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?
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
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}
maths_week
@maths_week
• Just now It's Day 4 Maths Enthusiasts!
Dive into a world of fun with our daily video puzzle from Sophie Maclean: https://mathsweekengland.co.uk/?page_id=7470. And there is so much more at http://www.mathsweekengland.co.uk!
#MWE24 #ITeachMaths #MathsToday #MathsChat
It's Maths Week England !!!!
https://mathsweekengland.co.uk/
#MWE2024 #MWE24 #MathsToday #MathsChat #MathsEd
#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat
It's Day 3 of #MWE24
Challenge yourself with this great puzzle video from Ajay Bater. https://mathsweekengland.co.uk/?page_id=7470. Let's make this week a celebration of numbers!
Let’s do this!
#MWE24 #MathsToday #MathsChat
It's Day 2
Here is the latest video puzzle from Aoife Hunt https://mathsweekengland.co.uk/?page_id=7470 but there is so much more
Explore a treasure trove of puzzles, videos, and resources waiting for you on our website: http://www.mathsweekengland.co.uk. Let’s make maths magical together!
#MWE24 #ITeachMaths #MathsToday #MathsChat
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?
Good question asked here:
https://mathstodon.xyz/@TeaKayB/112957536265268967
Can we start to build the community of #Maths #Teachers here?
Two lines, 𝓁 and 𝓂, both have positive slope.
The angle 𝓂 makes with the x-axis is twice the angle 𝓁 makes.
The slope of 𝓂 is nine times the slope of 𝓁.
Find the slopes of the two lines.
#math #maths #mathchat #mathschat #iteachmath
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
Mathematical Miscellany #93, A mathematics resources compilation: GCSE Big Revision Quizzes-Craig Barton, Explain the errors-Andy Lutwyche, Sparx Maths Crossover Workbooks (free), AMSP Further Maths Conference Resources, Dr Frost Key Skills #mathschat
https://colleenyoung.org/2024/01/21/mathematical-miscellany-93/
A mathematics resources compilation: GCSE worked examples - Dave Taylor, OAT Maths, Venn Diagrams - Helen Konstantine, Diagnostic Questions - Eedi quizzes, Worked example animation library - Matt Woodfine Maths White Board. #mathschat #mathchat #mathscpdc
https://colleenyoung.org/2024/01/07/mathematical-miscellany-91/
December 2023 is coming ... see Maths Advent calendars and Christmas resources collections. #mathschat
https://colleenyoung.org/2023/11/18/december-2023-is-coming/