Taking away the counting is reducing the thinking they have to do. If that's your goal, ok, but I personally think the counting, while mixed in with the "set logic" part, is an important component.
I could agree that you could have two modes, where that is one of them.
I would assume that the range has blurry boundaries. And yes, I think it would shift it lower if you remove the counting element. I have no doubt that my own daughter, when aged 2.5 years old, would have struggled with it a lot more with the counting, than without. When she was 4.5 years old, she would have been a lot more bored with it if it didn't have the counting.
I suppose there are other ways of putting it as well. I used "dumbed down" first, but that could be interpreted badly, like "appropriate for dumber kids", when I really mean "younger".
But the point remains, you make it less challenging, make it take less cognitive effort, decrease its learning benefit, etc if you simplify it by removing the need to count and make it so the child only has to touch objects.
I was going to suggest they add a feature to make it accept numbers entered via the the keyboard, but I figured I should check first if they've already done so. They did. :)
The list on the index page starts with 0, if nothing else it would be more consistent to start the counting section with 0 as well (FWIW I agree with the OP, I'm teaching my toddler to count starting with 0).
All I meant was what I said: If you're presenting numbers according to "numeric order, but with a weird exception due to the history of typewriters, which BTW your children have never heard of", then it would be simpler to remove that one weird exception. Or, to put it simpler: 0 is less than 1.
(FYI, I wasn't defending the zero on the right decision, I would prefer zero on the left)
Well yes, except they'd count to three still because they're starting on 0 and increase that with each apple.
Also, when the correct answer is revealed, it would be great to somehow highlight the cats that are actually described by the formula. Yes, this is hard for 0.
Also, the animations feel too fast to me. I find they make the whole thing stressful, somehow.
ALSO, when a wrong answer is given, the question disappears! That's terrible UX.
EDIT: I should add that I think the idea is great! But some details of the implementation could be improved.