this post was submitted on 29 Jan 2024
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I am genuinely stumped about how to explain why 3 is smaller than 10 in a way that isn't either "because it is" or requires early university math. And the moment we go to university maths all the comments about ambiguity are true and it's unsolvable.
Hm, how about "you can fit 3 into 10" or "if you take 3 away from 10, you still have something left over"?
I think my problem is that if you inversely asked why those are true, my answer would be "because 3 is smaller than 10".
I think I'd just write something like "1+1+1=3, 1+1+1+1+1+1+1+1+1+1=10, there are clearly more 1s in 10". But that also just feels like a "because i am defining 3 and 10 this way" = "because it is". Though now that I think about it, that's kinda just the simple version of the university level answer, it works i guess.
In reality I would hope anything somewhat sensible would be correct here anyway, since it's more about making the child think about their answer than anything.