an effective math intervention can improve WISC IQ test performance. Taking limitations into account, we discuss the use of IQ measures more generally for defining MLD in research and practice.

Math grades and intrinsic motivation in elementary school: A longitudinal investigation of their association.

BACKGROUND: It is often argued that the negative development of intrinsic motivation in elementary school strongly depends on the presence of school grades because grades represent extrinsic consequences and achievement feedback that are supposed to influence intrinsically motivated behaviour. However, only a few studies have tested this hypothesis. AIMS: Therefore, we investigated the role of school grades in inter- and intra-individual changes in elementary school students' intrinsic motivation from when grades were first introduced until the end of elementary school, when students in Germany receive recommendations for a secondary school type on the basis of their prior performance in school. SAMPLE: A sample of 542 German elementary school students (t1 : M = 7.95 years, SD = 0.57) was followed for 2 years from the end of Grade 2 to the end of Grade 4. METHODS: At seven measurement occasions, children's math grades and their domain-specific intrinsic motivation were assessed. RESULTS: Latent growth curve models showed differences in trajectories of intrinsic motivation across students rather than uniform development. Moreover, students' trajectories of grades and intrinsic motivation were only weakly associated. A latent cross-lagged model revealed that reciprocal effects between the two constructs over time were small at best. CONCLUSIONS: Contrary to theoretical considerations, our results indicate that negative performance feedback in the form of grades does not necessarily lead to a decrease in intrinsic motivation. This calls into question the common opinion that a perception of being less competent, as reflected by poor grades, is responsible for weakening students' intrinsic motivation.