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See detailDifferent aspects of spatial skills and their relation to early mathematics
Cornu, Véronique UL; Hornung, Caroline UL; Schiltz, Christine UL et al

Poster (2016, September 29)

We aimed at investigating the predictive role of spatial skills for arithmetic and number line estimation in kindergarten children (N = 125). Several studies highlighted the relation between spatial ... [more ▼]

We aimed at investigating the predictive role of spatial skills for arithmetic and number line estimation in kindergarten children (N = 125). Several studies highlighted the relation between spatial skills and mathematics. However, due to their non-unitary nature, different aspects of spatial skills need to be differentiated to clarify the relative importance of different aspects of spatial skills for mathematics. In the present study, at time 1, a spatial perception task, a spatial visualization task and visuo-motor integration task were administered to assess different aspects of spatial skills. Furthermore we assessed domain-specific skills and verbal domain-general skills. Four months later, the same children performed an arithmetic task and a number line estimation task to evaluate how the abilities measured at time 1 predict early mathematics. Hierarchical regression modelling revealed that children’s performance on the spatial perception task was predictive of their performance in both arithmetic and number line estimation, whereas visuo-motor integration and knowledge of the Arabic numerals significantly predicted arithmetic. The predictive relation between spatial perception and arithmetic was partially mediated by the number line estimation task. Our findings emphasize the role of spatial skills, notably spatial perception, in mathematical development. These results reveal the importance to differentiate within the construct of spatial skills when studying their role in numerical development. The development and implementation of pre-school interventions fostering children’s spatial perception and visuo-motor integration might thus be a promising approach for providing children with a sound foundation for later mathematical learning. [less ▲]

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See detailDéveloppement d’un instrument de dépistage des précurseurs cognitifs pour l’apprentissage scolaire dans un contexte multilingue
Cornu, Véronique UL; Hornung, Caroline UL

Poster (2016, June)

Nombreuses études ont pu constater que les aptitudes et les apprentissages précoces influencent les apprentissages académiques ultérieurs. La valeur prédictive de différentes fonctions cognitives à l’âge ... [more ▼]

Nombreuses études ont pu constater que les aptitudes et les apprentissages précoces influencent les apprentissages académiques ultérieurs. La valeur prédictive de différentes fonctions cognitives à l’âge préscolaire est un sujet toujours vivement discuté. L'apprentissage des mathématiques, de la lecture et de l'écrit sont soutenues par des fonctions cognitives telles que les capacités pré-numériques, le langage, les fonctions visuo-spatiales, les fonctions exécutives dont la mémoire de travail, la vitesse de traitement et la raisonnement logique. Néanmoins, seulement peu de données scientifiques sont actuellement disponibles sur l’apport de ces différentes fonctions cognitives aux apprentissages scolaires dans un contexte multilingue comme celui du Luxembourg. Au Luxembourg environ 35 % des élèves scolarisés à l'école maternelle parlent Luxembourgeois à la maison. La plupart des enfants parlent d'autres langues voire plusieurs langues au sein de leur famille. A l'école maternelle les enfants apprennent le Luxembourgeois pendant 2-3 ans. Ensuite en 1ère année de l'enseignement fondamental primaire public, tous les enfants sont alphabétisés en Allemand. Et ce n'est qu'un an plus tard que le Français s'ajoute aux apprentissages scolaires. L'apprentissage des langues est un projet ambitieux au Luxembourg et les résultats nationaux ont montré que 42 % des élèves en 3e année primaire (CE2) n'ont malheureusement pas obtenu le niveau minimal à atteindre visé par le plan d'étude en 2013 (Hornung, Hoffmann, Lorphelin, Gamo, Ugen, Fischbach, & Martin, 2015). Le but est de développer un instrument qui s'adapte au contexte scolaire multilingue et qui permet de mesurer ces précurseurs cognitifs d’une manière valide. Ce projet vise à mieux comprendre comment différentes capacités cognitives précoces influencent les différents apprentissages scolaires dans un contexte scolaire multilingue chez l’enfant de 4 à 7 ans et les résultats de ce projet pourront servir comme base pour pouvoir développer des outils d’intervention visant à stimuler le développement de ces précurseurs dans un contexte multilingue. La présente batterie de tests inclut plusieurs épreuves brèves individuelles pour évaluer les performances numériques et visuo-spatiales, la capacité d'inhibition verbale et d'inhibition motrice, l'empan de la mémoire de travail verbale et visuo-spatiale, la flexibilité verbale, la vitesse de traitement, la conscience phonologique, la discrimination visuelle et le vocabulaire expressif chez l’enfant de 4 à 7 ans. Ces petites épreuves visent à évaluer ces différents précurseurs cognitifs de l’apprentissage scolaire et elles ont été développées et adaptées spécifiquement pour le contexte préscolaire suite à un pilotage avec la population cible. Dans une première phase, les relations entre ces différentes épreuves seront étudiées pour pouvoir concrétiser notre compréhension sur l’interrelation de ces différents précurseurs cognitifs. Afin de pouvoir évaluer la valeur prédictive de ces différentes fonctions cognitives, une approche longitudinale est visée. Nous avons prévu de mettre en relation les résultats obtenus au préscolaire (Phase I) avec les résultats de ces mêmes enfants obtenus lors des «épreuves standardisées» du monitoring scolaire au Luxembourg, réalisées en première année de l’école primaire (CP en France) (Phase II). [less ▲]

