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Calculus they won't teach you [video]

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Re: Calculus they won't teach you [video]

#121

Earlier quoted context omitted.

"Number sentence" does not appear in the common core standards. https://www.nctm.org/uploadedFiles/Standards_and_Positions/C...

The standard matters not at all. What matters is what students and parents end up seeing.

The point is that if you have a problem with "number sentences," Common Core isn't to blame.

Re: Calculus they won't teach you [video]

#122
post #79

Earlier quoted context omitted.

To your second point, I would disagree that we learn maths that we may likely never directly use not because of historical fascination, but because progressively expanding student's mathematical knowledge serves the purpose of meta-learning, learning to learn. As to your question I've touched on a little for manipulation of some of the classic equations in ecology and population biology, growth curves, population gro…

> To your second point, I would disagree that we learn maths that we may likely never directly use not because of historical fascination That was not my point. No one learns math because of historical fascination. The point was simply the stories about the math are more interesting than the math itself, which isn't any stretch of the imagination.

That's comparing a tool to an insight though, like sure 'grammar' isn't as interesting as a poem. Math is interesting because despite being axiomatic there are all of these emergent things it can correctly predict about the world. To mix metaphors, there are very interesting stories that are at least in part in the grammar of math.

Re: Calculus they won't teach you [video]

#123

Earlier quoted context omitted.

The standard matters not at all. What matters is what students and parents end up seeing.

The point is that if you have a problem with "number sentences," Common Core isn't to blame.

If something isn't part of the formal Common Core standard, but is part of the "reference implementation," then practically speaking calling it part of Common Core is usefully descriptive.

We use this kind of synecdoche all the time when we do things like say Blub is a high performance programming language. If you want to be pedantic it's actually the Blub language, the Blub compiler, and the Blub runtime as a whole that determine whether or not Blub programs execute performantly. Sure it's useful to be aware of the distinction, but it's annoying and even disruptive to get caught up on it when everyone knows what is meant.

Re: Calculus they won't teach you [video]

#124
post #123

Earlier quoted context omitted.

The point is that if you have a problem with "number sentences," Common Core isn't to blame.

If something isn't part of the formal Common Core standard, but is part of the "reference implementation," then practically speaking calling it part of Common Core is usefully descriptive. We use this kind of synecdoche all the time when we do things like say Blub is a high performance programming language. If you want to be pedantic it's actually the Blub language, the Blub compiler, and the Blub runtime as a whole…

Number sentences existed prior to Common Core, so saying that number sentences is part of Common Core is not usefully descriptive and simply serves to confuse the issue.
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