Measurement and Decomposition: Making Sense of the Area of a Circle [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (41st, St. Louis, MO, Nov 14-17, 2019).

Autor/inn/en	Cox, Dana C.; Lo, Jane-Jane
Titel	Measurement and Decomposition: Making Sense of the Area of a Circle [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (41st, St. Louis, MO, Nov 14-17, 2019).
Quelle	(2019), (9 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Mathematics Instruction; Geometry; Preservice Teacher Education; Elementary School Teachers; Geometric Concepts; Concept Formation; Teaching Methods; Preservice Teachers; Spatial Ability; Knowledge Base for Teaching; Mathematical Logic + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Geometrie; Lehramtsstudiengang; Lehrerausbildung; Elementary school; Teacher; Teachers; Grundschule; Volksschule; Lehrer; Lehrerin; Lehrende; Elementare Geometrie; Concept learning; Begriffsbildung; Teaching method; Lehrmethode; Unterrichtsmethode; Räumliches Vorstellungsvermögen; Teaching theory; Theory of teaching; Unterrichtstheorie; Mathematical logics; Mathematische Logik
Abstract	As a component of a course on geometry for preservice elementary teachers (PSTs), we derive area formulas for a variety of polygons including triangles, quadrilaterals, and both regular and irregular shapes whose areas can be measured empirically using decomposition. Decomposing a circle to justify why its area can be measured using the standard formula is more challenging as it requires both empirical and deductive reasoning involving limits. In spite of the challenge, we expected decomposition strategies to transcend work with polygons and support PSTs when thinking about the area of circles. Results show that few PSTs utilized decomposition and instead focused on finding meaning in the symbolism of the formula. Concept images related to area will be discussed. [For the complete proceedings, see ED606556.] (As Provided).
Anmerkungen	North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01