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Re:Calculus for Seven Year Olds [pdf] by parenthesis on Friday June 11, 2021 @07:17AM (#27471757)
I think a problem for many people with fractions is that there are many different ways to think of them. Numbers, slices of a pie, divisions, ratios, scales, quantities of non-whole units. This is a benefit: you can think of them in the most convenient way for what you are doing at a given moment. But I think it confuses people.

I wonder if it would be helpful to ban the division sign ÷. Often when I ask a young person what is 8/4 they will say 2/1 (great, they know how to simply fractions!). But 8 divided by 4 goes exactly, and you can just do that.

First present division of natural numbers with natural number answers as e.g. 18/6 = 3.

Then present 1/2 ???!!!

But wait, one object split equally between two people means each person gets half of the object. So 1/2 is a half.

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