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#mtbos

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cognitively accessible math

#mtbos hechingerreport.org/one-state- another article -- not Jill Barshay and more anecdotal but worth the read. Gosh, when state Dept of Ed folks mandated "all the eighth graders need to take algebra" it didn't work so well, especially where they don't have certified math teachers. Erm, the district where they did algebra in eighth grade but had the option to back up and do it again the next year ... they did better (and I bet had better teachers).
Their "calculus completion" went up a tiny bit. (Yes, the article has links to the whole "why are they so obsessed with calculus; hardly anybody needs it for real life" debate too).
And oh? The anecdote at the beginning w/ the 8th graders just not tuning in or getting it? When he slowed down the next day, it went bbetter.
No patterns here, right? But no, Bill and Melinda Gates think we all need to be ACCELERATED. The ones lefton the shoulder? SHHHHH.....

The Hechinger Report · One state tried algebra for all eighth graders. It hasn’t gone wellBy Steven Yoder
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Colin the Mathmo

I've been thinking about this for ages, but never had the time to craft the words around it.

People keep saying that "Maths should be fun" ... and I push back with "It should be engaging ... 'fun' is a different thing.

So @rakhichawla has posted pretty much exactly this, but better than I ever could.

I'm copying it here with permission.

Please read this, then as it says at the end ... let's have a deeper conversation about this ...

1/n

(PS: I'd love this to get boosted to get outside my bubble ... you're all amazing, but there will be other opinions, and other thoughts that could be helpful or valuable)

Hashtags: #MathEd #MathsEd #MathEdChat #MathsEdChat #MathChat #MathsChat #MTBoS #TMWYK

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Colin the Mathmo

Some time ago ... (A month!) ... there was a thread on Twitter that I think should be shared here. I've been trying to extract and post it semi-automatically, but Twitter just makes it damn near impossible.

So I'm copying it "by hand"

Here's a chart of the full conversation:

solipsys.co.uk/Chartter/185675

Here's the head of the conversation:

x.com/TweetingCynical/status/1


#MTBoS #TMWYK
#MathChat #MathsChat
#MathEd #MathEdChat
#MathsEd #MathsEdChat

I will occasionally update the chart of *this* conversation, and it will be here:

solipsys.co.uk/Chartodon/Teach

Here is the content ...

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theHigherGeometer

There are two irrational numbers \(x\) and \(y\) such that \(x^y\) is rational.

Proof:

broke:
Either \(\sqrt{2}^\sqrt{2}\) is rational, or if not, then \((\sqrt{2}^\sqrt{2})^\sqrt{2} =2\) is rational, but we don't know which case holds, hence one of \(x=y=\sqrt{2}\) or \(x=\sqrt{2}^\sqrt{2}\) and \(y=\sqrt{2}\) gives what we want.

woke:
By the really hard Gelfond–Schneider theorem we know \(x=\sqrt{2}^\sqrt{2}\) is irrational, and \(y=\sqrt{2}\) is irrational by an elementary proof, and \(x^y=2\), so these are the numbers we want.

bespoke:
By elementary proofs we know that both \(x=\sqrt{2}\) and \(y=\log_23\) are irrational, and \(x^{2y}=3\).

#mtbos
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