you know, mathematics was my worst subject in school and i was immensely frustrated by it. for a very long time i thought i hated it. but as time moved on i began to notice that there are so many beautiful and mindblowingly interesting things you can do with mathematics and when i see videos like this i am fascinated and intrigued. unfortunately, the website you created where you can generate your own genaille rods doesnt load for me, but judging from the pictures they look beautiful! thank you for all the great, interesting videos you do! your channel just popped up a while ago for me and i am pleasantly surprised about how cool all the things are that you cover in your videos. you demonstrate how much more great stuff there is to be discovered in the field of mathematics. maybe in school the time was just not right for me to understand, but honestly, the school system could have been a lot better in introducing and opening up topic areas for pupils or catch those that missed out on some of the early knowledge that you need to get all the stuff later, but instead they just sprinted away, occasionally looking back at me over their shoulders, shrugging me off lol

@noahway13

2 жыл бұрын

You were probably taught by rote memorization. I hated math also, especially word problems. That showed I didn't know what was going on. Later, (ironically, I was having to tutor math) I found that if knew what was going on, math was amazing. I tried to go back and learn real-life problems for all math formulas, like, why would you divide fractions? Once I conceptualized it, I loved it. (Up to a point)

@Jr-qo4ls

2 жыл бұрын

Same here.

@anvilsbane

2 жыл бұрын

It just makes me nauseous .

@OTTO149x

2 жыл бұрын

Math is all divided up into little sections called, "completing the square", "long division", "factor the equation by grouping", "order of operation", etc... Just pick one of those that you might be able to handle, watch some tutorials on the subject and copy the teacher, then download a whole bunch of quiz questions and get really, really good at it and totally confident. Then pick another little section...:)

This definitely seems like something my high school math teacher would have in his classroom and get very excited when someone asked what they were for.

Genaille'd been working on the railroad all the live long day.

I'd never heard of these rods until now. Surprisingly I managed to follow your explanation of how these rods can be used to multiply and divide large numbers with a single digit number. Mostly I can't say that with mathematical videos so I have to conclude your powers of explanation are exceptional. Thank you Mr Staecker.

"That's what historians call Gangsta." This was a great video and the final sentence was icing on the cake.

bless the algorithm, I have no idea why I got this video recommended but it's neat

I'm French and I never heard about M. Genaille... French genius are hidden to French people... Thanks for sharing your finds and for the tribute to this man... Greetings

@annarboriter

2 жыл бұрын

The 19th century was truly the golden age of French scientific research. It's likely that you've not heard about Genaille because he was simply lost in the sea of even more important savants

@ChrisStaecker

2 жыл бұрын

@@annarboriter To be fair I was unable to find anything at all about Genaille except for these rods. I would like to know exactly what problem he was trying to solve and what specifically his conversations with Lucas were about, but I've had no luck.

this is fabulous. My grandson LOVES math. he's not even in Kindergarten yet, but LOVES MATH. Thankfully the entire family is glad to enable his love of math to his hearts delight!

If you search for "Genaille-Lucas Rulers" you find another video, done in Jan 2018 (this one is may 2017) and that one has 1+ million views, while this one is 90k. They are both good, but that goes showing that similarly good and informative videos are affected by the visibility of the other videos in the channel (and related channels). It is a pity, since this channel is a gem.

@ChrisStaecker

Жыл бұрын

That VSauce guy owes it all to me! Heh-

Computers and calculators began before the late 20th. My grandfather learned computer programming in the 40s and programmed mainframes until he retired in the mid-70s.

These looks like a fun thing to make and have your kids take to school

Pure genius! They are still around, too.

These kind of feel like a graphic cheat sheet for every sum (with constraints) that you could ever want to solve

Is there some significance to those positions where all the lines cross at the same point?

Amazing!

The Napiers' bones are awesome. Now Genaille. Cool.

Now what would they look like in another base, octal, hex or even binary. Well the binary would be really short I suppose.

I like all the pentagram like shapes in the division rods.

They did it again! The madmen with their rods

To divide ➗️ or multiply ✖️ by higher values, eg, 35, use 5 and 7. This will give the proper results, Happy calculations! Good luck with Primes.

Your Napier bones video was recommended prior this one. They look like mathematical cousins

Really cool and kind of tricky to guess how they would be used without instructions. How many copies of each number in a set? Is there another number on the back?

