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ERIC Number: EJ1164642
Record Type: Journal
Publication Date: 2018
Pages: 16
Abstractor: As Provided
ISSN: ISSN-0020-739X
Guided Discovery of the Nine-Point Circle Theorem and Its Proof
Buchbinder, Orly
International Journal of Mathematical Education in Science and Technology, v49 n1 p138-153 2018
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.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A