The concrete operational stage usually occurs between the ages of seven and twelve. During the concrete operational stage, a child begins to see the world in relation to others, not just himself. Children also begin to develop logical thinking; they begin to understand that the way objects are set up has nothing to do with the amount of an object. For example, children will begin to understand that in the following pictures, even though they are set up differently, different colors, etc., there are still only four boxes in each picture.
The final stage of Piaget's theory is known as the formal operational stage. The formal operational stage begins around age twelve and lasts throughout our adult lives. During this stage we develop both logical and abstract thinking. Our thought process is ever changing. For example, if you ask a four year old girl why she eat apples, she may say, "they're yummy." Asking the same question to a twelve year old girl may get you a response such as, "they're good for me" Asking a college student in a nutrition class why a person eats apples can lead to an entire discussion on what foods you should eat and what they do for you.
-