Final answer:
The statement that preschoolers' balance and coordination worsen is false; during this stage, children typically show improvements in balance, coordination, and motor skills.
Step-by-step explanation:
The statement that a preschooler's balance and coordination becomes worse due to changing proportions is false. During the preschool years, children generally improve in their physical coordination and stability. This development is due to the gradual maturation of motor skills and an increase in the size of their feet compared to the rest of the body, which provides a larger base of support. Moreover, as children grow, they learn how to manage their center of gravity better, which helps in balance and posture. By the age of four, most children have improved motor skills, such as being able to go downstairs one foot per step, skip on one foot, and pedal a tricycle with ease. These abilities demonstrate the advancement in coordination and balance rather than a decline.