> I have a real issue dividing kids up along these lines. I've found that virtually all young kids love to explore and learn things, and if anything schooling can extinguish this innate desire when it becomes a source of stress.
This is a very bold claim. I don't think most kids are curious about the multiplication tables
They may refuse to learn multiplication tables (a popular subject if I remember right, reciting them as far as we could, a competition) while memorizing baseball stats.
Kids will learn anything that gives them social standing or self-worth in another way, whatever it takes to be a cool kid.
I think a lot of kids can be motivated for that by having a game out of counting in multiples (e.g . Have them count by 4s, 5s, etc). Which is good enough for practical purposes.
The claim was that "virtually all young kids love to explore and learn things", not that "virtually all young kids love to explore and learn multiplication tables".
> I don't think most kids are curious about the multiplication tables
Which is exactly why they stopped teaching them in US curriculum under No Child Left Behind.
Why learn multiplication tables when everyone carries a computer around with them? My kids never did (ineffective school plus later home education) and are good at maths as adults. A previous HN discussion contained this post
https://news.ycombinator.com/item?id=48395840
and ultimately this about a successful experiment in other approaches to maths:
https://www.inference.org.uk/sanjoy/benezet/1.html