Dividing Fractions and Problem Solving

Autor/inn/en	Cramer, Kathleen; Monson, Debra; Whitney, Stephanie; Leavitt, Seth; Wyberg, Terry
Titel	Dividing Fractions and Problem Solving
Quelle	In: Mathematics Teaching in the Middle School, 15 (2010) 6, S.338-346 (9 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Textbooks; Secondary School Mathematics; Arithmetic; Mathematics Instruction; Problem Solving; Middle School Students; Grade 6; Measurement Techniques; Reflective Teaching; Error Patterns + Suchen Sie Ihr Suchwort? Textbook; Text book; Schulbuch; Lehrbuch; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Mathematics lessons; Mathematikunterricht; Problemlösen; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; School year 06; 6. Schuljahr; Schuljahr 06; Messtechnik; Fehlertyp
Abstract	Fraction division is generally introduced in sixth or seventh grade with this rule: "Invert and multiply." The authors examined current commercial curricula and found that few textbooks use context as a way to build meaning for the division of fractions. When context is used, the connection between the invert-and-multiply rule and the context is superficial at best. Textbooks often use illustrations as a form of representation to build meaning. However, the transition from these pictures to the symbolic rule occurs quickly. In so doing, students may be getting an inadequate understanding of fraction division. This article describes how a class of sixth graders used concrete and pictorial models to build meaning for arithmetic operations with fractions. (Contains 9 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