Refining Concepts: Half Isn't Always Less

Autor/in	Carter, Cynthia J.
Titel	Refining Concepts: Half Isn't Always Less
Quelle	In: Mathematics Teaching in the Middle School, 22 (2017) 9, S.524-532 (9 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Middle School Students; Secondary School Mathematics; Multiplication; Fractions; Numbers; Algebra; Mathematical Logic; Teaching Methods; Mathematics Instruction; Mathematical Concepts; Grade 6; Models; Concept Formation; Massachusetts + Suchen Sie Ihr Suchwort? Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; Multiplikation; Bruchrechnung; Zahlenraum; Mathematical logics; Mathematische Logik; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; School year 06; 6. Schuljahr; Schuljahr 06; Analogiemodell; Concept learning; Begriffsbildung; Master-Studiengang
Abstract	The author wants her students to see any new mathematics--fractions, negative numbers, algebra--as logical extensions of what they already know. This article describes two students' efforts to make sense of their conflicting interpretations of 1/2 × -6, both of which were compelling and logical to them. It describes how discussion, constructing and critiquing viable arguments, supported by choosing and using an appropriate mathematical tool (CCSSI 2010) helped them refine their understanding. It also describes a mental image that can inspire or interfere with reasoning and is neither misconception nor lack of knowledge. [This article was written with Ellen Prince and Zachary Schwartz.] (As Provided).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/mathematics-teaching-in-the-middle-school/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01