Dilations and the Equation of a Line

Autor/in	Yopp, David A.
Titel	Dilations and the Equation of a Line
Quelle	In: Mathematics Teaching in the Middle School, 21 (2016) 7, S.406-414 (9 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Mathematics; Mathematics Instruction; Equations (Mathematics); Mathematical Concepts; Mathematics Achievement; Geometry; Geometric Concepts; Thinking Skills; Grade 8; Common Core State Standards; Middle School Students; Problem Solving + Suchen Sie Ihr Suchwort? Mathematik; Mathematics lessons; Mathematikunterricht; Equations; Mathematics; Gleichungslehre; Mathmatics sikills; Mathmatics achievement; Mathematical ability; Mathematische Kompetenz; Geometrie; Elementare Geometrie; Denkfähigkeit; School year 08; 8. Schuljahr; Schuljahr 08; Common core curriculum; Curriculum; Kerncurriculum; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; Problemlösen
Abstract	Students engage in proportional reasoning when they use covariance and multiple comparisons. Without rich connections to proportional reasoning, students may develop inadequate understandings of linear relationships and the equations that model them. Teachers can improve students' understanding of linear relationships by focusing on realistic situations and directing students' attention toward the dependency of x and y and the covariant relationship expressed in linear equations. In this article, the author presents how to track students' understanding of proportional reasoning by combining transformational geometry, similar-triangle reasoning, and linear relationships. (ERIC).
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