highergeometer, to random
@highergeometer@mathstodon.xyz avatar

A colleague asked what I thought ((\frac10)^0) should be.

What are your thoughts?

I had an idea about something related to this, but I want to see others' comments first. I'll reply to this with a spoilered text with that idea.

#mtbos

highergeometer, to random
@highergeometer@mathstodon.xyz avatar

If you had to prove there were no square circles, how would you go about it? And state your context and assumptions/definitions up front.

highergeometer,
@highergeometer@mathstodon.xyz avatar

What if I then showed you this picture?

(taken from Wikipedia)

techknowsue, to random
@techknowsue@mastodon.social avatar

🟡TPC Quick Tip 22 ⚡️
🟡 Find a Minimum ⬇️

video/mp4

peterrowlett, to random
@peterrowlett@mathstodon.xyz avatar

Teachers! When am I ever going to use this? @stecks talks Pythagoras in the real world. This weekend’s New Scientist or on the website.

KarenCampe, to random
@KarenCampe@mathstodon.xyz avatar
highergeometer, to random
@highergeometer@mathstodon.xyz avatar

I had a fun little chat with Miss R (5) the other day. She asked me "What is one hundred plus two more hundreds?". When I said "three hundred", she said no, not a hundred and then three added on (or add one, add one, add one, or add one and then add two).

So we got to have a little chat about "a hundred and three" vs "three hundred".

It turns out that addition might be commutative, but the words we use to speak positional notation aren't :-)

#mtbos

fractalkitty, to random
@fractalkitty@mathstodon.xyz avatar

Blogpost on sumfib: https://fractalkitty.com/2024/03/21/sumfib/

If anyone has activities, suggestions, or questions to add, please send them my way.

geonz, to random
@geonz@mathstodon.xyz avatar

so somebody asked a basic percent question on reddit: if If 62% of a number is 29.54 then what is 100% of that number?

The explanation (other folks did the standard issue percent proportion that the person probaby has seen...):

If 62% of a number is 29.54,
then 1% of that number is 29.54/62.

If 1% of a number is 29.54/62 then 100% of that number is

100×29.54/62

It made sense to the posting person ;) I'm figuring out why :)

fractalkitty, to genart
@fractalkitty@mathstodon.xyz avatar

This needs tweaks, but if you want to endlessly add fibonacci numbers...

Is it endless?

What is the average score of randomly moving until you lose?

do you play better when you don't try?

I might bother to answer these, I might not.

https://sumfib.com/

It should work on mobile other than not having a delay when you hit the end. (I need to figure out how to fix that)

#mathart #creativecoding #pisano #fibonacci #sums #sequences #math #mathematics #addingGames #p5js #processing

fractalkitty,
@fractalkitty@mathstodon.xyz avatar
geonz, to random
@geonz@mathstodon.xyz avatar

tryin' not to be in front of computer all mornign but #mtbos reddit just had a post "best apps for college math, not for cheating" and desmos (I added geogebra), wolfram and youtube didn't suprise me but "anki for flashcards" was new. https://apps.ankiweb.net/ #OER it's open source, too...

fractalkitty, to random
@fractalkitty@mathstodon.xyz avatar

Hi all! The 225th Carnival of Mathematics is posted!

https://fractalkitty.com/2024/03/02/carnival-of-mathematics-225/

Thanks everyone for the submissions, blogging, musings, and art.

If you feel like I have missed something or forgot to submit, please let me know.

@KarenCampe @jcponcemath @stecks @drj @shiffman @diffgeom

#carnivalOfMaths #blogCarnival #mtbos #mathArt #connections225

geonz, to random
@geonz@mathstodon.xyz avatar

#mtbos there are people who think that audiobooks or text-to-speech are "cheating."
I wonder (no, I suspect strongly) that some people feel the same way about teaching math after ?th grade with concrete-representational-abstract structures... that somehow, if you aren't fluent in the symbol processing, you won't really be able to use math if we have to get you there via that path.
Now, you just m ight not if I don't include the structured bridges to the abstract, but maybe you can, if I do.

geonz, to random
@geonz@mathstodon.xyz avatar

OK I'm trying to help plan an event. (UGH UGH UGH)
How can we communicate? Google doc? Text messages to a group? Email group? (one has said they dn't really check email; another sometimes has trouble w/ doing it).... Blog site they can comment on? #mtbos I know it's not really math but ... reaching out...

fractalkitty, to random
@fractalkitty@mathstodon.xyz avatar

Hi all! I am hosting the Carnival of Mathematics for March. Please submit any amazing math articles, news, art, music, and musings here: https://aperiodical.com/carnival-of-mathematics/

I’m super excited to host Carnival 225 - if you have extra fun facts about this number please share. I plan to make some artwork for it.

