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Rachel WrightI'm doing some of my "follow the instructions for a change" <a href="https://mathstodon.xyz/tags/Sashiko" class="mention hashtag" rel="nofollow noopener" target="_blank">#Sashiko</a>, 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 <a href="https://mathstodon.xyz/@ColinTheMathmo" class="u-url mention" rel="nofollow noopener" target="_blank">@ColinTheMathmo</a>, and he did spot something I'd missed, but it confirmed the impossibility.I'll have to fudge it...<a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/GraphTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#GraphTheory</a> <a href="https://mathstodon.xyz/tags/HandEmbroidery" class="mention hashtag" rel="nofollow noopener" target="_blank">#HandEmbroidery</a>

Colin the MathmoEvery 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?<a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a> <a href="https://mathstodon.xyz/tags/ComplexNumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#ComplexNumbers</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathChat</a>

Colin the MathmoI'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 <a href="https://mathstodon.xyz/@rakhichawla" class="u-url mention" rel="nofollow noopener" target="_blank">@rakhichawla</a> 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: <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEd</a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsEd</a> <a href="https://mathstodon.xyz/tags/MathEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEdChat</a> <a href="https://mathstodon.xyz/tags/MathsEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsEdChat</a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathChat</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a> <a href="https://mathstodon.xyz/tags/TMWYK" class="mention hashtag" rel="nofollow noopener" target="_blank">#TMWYK</a>

Colin the MathmoFermat 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?<a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#Math</a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsEd</a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEd</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathChat</a> <a href="https://mathstodon.xyz/tags/Fermat" class="mention hashtag" rel="nofollow noopener" target="_blank">#Fermat</a> <a href="https://mathstodon.xyz/tags/Conjecture" class="mention hashtag" rel="nofollow noopener" target="_blank">#Conjecture</a> <a href="https://mathstodon.xyz/tags/Primes" class="mention hashtag" rel="nofollow noopener" target="_blank">#Primes</a> <a href="https://mathstodon.xyz/tags/FermatPrimes" class="mention hashtag" rel="nofollow noopener" target="_blank">#FermatPrimes</a>

Colin the MathmoSome 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:<a href="https://www.solipsys.co.uk/Chartter/1856750472826085652.svg" rel="nofollow noopener" translate="no" target="_blank">https://www.solipsys.co.uk/Chartter/1856750472826085652.svg</a>Here's the head of the conversation:<a href="https://x.com/TweetingCynical/status/1856750459110986045" rel="nofollow noopener" translate="no" target="_blank">https://x.com/TweetingCynical/status/1856750459110986045</a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a> <a href="https://mathstodon.xyz/tags/TMWYK" class="mention hashtag" rel="nofollow noopener" target="_blank">#TMWYK</a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathChat</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEd</a> <a href="https://mathstodon.xyz/tags/MathEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEdChat</a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsEd</a> <a href="https://mathstodon.xyz/tags/MathsEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsEdChat</a> I will occasionally update the chart of *this* conversation, and it will be here:<a href="https://www.solipsys.co.uk/Chartodon/TeachingTellingTheTime.svg" rel="nofollow noopener" translate="no" target="_blank">https://www.solipsys.co.uk/Chartodon/TeachingTellingTheTime.svg</a> Here is the content ...

Karen CampeSome fun math "switcheroos": A% of B = B% of A log_b(a) = 1/log_a(b) Sin(A) = Cos(B) in right triangleDo 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}<a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a> <a href="https://mathstodon.xyz/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#iTeachMath</a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathChat</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a>

Colin the MathmoIt's Maths Week England !!!!<a href="https://mathsweekengland.co.uk/" rel="nofollow noopener" translate="no" target="_blank">https://mathsweekengland.co.uk/</a><a href="https://mathstodon.xyz/tags/MWE2024" class="mention hashtag" rel="nofollow noopener" target="_blank">#MWE2024</a> <a href="https://mathstodon.xyz/tags/MWE24" class="mention hashtag" rel="nofollow noopener" target="_blank">#MWE24</a> <a href="https://mathstodon.xyz/tags/MathsToday" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsToday</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsEd</a> <a href="https://mathstodon.xyz/tags/RecreationalMaths" class="mention hashtag" rel="nofollow noopener" target="_blank">#RecreationalMaths</a> <a href="https://mathstodon.xyz/tags/RecMaths" class="mention hashtag" rel="nofollow noopener" target="_blank">#RecMaths</a> <a href="https://mathstodon.xyz/tags/RecreationalMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#RecreationalMath</a> <a href="https://mathstodon.xyz/tags/RecMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#RecMath</a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEd</a> <a href="https://mathstodon.xyz/tags/MathEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEdChat</a>

