Unlocking the Structure of Positive

Autor/inn/en	Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P.
Titel	Unlocking the Structure of Positive
Quelle	In: Mathematics Teaching in the Middle School, 22 (2016) 2, S.84-91 (8 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Mathematical Logic; Mathematics Instruction; Instructional Materials; Numbers; Arithmetic; Problem Solving; Middle School Students; Comparative Analysis; Subtraction; Mathematics Teachers + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Mathematics lessons; Mathematikunterricht; Lehrmaterial; Lehrmittel; Unterrichtsmedien; Zahlenraum; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Problemlösen; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; Subtraktion; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende
Abstract	Recognizing and using mathematical structure are key components of mathematical reasoning. The authors believe that one productive way to support students' use of structure is by identifying opportunities to address structure in the context of what teachers are already doing, rather than developing additional tasks or new curriculum materials. The authors have found that the topic of reasoning about number systems in general, and integers in particular, provides rich opportunities for students to look for and make use of structure. When students extend their understanding of numbers to new domains (e.g., from whole numbers to integers), they have opportunities to identify and use underlying structures and generalizations of arithmetic by deciding how operations should function (or reflecting on how operations do function) and which properties remain true within expanded number systems. This broad view of structure within the context of integer arithmetic is the focus in this article. The authors present reasoning about integers, which provides students with rich opportunities to look for and make use of structure. (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