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Autor/inSiegler, Robert S.
TitelMagnitude Knowledge: The Common Core of Numerical Development
Quelle(2016), (70 Seiten)Infoseite zur Zeitschrift
PDF als Volltext (1); PDF als Volltext kostenfreie Datei (2) Verfügbarkeit 
ZusatzinformationWeitere Informationen
Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
DOI10.1111/desc.12395
SchlagwörterNumbers; Theories; Individual Development; Symbols (Mathematics); Accuracy; Knowledge Level; Correlation; Arithmetic; Mathematics Achievement; Cognitive Processes; Association (Psychology); Logical Thinking; Intervention; Developmental Stages; Cognitive Development
AbstractThe integrated theory of numerical development posits that a central theme of numerical development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented. The process includes four overlapping trends: 1) representing increasingly precisely the magnitudes of non-symbolic numbers, 2) connecting small symbolic numbers to their non-symbolic referents, 3) extending understanding from smaller to larger whole numbers, and 4) accurately representing the magnitudes of rational numbers. The present review identifies substantial commonalities, as well as differences, in these four aspects of numerical development. With both whole and rational numbers, numerical magnitude knowledge is concurrently correlated with, longitudinally predictive of, and causally related to multiple aspects of mathematical understanding, including arithmetic and overall math achievement. Moreover, interventions focused on increasing numerical magnitude knowledge often generalize to other aspects of mathematics. The cognitive processes of association and analogy seem to play especially large roles in this development. Thus, acquisition of numerical magnitude knowledge can be seen as the common core of numerical development. [This paper was published in "Developmental Science" v19 n3 p341-361 May 2016 (EJ1097190).] (As Provided).
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2022/4/11
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