@KarenCampe@mathstodon.xyz
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KarenCampe

@KarenCampe@mathstodon.xyz

Math teacher using technology for understanding • Connecticut USA
Reflections & Tangents blog: https://karendcampe.wordpress.com
#MTBoS #iTeachMath #T3Learns

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christianp, to random
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On Sunday I published a video and a blog post on the @aperiodical about a really nice puzzle/solitaire game invented by Ed Kirkby, which I call "Double Back".
Have a look: https://aperiodical.com/2023/12/the-double-back-puzzle-is-a-nice-mix-of-towers-of-hanoi-and-solitaire/

KarenCampe,
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@christianp Is it supposed to hide the numbers while you play? [it's overloading my cognitive load at the moment 🤪 but fun to play nevertheless...]

KarenCampe, to random
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ColinTheMathmo, to random
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Not that difficult, but a nice question: Calculate the area of the blue region.

KarenCampe,
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@ColinTheMathmo very nice problem, thanks!

christianp, to random
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I buy most books second-hand from wob.com these days. It's based in the UK, so they rarely have foreign books I'm looking for.
Are there any similar shops either in the UK or that can deliver to the UK, that stock books from elsewhere?

KarenCampe,
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@christianp @guetto Alibris is a non-Amazon owned online service I've used.

ColinTheMathmo, to random
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Drink Coffee! Do stupid things, faster, and with more energy! -- Darynda Jones

KarenCampe,
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@ColinTheMathmo 😂☕️

KarenCampe, to random
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{Cross-posted from Bksy}
{Responding to @geoffkrall post about how AI seems to always miss the mark on simple math stuff}

I don't know why people expect Large Language Models to be good at math.
It's like when our students just memorize tons of problems without any deep conceptual understanding and spit back whatever they think of first...

JimPropp, to random

A garbled version of my essay appears at https://show-hn.com/2023/10/22/apt-arithmetics-of-distance/ . It looks like it was translated into another language before being translated back into English. Anyone know who would create such a thing and why? (And am I risking anything by Approving it via WordPress?)

KarenCampe,
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@christianp @JimPropp my concern would be if it was reposted without attribution. Do you state a Creative Commons license on your site?
If they attribute to you, aren't using it for commercial use, haven't garbled it completely AND you allow it, then I guess it's extending your reach.

DavidKButler, to random
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The things a square root acts upon are held together by a vinculum. I wonder what it would be like if that was how we did it for all functions?

KarenCampe,
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@DavidKButler @RobertJackson58585858

Here you go David!
Ready for interpolation...

Table of natural logarithms

KarenCampe,
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@RobertJackson58585858
I'm older than David but younger than Robert.
Scientific calculators were around in high school but so new that we still learned how to interpolate logarithms.
Never used a slide rule, however...

KarenCampe,
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@RobertJackson58585858
I've got some in the attic, with instruction books...

MichaelPorter, to math
@MichaelPorter@ottawa.place avatar

Mathematicians and math educators only, please. Which is correct?
(Background - Math was my best subject, but it was decades ago, and now that I’m tutoring my niece I run into things like this… This is a genuine request for assistance, not a trap!)

At some point, probably long after I left a math class, I started assuming the square root sign meant both roots. I am now becoming aware that it only means the principal (positive) root, and if you want both roots you have to be explicit.

Comments very welcome.

KarenCampe,
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@DavidKButler @MichaelPorter
I agree with David: when you take a square root in the process of solving via "inverse operations" you must take the +/– root.

Then you can check for extraneous roots/ correct values in context and reject any that don't work.

KarenCampe,
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KarenCampe,
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@MichaelPorter @DavidKButler @sternengucker @k8nowak @scentoni @human3500 @FourT4 @Ittihadyya

Yeah, you can't see the images immediately, but you can click on their links to see them...

This amazing Chartodon is thanks to @ColinTheMathmo who helps run this place. Gratitude!!

fractalkitty, to random
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Lunes are delightful

KarenCampe,
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christianp, to random
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I've been thinking lately about how nonverbal I am when I'm moving about.
If I have an interaction with someone, like they let me past or I let them past or something notable happens, I can manage a smile or a noise like "huh!" but it takes me a good few seconds to work up the ability to speak, usually too long for it be worthwhile.
I think my brain is busy processing what's happening, and trying to come up with an appropriate response. I usually work out what I should have said about a minute down the road.
I suppose the worst case is that I come off as grumpy or stupid, but it'd be nice to be able to have a bit of chat with people.

KarenCampe,
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@christianp I sometimes am thinking deeply about whatever and am so focused that I haven't noticed someone has walked into the room.
The rest of the time I'm so distractible, noticing anything that appears/makes sound... AND an extreme extrovert so I want to say hi to everyone whom I see! 😉

ColinTheMathmo, (edited ) to random
@ColinTheMathmo@mathstodon.xyz avatar

A question for teachers, but I'd welcome thoughts from others.

In teaching, should one talk about a quadratic equation such as x^2+10x+25=0 as having one solution or a repeated solution, and do you think it matters?

If you're at all interested, or think some of your followers might be, then I'd be delighted if you would boost this for reach ... thank you.

KarenCampe,
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@ColinTheMathmo I call it one solution, one X-intercept, but also say "double root" 😝

When we "find all roots" of a polynomial equation, we notice that a degree-n polynomial has exactly n complex roots (counting any multiple roots as many times as their multiplicity) and "up to n" real roots, which are x-intercepts of the associated polynomial function.

KarenCampe, to random
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@christianp @ColinTheMathmo
Is this yet available on our Mathstodon server?

https://mstdn.social/@feditips/111104292329970824

KarenCampe,
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@christianp @ColinTheMathmo take as much time as you need.
Thanks as always for your dedicated work here!

christianp, to random
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The fateful day has arrived: I've got a new debit card, so I have to work through everything online that has my card details and update them.

Might end up like Chas & Dave after saying "debit" so much.

https://www.youtube.com/watch?v=qGNojF9qKS0

KarenCampe,
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@christianp they likely need the new 3 digit code for the card in order to keep processing. Probably: account number is same, expiry changed, & 3 digit code changes.

KarenCampe,
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@christianp 🤷‍♀️

KarenCampe, to random
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KarenCampe, to random
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Tagging folks in this discussion:
@DavidKButler @hpicciotto @benleis @ColinTheMathmo @MrKitMath @VMN_alex @RogoWiz
Check out the chart of the discussion as of the moment I called on Chartodon...

Also

https://mathstodon.xyz/@Chartodon/110941825128878733

KarenCampe,
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@ColinTheMathmo
thanks Colin!

DavidKButler, to random
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Taught my daughter C how to factorise quadratics today by focusing on the sum coming out to the coefficient of x before the product coming out to the constant term. It worked extremely well.

KarenCampe,
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@ColinTheMathmo @DavidKButler @benleis @hpicciotto
Colin, I've been saying "Try and revise" instead of "Guess and Check"

KarenCampe,
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@benleis @ColinTheMathmo @DavidKButler @hpicciotto
Benjamin, I feel like the a/=1 is a whole different case.
Then I have students considering factor pairs of a and c & possible arrangements... or "A•C method" which is finding factor pairs of the product a•c (similar to what Colin did).
Both ways still begin with factor pairs vs. addend pairs of B.
I can't find any reason why David's approach isn't as good... it's just different than I'm used to.

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