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[2020-02-12] Operations

Posted: Fri Mar 13, 2020 5:34 pm
by delta
http://smbc-comics.com/comic/operations

Main caption: Why do 98% of math teachers do this?

Attempted answer: Because addition and multiplication are commutative, solving for either missing operand in one of those operations is equivalent, and therefore they only have a single inverse each. But since exponentiation is not commutative, solving for either of the two operands is not equivalent, and so we have two separate "inverses": radicals and logarithms -- the former being left out of the cartoon, but likely the one seen and used first in most math curriculum, and so taking up students' "inverse" brain space.

Re: [2020-02-12] Operations

Posted: Fri Mar 13, 2020 9:09 pm
by NeatNit
Yeah. But I think the other point (or a rough approximation of a point) he's making is that we have ways to calculate subtraction and division (not to mention addition and multiplication), but we aren't being taught methods to calculate logarithms - other than memorizing some key ones (powers of two and three) and plugging the rest into a calculator.

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