TY - GEN A1 - Sixtus, Elena A1 - Lonnemann, Jan A1 - Fischer, Martin H. A1 - Werner, Karsten T1 - Mental Number Representations in 2D Space T2 - Postprints der Universität Potsdam Humanwissenschaftliche Reihe N2 - There is evidence both for mental number representations along a horizontal mental number line with larger numbers to the right of smaller numbers (for Western cultures) and a physically grounded, vertical representation where “more is up.” Few studies have compared effects in the horizontal and vertical dimension and none so far have combined both dimensions within a single paradigm where numerical magnitude was task-irrelevant and none of the dimensions was primed by a response dimension. We now investigated number representations over both dimensions, building on findings that mental representations of numbers and space co-activate each other. In a Go/No-go experiment, participants were auditorily primed with a relatively small or large number and then visually presented with quasi-randomly distributed distractor symbols and one Arabic target number (in Go trials only). Participants pressed a central button whenever they detected the target number and elsewise refrained from responding. Responses were not more efficient when small numbers were presented to the left and large numbers to the right. However, results indicated that large numbers were associated with upper space more strongly than small numbers. This suggests that in two-dimensional space when no response dimension is given, numbers are conceptually associated with vertical, but not horizontal space. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 538 KW - spatial-numerical associations KW - SNARC KW - vertical space KW - horizontal space KW - Go/No-go task Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-424960 SN - 1866-8364 IS - 538 ER - TY - GEN A1 - Lonnemann, Jan A1 - Li, Su A1 - Zhao, Pei A1 - Linkersdörfer, Janosch A1 - Lindberg, Sven A1 - Hasselhorn, Marcus T1 - Differences in Counting Skills Between Chinese and German Children Are Accompanied by Differences in Processing of Approximate Numerical Magnitude Information T2 - Postprints der Universität Potsdam Humanwissenschaftliche Reihe N2 - Human beings are supposed to possess an approximate number system (ANS) dedicated to extracting and representing approximate numerical magnitude information as well as an object tracking system (OTS) for the rapid and accurate enumeration of small sets. It is assumed that the OTS and the ANS independently contribute to the acquisition of more elaborate numerical concepts. Chinese children have been shown to exhibit more elaborate numerical concepts than their non-Chinese peers, but it is still an open question whether similar cross-national differences exist with regard to the underlying systems, namely the ANS and the OTS. In the present study, we investigated this question by comparing Chinese and German preschool children with regard to their performance in a non-symbolic numerical magnitude comparison task (assessing the ANS) and in an enumeration task (assessing the OTS). In addition, we compared children’s counting skills. To ensure that possible between-group differences could not be explained by differences in more general performance factors, we also assessed children’s reasoning ability and processing speed. Chinese children showed a better counting performance and a more accurate performance in the non-symbolic numerical magnitude comparison task. These differences in performance could not be ascribed to differences in reasoning abilities and processing speed. In contrast, Chinese and German children did not differ significantly in the enumeration of small sets. The superior counting performance of Chinese children was thus found to be reflected in the ANS but not in the OTS. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 546 KW - approximate number system KW - subitizing KW - counting KW - cross-national comparison KW - preschool Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-427425 SN - 1866-8364 IS - 546 ER - TY - GEN A1 - Lonnemann, Jan A1 - Hasselhorn, Marcus T1 - Frühe mathematische Bildung BT - Aktuelle Forschungstrends und Perspektiven T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - Im vorliegenden Beitrag werden aktuelle Forschungstrends im Bereich der frühen mathematischen Bildung im Kontext jüngst formulierter Zieldimensionen für die frühe mathematische Bildung (siehe Benz et al., 2017) dargestellt. Es wird auf spielbasierte Fördermaßnahmen, Kompetenzen im Bereich „Raum und Form“, den Einfluss sprachlicher Parameter auf die Entwicklung mathematischer Kompetenzen sowie auf mathematikbezogene Kompetenzen frühpädagogischer Fachkräfte eingegangen. Darüber hinaus werden die Ergebnisse einer aktuellen Feldstudie zur Förderung früher mathematischer Kompetenzen (siehe Dillon, Kannan, Dean, Spelke & Duflo, 2017) vorgestellt. Abschließend wird die Entwicklung und Implementierung anschlussfähiger Bildungskonzepte als eine der zentralen Herausforderungen zukünftiger Forschungs- und Bildungsbemühungen