How do you train kids to see these?
One of the most useful types of insight (maybe the most useful type) is when you notice two apparently different things are the same. I've been training my kids to see these. Not intentionally, just by being delighted when they do.
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Are your kids neural nets
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Their brains are, quite literally
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Math is all about that.
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Science in general: First principles, fundamental laws, invariances...
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It's why I play hobby boardgames with my kids (everyone really). Pattern recognition is a superhero ability.
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a circle being homeomorphic to the real numbers together with the point infinity
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I remember a magical moment when my 3 year old granddaughter saw a basket of spotted Thanksgiving dinner rolls and joyfully declared, "Look, Papa, Bambi rolls!"
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Realising that one thing is actually the conflation of two different concepts is also quite fun: "These are 3 Fingers" vs. "This is the 3rd Finger". Different concepts (cardinals/ordinals) but same symbol "3".
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