Final answer:
The formal operational stage allows the development of formal logic, abstract thinking, and hypothetical reasoning, marking a significant qualitative growth in cognitive skills from around age 11 onwards.
Step-by-step explanation:
The kind of thinking and reasoning that can be developed at the stage described is formal logic, abstract thinking, and hypothetical reasoning. This stage is known as the formal operational stage in Piaget's theory of cognitive development, which begins at about age 11 and continues into adulthood. In this stage, individuals are capable of thinking logically about abstract concepts and hypothetical situations, which enables them to reason logically, solve complex problems, and understand abstract ideas like freedom. Moreover, it allows them to consider multiple points of view and imagine various hypothetical scenarios, suggesting the development of new thinking abilities that differ from their previous concrete operational thinking.