A New World of Mathematics Thinking

Autor/in	Schwartz, James E.
Titel	A New World of Mathematics Thinking
Quelle	In: Teaching Children Mathematics, 17 (2010) 3, S.164-169 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1073-5836
Schlagwörter	Mathematics Curriculum; Mathematical Concepts; Mathematics Instruction; Mathematical Logic; Elementary School Mathematics; Pedagogical Content Knowledge; Knowledge Level; Mathematics Teachers + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Mathematical logics; Mathematische Logik; Elementare Mathematik; Schulmathematik; Pädagogische Kompetenz; Wissensbasis; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende
Abstract	The "flat" world described by Friedman (2006) is one of global supply chains and economic networks, outsourcing, international personal entrepreneurial opportunities, and nearly unlimited, universal information availability. American children will inherit a world in which their competition and opportunities are international. In light of these realities, American teachers must think differently about how they prepare children to participate as productive citizens in that flat world. To prepare elementary school students for the flat world, today's teachers have different needs, particularly with regard to the scope of the mathematics that they must embrace. The U.S. Department of Education recommends that teachers "know in detail the mathematical content they are responsible for teaching and its connection to other important mathematics, both prior to and beyond the level they are assigned to teach" (National Mathematics Advisory Panel 2008, p. 37). Bringing teachers to a deeper level of understanding of important mathematical concepts should be the educators' goal. By focusing on a small number of generalizable "high concepts," educators can enable teachers to deepen their own and then their students' understanding of mathematics. Five powerful ideas permeate grades K-12 mathematics curriculum and act as a superstructure to connect various math topics and concepts: (1) Composition; (2) Decomposition; (3) Relationships; (4) Representation; and (5) Context. This article discusses only composition and decomposition--two ideas which have particularly great potential to transform mathematics teaching. (Contains 6 figures.) (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10