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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.
7
votes
Demystifying complex numbers
Another classic I haven't seen mentioned yet is the proof of the Machin formula
$$
\frac{\pi}{4} = 4\arctan \frac{1}{5}-\arctan \frac{1}{239}.
$$
I honestly don't know a proof of this that avoids comp …
12
votes
Demystifying complex numbers
This is a specific example where complex numbers aid a task in elementary real analysis; I haven't thought about the extent to which it generalizes.
In my first year, I was given the task of formally …
14
votes
Accepted
Why does inconstructibility of $\sqrt[3]{2}$ imply impossibility of cube doubling?
Disclaimer: The following perhaps isn't an answer to your question as stated, so my apologies if this answer is useless to you. However, you're asking for how to treat this problem "honestly", and I t …