Durtles

f. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step.
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Discussion: Tell us about a math related project you're working on/worked on.
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e. The black cells are removed from the grid. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step.
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#hottake: People underestimate the time problem solving takes. It's normal to not know how to solve it at first glance. It's normal to not know after days. The point is to keep trying things when you don't know. That persistence is more important to teach our kids than the solutions. #MathSky

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d. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step.
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Poke the Problem Visit Amazon's Poke the Problem Page and shop for all Poke the Problem books. Check out pictures, author information, and reviews of Poke the Problem

If you're new to our books and live in a region where our books are available on amazon, you can get a free copy of our Finding Paths book. DM us a delivery address and phone number to claim yours. One book per address. #MathSky #PromoSunday
mybook.to/hTtGl

c. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step.
#math #maths #ProblemSolving #iteachmath #mathsky

At what grade level do you think kids should be allowed to use calculators? #MathSky #Community

1️⃣ Gr. 4-6, when calculations become tedious.
2️⃣ Gr. 7-9, when calculations are not the point.
3️⃣ Gr. 10-12, with radicals, trigs, and logs.
4️⃣ Nevah. Muahahaha.

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b. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step.
#math #maths #ProblemSolving #iteachmath #mathsky

#hottake: It's not the math teachers' job to come up with good math problems outside of the textbooks, just as it's not the English teachers' job to write all the stories and not the music teachers' job to compose all the songs. That's a separate profession we need for math. #MathSky

a. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step.
#math #maths #ProblemSolving #iteachmath #mathsky

Sorry I was gone for 4 months when I said I was only taking a month-long break. 😅 I now have my ducks in a row with a (hopefully) more sustainable posting schedule. Stay tuned starting this week. 😉
#MathSky

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?
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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?
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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?
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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
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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)
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