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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/

28 votes

Examples of common false beliefs in mathematics

As a teaching assistant in an elementary number theory course, I've seen the following quite often : If $a$ divides $bc$ and $a$ does not divide $b$, then $a$ divides $c$. That's of course true if $ …
9 votes

Examples of common false beliefs in mathematics

I have heard the following a few times : "If $f$ is holomorphic on a region $\Omega$ and not one-to-one, then $f'$ must vanish somewhere in $\Omega$." $f(z)=e^z$ of course is a counterexample.