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ERIC Number: EJ1254819
Record Type: Journal
Publication Date: 2020
Pages: 5
Abstractor: As Provided
ISSN: ISSN-0020-739X
Proof as a Means of Discovery
de Villiers, Michael
International Journal of Mathematical Education in Science and Technology, v51 n3 p451-455 2020
This short note presents and discusses an interesting area partition result related to a parallelogram. It is, then, shown how proving the result, and understanding why the result is true based on the principle of conservation of the area of triangles with the same base and between the same parallel lines, leads to further generalizations to pentagons, hexagons, etc. The activity could be used in classroom at high school level, or in mathematics teacher education, preferably with dynamic geometry to illustrate the discovery function of proof.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A