How do individuals solve the Tower of Hanoi Problem?

Individuals solve the Tower of Hanoi problem by implementing means-end analysis and creating subgoals. This approach involves assessing the current state of the problem and identifying a series of steps that lead towards the goal state, which is to move all the discs from the source peg to the target peg in a specific order.

In this problem, the strategy of means-end analysis is particularly effective because it helps individuals break down the complex task into smaller, manageable subgoals. For instance, a player must move the discs between pegs while adhering to the rules—only moving one disc at a time and never placing a larger disc on top of a smaller one. By establishing these subgoals, such as moving the smaller discs first and gradually building towards relocating the larger disc, individuals can more easily visualize and execute the necessary moves to reach the solution.

In contrast, the other strategies are less effective or impractical for solving this problem. For example, moving all discs at once to the goal state is not possible due to the rules of the game, and reversing moves from the goal state would not lead to a productive path given that it does not structure progress towards the solution. Lastly, randomly arranging the discs would not systematically address the problem requirements and would likely lead