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Results tagged with proofs
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user 14430
For questions about mathematical proofs in an educational context.
8
votes
2
answers
330
views
Seeking short algebraic proofs that an Algebra2 student can appreciate
What I want to avoid is primarily geometric proofs, like those you do in your first geometry course. … So the label "proofs without words" is somewhat disingenuous to my mind.) …
- 532
6
votes
2
answers
3k
views
Should proofs include a third “context” column?
But we do not provide a way, in geometry, of naming and organizing proofs usefully so that prior short proofs (technically lemmas) can be looked up and referred to easily. … , which makes the proofs into these long-winded, un-memorable and ultimately unwieldy things. …
- 532
1
vote
How to explain Monty Hall problem when they just don't get it
I usually explain this by simulating, and then defusing, the mis-understanding using a simple table. You can set up any of the three cases of the problem, as they are obviously all the same, I'll use …
- 532
-4
votes
2
answers
355
views
Missing Step in Most Proofs of the Irrationality of $\sqrt{2}$ [closed]
Numerous online resources parrot the usual proof by contradiction of the irrationality of $\sqrt{2}$. These all rely upon the assumption that the rational form (say, $a/b$) is in its simplest represen …
- 532