Cultivating Algebraic Representations

Autor/inn/en	van den Kieboom, Leigh A.; Magiera, Marta T.
Titel	Cultivating Algebraic Representations
Quelle	In: Mathematics Teaching in the Middle School, 17 (2012) 6, S.352-357 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Mathematics Curriculum; Middle School Teachers; Mathematics Instruction; Secondary School Mathematics; Thinking Skills; Teaching Methods; Problem Solving; Data Analysis; Mathematical Concepts; Learner Engagement; Professional Development + Suchen Sie Ihr Suchwort? Middle school; Middle schools; Teacher; Teachers; Mittelschule; Mittelstufenschule; Lehrer; Lehrerin; Lehrende; Mathematics lessons; Mathematikunterricht; Denkfähigkeit; Teaching method; Lehrmethode; Unterrichtsmethode; Problemlösen; Auswertung
Abstract	Reasoning and sense making are at the heart of mathematics teaching and learning throughout the K-12 mathematics curriculum. Focusing on these skills gives students the opportunity to analyze, interpret, and critically think about the mathematics they learn. The terms "reasoning" and "sense making" are frequently used to describe the wide range of mathematical processes that relate to one's ability to think about and use mathematics meaningfully. Mathematical reasoning frequently denotes one's ability to draw conclusions on the basis of assumptions and definitions. Mathematical sense making refers to one's ability to critically analyze concepts, situations, and contexts and draw connections among them to other knowledge. How can teachers help their students develop the reasoning and sense-making skills necessary to see mathematics as a sense-making discipline? One opportunity comes from actively engaging students in problem solving, encouraging them to listen and question one another (including the teacher), and justify their mathematical work. This article explores a professional development program in which middle school teachers solve problems, assign the same problems in their own classrooms, and analyze their students' thinking. (Contains 4 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