An illustration of the explanatory and discovery functions of proof
Pythagoras
| Field | Value | |
| Title | An illustration of the explanatory and discovery functions of proof | |
| Creator | de Villiers, Michael | |
| Description | This article provides an illustration of the explanatory and discovery functions of proof with an original geometric conjecture made by a Grade 11 student. After logically explaining (proving) the result geometrically and algebraically, the result is generalised to other polygons by further reflection on the proof(s). Different proofs are given, each giving different insights that lead to further generalisations. The underlying heuristic reasoning is carefully described in order to provide an exemplar for designing learning trajectories to engage students with these functions of proof. | |
| Publisher | AOSIS Publishing | |
| Date | 2012-11-30 | |
| Identifier | 10.4102/pythagoras.v33i3.193 | |
| Source | Pythagoras; Vol 33, No 3 (2012); 8 pages 2223-7895 1012-2346 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://pythagoras.org.za/index.php/pythagoras/article/view/193/228
https://pythagoras.org.za/index.php/pythagoras/article/view/193/229
https://pythagoras.org.za/index.php/pythagoras/article/view/193/252
https://pythagoras.org.za/index.php/pythagoras/article/view/193/227
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