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awarded  Caucus
2017
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19
awarded  Nice Answer
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10
awarded  Good Question
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awarded  Notable Question
Apr
9
comment How to respond to “solve this equation” in a basic algebra class
@MatthewLeingang Hi Matthew! No, both of those are acceptable as ways to describe a set around here. But, illogically, $\{x\mid x+1=2\}$ would not be, even though it's the same thing. The issue I have is with anyone who objects to plain old "$x=1$".
Apr
9
awarded  Yearling
Apr
9
comment How to respond to “solve this equation” in a basic algebra class
To everyone with comments, thank you. For the record, my colleagues are good people even if I think that on this issue many of them are misguided. I think that there is a history in my department of using a particular textbook that stresses this distinction, and that over the past several decades, it has crept into the culture here to the point where it is codified in course descriptions. But I will continue my efforts to change minds, and some of your arguments will help with that.
Apr
9
comment How to respond to “solve this equation” in a basic algebra class
@PeterTaylor They'd prefer to say "the solutions are $1$ and $2$."
Apr
9
comment How to respond to “solve this equation” in a basic algebra class
@JoeTaxpayer Sure, none taken. I had very similar thoughts before I posted this. We are a community college. Roughly 2/3 of math course offerings are high school algebra and even more basic math for adults. The other 1/3 is pretty standard college-level math at the freshman and sophomore level.
Apr
8
comment How to respond to “solve this equation” in a basic algebra class
@JoeTaxpayer I don't think this place existed when I first posted at math.se. Or I didn't know about mathed.se. Then, two days ago, someone suggested the sample of people reading math.se posts would be a biased sample. So I put the question here. Maybe I could have asked a moderator to move the question, but I'm not sure how that works or if it would address the critique of a biased sample.
Apr
8
awarded  Popular Question
Apr
8
awarded  Nice Question
Apr
7
asked How to respond to “solve this equation” in a basic algebra class
2015
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awarded  Nice Question
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awarded  Yearling
Mar
26
comment How to convince students of the integral identity $\int_0^af(x)dx=\int_0^af(a-x)dx$?
@Thinkeye You can leave out the name, but I'd never leave out the idea that an integral is a sum of rectangle bases ($dx$) with rectangle heights ($f(x)$). And here, nothing changes with the bases, and the only "change" with the heights is reordering.
Mar
26
answered How to convince students of the integral identity $\int_0^af(x)dx=\int_0^af(a-x)dx$?
Jan
24
awarded  Commentator
Jan
19
comment Factoring quadratics where the coefficient on the $x^2$ term does not equal 1
@RoryDaulton You say "some of them usually take longer to do than factoring", but each of these is a method of factoring. It sounds like maybe you have a method in mind that is not on this list that you are comparing to?
Jan
19
revised Factoring quadratics where the coefficient on the $x^2$ term does not equal 1
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