Grace did exactly the same - she’s now 3.5. One of her favourite games is to count pencils - so over dinner we slap down a bunch of pencils, she guesses how many are there and then counts to see if she is right or wrong. Then we add some or take some away and repeat the process. Then we ask her if her guess was right or wrong - with no judgement attached; for us the idea of testing a hypothesis is important, it doesn’t matter wherever the hypothesis turns out to be correct. My husband once told her that the process was called “testing a hypothesis”, so now she says “My hi-pot-assist” was right/wrong”, which is just so cute!
Personally, I think as long as they feel it’s a game and is good fun, I’m going to go with it - I don’t really understand the concept of actively holding a child *back* from learning as our local Steiner school does - that feels as bad to me as hothousing :( .