Generalizing from the discussion of piaget, what is the best way to teach children math? give students extra drills and worksheets. illustrate mathematical principles through hands-on activities. push kids to learn math in kindergarten. give students prizes for performing well in math.

I believe the best way would be: Illustrate mathematical principles through hands-on activities
According to piaget, the majority of our development come from the process of observing and imitating other people.
Hands-on activities tend to accommodate this process more compared to other type of activities.