I would argue very strongly that what you have shown there is a demonstration - in fact it's not even really a demonstration because 2.83^2 is 8.0089 which is more than 8. If you wish to 'prove' Pythagoras' Theorem, you need to use an algebraic or geometric method that doesn't use specific numerical values, in order to leave not a shadow of doubt that this will always work.

There are a variety of excellent geometrical proofs which are straightforward and will leave the student convinced beyond a shadow of a doubt, I have done these proofs with G8 students with no problems at all.

I have started to visit your applets now. Wherever is possible try to come up with deductive reasoning, just giving a simple verification is under utilization of GeoGebra :( carry on!

Excellent demonstration Sanjay!

ReplyDeleteIsn't it AC = 2?

ReplyDeleteNice demonstration, but can I think we should just call it a demonstration, rather than proof. What do you think Sanjay? :-)

ReplyDeleteYou are correct Guillermo , we can say the demonstration , how to prove Pythagoras Theorem.

ReplyDeleteI would argue very strongly that what you have shown there is a demonstration - in fact it's not even really a demonstration because 2.83^2 is 8.0089 which is more than 8. If you wish to 'prove' Pythagoras' Theorem, you need to use an algebraic or geometric method that doesn't use specific numerical values, in order to leave not a shadow of doubt that this will always work.

ReplyDeleteThere are a variety of excellent geometrical proofs which are straightforward and will leave the student convinced beyond a shadow of a doubt, I have done these proofs with G8 students with no problems at all.

Sanjay, David's comment above is correct. Sir, your demo is no proof. Please let me know if I am missing something. Thanks.

ReplyDeleteThank you all for comments. Removed word "Proof". Its a good learning.

ReplyDeleteI have started to visit your applets now. Wherever is possible try to come up with deductive reasoning, just giving a simple verification is under utilization of GeoGebra :( carry on!

ReplyDelete