@misc{LonnemannLiZhaoetal.2018, author = {Lonnemann, Jan and Li, Su and Zhao, Pei and Linkersd{\"o}rfer, Janosch and Lindberg, Sven and Hasselhorn, Marcus}, title = {Differences in Counting Skills Between Chinese and German Children Are Accompanied by Differences in Processing of Approximate Numerical Magnitude Information}, series = {Postprints der Universit{\"a}t Potsdam Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam Humanwissenschaftliche Reihe}, number = {546}, issn = {1866-8364}, doi = {10.25932/publishup-42742}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-427425}, pages = {8}, year = {2018}, abstract = {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.}, language = {en} } @misc{LonnemannHasselhorn2018, author = {Lonnemann, Jan and Hasselhorn, Marcus}, title = {Fr{\"u}he mathematische Bildung}, series = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, number = {636}, issn = {1866-8364}, doi = {10.25932/publishup-44148}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-441484}, pages = {129 -- 134}, year = {2018}, abstract = {Im vorliegenden Beitrag werden aktuelle Forschungstrends im Bereich der fr{\"u}hen mathematischen Bildung im Kontext j{\"u}ngst formulierter Zieldimensionen f{\"u}r die fr{\"u}he mathematische Bildung (siehe Benz et al., 2017) dargestellt. Es wird auf spielbasierte F{\"o}rdermaßnahmen, Kompetenzen im Bereich „Raum und Form", den Einfluss sprachlicher Parameter auf die Entwicklung mathematischer Kompetenzen sowie auf mathematikbezogene Kompetenzen fr{\"u}hp{\"a}dagogischer Fachkr{\"a}fte eingegangen. Dar{\"u}ber hinaus werden die Ergebnisse einer aktuellen Feldstudie zur F{\"o}rderung fr{\"u}her mathematischer Kompetenzen (siehe Dillon, Kannan, Dean, Spelke \& Duflo, 2017) vorgestellt. Abschließend wird die Entwicklung und Implementierung anschlussf{\"a}higer Bildungskonzepte als eine der zentralen Herausforderungen zuk{\"u}nftiger Forschungs- und Bildungsbem{\"u}hungen diskutiert}, language = {de} } @misc{LindnerMoellerHildebrandtetal.2022, author = {Lindner, Nadja and Moeller, Korbinian and Hildebrandt, Frauke and Hasselhorn, Marcus and Lonnemann, Jan}, title = {Children's use of egocentric reference frames in spatial language is related to their numerical magnitude understanding}, series = {Zweitver{\"o}ffentlichungen der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, journal = {Zweitver{\"o}ffentlichungen der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, number = {815}, issn = {1866-8364}, doi = {10.25932/publishup-58127}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-581270}, pages = {13}, year = {2022}, abstract = {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.}, language = {en} }