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See detailAllgemeine Befunde zum luxemburgischen Schulwesen
Hornung, Caroline UL; Hoffmann, Danielle UL; Lorphelin, Dalia UL et al

in Martin, Romain; Ugen, Sonja; Fischbach, Antoine (Eds.) Épreuves Standardisées: Bildungsmonitoring für Luxemburg. Nationaler Bericht 2011 bis 2013 (2015)

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See detailKompetenzunterschiede aufgrund des Schülerhintergrundes
Muller, Claire UL; Reichert, Monique UL; Gamo, Sylvie UL et al

in Martin, Romain; Ugen, Sonja; Fischbach, Antoine (Eds.) Épreuves Standardisées: Bildungsmonitoring für Luxemburg. Nationaler Bericht 2011 bis 2013 (2015)

Kapitel 3 befasst sich mit dem Einfluss von Merkmalen des Schülerhintergrundes auf die in den ÉpStan gemessenen Kompetenzen. Diskrepanzen in den erfassten Kompetenzbereichen werden dabei im Hinblick auf ... [more ▼]

Kapitel 3 befasst sich mit dem Einfluss von Merkmalen des Schülerhintergrundes auf die in den ÉpStan gemessenen Kompetenzen. Diskrepanzen in den erfassten Kompetenzbereichen werden dabei im Hinblick auf folgende vier Hintergrundvariablen untersucht: sozioökonomischer Status, Migrationshintergrund, Sprachhintergrund, sowie das Geschlecht der Schülerinnen und Schüler. Bestehende Unterschiede werden vergleichend für die Jahre 2011, 2012 und 2013 aufgeführt (Zyklus 3.1 und Ve/9e). Das einflussreichste Merkmal ist dabei der sozioökonomische Status, gefolgt von der zuhause gesprochenen Sprache. Der Migrationshintergrund wirkt sich in geringerem Maße bis gar nicht auf die Kompetenzen aus. Der Einfluss des Geschlechtes zeigt sich konform mit einer großen Anzahl von Befunden aus der Forschung: Mädchen erzielen im Durchschnitt bessere Ergebnisse in den Sprachen, während Jungen in Mathematik besser abschneiden. [less ▲]

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See detailDifférence de genre en mathématiques chez les élèves de 3ème et 9ème année d’étude : Etude à grande échelle au Grand-Duché de Luxembourg
Gamo, Sylvie UL; Sonnleitner, Philipp UL; Hornung, Caroline UL et al

Poster (2014, June)

ÉpStan (Épreuves Standardisées) est une étude annuelle à grande échelle réalisée à Luxembourg depuis 2009. Les ÉpStan ont pour objectif d’évaluer le système éducatif luxembourgeois, en particulier le ... [more ▼]

