Every kid can potentially make the same exciting discoveries that Archimedes, Galileo, Pythagorus and other greats did - with a bit of guidance and preparation. Every kid won't make every discovery, but look for opportunities to prepare the groundwork, guide and let loose so they can have the fun of figuring out something fundamental for themselves.

Even something super simple like the fact that the counting numbers are the sum of that many ones - that the number we call 'five' is in fact the sum of five individual units - can be a discovery at a young age, using manipulatives like cuisenaire rods.