Coloring helps the child to learn how to control the scale of his hand. Please note that when the baby is just started to draw he does not monitor the boundaries of the sheet, and the picture is not painted on the outlines, and even beyond.
Believe it or not, but the painting will help to improve intellectual skills. It stimulates those brain regions that increase the concentration and attention. It will help solve organizational problems. It seems strange that such activity in general is able somehow to train the skill of time management, but it's true. The fact is that for structuring the information meets the frontal lobe of the brain, and the painting of small and intricate details intensifies its work. The more colors you use, the more complex designs there will be, the brain will work better.