Guided Discovery of the Nine-Point Circle Theorem and Its Proof

Autor/in	Buchbinder, Orly
Titel	Guided Discovery of the Nine-Point Circle Theorem and Its Proof
Quelle	In: International Journal of Mathematical Education in Science and Technology, 49 (2018) 1, S.138-153 (16 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2017.1363422
Schlagwörter	Mathematical Logic; Validity; Geometry; Geometric Concepts; Mathematics Activities; Problem Solving; Mathematics Instruction; College Students; Teaching Methods; College Mathematics + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Gültigkeit; Geometrie; Elementare Geometrie; Problemlösen; Mathematics lessons; Mathematikunterricht; Collegestudent; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through investigation in a dynamic geometry environment, and consequently prove it using a method of guided discovery. The paper concludes with a variety of suggestions for the ways in which the whole set of activities can be implemented in geometry classrooms. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01