@ChrisStaecker

2 жыл бұрын

There isn't another number on the back of mine- the back of mine is covered with Home Depot logos. But a real-world usable set would contain at least 2 of each number, probably with different numbers on front and back.

They look like they would be really handy for stirring paint....

Home Depot must be on to you and the paint sticks by now...

Your adding machine display/collection needs a Curta.

@ChrisStaecker

2 жыл бұрын

You got a spare one? These paint sticks are a little more in my price range!

Cool.... Something you could combine with tally sticks...

This is amazing stuff developed by the thinkers before US, take a look!

can you make this for binary ? and what appens if you make this for binary ?

@tntboom21

2 жыл бұрын

make your baby... binary.

And of course you can use them to multiply by more than a single digit if you just add the sums of multiplying by the digit of each place and keep track of your zeros.

Any relation to how a slide rule works?

@ChrisStaecker

2 жыл бұрын

No- a slide rule is based on logarithms. This is just a bunch of multiplication tables with lines to help you carry.

As for any mathematical equation the solution space exists even before the equation is put to paper.

How about if the big number has multiples of the same number, like 777?

@ChrisStaecker

2 жыл бұрын

A typical set in the old days would have several copies of each digit rod. My set has 2 of each, so I can handle 77, but not 777. If you're really proficient, you can leapfrog the sticks as you go, in which case 2 of each would be good enough for any number.

@cayenigma

2 жыл бұрын

@@ChrisStaecker Thanks for a reply! Did not expect as it was an old video

How did they fit these inside my calculator?

Interesting, but a slide rule is a more versatile mechanical calculator.

Tzolkin?

Aren't these Napiers bones ?

@shrike6259

2 жыл бұрын

did you watch the video and had the audio on ?

A kid, with a little direction from Mom, could go from K-thru-12 math without leaving their room or turning their computers off, and that's by just using the free stuff online. And for a hundred bucks or so you can get the full meal deal complete with live teacher. The internet will teach you how to factor quadratic equations using the grouping method until you're blue in the face. And if you don't understand one tutorial, just put on another. It's great! I think the whole concept of "school" is about to change radically. And Mom can just look at your "history" button to see if you've been secretly playing games and sending emails so you've pretty well got to do your math... Then roll into school at 1:00 and do some sports and as much fooling around and flirting as possible...

reminded me enigma machine...

Witchcraft, got it :p

@annarboriter

2 жыл бұрын

French sorcery to be precise

2:41 Why 0 and not 9?

@ChrisStaecker

2 жыл бұрын

At 2:39 I follow the triangle which contains the 2, and end up at 0. Then I follow the very small triangle which contains only the 0, and I end up at the next 0. (Don't follow the lines themselves, follow the area between lines.)

*EVEN* the Thought of "New" .... When the Mind Carries _On,_ will we follow? Now i Know i know less. {{sigh}} until i don't. Thanks

Seems like it's a way to keep you from having to learn how to multiply and divide...thats good???

@ChrisStaecker

2 жыл бұрын

Like a calculator. Are those good?

😮😮😮😮😮😮😮!

I thought he was gonna hold them at different lengths on a table and play music on them

My father and sister would have loved these. They would have been up all night, I kid you not.

paint stick abacas

Those rods would be harder to read If You by accidentally used one to stir paint

i can do multiplication from left to right with Genaille Rods.

@ChrisStaecker

7 жыл бұрын

How?

@BenSchoolcraft

2 жыл бұрын

But can you ride your bike with no handlebars? Lead an army with no megaphone?

@mygills3050

2 жыл бұрын

Lies!

@mygills3050

2 жыл бұрын

He tells only lies!

The music is too loud 😖

Na aa, those are paint mixer sticks.

Fascinating. But, am I the only one who misread the title as being Genital Rods.😳

Wish the music weren't so loud. Even better would be no music at all. Thankfully, it stopped just after I posted my comment... - - Do I have superpowers?...

Sounds like a poor mans Slide rule

@ChrisStaecker

2 жыл бұрын

This isn't very similar to a slide rule. THIS is a poor man's slide rule: kzread.info/dash/bejne/Y5Wt2tSOksnYXbg.html

Read genitalie rods. I can say I was desapointed haha

I dont get it the way it do multiplying, you basically just re read the answer that you was solve normally before, its not calculate anything

The thick flock periodically please because bell secondly care off a witty steam. heartbreaking, naughty viscose