diskutiert N2 - Current research trends in the field of early mathematical education are presented in the context of recently formulated target dimensions of early mathematical education (see Benz et al., 2017). Game-based approaches, competencies in the field of “space and form”, the influence of language skills on the development of mathematical competencies, as well as mathematics-related competencies of early childhood educators are discussed. In addition, the results of a recent field study on a preschool intervention intended to enhance children's early mathematical skills (see Dillon, Kannan, Dean, Spelke, & Duflo, 2017) are presented. Finally, we discuss the development and implementation of aligned educational concepts as one of the central challenges of future research and educational activities. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 636 KW - frühe mathematische Bildung KW - Zieldimensionen KW - Gelingensbedingungen KW - Anschlussfähigkeit Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-441484 SN - 1866-8364 IS - 636 SP - 129 EP - 134 ER - TY - GEN A1 - Lindner, Nadja A1 - Moeller, Korbinian A1 - Hildebrandt, Frauke A1 - Hasselhorn, Marcus A1 - Lonnemann, Jan T1 - Children's use of egocentric reference frames in spatial language is related to their numerical magnitude understanding T2 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe N2 - Numerical magnitude information is assumed to be spatially represented in the form of a mental number line defined with respect to a body-centred, egocentric frame of reference. In this context, spatial language skills such as mastery of verbal descriptions of spatial position (e.g., in front of, behind, to the right/left) have been proposed to be relevant for grasping spatial relations between numerical magnitudes on the mental number line. We examined 4- to 5-year-old’s spatial language skills in tasks that allow responses in egocentric and allocentric frames of reference, as well as their relative understanding of numerical magnitude (assessed by a number word comparison task). In addition, we evaluated influences of children’s absolute understanding of numerical magnitude assessed by their number word comprehension (montring different numbers using their fingers) and of their knowledge on numerical sequences (determining predecessors and successors as well as identifying missing dice patterns of a series). Results indicated that when considering responses that corresponded to the egocentric perspective, children’s spatial language was associated significantly with their relative numerical magnitude understanding, even after controlling for covariates, such as children’s SES, mental rotation skills, and also absolute magnitude understanding or knowledge on numerical sequences. This suggests that the use of egocentric reference frames in spatial language may facilitate spatial representation of numbers along a mental number line and thus seem important for preschoolers’ relative understanding of numerical magnitude. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 815 KW - spatial language KW - frames of reference KW - numerical development KW - mental number line KW - preschool children Y1 - 2023 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-581270 SN - 1866-8364 IS - 815 ER - TY - GEN A1 - Lindner, Nadja A1 - Moeller, Korbinian A1 - Dresen, Verena A1 - Pixner, Silvia A1 - Lonnemann, Jan T1 - Children's spatial language skills predict their verbal number skills BT - A longitudinal study N2 - The process of number symbolization is assumed to be critically influenced by the acquisition of so-called verbal number skills (e.g., verbally reciting the number chain and naming Arabic numerals). For the acquisition of these verbal number skills, verbal and visuospatial skills are discussed as contributing factors. In this context, children’s verbal number skills have been found to be associated with their concurrent spatial language skills such as mastery of verbal descriptions of spatial position (e.g., in front of, behind). In a longitudinal study with three measurement times (T1, T2, T3) at an interval of about 6 months, we evaluated the predictive role of preschool children’s (mean age at T1: 3 years and 10 months) spatial language skills for the acquisition of verbal number skills. Children’s spatial language skills at T2 significantly predicted their verbal number skills at T3, when controlling for influences of important covariates such as vocabulary knowledge. In addition, further analyses replicated previous results indicating that children’s spatial language skills at T2 were associated with their verbal number skills at T2. Exploratory analyses further revealed that children’s verbal number skills at T1 predict their spatial language at T2. Results suggests that better spatial language skills at the age of 4 years facilitate the future acquisition of verbal number skills. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 827 Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-587298 SN - 1866-8364 IS - 827 ER -