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Reversibility in the Concrete Operational Stage
Reversibility is the understanding that actions can be reversed. In the concrete operational stage, this applies not only to physical objects returning to their original form but also to mental operations. For example, a child understands that mathematical transformations can be undone, such as recognizing that addition is the opposite of subtraction or that multiplication is the inverse of division.
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Reversibility in the Concrete Operational Stage
An 8-year-old is presented with two identical balls of clay. He watches as a researcher rolls one of the balls into a long, thin, snake-like shape. When asked if one shape now contains more clay, the child correctly responds that they both still have the same amount. This child's ability to understand this principle demonstrates:
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Example of Reversibility: Pouring Water
An 8-year-old child understands that if 4 + 5 = 9, then 9 - 5 must equal 4, without having to perform the subtraction calculation. This ability to recognize that a mathematical operation can be undone by its opposite demonstrates which of the following cognitive principles?