Comments on: Rethinking Arithmetic: A Visual Guide https://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/ Math lessons that click Sat, 03 Nov 2018 15:09:00 +0000 hourly 1 By: Sebastien Paquet https://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-354448 Sat, 03 Nov 2018 15:09:00 +0000 http://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-354448 I’ve been learning GLSL for shaders and this helps a lot. I always sucked at math and was looking for a different way to understand. Also, the random numbers example is great. It’s the type of thing I do all the time in Touchdesigner. Actually, I might even push the ideas using the math operator in TD and make a tutorial.

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By: JonCard https://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-347605 Tue, 21 Aug 2018 20:25:00 +0000 http://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-347605 In reply to JonCard.

I don’t mean to just pile on work for you, but this is something I’m trying to explain, so I thought it might be an interesting idea for you to include. I have been trying to come up with a video that would explain how to read an equation as a description and an explanation, rather than as a “magic formula”, and how to turn it into something physical like a device, using as an example work I am doing to experiment with the EMDrive (buildanemdrive.org), and this was one of the things I was trying to explain. Maybe it’s not appropriate to try to glom it only your article.

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By: JonCard https://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-347604 Tue, 21 Aug 2018 20:18:00 +0000 http://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-347604 Can I ask that you include something about multiplication? In addition to Repetition and Scaling, there’s also that every piece of one number interacts with every piece of another number. Like, if you add 2 to 10, or you add 2 to 100, they both only get 2 bigger, but when you multiply 10 by 2, or 100 by 2, you increase by a lot more.

It’s like why the force of gravity is related to the product of two masses, not the sum of the mass in both objects. Every piece of one object pulls on every piece of the other object, so there’s more pulling when the objects are the same size, even more than when the same amount of mass is divided into one big body and one small body. Or like why the area of a square is bigger than the area of a rectangle with the same perimeter. When you have a relationship between two things where every part of one thing interacts with every part of the other thing, that relationship is multiplicative.

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By: JonCard https://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-347603 Tue, 21 Aug 2018 20:12:00 +0000 http://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/#comment-347603 In reply to Pravin Patel.

(Sorry if this is really old) Check out the article on imaginary numbers for an explanation of why -8 * -8 is 64. It’s like stretching the 8, and then flipping it around to be positive, and not really about making it 64 bigger. Does that make sense?

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