Younger school-age children, six to 12 years old, should be at the “concrete operations” stage of Piaget’s cognitive development theory, characterized by the ability to use logical and coherent actions in thinking and solving problems. They understand the concepts of permanence and conservation by learning that volume, weight, and numbers may remain constant despite changes in outward appearance. These children should be able to build on past experiences, using them to explain why some things happen. Their attention span should increase with age, from being able to focus on a task for about 15 minutes at age six to an hour by age nine.
Adolescents, ages 12 through 18, should be at the “formal operations” stage of Piaget’s cognitive development theory. It is characterized by an increased independence for thinking through problems and situations. Adolescents should be able to understand pure abstractions, such as philosophy and higher math concepts. During this age, children should be able to learn and apply general information needed to adapt to specific situations. They should also be able to learn specific information and skills necessary for an occupation. A major component of the passage through adolescence is a cognitive transition. Compared to children, adolescents think in ways that are more advanced, more efficient, and generally more complex.