(IR)Reversability in Mathematics [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (38th, Tucson, AZ, Nov 3-6, 2016).

Autor/in	Norton, Anderson
Titel	(IR)Reversability in Mathematics [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (38th, Tucson, AZ, Nov 3-6, 2016).
Quelle	(2016), (8 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Mathematical Applications; Mathematical Formulas; Mathematics Instruction; Multiplication; Arithmetic; Mental Computation; Cognitive Ability; Learning Theories; Mathematics Activities; Mathematics Skills + Suchen Sie Ihr Suchwort? Angewandte Mathematik; Innermathematische Anwendung; Mathematische Formel; Mathematics lessons; Mathematikunterricht; Multiplikation; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Kopfrechnen; Denkfähigkeit; Learning theory; Lerntheorie; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz
Abstract	In this theoretical paper, I consider reversibility as a defining characteristic of mathematics. Inverse pairs of formalized operations, such as multiplication and division, provide obvious examples of this reversibility. However, there are exceptions, such as multiplying by 0. If we are to follow Piaget's lead in defining mathematics as the science of reversible mental actions, such exceptions must be examined. We consider the case of multiplying by 0 by adopting Davydov's model of multiplication as a transformation of units and by investigating the underlying mental actions. Results of this investigation have implications for breaking down the barriers between various domains of mathematics. [For the complete proceedings, see ED583608.] (As Provided).
Anmerkungen	North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01