Children's Profiles of Addition and Subtraction Understanding

Autor/in	Canobi, Katherine H.
Titel	Children's Profiles of Addition and Subtraction Understanding
Quelle	In: Journal of Experimental Child Psychology, 92 (2005) 3, S.220-246 (27 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0022-0965
DOI	10.1016/j.jecp.2005.06.001
Schlagwörter	Elementary School Students; Cognitive Development; Arithmetic; Individual Differences; Mathematical Concepts; Problem Solving; Elementary School Mathematics; Profiles; Subtraction + Suchen Sie Ihr Suchwort? Kognitive Entwicklung; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Individueller Unterschied; Problemlösen; Elementare Mathematik; Schulmathematik; Charakterisierung; Profilanalyse; Subtraktion
Abstract	The current research explored children's ability to recognize and explain different concepts both with and without reference to physical objects so as to provide insight into the development of children's addition and subtraction understanding. In Study 1, 72 7- to 9-year-olds judged and explained a puppet's activities involving three conceptual relations: (a) a+b=c, b+a=c; (b) a-b=c, a-c=b; and (c) a+b=c, c-b=a. In Study 2, the self-reports and problem-solving accuracy of 60 5- to 7-year-olds were recorded for three-term inverse problems (i.e., a+b-b=?), pairs of complementary addition and subtraction problems (i.e., a+b=c, c-b=?), and unrelated addition and subtraction problems (e.g., 3-2). Both studies highlighted individual differences in the concepts that children understand and the role of concrete referents in their understanding. These differences were related to using efficient procedures to solve unrelated addition and subtraction problems in Study 2. The results suggest that a key advance in children's conceptual understanding is incorporating subtractive relations into their mental representations of how parts are added to form a whole. (Author).
Anmerkungen	Elsevier Customer Service Department, 6277 Sea Harbor Drive, Orlando, FL 32887-4800. Tel: 877-839-7126 (Toll Free); Fax: 407-363-1354; e-mail: usjcs@elsevier.com.
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10