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Although the general development of mathematical abilities in primary school has been the focus of many researchers, the development of place value understanding has rarely been investigated to date. This is possibly due to the lack of conceptual approaches and empirical studies related to this topic. To fill this gap, a theory-driven and empirically validated model was developed that describes five sequential conceptual levels of place value understanding. The level sequence model gives us the ability to estimate general abilities and difficulties in primary school pupils in the development of a conceptual place value understanding. The level sequence model was tried and tested in Germany, and given that number words are very differently constructed in German and in the languages used in South African classrooms, this study aims to investigate whether this level sequence model can be transferred to South Africa. The findings based on the responses of 198 Grade 2-4 learners show that the English translation of the test items results in the same item level allocation as the original German test items, especially for the three basic levels. Educational implications are provided, in particular concrete suggestions on how place value might be taught according to the model and how to collect specific empirical data related to place value understanding.
This study examined a theoretical model hypothesizing that reading strategies mediate the effects of intrinsic reading motivation, reading fluency, and vocabulary knowledge on reading comprehension. Using path analytic methods, we tested the direct and indirect effects specified in the hypothesized model in a sample of 1105 fifth-graders. In addition to standardized tests and questionnaires, we administered a performance test to assess students' proficiency in the application of three reading strategies. The overall fit of the model to the data was good. Both cognitive (fluency and vocabulary) and motivational (intrinsic reading motivation) variables had an indirect effect on reading comprehension through their influence on reading strategies. Reading strategies had a unique effect on reading comprehension and partially mediated the effects that cognitive and motivational variables had on fifth-graders' reading achievements.
The important role that metacognition plays as a predictor for student mathematical learning and for mathematical problem-solving, has been extensively documented. But only recently has attention turned to primary grades, and more research is needed at this level. The goals of this paper are threefold: (1) to present metacognitive framework during mathematics problem-solving, (2) to describe their multi-method interview approach developed to study student mathematical metacognition, and (3) to empirically evaluate the utility of their model and the adaptation of their approach in the context of grade 2 and grade 4 mathematics problem-solving. The results are discussed not only with regard to further development of the adapted multi-method interview approach, but also with regard to their theoretical and practical implications.
This study investigates the effect of bilingualism on learning English as a foreign language (L3), examining the impact of manner and sequence of bilingual acquisition and learning as well as language use practices in language minority children. With a sample of 1295 German eighth and ninth graders (bilingual: n = 456, monolingual: n = 839), we examined if certain aspects of bilingualism present an advantageous condition for learning English as a foreign language in bilingual language minority students. Controlling for socio-economic status, indicators of cultural capital, and gender, the regression analyses revealed higher L3 listening and reading outcomes for bilinguals who received formal instruction in their minority language, had acquired both languages in their first three years, and switched more often between their two languages, when compared to their other bilingual and monolingual peers. The discussion focuses on the importance for bilingual children in immigrant communities to have high proficiencies in both majority and minority languages in order to develop advantages in foreign language learning.
In this study, reciprocal teaching (RT) was combined with specific self-regulation procedures to promote the reading comprehension of fifth grade students. Twenty four classes with N = 534 students were assigned to RT plus strategy implementation procedures (RT +SIP), RT plus outcome regulation procedures (RT + ORP), RT plus strategy implementation and outcome regulation procedures (RT+ SRL), or RT without explicit instruction in self-regulation. At maintenance students assigned to the three self-regulation conditions outperformed RT students according to a standardized measure of reading comprehension. RT+ SIP and RT + SRL students outperformed RI as well as RI + ORP students using a measure of reading strategy performance. However, reading comprehension was only mediated by strategy performance under the RT + SRL condition. Among students assigned to the RI + ORP condition, an improvement in reading motivation between pretest and posttest and between posttest and maintenance was observed. (C) 2014 Elsevier Ltd. All rights reserved.
Does competent bilingualism entail advantages for the third language learning of immigrant students?
(2018)
This study examined the role of immigrant bilingualism in third language learning (L3 = English). It focused on the respective effects of students' competence in the minority language (L1 = Turkish or Russian) and language of instruction (L2 = German). We analyzed a sample of 8752 German 10th-grade students (N = 7964 monolinguals, N = 436 Turkish-German students, N = 352 Russian-German students) and drew on standardized tests in L1, L2, and L3. OLS-regression models showed L3 advantages for balanced bilinguals at a high level in both language groups compared to their average monolingual peers when third variables were controlled, while advantages in the L2 dominant bilinguals could only be observed in the Russian-German sample. Balanced bilinguals at a low level and L1 dominants attained lower L3 levels than monolinguals. However, comparisons with comparably high proficient monolinguals, as well as further analyses with the bilingual samples separately, revealed that only L2 competence – and not L1 competence – explained immigrant students' L3 proficiency. Our findings indicate that the advantages of immigrant bilinguals in L3 learning mainly depend on their competence in the language of instruction.
