Develop Reasoning through Pictorial Representations

Autor/inn/en	Ruchti, Wendy P.; Bennett, Cory A.
Titel	Develop Reasoning through Pictorial Representations
Quelle	In: Mathematics Teaching in the Middle School, 19 (2013) 1, S.30-36 (7 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Mathematics Instruction; Middle School Students; Secondary School Mathematics; Teaching Methods; Mathematics Skills; Freehand Drawing; Pictorial Stimuli; Mathematical Logic; Thinking Skills; Problem Solving + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; Teaching method; Lehrmethode; Unterrichtsmethode; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Drawing; Zeichnen; Fantasieanregung; Mathematical logics; Mathematische Logik; Denkfähigkeit; Problemlösen
Abstract	This article describes some of the benefits derived from encouraging math drawing in a class of seventh-and eighth-grade students in line with promoting mathematical proficiency. The authors report teaching pictorial representations as part of the solution process, where both students and teachers gained insight into various areas of understanding. Talking about these representations with peers helped strengthen students' reasoning and understanding. Providing problems that required students to use representations and discussion to develop reasoning skills helped students connect the logic of their thinking with mathematical concepts. In essence, pictorial representations helped students model, analyze, make sense of, and understand the underlying math within a problem. Specifically, using various types of models--area, length, and set--and discussing their usefulness in different contexts helped students develop deeper mathematical understandings. All of these habits of mind and skills take time and multiple experiences to properly learn and develop. The authors conclude that, while pictures may not be proofs, they can help adolescents create and communicate sound reasoning that can lead to proof. (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