Understanding and Using Principles of Arithmetic: Operations Involving Negative Numbers

Autor/inn/en	Prather, Richard W.; Alibali, Martha W.
Titel	Understanding and Using Principles of Arithmetic: Operations Involving Negative Numbers
Quelle	In: Cognitive Science, 32 (2008) 2, S.445-457 (13 Seiten) PDF als Volltext Verfügbarkeit
Zusatzinformation	Weitere Informationen
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0364-0213
Schlagwörter	Numbers; Problem Solving; Word Problems (Mathematics); Equations (Mathematics); Arithmetic; Mathematics Education; Undergraduate Students; Task Analysis; Mathematical Concepts + Suchen Sie Ihr Suchwort? Zahlenraum; Problemlösen; Textaufgabe; Equations; Mathematics; Gleichungslehre; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Mathematische Bildung; Aufgabenanalyse
Abstract	Previous work has investigated adults' knowledge of principles for arithmetic with positive numbers (Dixon, Deets, & Bangert, 2001). The current study extends this past work to address adults' knowledge of principles of arithmetic with a negative number, and also investigates links between knowledge of principles and problem representation. Participants (N = 44) completed two tasks. In the Evaluation task, participants rated how well sets of equations were solved. Some sets violated principles of arithmetic and others did not. Participants rated non-violation sets higher than violation sets for two different principles for subtraction with a negative number. In the Word Problem task, participants read word problems and set up equations that could be used to solve them. Participants who displayed greater knowledge of principles of arithmetic with a negative number were more likely to set up equations that involved negative numbers. Thus, participants' knowledge of arithmetic principles was related to their problem representations. (Contains 2 tables and 3 figures.) (Author).
Anmerkungen	Lawrence Erlbaum. 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/default.html
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10