Evidence for Use of Mathematical Inversion by Three-Year-Old Children

Autor/inn/en	Sherman, Jody; Bisanz, Jeffrey
Titel	Evidence for Use of Mathematical Inversion by Three-Year-Old Children
Quelle	In: Journal of Cognition and Development, 8 (2007) 3, S.333-344 (12 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1524-8372
Schlagwörter	Subtraction; Preschool Children; Mathematics Skills; Computation; Arithmetic; Skill Development; Cognitive Ability; Measures (Individuals) + Suchen Sie Ihr Suchwort? Subtraktion; Pre-school age; Preschool age; Child; Children; Pre-school education; Preschool education; Vorschulalter; Kind; Kinder; Vorschulkind; Vorschulkinder; Vorschulerziehung; Vorschule; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Kompetenzentwicklung; Qualifikationsentwicklung; Denkfähigkeit; Messdaten
Abstract	The principle of inversion--that a + b - b must equal a--requires a sensitivity to the relation between addition and subtraction that is critical for understanding arithmetic. Use of inversion, albeit inconsistent, has been observed in school-age children, but when use of a computational shortcut based on inversion emerges and how awareness of the inversion principle relates to other mathematical or numerical skills remain unclear. Two possibilities were explored in 3-year-olds by adapting a method used previously with older children involving the addition and subtraction of blocks differing in length. These children were significantly more accurate on inversion than standard problems, this difference was observed even in children who did not count well, and performance did not differ between formats that afforded qualitative or quantitative solutions. Thus, 3-year-olds appear to develop an early sensitivity to quantitative inversion. (Contains 2 figures and 1 table.) (As Provided).
Anmerkungen	Psychology Press. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10