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peterrowlett, to random

My 9yo: “Do you want to know what I think links all mathematics together? Pascal’s triangle. It’s got so much in it, even Fibonacci numbers!”

peterrowlett, to random

My son: “I’ve spotted a little typo in Kyle’s book. He says natural logarithm, or L N for short, not N L.”

vacapinta,

@peterrowlett never thought about this until this post. I suppose from logarithmus naturalis but I can't find a reliable source.

11011110,
@11011110@mathstodon.xyz avatar

@peterrowlett @vacapinta Earliest I can find is an 1813 book by Mauricius de Prasse who uses both l.n. and logarithmus naturalis on the same page: https://books.google.com/books?id=DR1fAAAAcAAJ&pg=PA243 (elsewhere he also uses L.nat. and Log.nat.)

peterrowlett, to random

Even though they made it quite a trial — they’ve made it you now need to have and remember to take ID, and they’ve moved my polling station a 20-minute walk away from where it’s been for as long as anyone can remember.

peterrowlett, to random

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.

peterrowlett, to random

Amusing my son with the fact today’s date is “twenty four twenty-four”

loke,
@loke@functional.cafe avatar

@christianp @peterrowlett I'm so sad that the Swedish way of saying this is roughly "twenty-fourth in the fourth twenty-four".

christianp,
@christianp@mathstodon.xyz avatar

@loke @peterrowlett I'd say today is the twentieth of the fourth, twenty-four, so I don't think Swedish is that different. Peter just skipped some words to make it better 😉

peterrowlett, to random

This morning my son said “I’m trying to work out how many ways there are putting up three fingers” (holding up one hand). I showed him if you put one finger down there are four choices which other finger to put down. Since there are five choices for which you put down first, that makes 5×4=20. Then I showed him that each pair could be put down two ways, so doing this meant we’d counted each pair twice, so the answer is 10. He wanted to know how this works for other numbers, which led us into a conversation involving factorials, which was pretty deep for an 8yo.

Then this afternoon he called me over and said he was trying to use this to work out how many teddy bears he could make. By pattern matching he’d found 8. I explained this was not the same problem because we aren’t choosing any three from six, but have to pick the right body parts. I showed him there are two sets of bears, one with each head. Then there are two sets, one with each body, and the same for legs. So there are 2×2×2=8 bears.

peterrowlett, to random

Delighted to see George Green's Windmill is getting funding for repairs!

The windmill was owned by mathematical physicist George Green (1793-1841) and built by his father, and has been a working windmill and science centre since it was restored in the 1980s. Alas the sails were removed in 2022 - I took this picture when I visited in January 2024.

Apparently the money will be used for repairs to the sails, machinery and building, and will make the mill fully operational again.
https://www.bbc.co.uk/news/uk-england-nottinghamshire-68658634

peterrowlett, to random

How would you answer this? Use a spoiler warning! I’ll put my 8yo’s method in a reply behind a spoiler.

18+ peterrowlett,

My son’s answer. He said he thought about the single digit squares and they are 1, 3 and 9. He knew it couldn’t be zero or two because there aren’t zero- or two-sided shapes. So he checked 72 is in the 8s times table. Clearly he didn’t need the factors bit, I wonder if this is intended as part of the knowledge needed for that question, but it did reassure him his answer was correct.

peterrowlett, to random

Martin Gardner, writing in 1977. Email was already being sent, telegrams had been around forever. I guess what he describes is more like a fax machine than email?

(The article this is introducing is about ciphers to protect such electronic communications, so this is an introductory sideline.)

christianp,
@christianp@mathstodon.xyz avatar

@peterrowlett I wonder how common computers with live displays instead of teletype printers were in 1977. I suppose even if people were using personal computers with CRT displays, it would still feel more reasonable to read a letter in paper than on a screen

11011110,
@11011110@mathstodon.xyz avatar

@christianp @peterrowlett The TRS-80 came out in 1977. I think up to then kit home microcomputers like the Altair 8800 might well have had only a teletype. And only a very niche hobby rather than commonplace.

peterrowlett, to random

My 8yo: What’s 2 times pi?

Me: Well pi is three-and-a-bit, so 2 times pi would be six-and-a-bit.

Him: Six and two bits.

Me: Yes. Six and a bigger bit.

Him: Can you think of a number in the pi times table that’s a whole number?

Girgias,
@Girgias@phpc.social avatar

@peterrowlett Can you use pi times 0 for a cheeky answer?

Extelec,
@Extelec@mstdn.social avatar

@peterrowlett The number Tau ?

peterrowlett, to random

I agreed to run a primary school ‘maths puzzles and games’ club for years 4-6. So I have a bag of bits and I’m off to run the first session on Noughts and Crosses variants. Wish me luck!

peterrowlett, to random

I set my 8yo working out 18×17 on the walk to school, to demonstrate to him that he is good at multiplication even if he can’t score full marks when school test him on his times tables. School want him to recall anything from 1×1 to 12×12 in six seconds, and to do 25 of these in a row with three seconds gap between each. He has some memorised, and can work out the rest correctly but not always in six seconds.

18×17: He split 17 into 10+5+2, then worked out 10 18s is 180, half that is 90, and double 18 is 36, then added 180+90=270 and added on the 36 for 306. He was very excited and proud, and we talked about how this is a good skill to have, even if it isn’t what’s being tested in the times table test.

peterrowlett, to random

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

peterrowlett, to random

My son decided to spend some time before breakfast playing Dobble. He said “I’m testing the Dobble theory”. He explained he was checking that each pair of cards had one symbol in common, and that there were no three cards which all share the same symbol. 1/2

peterrowlett,

He found a disproof of the second part! 2/2

peterrowlett, to random

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