MathsWeekEngland🚀 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<a href="https://mathstodon.xyz/tags/teammaths" class="mention hashtag" rel="nofollow noopener" target="_blank">#teammaths</a> <a href="https://mathstodon.xyz/tags/Mathschat" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathschat</a> <a href="https://mathstodon.xyz/tags/PrimaryMaths" class="mention hashtag" rel="nofollow noopener" target="_blank">#PrimaryMaths</a> <a href="https://mathstodon.xyz/tags/MathsToday" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsToday</a> <a href="https://mathstodon.xyz/tags/Mathsjam" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathsjam</a>

Colin the MathmoHave 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?<a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/EduMaths" class="mention hashtag" rel="nofollow noopener" target="_blank">#EduMaths</a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a>

Colin the MathmoGood question asked here:<a href="https://mathstodon.xyz/@TeaKayB/112957536265268967" rel="nofollow noopener" translate="no" target="_blank">https://mathstodon.xyz/@TeaKayB/112957536265268967</a>Can we start to build the community of <a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mathstodon.xyz/tags/Teachers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Teachers</a> here?<a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/EduMaths" class="mention hashtag" rel="nofollow noopener" target="_blank">#EduMaths</a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a>

Colin the MathmoI'm not a teacher so I can' vote in this poll, but I hope people see it and respond.<a href="https://mathstodon.xyz/deck/@karenshancock/111917845731283757" rel="nofollow noopener" translate="no" target="_blank">https://mathstodon.xyz/deck/@karenshancock/111917845731283757</a><a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathChat</a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEd</a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsEd</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/ITeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#ITeachMath</a> <a href="https://mathstodon.xyz/tags/ITeachMaths" class="mention hashtag" rel="nofollow noopener" target="_blank">#ITeachMaths</a>

Karen Campe<a href="https://mathstodon.xyz/@DavidKButler" class="u-url mention" rel="nofollow noopener" target="_blank">@DavidKButler</a> <a href="https://ottawa.place/@MichaelPorter" class="u-url mention" rel="nofollow noopener" target="_blank">@MichaelPorter</a> WHAT a great conversation: here is a Chartodon chart of it: <a href="https://www.solipsys.co.uk/Chartodon/111246679479501057.svg" rel="nofollow noopener" translate="no" target="_blank">https://www.solipsys.co.uk/Chartodon/111246679479501057.svg</a>cc:<a href="https://rollenspiel.social/@sternengucker" class="u-url mention" rel="nofollow noopener" target="_blank">@sternengucker</a> <a href="https://mathstodon.xyz/@k8nowak" class="u-url mention" rel="nofollow noopener" target="_blank">@k8nowak</a> <a href="https://mathstodon.xyz/@scentoni" class="u-url mention" rel="nofollow noopener" target="_blank">@scentoni</a> <a href="https://ottawa.place/@human3500" class="u-url mention" rel="nofollow noopener" target="_blank">@human3500</a> <a href="https://mastodonapp.uk/@FourT4" class="u-url mention" rel="nofollow noopener" target="_blank">@FourT4</a> <a href="https://tech.lgbt/@Ittihadyya" class="u-url mention" rel="nofollow noopener" target="_blank">@Ittihadyya</a> <a href="https://mathstodon.xyz/tags/ClassroomMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#ClassroomMath</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#iTeachMath</a> <a href="https://mathstodon.xyz/tags/EduToot" class="mention hashtag" rel="nofollow noopener" target="_blank">#EduToot</a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a>

Colin the Mathmo<a href="https://mathstodon.xyz/@samjshah" class="u-url mention" rel="nofollow noopener" target="_blank">@samjshah</a> Fabulous!Once they've joined it would be useful to have a consistent hashtag. Some that have been used already include:<a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathChat</a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathsChat</a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#MTBoS</a> <a href="https://mathstodon.xyz/tags/MathEducation" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEducation</a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEd</a> <a href="https://mathstodon.xyz/tags/education" class="mention hashtag" rel="nofollow noopener" target="_blank">#education</a> <a href="https://mathstodon.xyz/tags/teachers" class="mention hashtag" rel="nofollow noopener" target="_blank">#teachers</a> It will be great to get the math teaching community here and get some cross-fertilisation.<a href="https://mathstodon.xyz/@christianp" class="u-url mention" rel="nofollow noopener" target="_blank">@christianp</a> <a href="https://mathstodon.xyz/@jreulbach" class="u-url mention" rel="nofollow noopener" target="_blank">@jreulbach</a>

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