ÉpStan (Épreuves Standardisées) est une étude annuelle à grande échelle réalisée à Luxembourg depuis 2009. Les ÉpStan ont pour objectif d’évaluer le système éducatif luxembourgeois, en particulier le niveau de compétences atteint en mathématiques des élèves de 3ème et de 9ème année d’étude (âgés en moyenne de 8 ans vs. 14 ans). A partir des résultats mathématiques ÉpStan 2013 du primaire et du secondaire, cette recherche vise d’une part, à examiner si l’écart de performance mathématique entre les sexes constaté par PISA 2012 chez les élèves de 15 ans luxembourgeois est confirmé chez les élèves de 14 ans et chez les élèves plus jeunes (8 ans), (Robinson, & Theule Lubienski, 2011) et d’autre part, à tester si les écarts de performance entre les sexes reflètent des différences de motivation et de confiance en soi et d’anxiété. [less ▲]

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See detailPredicting first-grade mathematics achievement: the contributions of domain-general cognitive abilities, nonverbal number sense, and early number competence
Hornung, Caroline UL; Schiltz, Christine UL; Brunner, Martin UL et al

in Frontiers in Psychology [=FPSYG] (2014), 5

Early number competence, grounded in number-specific and domain-general abilities, is supposed to lay the foundation for later math achievement. Few longitudinal studies tested a comprehensive model for ... [more ▼]

Early number competence, grounded in number-specific and domain-general abilities, is supposed to lay the foundation for later math achievement. Few longitudinal studies tested a comprehensive model for early math development. Using structural equation modeling and mediation analyses, we studied the influence of kindergarteners’ basic cognitive abilities (i.e., nonverbal number sense, working memory, fluid intelligence, and receptive vocabulary) and their early number competence (i.e., symbolic number skills) on first grade math achievement (arithmetic, shape and space, and number line estimation) assessed one year later. Latent regression models revealed that nonverbal number sense and working memory are central building blocks for developing early number competence in kindergarten and that early number competence is key for first grade math achievement. Fluid intelligence significantly predicted arithmetic and number line estimation while receptive vocabulary significantly predicted shape and space after controlling for early number competence. In sum we suggest that early math achievement draws on different constellations of number-specific and domain-general mechanisms. [less ▲]

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See detailAssessing Mathematical Competencies within the Luxembourgish School Monitoring Program: Covering the range from 1st to 9th grade.
Sonnleitner, Philipp UL; Gamo, Sylvie UL; Hornung, Caroline UL et al

Scientific Conference (2014, April)

As a direct reaction to alarmingly poor student performance in PISA, like many other European countries Luxembourg started to establish a very ambitious school monitoring program: the Épreuves ... [more ▼]

As a direct reaction to alarmingly poor student performance in PISA, like many other European countries Luxembourg started to establish a very ambitious school monitoring program: the Épreuves Standardisées (ÉpStan). One of the core competencies that are measured is, of course, mathematical achievement. Beginning with grade 1 and continued in grade 3 and grade 9, students’ proficiency in several mathematical sub-competencies is assessed. Students have to demonstrate their mathematical problem solving skills in theoretical as well as applied contexts. This design not only allows for tracking individual students’ development of mathematical abilities but also allows for a better understanding of factors that influence this process ̶ a rich and valuable source for the determination of risk factors and the implementation of individual support programs. However, due to the early beginning of this comprehensive program and the heterogeneity of Luxembourg’s students in terms of cultural background and spoken language, several challenges arise, especially for test development. We will present and discuss the theoretical framework of mathematical competencies that is assessed within the ÉpStan and we will show how we are currently using possibilities of computer-based assessment and test design in order to respond to these challenges. [less ▲]

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See detailGender differences in mathematics achievement in 3rd and 9th grade students: A large-scale study in Luxembourg.
Gamo, Sylvie UL; Sonnleitner, Philipp UL; Hornung, Caroline UL et al

Poster (2014, March 30)

Since 2009, ÉpStan (Épreuves Standardisées) is an annual large-scale study in Luxembourg. It aims to evaluate Luxembourg's school system, in particular students’ achieved competency level in mathematics ... [more ▼]

