One technique I use when teaching math to little kids is to get them rapidly to the point where they can answer what seem like impossibly hard questions. E.g. half of 3, half of 5, half of 7, half of 9 (by which point they see the pattern), half of 101, half of 1001.
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I don't know if this is the best way to explain the underlying concepts, but it's definitely good for morale. It seems like magic to be able to say what half of 1001 is when you're at an age where you still have to think about what half of 7 is.
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Replying to @paulg
I presume you're telling them that half of 3 is 1 and 1/2, half of 5 is 2 and 1/2, half of 7 is 3 and 1/2, etc. But have you told them what 1/2 is? If not, then you're merely pointing out that 3 = 1 + 1 + 1, 5 = 2 + 2 + 1, 7 = 3 + 3 + 1, etc.
8:50 AM - 4 Jun 2019
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