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...

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}

It's Maths Week England !!!!

https://mathsweekengland.co.uk/

#MWE2024 #MWE24 #MathsToday #MathsChat #MathsEd

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Maths Week England is about to launch!

As the name suggests, Maths Week is a week-long FREE celebration of all things maths! Maths Week sets out to raise the profile of the subject whilst, at the same time, encouraging children to pursue maths by promoting a more positive and inclusive approach.

FREE resources will be available for children of all ages, including daily video puzzles, daily problem solving activities and so much more. Maths Week 2024 begins on the 11th of November, so there is still plenty of time to get prepared.
If you haven’t done so already sign up at www.mathsweekengland.co.uk

Have a look at the first intersection of y=cos(x) and y=tan(x).

Consider the tangents at the point of intersection:

What is the angle between them?

What are their gradients?

#MathsChat
#EduMaths
#MTBoS

Good question asked here:

https://mathstodon.xyz/@TeaKayB/112957536265268967

Can we start to build the community of #Maths #Teachers here?

#MathsChat
#EduMaths
#MTBoS

I'm not a teacher so I can' vote in this poll, but I hope people see it and respond.

https://mathstodon.xyz/deck/@karenshancock/111917845731283757