# The final stage is called the formal operations stage

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The final stage is called the formal operations stage. This stage begins at age 11 and continues into adulthood. Piaget believed some people would never reach this stage. After age 11 children can think more abstractly. They understand figurative language. And they can participate in propositional logic. This means if a researcher gave them a statement like: If you color on green paper with a purple marker, the paper will turn pink. Jenny colored on green paper with a purple marker. What happened to the paper? The child in the formal operations stage will be able to say that the paper would turn pink because they can follow the logic of the statement, even if it's not true. These stages are extremely helpful in schools because they give teachers guidelines on how to teach children of different ages. A seven year old is not going to understand algebra because it is an abstract concept and they only recently learned that numbers can stand for an amount of objects. Because Piaget thinks that any child will want to make sense of their own world, many children are given the opportunity to make their own discoveries and learn from them. I think that most of Piaget's theory makes a lot of sense. There are distinct check in points at different ages within normal development. Those points include all of the characteristics of the stages. So he was correct in saying that certain abilities develop at different ages. I, however, think that the stages are not to rigid. There is a lot of flexibility as to when a child will develop. There have been many recent finds that challenge the timeline that Piaget gave. Many babies begin to develop object permanence well before the age of two. Some children, if they are trained a certain way, will be able to perform the Liquid Conservation task earlier that others. I agree with the sequence of development that Piaget proposed, but I do not necessarily agree with the specific ages and timeline that make up the stages. 3.
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