#carnivalOfMathematics #mathart #mtbos #iteachmath

ColinTheMathmo, to random
@ColinTheMathmo@mathstodon.xyz avatar

A friend of mine has asked about this:

https://mathstodon.xyz/@ftp_alun/111931340596327649

Thoughts?

Is this appropriate for 6th graders?

Given it's a problem to be used with 6th graders ... how would you present it?

ColinTheMathmo, to random
@ColinTheMathmo@mathstodon.xyz avatar

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

karenshancock, to random
@karenshancock@mathstodon.xyz avatar

Following on from a discussion on misconceptions in Maths on Friday, gauging if there is any appetite for me finally publishing my self explanation prompts for worked examples. It'll be a slow process, but if I'm going to start the holiday is the time to start! (Poll in next post)

A worked example with self explanation prompts on generating sequences.
A worked example on reverse percentages with self explanation prompts

karenshancock,
@karenshancock@mathstodon.xyz avatar

Poll - would you use them for reference (pictures only), as a resource (editable files) or not all bothered (probably wouldn't use or refer to them)? (see pictures above)

geonz, to random
@geonz@mathstodon.xyz avatar

https://hechingerreport.org/how-one-district-has-diversified-its-advanced-math-classes-without-the-controversy/
“We try really, really hard not to keep people out” of accelerated math, she said. “But we do our best to give them the tools to succeed.”
THorough article :) #mtbos #iteachmath

peterrowlett, to random
@peterrowlett@mathstodon.xyz avatar

New paper, free to read

I solve a problem about coincidence, but really it's about problem solving and bakes in some stuff about mathematical thinking, creativity, and communication.

https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2033&context=jhm

highergeometer, to random
@highergeometer@mathstodon.xyz avatar

Here's a fun fact I just looked up: Western Australia is 2.5 times the area of Texas, but whereas Texas has 210 people for every 2 square miles, Western Australia has 5. And three-quarters of the WA population is concentrated in Perth.

Challenge: what's the average population density of WA outside Perth? What number or numbers would you need/could you use in addition to the above to calculate this? What other numbers could you calculate from the above if you had one more related number?

#MTBoS

geonz, to random
@geonz@mathstodon.xyz avatar

#mtbos so the 050 instructor brought the 5 students in the "late start" section to the tutoring lab today, and they were full of questions. They had asked whether there was anybody who "got" why / how students ... didn't get math.
So I 'splained that yes, I had a master's degree in learning disabilities and had kinda specialized in exactly that these decades.
Instructor told me that class had started w/lots of negative body language, tension but somehow somebody had started being honest and when one had said they couldn't even divide that they all started sharing their stories and being loud and laughing and ... they'll start working w/ number lines Wednesday, and they know where to go for more help...

KarenCampe, to random
@KarenCampe@mathstodon.xyz avatar
KarenCampe,
@KarenCampe@mathstodon.xyz avatar

Today's question: Let p be any prime greater than 3. How often will either of the integers p+1 or p-1 be divisible by 6?
#TryMathLive #TryMathsLive means I'm going to share my thinking here...
#MTBoS #iTeachMath #ClassroomMath #MathChat #MathEd #MathsEdChat #RecreationalMath #ProblemSolving

KarenCampe,
@KarenCampe@mathstodon.xyz avatar

Thus, for EVERY prime p > 3, either p-1 or p+1 must be divisible by 6.
How often? ALL THE TIME.

That was fun! Please share how you thought about it.
And check out the January Calendar of problems for more #ProblemSolving
#MTBoS #iTeachMath #ClassroomMath #MathChat #MathEd #MathsEdChat #RecreationalMath

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