Final answer:
Preschool children develop and use the cognitive skill of curiosity, which they will continue to utilize throughout their lives.
Step-by-step explanation:
One age-appropriate cognitive skill that preschool children will develop and use for the rest of their lives is curiosity. Preschool-age children love to ask "Why?" as they seek to understand the world around them. Curiosity is a vital cognitive skill that fuels learning and exploration, and it continues to play a role in cognitive development throughout life.