Editorial
(2008)
Germany is continuously expanding its inclusive education system. Research provides evidence that students with special educational needs (SEN) in inclusive school settings show lower academic achievement and come from lower socioeconomic backgrounds than their peers without SEN. Identifying to what extent the disadvantages originating from both characteristics are confounded in predicting academic achievement, has been neglected in the German educational context. Using data of 1711 primary and secondary school students from a longitudinal study in the state of Brandenburg, this study evaluates to what degree SEN (in the areas of learning and emotional-social difficulties) and socioeconomic background (SES) are confounded in predicting academic initial achievement in reading and mathematics as well as their development over time. Using multilevel modelling techniques that nest three measurement points into students and students into classes, results identify SES and SEN as relevant predictors of achievement status and growth in both subjects. Only few and small mediation effects of SES were found, indicating that both SES and SEN remain independent risk factors for achievement. Understanding the origins of student disadvantage can help teachers to make better informed choices for designing support measures and aid policymakers' reasoning for resource allocations.
Letter knowledge is considered an important cognitive foundation for learning to read. The underlying mechanisms of the association between letter knowledge and reading skills are, however, not fully understood. Acquiring letter knowledge depends on the ability to learn and retrieve sound–symbol pairings. In the current study, this process was explored by setting preschool children’s (N = 242, mean age = 5.57 years) performance in the acquisition and retrieval of a paired associate learning (PAL) task in relation to their letter knowledge as well as to their performance in tasks assessing precursors of reading skills (i.e., phonological awareness, rapid automatized naming, phonological short-term memory, backward recall, and response inhibition). Multiple regression analyses revealed that performance in the acquisition of the PAL task was significantly associated with phonological awareness and backward recall, whereas performance in the retrieval of the PAL task was significantly associated with rapid automatized naming, phonological awareness, and backward recall. Moreover, PAL proved to be mediating the relation between reading precursors and letter knowledge. Together, these findings indicate that the acquisition of letter knowledge may depend on a visual–verbal associative learning mechanism and that different factors contribute to the acquisition and retrieval of such visual–verbal associations.
This article describes architectural extensions for a dynamically scheduled processor to enable three different operation modes, ranging from high-performance, to high-reliability. With minor extensions of the control path, the resources of the super-scalar data-path can be used either for high-performance execution, fail-safe-operation, or fault-tolerant-operation. Furthermore, the online error-correction capabilities are combined with reconfiguration techniques for permanent fault handling. This reconfiguration can take defective components out of operation permanently, and can be triggered on-demand during runtime, depending on the frequency of online corrected faults. A comprehensive fault simulation was carried out in order to evaluate hardware overhead, fault coverage and performance penalties of the proposed approach. Moreover, the impact of the permanent reconfiguration regarding the reliability and performance is investigated.
In this classroom intervention study, reciprocal teaching (RI) of reading strategies was combined with explicit instruction in self-regulated learning (SRL) to promote the reading comprehension of fifth-grade students (N = 306). Twelve intact classes were randomly assigned either to an RT + SRL condition or to an RI condition without explicit instruction in self-regulation. Three additional classes served as a no-treatment comparison group. Strategies instruction was delivered by trained assistants in conventional German language lessons. Students practiced the application of these strategies in small groups. Both at posttest and at maintenance (8 weeks after the intervention), students in the two intervention conditions (RT and RI + SRL) outperformed comparison students in measures of reading comprehension, strategy-related task performance, and self-efficacy for reading. Relative to RI students, students in the RI + SRL condition were better able to maintain training-induced performance gains over the follow-up interval. A moderated mediation analysis revealed that this difference in the sustainability of the two treatments was (a) mediated by the successful mastery of the learned strategies and (b) most evident among students with poor reading fluency skills.
Learning handwriting
(2021)
Skilled handwriting of single letters is associated not only with a neat final product but also with fluent pen-movement, characterized by a smooth pen-tip velocity profile. Our study explored fluency when writing single letters in children who were just beginning to learn to handwrite, and the extent to which this was predicted by the children's pen-control ability and by their letter knowledge. 176 Norwegian children formed letters by copying and from dictation (i.e., in response to hearing letter sounds). Performance on these tasks was assessed in terms of the counts of velocity inversions as the children produced sub-letter features that would be produced by competent handwriters as a single, smooth (ballistic) action. We found that there was considerable variation in these measures across writers, even when producing well-formed letters. Children also copied unfamiliar symbols, completed various pen-control tasks (drawing lines, circles, garlands, and figure eights), and tasks that assessed knowledge of letter sounds and shapes. After controlling for pen-control ability, pen-movement fluency was affected by letter knowledge (specifically children's performance on a task that required selecting graphemes on the basis of their sound). This was the case when children retrieved letter forms from dictated letter sounds, but also when directly copying letters and, unexpectedly, when copying unfamiliar symbols. These findings suggest that familiarity with a letter affects movement fluency during letter production but may also point towards a more general ability to process new letter-like symbols in children with good letter knowledge.