The following four topics can be approached in a number of interesting ways, including the use of dynamic geometry software (Geogebra, Geometers' Sketchpad, Cabri...)
Geogebra/ Geometers' Sketchpad circle geometry lesson 1: chords of a circle
Lesson 2: Angles in a circle
Lesson 3: Tangents
Lesson 4: Cyclic quadrilaterals
A link to Geogebra (a free shareware, open source dynamic geogebra app):
http://www.geogebra.org/cms/
The question: is a dynamic geometry experiment a proof? Is it convincing? valid? complete and watertight?
What would you say about a more traditional, deductive proof of the same theorems -- for example:
Proof of inscribed angle theorem
Proof that angles in the same segment of a circle are equal
Geogebra/ Geometers' Sketchpad circle geometry lesson 1: chords of a circle
Lesson 2: Angles in a circle
Lesson 3: Tangents
Lesson 4: Cyclic quadrilaterals
A link to Geogebra (a free shareware, open source dynamic geogebra app):
http://www.geogebra.org/cms/
The question: is a dynamic geometry experiment a proof? Is it convincing? valid? complete and watertight?
What would you say about a more traditional, deductive proof of the same theorems -- for example:
Proof of inscribed angle theorem
Proof that angles in the same segment of a circle are equal
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