Why counting is hard for a child

When a third grader still counts on their fingers, adults usually react in one of two ways: they scold or they're baffled. Yet neuropsychology answered this question long ago — and the answer has nothing to do with laziness or intelligence.

Counting isn't one skill — it's five

R.I. Lalaeva, who studied calculation disorders in children, described the psychological structure of learning math. The main conclusion: counting requires at least five mental functions working at the same time. If even one of them is underdeveloped, the child gets stuck.

Five functions math can't do without

Spatial perception. To understand the number 42, you need to see that the left and right digits mean different things. Children with impaired spatial perception confuse 42 and 24, drop place values when writing numbers, and can't find their way around a grid-ruled notebook.

Conservation of number. Jean Piaget showed that up to a certain age, children are sure the number of objects changes if you rearrange them. Until this principle is mastered, the concept of number remains unstable.

Classification and seriation. To understand that 7 = 3 + 4 = 5 + 2 = 6 + 1 is all one and the same number, a child has to be able to split a group into parts in different ways. Without this, number bonds turn into a set of facts to cram.

Working memory. To solve 24 − 6, you need to hold several steps in your head at once. If working memory is limited, the child loses track of the solution halfway through.

Speech. Math concepts rely on the precise meaning of words. “How many more” and “how many times more” are different problems. A child with speech difficulties will get confused by word problems even if they can count.

Why fingers are normal (up to a certain age)

P.Ya. Galperin described three stages in forming any mathematical action: action with objects, saying it out loud, inner speech. A child who still counts on their fingers in Grade 3 is stuck at the first stage — the next ones were never completed.

Sticks, counting frames, dominoes — these aren't “for little kids.” This is a tool for getting through the first stage, and it's backed by neuroscience.

What helps

• Start with objects, not digits — the stage of working with materials is essential.
• Check spatial orientation: whether the child understands what is to the right, higher up, closer.
• Play classification games: sorting buttons in different ways is exactly how you practice number bonds.