Students' Coordination of Geometric Reasoning and Measuring Strategies on a Fixed Perimeter Task: Developing Mathematical Understanding of Linear Measurement

Autor/inn/en	Barrett, Jeffrey E.; Clements, Douglas H.; Klanderman, David; Pennisi, Sarah-Jean; Polaki, Mokaeane V.
Titel	Students' Coordination of Geometric Reasoning and Measuring Strategies on a Fixed Perimeter Task: Developing Mathematical Understanding of Linear Measurement
Quelle	In: Journal for Research in Mathematics Education, 37 (2006) 3, S.187-221 (35 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0021-8251
Schlagwörter	Elementary School Students; Secondary School Students; Measurement Techniques; Mathematical Logic; Comprehension; Identification; Geometric Concepts; Mathematics Instruction; Geometry; Logical Thinking; Observation; Age Differences; New York + Suchen Sie Ihr Suchwort? Sekundarschüler; Messtechnik; Mathematical logics; Mathematische Logik; Verstehen; Verständnis; Identifikation; Identifizierung; Elementare Geometrie; Mathematics lessons; Mathematikunterricht; Geometrie; Beobachtung; Age; Difference; Age difference; Altersunterschied
Abstract	This article examines students' development of levels of understanding for measurement by describing the coordination of geometric reasoning with measurement and numerical strategies. In analyzing the reasoning and argumentation of 38 Grade 2 through Grade 10 students on linear measure tasks, we found support for the application and elaboration of our previously established categorization of children's length measurement levels: (1) guessing of length values by naive visual observation, (2) making inconsistent, uncoordinated reference to markers as units, and (3) using consistent and coordinated identification of units. We elaborated two of these categories. Observations supported sublevel distinctions between inconsistent identification (2a) and consistent yet only partially coordinated identification of units (2b). Evidence also supported a distinction between static (3a) and dynamic (3b) ways of coordinating length; we distinguish "integrated abstraction" (3b) from "nonintegrated abstraction" (3a) by examining whether students coordinate number and space schemes across multiple cases, or merely associate cases without coordinating schemes. (Contains 4 footnotes, 2 tables and 9 figures.) (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10