Final answer:
The cycling movement of the plant piece is caused by convection, where warm water rises and cool water sinks, creating a cycle that moved the plant around the tank.
Step-by-step explanation:
The movement of the plant piece in the fish tank can be explained by the process of convection. This is because the warmer water from the heater expands, becomes less dense, and rises, while the cooler water becomes denser and sinks. This process not only moved the plant piece around the tank but also facilitates the transfer of heat within the fish tank's water. In the context of geology, natural convection is responsible for driving plate tectonics, significantly impacting the Earth's surface over geological timescales, similar to the effect on the moving water in the classroom fish tank.