65. Based on Piaget's theory, which of the following indicates that a child has shifted from the concrete operational stage to the formal operational stage?

Answer: B

Explanation:

The child is able to develop hypotheses and systematically conclude which is the best path to follow in solving a problem.

This statement highlights a key characteristic of the formal operational stage, where children develop the ability to think abstractly, reason logically, and systematically solve problems through hypotheses.

A) The child is able to understand that numbers or objects can be changed and then returned to their original states.

This option describes a characteristic of the concrete operational stage, where children understand concepts like conservation. However, it does not indicate a shift to the formal operational stage, which involves more advanced reasoning abilities.

B) The child is able to develop hypotheses and systematically conclude which is the best path to follow in solving a problem.

This option correctly identifies a hallmark of the formal operational stage. At this stage, children can think abstractly and logically, allowing them to formulate and test hypotheses as part of problem-solving processes.

C) The child is able to understand that the quantity, length, or number of items is unrelated to the arrangement or appearance of the items.

This statement pertains to the concept of conservation, which is a skill developed during the concrete operational stage. It does not reflect the advanced cognitive abilities associated with the formal operational stage.

D) The child is able to name and identify sets of objects according to appearance, size, or other characteristics, including the idea that one set of objects can include another.

This option describes skills related to classification and seriation, which are typically mastered in the concrete operational stage. It does not demonstrate the abstract reasoning capabilities characteristic of the formal operational stage.

Conclusion

The correct answer, B, distinctly illustrates the cognitive advancements that occur as a child transitions to the formal operational stage, particularly in their ability to hypothesize and systematically approach problem-solving. In contrast, options A, C, and D reflect skills associated with the concrete operational stage, failing to capture the abstract reasoning necessary for formal operational thought. Thus, option B stands out as the definitive indicator of this developmental shift.