Durtles

I just realized I do the pokemon thing but for math problems. 🤔 I catch them and "train" them until they evolve into a book or a video. 😅

I made this week's problem into a video too.
youtu.be/elp1RSD8Tq4
Sorry to take another break from the posting schedule so soon, but we have a family trip coming up. See you again in a month or so. ☺️
#math #maths #ProblemSolving #iteachmath #MathSky

f). How many different arrangements of the name cards for n people (where n is odd) are there that have this property?
#math #maths #ProblemSolving #iteachmath #mathsky

e). Prove or disprove that no arrangement of name cards work for even numbers of people.
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d). Prove that the reverse order arrangement of name cards always work for odd numbers of people.
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🤯 OEIS really does have everything under the sun! 😂

And look, you found all the ones for 7 people!

Oooo... What are the others you found, if you want to share?

Oh interesting! I was wondering if there are irregular ones and was tempted to hunt down a coder somewhere to do a brute force search for me. XD. How are you finding these?

That was my guess for 7 too until Everett here broke the illusion. XD

c). How many different arrangements of the name cards for 4 people are there that have this property? 6 people? 7 people?
#math #maths #ProblemSolving #iteachmath #mathsky

I made these books for my own kids. If you're a math problem enthusiast and have a child in your life with whom you want to share that love of math, feel free to check them out.
mybook.to/hTtGl
#mathsky #iteachmath #math #maths #ProblemSolving #MarketingMonday (I hesitated, so it's not Monday..)

b). How many different arrangements of the name cards for 5 people are there that have this property?
#math #maths #ProblemSolving #iteachmath #mathsky

Oh I haven't noticed that at all! That's very interesting.

(Different arrangement of name cards I mean. Ran out of characters there.)
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Happy Monday! This problem is inspired by the 1975 CMO Q6ii
Here are 5 people at a meeting. Notice if we place their name cards in reverse order, no matter how we turn the table, only one person will have the right name card at any time.
a). Find a different arrangement for 5 people like this.

So I made a video on this week's problem too.
youtu.be/zYsNc0oJKo8
#math #maths #ProblemSolving #iteachmath #mathsky

f). How many different arrangements of mismatching all name cards are there for n people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky

e). How many different arrangements of mismatching all name cards are there for 5 people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky

d). How many different arrangements of mismatching all name cards are there for 4 people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky

c). For which numbers of people is it always possible to rotate the table such that at least 2 people have the right name cards if they all start out mismatched?
#math #maths #ProblemSolving #iteachmath #mathsky

b). With 5 people at the meeting, sketch a way to place the name cards such that they’re all mismatched. Can you always rotate the table such that at least 2 people have the right name cards?
#math #maths #ProblemSolving #iteachmath #mathsky

Is there a website where I can read about Making Space? I'd love to learn more. ❤️

have to somehow teach the students to come up with their new original problem every time we run a Math Fair (which also means the adults have to know how to do it first...). I'd love to hear your ideas (and anyone else reading this convo, like @maria-naturalmath.bsky.social 😉)!

It's one of my long time dreams to figure out a sustainable way to run Math Fairs at scale with a constant stream of new problems. We'd have to have a global community of adult recreational math problem collectors/makers (like how a creative writing community supplies endless new stories), or we'd

Math Fair Problems - Galileo Educational Network A Math Fair is a non-competitive problem solving event that gives teachers an opportunity to have their students do problem solving with a particular goal…

problem pool, and also static (no new problems added regularly). There's the official website up there, and there's the list on the galileo website:
galileo.org/math-fairs/m...
which resulted in visitors getting tired of the problems after 2 or 3 years (the students were new to them each year).

Organizing & Preparing for the Fair Setting up a math fair based on the four SNAP guidelines can be done in several ways. This section contains 6 steps to follow about how to have your students and your school prepare for a SNAP math...

Have you heard of Math Fair?
www.mathfair.com/organizing--...
It's like a more coordinated student-run version of what you're doing here, and we tried to run it at our school as an annual event when I was still a teacher many years ago. The problem with it was that it had a relatively small

Happy Monday! This week's problem's inspired by the 1975 CMO Q6i.
a). 4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched. Then rotate the table such that at least 2 people have the right name cards. Is this always possible?

Oh that sounds insanely cool! How does the collaboration work? Do people look for the proof in parallel and share conclusions/thought processes with each other?

Oh is that right?! That is a very interesting result! Is it proven already? Or are you looking for a proof?

So I made a video on this week's problem.
youtu.be/MBl-Iy0Ykoo
#math #maths #ProblemSolving #iteachmath #mathsky