Calling a Taxi(cab): Transforming Ideas of Congruence

Autor/inn/en	Prasad, Priya V.; Boyce, Steven
Titel	Calling a Taxi(cab): Transforming Ideas of Congruence
Quelle	In: PRIMUS, 32 (2022) 4, S.562-578 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Prasad, Priya V.) ORCID (Boyce, Steven)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2021.1871989
Schlagwörter	College Mathematics; Geometry; Geometric Concepts; Preservice Teachers; Mathematics Teachers; Mathematics Instruction + Suchen Sie Ihr Suchwort? Geometrie; Elementare Geometrie; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Mathematics lessons; Mathematikunterricht
Abstract	Exploring non-Euclidean geometries is a common way for College Geometry instructors to highlight subtleties in Euclidean geometry. The concept of congruence, going undefined or informally defined in multiple axiomatic systems, is particularly susceptible to conflation with the idea of "same measure." Taxicab geometry provides a context in which congruence (defined as a relationship between figures that can be isometrically mapped to each other) and measure can be disambiguated by investigating the effects of transformations in both Euclidean and Taxicab geometry. This paper describes episodes from our classrooms in which students grappled with their understandings of congruence in Euclidean geometry while completing tasks involving Taxicab geometry. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01