And is the child really counting or just reciting the number sequence?
Preschool-aged children can know the order of numbers from one to ten or twenty, much as they know how to recite the letters of the alphabet in their proper order. But counting is not only about knowing the numbers in order; it involves assigning each number to an object being counted in a given set (e.g. the ducks on a page in a book) and understanding that the last number in the sequence is the total number of objects in the set.
One reason the distinction between recitation and counting is important on a practical level is that preschoolers who are able to both recite numbers and count with them perform better at math when they enter elementary school, according to this study.
Teaching counting can be a simple matter of integrating it into day-to-day activities, as the researchers recommend:
“When adults read books with children, they can count the ducks on the page. They might count the leaves that fall to the ground outside or the number of carrots at lunchtime.”
I think regularly using math in everyday life also teaches kids that math isn’t a weird and difficult subject. Many kids fear math and see numbers as abstract nonsense. Incorporating math into simple daily activities (counting money, telling time, sharing toys or candies equally among friends) may show them otherwise.