Curious what my mathematician & math educator friends think of the use of AND on this sign...
Wondering if dogs OR alcohol are allowed on the beach, just not at the same time?
🤪 🤷‍♀️

#iTeachMath #MathChat #MathsChat

Someone has pointed out, quite rightly, that I really should tag @standupmaths when I mention a video that he has made.

I'm not sure appearing in a video counts as a connection for an Erdős number, much as people might hope it might.

So ... the monostable (or self-righting) tetrahedron:

https://www.youtube.com/watch?v=b6S5gHjuN48

#Maths #Math #MathsChat #MathChat #MTBoS

Maths has finally discovered a self-righting tetrahedron!

YouTube
Episode 5 of #Un-NaturalNumbers the maths chat show just dropped. In what is arguably our largest number so far: 5. Join me, @hopeiona.bsky.social and Jocelyn to discuss our favourite facts about the number 5. #mathschat #mathsky #msthstalk youtu.be/i-oAWhc5SH0

Un-Natural Numbers: Episode 5 ...
Un-Natural Numbers: Episode 5 - Untouchables, Powers of 5 & Tessellation

YouTube
If I say: Any square (4*4 or 8*8) may be rotated by 90 degrees, if the pieces are fully enclosed in the square. Is it possible to sort all the greens to the left and reds to the right? #playmaths #mathschat #mathsky

I'm doing some of my "follow the instructions for a change" #Sashiko, and came upon a bit that I think means I can't do everything that's left without a lot of stopping and starting.

Then I realised I have an actual graph theorist in the house who might see something I'd missed.

So I checked with @ColinTheMathmo, and he did spot something I'd missed, but it confirmed the impossibility.

I'll have to fudge it...

#MathsChat #GraphTheory #HandEmbroidery

Every polynomial with real coefficients factors into linear and quadratic terms.

How much machinery is needed to show this?

If it crosses the X-axis then it has a linear term.

If it doesn't cross the X-axis then it is of even degree, and the roots come in complex conjugate pairs.

What the minimum needed to see this?

#maths #math
#algebra #ComplexNumbers
#MathsChat #MathChat

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

Fermat conjectured that for \(n\) a non-negative integer, all numbers of the form \(2^{2^n}+1\) are prime.

Was there ever a worse conjecture in maths than that?

#Maths #Math
#MathsEd #MathEd
#MathsChat #MathChat
#Fermat #Conjecture
#Primes #FermatPrimes

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:

https://www.solipsys.co.uk/Chartter/1856750472826085652.svg

Here's the head of the conversation:

https://x.com/TweetingCynical/status/1856750459110986045


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

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

https://www.solipsys.co.uk/Chartodon/TeachingTellingTheTime.svg

Here is the content ...

Some fun math "switcheroos":
A% of B = B% of A
log_b(a) = 1/log_a(b)
Sin(A) = Cos(B) in right triangle

Do you have any others in this style? Would love to add more to this list.
{Was awake in the night thinking about the middle one, based on Q posed in a FB group}

#MTBoS #iTeachMath #MathChat #MathsChat