Since 2009, ÉpStan (Épreuves Standardisées) is an annual large-scale study in Luxembourg. It aims to evaluate Luxembourg's school system, in particular students’ achieved competency level in mathematics implemented in 3rd and 9th grade. The present study aims to investigate whether the existing gender gap in mathematics among 15-year-olds revealed by PISA 2012 can be confirmed in ÉpStan 9th grade and if it already exists in younger students’ mathematics performance (ÉpStan 3rd grade) (Robinson, & Theule Lubienski, 2011). Further, we study wether a gender gap in students’ drive, motivation and self-beliefs concerning mathematics performance exists. [less ▲]

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See detailIstzustand und Ausbau der Épreuves Standardisées (ÉpStan)
Fischbach, Antoine UL; Ugen, Sonja UL; Muller, Claire UL et al

Presentation (2014, January)

Detailed reference viewed: 74 (11 UL)
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See detailDeveloping number–space associations: SNARC effects using a color discrimination task in 5-year-olds
Hoffmann, Danielle UL; Hornung, Caroline UL; Martin, Romain UL et al

in Journal of Experimental Child Psychology (2013), 116

Human adults’ numerical representation is spatially oriented; consequently, participants are faster to respond to small/large numerals with their left/right hand, respectively, when doing a binary ... [more ▼]

Human adults’ numerical representation is spatially oriented; consequently, participants are faster to respond to small/large numerals with their left/right hand, respectively, when doing a binary classification judgment on numbers, known as the SNARC (spatial– numerical association of response codes) effect. Studies on the emergence and development of the SNARC effect remain scarce. The current study introduces an innovative new paradigm based on a simple color judgment of Arabic digits. Using this task, we found a SNARC effect in children as young as 5.5 years. In contrast, when preschool children needed to perform a magnitude judgment task necessitating exact number knowledge, the SNARC effect started to emerge only at 5.8 years. Moreover, the emergence of a magnitude SNARC but not a color SNARC was linked to proficiency with Arabic digits. Our results suggest that access to a spatially oriented approximate magnitude representation from symbolic digits emerges early in ontogenetic development. Exact magnitude judgments, on the other hand, rely on experience with Arabic digits and, thus, necessitate formal or informal schooling to give access to a spatially oriented numerical representation. [less ▲]

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See detailLEARN stellt sech fier
Engel de Abreu, Pascale UL; Schiltz, Christine UL; Hoffmann, Danielle UL et al

E-print/Working paper (2013)

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See detailZusammenfassung der Ergebnisse von PISA 2012 / Synthèse des résultats de PISA 2012
Wrobel, Gina UL; Dierendonck, Christophe UL; Fischbach, Antoine UL et al

in SCRIPT; EMACS (Eds.) PISA 2012. Nationaler Bericht Luxemburg (2013)

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See detailMädchen und Jungen
Hornung, Caroline UL; Hoffmann, Danielle UL; Lorphelin, Dalia UL et al

in SCRIPT; EMACS (Eds.) PISA 2012. Nationaler Bericht Luxemburg (2013)

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See detailLEARN stellt sech fier
Engel de Abreu, Pascale UL; Schiltz, Christine UL; Hoffmann, Danielle UL et al

E-print/Working paper (2012)

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See detailA developmental investigation of the SNARC effect using a colour discrimination task.
Hoffmann, Danielle UL; Hornung, Caroline UL; Martin, Romain UL et al

Presentation (2012, July 17)

How do number-space interactions develop from childhood to adulthood? The SNARC effect (Spatial Numerical Association of Response Codes) reflects the finding that participants respond faster to small ... [more ▼]

