Colin the Mathmo<p>Every polynomial with real coefficients factors into linear and quadratic terms.</p><p>How much machinery is needed to show this?</p><p>If it crosses the X-axis then it has a linear term.</p><p>If it doesn't cross the X-axis then it is of even degree, and the roots come in complex conjugate pairs.</p><p>What the minimum needed to see this?</p><p><a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>maths</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <br><a href="https://mathstodon.xyz/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>algebra</span></a> <a href="https://mathstodon.xyz/tags/ComplexNumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ComplexNumbers</span></a> <br><a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsChat</span></a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathChat</span></a></p>
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#mathschat
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Colin the Mathmo<p>I've been thinking about this for ages, but never had the time to craft the words around it.</p><p>People keep saying that "Maths should be fun" ... and I push back with "It should be engaging ... 'fun' is a different thing.</p><p>So <span class="h-card" translate="no"><a href="https://mathstodon.xyz/@rakhichawla" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>rakhichawla</span></a></span> has posted pretty much exactly this, but better than I ever could.</p><p>I'm copying it here with permission.</p><p>Please read this, then as it says at the end ... let's have a deeper conversation about this ...</p><p>1/n</p><p>(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)</p><p>Hashtags: <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEd</span></a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEd</span></a> <a href="https://mathstodon.xyz/tags/MathEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEdChat</span></a> <a href="https://mathstodon.xyz/tags/MathsEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEdChat</span></a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathChat</span></a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsChat</span></a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MTBoS</span></a> <a href="https://mathstodon.xyz/tags/TMWYK" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TMWYK</span></a></p>
Colin the Mathmo<p>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.</p><p>So I'm copying it "by hand"</p><p>Here's a chart of the full conversation:</p><p><a href="https://www.solipsys.co.uk/Chartter/1856750472826085652.svg" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">solipsys.co.uk/Chartter/185675</span><span class="invisible">0472826085652.svg</span></a></p><p>Here's the head of the conversation:</p><p><a href="https://x.com/TweetingCynical/status/1856750459110986045" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">x.com/TweetingCynical/status/1</span><span class="invisible">856750459110986045</span></a></p><p> <br><a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MTBoS</span></a> <a href="https://mathstodon.xyz/tags/TMWYK" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TMWYK</span></a> <br><a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathChat</span></a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsChat</span></a> <br><a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEd</span></a> <a href="https://mathstodon.xyz/tags/MathEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEdChat</span></a> <br><a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEd</span></a> <a href="https://mathstodon.xyz/tags/MathsEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEdChat</span></a> </p><p> I will occasionally update the chart of *this* conversation, and it will be here:</p><p><a href="https://www.solipsys.co.uk/Chartodon/TeachingTellingTheTime.svg" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">solipsys.co.uk/Chartodon/Teach</span><span class="invisible">ingTellingTheTime.svg</span></a><br> <br>Here is the content ...</p>
Karen Campe<p><span class="h-card" translate="no"><a href="https://mathstodon.xyz/@DavidKButler" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>DavidKButler</span></a></span> <span class="h-card" translate="no"><a href="https://ottawa.place/@MichaelPorter" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>MichaelPorter</span></a></span> </p><p>WHAT a great conversation: here is a Chartodon chart of it:<br><a href="https://www.solipsys.co.uk/Chartodon/111246679479501057.svg" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">solipsys.co.uk/Chartodon/11124</span><span class="invisible">6679479501057.svg</span></a></p><p>cc:<span class="h-card" translate="no"><a href="https://rollenspiel.social/@sternengucker" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>sternengucker</span></a></span> <span class="h-card" translate="no"><a href="https://mathstodon.xyz/@k8nowak" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>k8nowak</span></a></span> <span class="h-card" translate="no"><a href="https://mathstodon.xyz/@scentoni" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>scentoni</span></a></span> <span class="h-card" translate="no"><a href="https://ottawa.place/@human3500" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>human3500</span></a></span> <br><span class="h-card" translate="no"><a href="https://mastodonapp.uk/@FourT4" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>FourT4</span></a></span> <br><span class="h-card" translate="no"><a href="https://tech.lgbt/@Ittihadyya" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>Ittihadyya</span></a></span> </p><p><a href="https://mathstodon.xyz/tags/ClassroomMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClassroomMath</span></a> <a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsChat</span></a> <a href="https://mathstodon.xyz/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <a href="https://mathstodon.xyz/tags/EduToot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>EduToot</span></a> <a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MTBoS</span></a></p>
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