How do number-space interactions develop from childhood to adulthood? The SNARC effect (Spatial Numerical Association of Response Codes) reflects the finding that participants respond faster to small numbers with their left hand and to large numbers with their right hand during a number classification task. Typically assessed through magnitude-independent parity judgment tasks, the SNARC effect is thought to show the automaticity of the number-space link. Using a parity task on children Berch et al. (1999) found a SNARC effect no earlier than from 9.2 years onwards. However, we hypothesise that parity judgments might be inappropriate to assess younger children. Therefore a more age-apropriate colour judgment task (implicit) and a magnitude judgement task (explicit) were designed and tested on 363 children from kindergarten to Grade 6 (5.8-12 years). The experimental tasks were complemented by a brief assessment of arithmetic skills. The results revealed overall significant SNARC effects [colour task t(355)=2.6, p<0.01; magnitude task t(340)=4.7, p<0.001], which interacted with grade [colour task F(6,355)=2.18; p<0.05; magnitude task F(6,340)=2.09; p=0.05]. Most interestingly, even the kindergartners already display both effects [colour task t(28)=1.96; p<0.05; magnitude task t(24)=1.7; p=0.05]. These results show explicit and implicit access to numerical magnitude in children as young as 5.8 years. [less ▲]

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See detailA developmental investigation of the SNARC effect using a colour discrimination task.
Hoffmann, Danielle UL; Hornung, Caroline UL; Mussolin, Christophe et al

Poster (2012)

How do number-space interactions develop from childhood to adulthood? The SNARC effect (Spatial Numerical Association of Response Codes) reflects the finding that participants respond faster to small ... [more ▼]

How do number-space interactions develop from childhood to adulthood? The SNARC effect (Spatial Numerical Association of Response Codes) reflects the finding that participants respond faster to small numbers with their left hand and to large numbers with their right hand during a number classification task. Typically assessed through magnitude-independent parity judgment tasks, the SNARC effect is thought to show the automaticity of the number-space link. Using a parity task on children Berch et al. (1999) found a SNARC effect no earlier than from 9.2 years onwards. However, we hypothesise that parity judgments might be inappropriate to assess younger children. Therefore a more age-appropriate colour judgment task (implicit) and a magnitude judgement task (explicit) were designed and tested on 363 children from kindergarten to Grade 6 (5.8-12 years). The experimental tasks were complemented by a brief assessment of arithmetic skills. The results revealed overall significant SNARC effects [colour task t(355)=2.6, p<0.01; magnitude task t(340)=4.7, p<0.001], which interacted with grade [colour task F(6,355)=2.18; p<0.05; magnitude task F(6,340)=2.09; p=0.05]. Most interestingly, even the kindergartners already display both effects [colour task t(28)=1.96; p<0.05; magnitude task t(24)=1.7; p=0.05]. These results show explicit and implicit access to numerical magnitude in children as young as 5.8 years. [less ▲]

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See detailWorking memory in 5-to-7 year-old children: Its structure and relationship to fluid intelligence
Hornung, Caroline UL; Brunner, Martin UL; Reuter, Robert UL et al

Scientific Conference (2011, August 24)

Working memory (WM) has been predominantly studied in adults. The insights provided by these studies have led to the development of competing theories on the structure of WM and conflicting conclusions on ... [more ▼]

Working memory (WM) has been predominantly studied in adults. The insights provided by these studies have led to the development of competing theories on the structure of WM and conflicting conclusions on how strongly WM components are related to higher order thinking skills such as fluid intelligence (GF). However, it remains unclear whether and to what extent the theories and findings derived from adult data generalize to children. The purpose of the present study was therefore to investigate WM in 5-to-7-year-old children (N = 161). Specifically, we examined different structural models of WM and how its components, as defined in these models, are related to GF. Our results suggest that children draw on both domain- general and domain-specific processes when performing memory span. Crucially, our findings indicate that domain-general processes result in a core storage capacity that primarily explains the relationship between WM and GF. Based on these observations we discuss the theoretical and methodological issues that arise when children’s WM is investigated. [less ▲]

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See detailLongitudinal predictors of early mathematics: Number-specific versus domain-general mechanisms?
Hornung, Caroline UL; Brunner, Martin; Schiltz, Christine UL et al

Poster (2011, February 11)

Longitudinal predictors of early mathematics: Number-specific versus domain-general mechanisms? What is a good basis for developing mathematical competencies? While some authors propose that number ... [more ▼]

Longitudinal predictors of early mathematics: Number-specific versus domain-general mechanisms? What is a good basis for developing mathematical competencies? While some authors propose that number-specific abilities primarily contribute to early math development, other authors suggest that domain-general abilities are key. [less ▲]

Detailed reference viewed: 39 (5 UL)